mm-274 === Subject: Re: Gauss Method 2+4+6+8+...512> My professor wants me to learn how to do the Gauss problems> IE:2+4+6+8+...+512 and 1+2+3+4+5+...+1000 using algebra not write 1+2+3+...+1000 as> 1+ 2+ 3+ ... + 500 +> 1000+999+998+ ... + 501> Now adding vertically first gives 500 copies of 1001 to be added.> this is, more or less, what Gauss did.See my other post where I explain what Gauss did do.What with you method do I do with 1+2+...+101 ?Here's a slower short cut1+2+3+4+5 = 156+7+8+9+10 = 5*5 + 15 = 401+2+...+10 = 5511+12+...+20 = 10*10 + 55 = 15521+...+30 = 20*10 + 55 = 2551+2+...+100 = 10*(0+1+2+3...+9) +10*55 = 10*(55-10) + 550then make last steps for 1,000's.The orginal problem was punishment for unrulely math classto add 1+2+...+100. Gauss avoided his punishment and hadgood fortune to have teacher who reconized his creative work.My longer short cut is for smart students not as smart as Gaussor for those who wan to look like that took long enuf for thepurpose of the === help if I explained some of the particulars offactorizations, especially since most of you are probably used tooperating in mathematical areas where numbers like 1/2 and 1/3 arealways available.However, while in the complex plane you always have fractionsavailable, there are other domains where you do not.1. Factorizations are just ways of looking at factors of someproduct.For instance, 2(3) is a factorization of 6, which tells you that 6 isa product of 2 and 3.That factorization is in an integer domain, which simply means thatyou have only integeso a factorization like 5(6/5) = 6, is notvalid in integethough it is valid in some other domain that has1/5 as a member.2. Algebra allows a generalization of factorizations beyond specificnumber examples, for instance(x+2)(x+3) = x^2 + 5x + 6which is true without regard to what domain x is in, so you can let xbe an integer, or it could be a fraction.3. If x is an integer, then you're guranteed to be in the integerdomain, which logically follows from the fact that x is added to andmultiplied times other integers.4. Algebraic integers are roots of monic polynomials with integercoefficients e.g. x^2 + 5x + 6, as monic just means that leadingcoefficient is a factor of 1 in the integer domain.Not surprisingly, if x is an algebraic integer, then x^2 + 5x + 6 isan algebraic integer, and the factorization(x+2)(x+3) = x^2 + 5x + 6 is in the algebraic integer domain.What I've done is consider factorizations of polynomials, where thefactors are not polynomials.5. In an attempt at questioning an important conclusion a Rick Deckermade a post with his own example of such a factorization, and I'veused it partly because it's a quadratic and easier to handle.That factorization is(5a_1(x) + 7)(5a_2(x) + 7) = 7(25x^2 + 30x + 2) where his a's are roots of a^2 - (x - 1)a + 7(x^2 + x).Notice that it is a factorization because you have factors (5a_1(x) + 7) and (5a_2(x) + 7) which multiply to give the product 7(25x^2 + 30x + 2).Algebra allows me to make the substitution a_2(x) = b_2(x) - 1 to get(5a_1(x) + 7)(5b_2(x) + 2) = 7(25x^2 + 30x + 2) where the purpose is to balance out constant factowhich here arenumbeon both sides of the equation.Integers are rather easy to work with so now I can use them todetermine what is forced upon the variables.Notice that multiplying out gives25 a_1(x) b_2(x) + 10 a_1(x) + 35 b_2(x) + 14 = 175 x^2 + 210 x + 14.That's important because I now attempt to eliminate the factor of 7from both sides, and to do so while remaining in the domain ofalgebraic integers.6. The logical conclusion is that the only way that might possiblyallow that is(5a_1(x)/7 + 1)(5b_2(x) + 2) = 25x^2 + 30x + 2as consider another possibility, like (5a_1(x)/sqrt(7) + sqrt(7))(5b_2(x)/sqrt(7) + 2/sqrt(7)) = 25x^2 + 30x + 2which gives the factorizationsqrt(7)(2/sqrt(7)) = 2as multiplying out gives25 a_1(x) b_2(x)/7 + 10 a_1(x)/7 + 5b_2(x) + 2 = 25 x^2 + 30 x + 2and the two factors are(5a_1(x)/sqrt(7) + sqrt(7))and(5b_2(x)/sqrt(7) + 2/sqrt(7))which internally have sqrt(7) and 2/sqrt(7) as the factors of 2.But that second factor cannot be in the domain of algebraic integersas 2/sqrt(7) is not an algebraic integer.Generalizing, for any factorization of 7, with algebraic integers f_1and f_2, where f_1 f_2 = 7, and f_1 is assumed to be a factor of(5a_1(x) + 7) you will have(5b_2(x)/f_2 + 2/f_2)as a factor, and if 2/f_2 is not an algebraic integer, then thatfactor is not in algebraic integers.7. Logically that follows from the requirement that for afactorization to be in a particular domain, its factors must be inthat domain as well.Like before, with 2(3) = 6, in the domain of integers that is valid,while 5(6/5) = 6 is not valid in the domain of integers.So if you're trying to remain in the domain of algebraic integers then(5a_1(x)/7 + 1)(5b_2(x) + 2) = 25x^2 + 30x + 2is the only possibility.Mathematicians, however, for many years believed that if the roots ofa quadratic likea^2 - (x - 1)a + 7(x^2 + x)are not integethen there's no way to figure out where factors of 7might go between those roots, but they believed that they did split upin some way such that each root would have some factor of 7 in thering of algebraic integers.My work proves that wrong with simple algebraic principles by usingnon-polynomial factowhich is the step mathematicians did not take.Unfortunately, rather than accept these results, most mathematiciansare ignoring my work, while you can see on Usenet === Re: Factorizations, underlying theory> It might help if I explained some of the particulars of> factorizations, especially since most of you are probably used to> operating in mathematical areas where numbers like 1/2 and 1/3 are> always available.> I don't know if you intend it this way, but sometimes you are a very funny guy.Now where the hell did I put === might help if I explained some of the particulars of> factorizations, especially since most of you are probably used to> operating in mathematical areas where numbers like 1/2 and 1/3 are> always available.> However, while in the complex plane you always have fractions> available, there are other domains where you do not.> 1. Factorizations are just ways of looking at factors of some> product.> For instance, 2(3) is a factorization of 6, which tells you that 6 is> a product of 2 and 3.> That factorization is in an integer domain, which simply means that> you have only integeso a factorization like 5(6/5) = 6, is not> valid in integethough it is valid in some other domain that has> 1/5 as a member.> 2. Algebra allows a generalization of factorizations beyond specific> number examples, for instance> (x+2)(x+3) = x^2 + 5x + 6> which is true without regard to what domain x is in, so you can let x> be an integer, or it could be a fraction.> 3. If x is an integer, then you're guranteed to be in the integer> domain, which logically follows from the fact that x is added to and> multiplied times other integers.> 4. Algebraic integers are roots of monic polynomials with integer> coefficients e.g. x^2 + 5x + 6, as monic just means that leading> coefficient is a factor of 1 in the integer domain.> Not surprisingly, if x is an algebraic integer, then x^2 + 5x + 6 is> an algebraic integer, and the factorization> (x+2)(x+3) = x^2 + 5x + 6 is in the algebraic integer domain.> What I've done is consider factorizations of polynomials, where the> factors are not polynomials.> 5. In an attempt at questioning an important conclusion a Rick Decker> made a post with his own example of such a factorization, and I've> used it partly because it's a quadratic and easier to handle.> That factorization is> (5a_1(x) + 7)(5a_2(x) + 7) = 7(25x^2 + 30x + 2)> where his a's are roots of> a^2 - (x - 1)a + 7(x^2 + x).> Notice that it is a factorization because you have factors> (5a_1(x) + 7) and (5a_2(x) + 7)> which multiply to give the product 7(25x^2 + 30x + 2).> Algebra allows me to make the substitution a_2(x) = b_2(x) - 1 to get> (5a_1(x) + 7)(5b_2(x) + 2) = 7(25x^2 + 30x + 2)> where the purpose is to balance out constant factowhich here are> numbeon both sides of the equation.> Integers are rather easy to work with so now I can use them to> determine what is forced upon the variables.> Notice that multiplying out gives> 25 a_1(x) b_2(x) + 10 a_1(x) + 35 b_2(x) + 14 => 175 x^2 + 210 x + 14.> That's important because I now attempt to eliminate the factor of 7> from both sides, and to do so while remaining in the domain of> algebraic integers.> 6. The logical conclusion is that the only way that might possibly> allow that is> (5a_1(x)/7 + 1)(5b_2(x) + 2) = 25x^2 + 30x + 2> as consider another possibility, like> (5a_1(x)/sqrt(7) + sqrt(7))(5b_2(x)/sqrt(7) + 2/sqrt(7)) => 25x^2 + 30x + 2> which gives the factorization> sqrt(7)(2/sqrt(7)) = 2> as multiplying out gives> 25 a_1(x) b_2(x)/7 + 10 a_1(x)/7 + 5b_2(x) + 2 => 25 x^2 + 30 x + 2> and the two factors are> (5a_1(x)/sqrt(7) + sqrt(7))> and> (5b_2(x)/sqrt(7) + 2/sqrt(7))> which internally have sqrt(7) and 2/sqrt(7) as the factors of 2.> But that second factor cannot be in the domain of algebraic integers> as 2/sqrt(7) is not an algebraic integer.> Generalizing, for any factorization of 7, with algebraic integers f_1> and f_2, where f_1 f_2 = 7, and f_1 is assumed to be a factor of> (5a_1(x) + 7) you will have> (5b_2(x)/f_2 + 2/f_2)> as a factor, and if 2/f_2 is not an algebraic integer, then that> factor is not in algebraic integers.> 7. Logically that follows from the requirement that for a> factorization to be in a particular domain, its factors must be in> that domain as well.> Like before, with 2(3) = 6, in the domain of integers that is valid,> while 5(6/5) = 6 is not valid in the domain of integers.> So if you're trying to remain in the domain of algebraic integers then> (5a_1(x)/7 + 1)(5b_2(x) + 2) = 25x^2 + 30x + 2> is the only possibility.> Mathematicians, however, for many years believed that if the roots of> a quadratic like> a^2 - (x - 1)a + 7(x^2 + x)> are not integethen there's no way to figure out where factors of 7> might go between those roots, but they believed that they did split up> in some way such that each root would have some factor of 7 in the> ring of algebraic integers.> My work proves that wrong with simple algebraic principles by using> non-polynomial factowhich is the step mathematicians did not take.> Unfortunately, rather than accept these results, most mathematicians> are ignoring my work, while you can see on Usenet a few who attempt to> convince others that I'm wrong.> James, You are ignorant and inept. You act like we owe you something for somereason, which we don't. You are a crank; you needlessly contact people'semployers. When are you going to grow up and act like a man, instead of animmature kid. Grow up === might help if I explained some of the particulars of> factorizations, Hey stooopid loud troll , put up or shut a $10,000 prizeno questions asked too small to justify your submission of two littleprime numbers? Put up or shut up,http://www.rsasecurity.com/rsalabs/challenges/factoring/ faq.htmlhttp://www.rsasecurity.com/rsalabs/challenges/ factoring/numbers.htmlhttp://www.crank.net/harris.html It's not every braying jackass that gets a whole page at in a henhouse, asteer amidst cows; a stot, a gelding, a gelt, a havier, a gib, alapin, a seg, a hog, a wether... a boring psychotic ignorant troll ina science newsgroup.--Uncle Alhttp://www.mazepath.com/uncleal/qz.pdfhttp:// www.mazepath.com/uncleal/eotvos.htm (Do something naughty to === I S S E R23 9 19 19 5 18 = 93 Oh dear. Jordan is in today's Saskatoon Star-Phoenix (Penis CitySun-Sunbird) obituaries, he passed away accidentally on Saturday January170+ KerryKerry 77 Wisser 93162+ SallySally 69 Wisser 93135+ JoelJoel 42 Wisser 93146+ LauraLaura 53 Wisser 93239 Jordan 12 6 91 163/202 12533Jordan 62 Alexander 84 Wisser 93 Dad's first name adds to 77. The brothers have first names addingtogether for 104 (77th non-prime).Non-Primes 1 27 50 72 93 4 28 51 74 94 6 30 52 75 95 8 32 54 76 96 9 33 55 77 9810 34 56 78 9912 35 57 80 10014 36 58 81 10215 38 60 82 104 <-77th16 39 62 84 10518 40 63 85 10620 42 64 86 10821 44 65 87 11022 45 66 88 11124 46 68 90 11225 48 69 91 11426 49 70 92 115 Jordan's common name adds to the 155 verses of Bible Book 7x7. Hisconsonants exceed his vowels by the 155 verses of Bible Book 7x7. He has anaverage of 7 letters per name, he has 21 (7+7+7) lettethe number ofchapters in Bible Book 7. The vowels in his given names add to 28 (1 through7) while the consonants in his given names add to 118 (twice the 17thprime). His consonants add with their positions for 343 (7x7x7). His veryfirst and very last letters add together for 28 (1 through 7). He was bornon the 12th (7th non-prime), Bible Book 12 (7th non-prime) contains 719verses (the 128th or the 2 to the 7th prime). Jordan died on the 17th day ofthe month (the 7th prime while the primes up to 7 add to 17) and on the 7thday of the week. His dad is Kerry (77).243 <- 1 Samuel 7274 <- 2 Samuel 7---517298 <- 1 Kings 7320 <- 2 Kings 7---618345 <- 1 Chronicles 7374 <- 2 Chronicles 7---719 See above that First Kings 7 and Second Kings 7 are chapters 298 and 320,together for the 618 verses of Bible Book 7. And First Samuel 7 and SecondSamuel 7 averages with First Chronicles 7 and Second Chronicles 7 for the618 verses of Bible Book 7 (243+274+345+374=618+618). And First Chronicles 7and Second Chronicles 7 are chapters 345 and 374, together for the 719verses of Bible Book 12, pretty as 12 is the 7th non-prime while 719 is the128th or the 2 to the 7th prime. See Books by Bonnie Gaunt for a Gematricdiscussion of the number 618. Primes In Prime Primes Positions 1 2 2 3 <- 3 3 5 <- 5 4 7 5 11 <- 11 6 13 7 17 <- 17 8 19 9 2310 2911 31 <- 3112 3713 41 <- 4114 4315 4716 5317 59 <- 59 --- 167 Esther Book 17 17 is the 7th prime while the primes up to 7 add to 17. There are 7primes in prime positions up to the 17th prime (59) and they add to the 167verses of Bible Book 17. Esther becomes Queen in Book 17 and Q is the 17thletter of the alphabet. Psalm 59 (the 17th prime) not only contains 17verses, it is the 17th chapter in the Bible to contain the length of 17verses. James is Book 59 (the 17th prime), it's 108 verses is the 17th primeshort of the 167 verses of Book 17. The first 17's are at chapters 91 and93, together for 184, or the 167 verses of Book 17 plus 17 more. The first17's are at chapters 91 and 93, surrounding 92 (the 4x17th non-prime).Non-Primes 1 27 50 72 4 28 51 74 6 30 52 75 8 32 54 76 9 33 55 7710 34 56 7812 35 57 8014 36 58 8115 38 60 8216 39 62 8418 40 63 8520 42 64 8621 44 65 8722 45 66 8824 46 68 9025 48 69 9126 49 70 92 <-68th Leviticus begins with 17 verses and terminates at chapter 117 with 17+17verses. There are 17 verses at chapters 1 and 3, and 59 (the 17 prime)verses at chapter 13, so the 17's and the 17th prime are at chapter numbersadding to 17 (1+3+13=17). The first 17 versed chapters in the Bible are atchapters 91 and 93, together for 184, or the 167 verses of Book 17 plus 17more. Leviticus contains 859 verses, it ends in 59 (the 17th prime). Thefirst 17's in the Bible surround chapter 92 (the 4x17th non-prime):Leviticus--------- 91 1 17 92 2 <-68th (4x17th) non-prime 93 3 17 94 4 95 5 96 6 97 7 98 8 99 9100 10101 11102 12103 13 59 <-17th prime104 14105 15106 16107 17108 18109 19110 20111 21112 22113 23114 24115 25116 26117 27 34 <-17+17 Dad's first name adds to 111.59% of mom's first name. The males havefirst names adding together for 181, the females have first names addingtogether for 122 (a difference of 59). Jordan's last two names add togetherfor 177 (3x59). The even valued letters in his given names add to 118(59+59). The consonants in his given names add to 118 (59+59). His primevalued letters add to 76 (17 plus the 17th prime), corresponding to Exodus26 (17th non-prime). His square valued letters add to 17. Jordan's 239valued name exceeds his 163rd day of birth by 76 (17 plus the 17th prime),corresponding to Exodus 26 (the 17th non-prime). Jordan lived for 12.59years. Jordan lived for 4602 (26x(59+59+59)) days. Jordan was a grade 7student at James L. Alexander School, pretty as James is Bible Book 59 (the17th prime). The primes in prime positions up to the 17th prime (59) add tothe 167 verses of Bible Book 17 while the 108 verses of James (Book 59, the17th prime) is the 17th prime (59) short of the 167 verses of Book 17. Psalm59 (the 17th prime) not only contains 17 verses, it is the 17th chapter inthe Bible to contain the length of 17 verses. Dad's common name adds to 170(Deuteronomy 17). Dad and Jordan have first names adding together for 139(the 17+17th prime). The family name adds to 93 (Leviticus 3 with 17verses). Jordan was born in 91 (Leviticus 1 with 17 verses). The first 17'sin the Bible are at chapters 91 and 93, together for 184 (the 167 verses ofBible Book 17 plus 17 more). Jordan was born a multiple of 167 days into theprime positions up to the 17th prime add to the 167 verses of Bible Book 17.Jordan died accidentally on January 17th.Primes Non-Primes 2 1 3 4 5 6 7 8 11 9 13 10 17 12 19 14 23 15 29 16 31 18 37 20 41 21 43 22 47 24 53 25 59 <-17th-> 26 --- --- 440 251 The parents have first names adding together for the 146 verses of BibleBook 30. Laura's common name adds to 146. Jordan's given names add to 146.Jordan's 239 valued name is 146.62% of his 163rd day of birth. He lived for4602 days. Dad's first name adds to 77 (the primes up to 19). Mom's first name addsto 69 (Exodus 19). All first names add together for the 303 verses ofHebrews (the 19th Book of the New Testament). Jordan was born on day 163,it's the 38th (19+19th) prime. Old Testament Book 19 and New Testament Book19 together contain 163 chapters (the 19+19th prime). His day, month andyear of birth adds to 109 (Leviticus 19). He was born on the 12th, BibleBook 12 contains 719 verses. Jordan died 219 days after his birthday.Primes 2 61 149 3 67 151 5 71 157 7 73 163 <-38th11 79 16713 83 17317 89 17919 97 18123 101 19129 103 19331 107 19737 109 19941 113 21143 127 22347 131 22753 137 22959 139 233 Sally adds to 69 and she married Wisser (93, the 69th non-prime). Wisseradds to 93 (Bible Book 3 chapter 3) and they have 3 kids. Bible Book 3contains 27 (3x3x3) chapteit's 859 verses is 3x3x3x3x3x3 plus 3x3x3 plus103 (the 3x3x3rd prime). The 3x3 different letters in Jordan's given namesadd to 103 (the 3x3x3rd prime), he is the 3rd of 3 kids. His name adds to239 (Bible Book 3x3 chapter 3), he was born on day 163.3x3x3x3x3x3 3x3x3 103 <- the 3x3x3rd prime----------- 859 <- the number of verses in Bible Book 3 Jordan was born on the 6+6th day of the 6th month. He was born in 91 (1through to 13, the 6th prime). His middle name adds to 84 (the first 13primes minus the first 13 non-primes). 66.666...% of his names are 6lettered, and his 6 lettered first name adds to 66.666...% of his 6 letteredlast name. His 12 (6+6) different letters add to the 154 verses ofLamentations (the first 13 non-primes). The kids have first names adding to42, 53 and 62, together these Bible Books contain 1303 verses, it's the213th prime. We first hear of Jordan in Genesis 13.Primes Non-Primes Fibonacci Lucas 2 1 0 1 3 4 1 3 5 6 1 4 7 8 2 7 11 9 3 11 13 10 5 18 17 12 8 29 19 14 13 47 23 15 21 76 29 16 34 123 31 18 55 199 37 20 89 322 41 <-13th-> 21 <-13th-> 144 <-13th-> 521 --- --- 238 154 <-Lamentations1-50 - Genesis51-90 - Exodus91-117 - Leviticus118-153 - Numbers154-187 - Deuteronomy188-211 - Joshua930-957 - Matthew958-973 - Mark974-997 - Luke998-1018 - John1019-1046 - Acts1047-1062 - Romans 188 <-the opening chapter of Book 6 is 6x6x6 short of the 404 verses of Bible Book 66, it is the 6th prime squared (13x13) short of the 357 verses of Daniel (also in part about 666) 193 <-Book 6 chapter 6 is the 44th prime, while 44 is in turn 66.666...% of 66 211 <-the terminating chapter of Book 6 is approximately 66.6% of the 66th prime (317) 357 <-the opening chapter of Book 6 plus the 6th prime squared is the 357 verses of Daniel (in part about 666) 404 <-the 6th prime squared (13x13) plus the 6th prime squared (13x13) plus 66 adds to the 404 verses of Bible Book 661062 <-666 plus 6x66 is a combination of the 658 verses of Bible Book 6 plus the 404 verses of Bible Book 66, and is the terminating chapter of New Testament Book 61070 <-666 plus the 404 verses of Book 66 is the 1070 verses of Job (Book 6+6+6)1213 <-Exodus terminates at chapter 90 (66th non- prime) with 1213 verses (the 198th or the 66+66+66th prime)1292 <-the 658 verses of Book 6 plus twice the 66th prime (317) is the 1292 verses of Isaiah (the Book contains 66 chapters) Jordan's parents have first names adding together for 146 (twice the 73verses of Bible Book 29 and is the Book of Numbers chapter 29). The first oftheir kids is Joel (Bible Book 29), the letters in Joel add to 42 (the 29thnon-prime). Dad and Joel have first names differing in value by 35 (Genesis29 contains 35 verses, Genesis 35 contains 29 verses, and there are 35chapters in the Bible that contain the length of 29 verses). All first namesin the family add together for the 303 verses of Hebrews, Bible Book 58(29+29), this 58 (29+29) is the 42nd non-prime while 42 in turn is the 29thnon-prime. Jordan's given names add to 146 (twice the 73 verses of BibleBook 29 and is the Book of Numbers chapter 29). In his given names, hisunrepresen letters exceed his represen letters by 145 (5x29). Hisvowels add to 42 (29th non-prime). His Fibonacci valued letters add withtheir positions for 203 (7x29). His Lucas valued letters are exceeded by hisnon-Lucas valued letters by 109 (29th prime). His day, month and year ofbirth adds to 109 (29th prime). Jordan died 219 days after his birthday (3times the 73 verses of Bible Book 29). Bible Book 13 (the 6th prime)contains 29 chapters and Bible chapter 666 contains 29 verses, pretty as 29is 6 plus the 6th prime (13) plus the 6th non-prime (10). There were 29Lucas 1 3 4 7 11 18 29 -- 73 <-the Lucas numbers up to 29 add to the 73 verses of Bible Book 29J O E L <-Bible Book 2910 15 5 12 = 42 <-29th non-primeC O P P E R <-29th element3 15 16 16 5 18 = 73 <-Book 29 and is the Lucas numbers up to 29, there is a copper riding a horse on the 1973 Canadian 25 cent pieceC E N T <-made out of 29th element3 5 14 20 = 42 <-29th non-primeCopper and Zinc are elements 29 and 30 (togetherfor 59), and together they make Brass (59):B R A S S2 18 1 19 19 = 59 Jordan was born on the 12th day of the month. His first name adds to 62(Exodus 12). His middle name adds to 84 (7x12). He has 12 letters in hiscommon name. He has 12 different letters in his full name. The 14 differentletters he is missing from his name add to 197 (the first 12 primes). Hisfirst 12 and last 12 letters average 139 (the Book of Numbers chapter 12, orsimply Numbers 12). Dad and Jordan have first names adding together for 139found his obituary in a newspaper published on the 20th (12th non-prime).The kids have first names adding together for 157 (the 37th prime while 37in turn is the 12th prime), it is the 12th prime in prime position. Again,Bible Book 12 (7th non-prime) contains 719 verses (the 2 to the 7th prime).Primes Non-Primes Fibonacci Lucas 2 1 0 1 3 4 1 3 5 6 1 4 7 8 2 7 11 9 3 11 13 10 5 18 17 12 8 29 19 14 13 47 23 15 21 76 29 16 34 123 31 18 55 199 37 <-12th-> 20 <-12th-> 89 <-12th-> 322 --- --- --- --- 197 133 232 840 The obituary states He will be missed beyond words and we take somesolace in knowing Jordan is in heaven taking care of us now. The funeralservice is to be conduc by The Lakeview Methodist Church, likely theminister will provide assurances to the family that Jordan is in heaven, andlikely the family believes this load of crap because it is the line that thefilthy churches (and media, they are uni with the churches) have beenfeeding them for years. The Bible is clear that the dead know nothing, thatthey are in the ground waiting for the second coming of the Lord, they willnot go to heaven until judged worthy of such. For the parents or thechurches to claim that their son is in heaven means that they are judgingthe son, and have judged him worthy of the great honor. They taught the sonto turn trees into decora idols, now they are having him crema like hewas a God-damned Hindu, and then have the audacity to claim that theirsmitten son is in heaven. The death was not an accident, the kid wassmitten. The churches teach that the dead are in heaven because they desireto make the family feel good about supporting the church. And by teachingthat the dead are in heaven, this opens the door to necromancy (talking tothe dead) and other forms of spirituality where the dead individual isprovided with god-like attributes, as in this case where it is bluntlysta that Jordan is now taking care of the family. Believing thatprotection comes from horsehoes, rabbit's feet, planets, numbecolors,furniture placement, decora trees, Mary or dead family members is idolatry, repent of the crap or be prepared to lose another family member, Ipredict. Protestant and Catholic church members were upset with my words andlobbied my abusive parents to have me tortured, I begged in vain forassistance to flee my persecutonow see where this gets you?!!! It isquite likely the family still has their decora tree up, I bet it's heightin inches and the number of decorations strongly relates to Jordan's nameand age at death, or maybe Jordan died when the God-damned tree fell on him.You people only have compassion for your decora trees and othertraditions, let your decora trees, traditions and Jordan save you. Goappeal to Shaw Cable to terminate my internet account, go appeal to thepolice to arrest me, go appeal to my parents to have me arres, go appealto thugs to beat me or kill me, and I will appeal to God to terminate thelives of your other two children (Exodus 20:5 and Hosea 4:6). Vengeancebelongs to The Lord, and I leave vengeance to The Lord, feel free to have mearres and tortured and then quote Scripture to me telling me to leavevengeance to the Lord, and feel free to have me arres and tortured andthen quote Scripture to me telling me that God is love and I so should behappier.187 Dar 17 2 57 48/317 00Daryl 60 Shawn 65 Kabatoff 62240 Bethany 28 10 76 302/64 7193Bethany 75 Ruth 67 Guenther 98187 Marcia 6 8 80 219/147 8571Marcia 45 Veronica 87 Acevedo 55288 Melinda 23 3 83 82/283 9530Melinda 58 Janelle 59 Elaine 46 Joyce 58 Jarocki 67 Anyway, if you people think that you have the right to use my abusiveparents as tools and arrest and torture me, then I think that I should havethe right to ask women to marry me, or to marry Marcia and me, our lastnames add together for the 117 verses of Song of Solomon, it's the Bible'sBook of Love. The nubile sweety was born on the 6th and has a 6 letteredfirst name). Isaiah is the Book with 66 chaptepretty as it is Book 23,or the 6th prime plus the 6th non-prime (13+10=23). Isaiah 4, 12 and 20(adds to 6x6) each contains 6 verses. Isaiah 4:1 is about Marcia (and me),and 6 other women who are capable of feeling shame rather than pride, greedor lust, or who limit their love for traditions and for people who abide bytheir traditions. Actually and probababbly it's about Marcia and Bethany andme, and 5 other women. Anyway, you people have Egyptian penises on the roofsof your churches and lined city streets with representations of penises, andhad me tortured for years for saying so, others just sat back in silencewhile they were doink this to me, and similarly you remain silent andcompassionless now that the arrests and torture have ceased. You peoplespent millions of dollars having me tortured, and then annually you spendbillions on your decora trees, I begged and begged for assistance to fleethe country (they tortured me for years at the U of S) and you people are socheap that you can't even offer to buy me a cookie when I bust my ass toshow you evidence that your very name is a gift from God, you cheap, filthy,compassionless won't even spend 48 cents on a stamp so that youcould send me a letter in the mail thanking me for taking the time out of mylife to show you evidence that your very name is a gift from God!!! All youare really good for is to have your stats pos on the usenet and be usedas an example to otheand look, here you are!!! Should Jordan have acousin that marries me, great, but if Marcia marries me and then Jordan'scousin marries Marcia and me, then any and all of that cousin's siblinks aregoink to win themselves a shiny new Cadillac. Or if Bethany Guenther marriesme, same deal. Or if Melinda Jarocki sleeps with me and Jordan's cousinmarries me, then any and all of that cousin's siblinks are goink to winthemselves used Pontiacs (it's all included in my suit against youcompassionless God-damned turds).259 Bethany 28 10 76 302/64 7193Bethany 75 Ruth 67 Acevedo-Kabatoff 55-62249 Marcia 6 8 80 219/147 8571Marcia 45 Veronica 87 Acevedo-Kabatoff 55-62 Anyway, I have Scripture to support taking seven brides (Isaiah 4:1) andI have Scripture to support sleeping with Melinda Jarocki outside of wedlock(First Kings 1:1-5), while you people have a vast multitude of Scripturescondemning your decora trees, phallic-capped churches and your violenceagainst me for daring to point out your pagan traditions. Good luck and mayGod bless you!!!Daryl Shawn KabatoffBox 7134Saskatoon SaskatchewanCanadaS7K 4J1Isaiah 45:4, Ephesians 3:15 - God gives you your name!!!Deaths (01/20/04)WISSER _ Jordan Alexander, age 12, passed away accidentally on Saturday,survived by his loving parents, Kerry and Sally and by his big brother Joeland big sister Laura. He is also dearly loved by his extended families:Grandma Doreen Wisser; Kevin and Carol Wisser and children Josh, Callie, andLannie; Karen and John Bosker and children Brock and Brent; Kristine andTony Goulding and children Adree and Farren. Grandma Katie Smith; John andCarol Smith and children Candice (Gary) Augustyn and Ryan; Brian Smith andMike, and by his Doucie-dog Kate. Jordan was pre-deceased by his twoGrandpas, George Wisser and George Smith. Jordan will be missed by his Grade7 class at James L. Alexander School, his teachers and many friends. Jordanhad a love for the outdooenjoying many family trips to our cottage atWaden Bay. He loved to camp and looked so forward to his Winter Camp nextweekend with the 69th Boy Scout Troop. He loved Nintendo and playing boardgames, especially when we were together as a family at the lake. Jordan alsoenjoyed going to the rink with his buddies to play scrimmage. Jordan was aunique individual and a generous, caring person, in a quiet, considerateway. Whenever we were feeling down Jordan always had a hug to make us feelbetter. He will be missed beyond words and we take some solace in knowingJordan is in heaven taking care of us now. The Funeral Service will be held(130 Kingsmere Place) with Pastor Dean Angell officiating. Cremation tofollow. Donations in Jordan's memory can be made to Scouts CanadaSaskatchewan Provincial Council (2811 Estey Drive, Saskatoon, S7J 2V8) orthe Lung Association of Saskatchewan (1231 8th Street East, Saskatoon, S7H0S5). Arrangements have been entrus to Lynn Constantinoff of === posteconsider facts>> What if you were faced with arguments over the existence of sqrt(2),> or sqrt(-1)?Imagine if as a group mathematicians had risen to protect the status> quo, and rejec sqrt(-1)?sqrt(-1), sqrt(2), and a host of other things we now use today at one time> were not accep by the mathematicians of the day. BUT, in math, the truth> always comes out eventually, so you have nothing to worry about. YOU might> not be able to convince anybody of anything (as indeed appears to be the> case), BUT if you are right, eventually someoe else will be able to. (oh> BTW, history shows that railing against the establishment is not a very> effective method, so your probably accomplishing even less with your rants> and fits).Comforting thought, eh?I'm expressing my frustration with liars and cheats.It seems to me that it'd be worse to just shut-up and hope, when I canexpress my opinions about these contemptible people.Besides, it's a way to blow off steam.After all, eventually, my work will *be* the === all, eventually, my work will *be* the establishment.Then why do you care what we think? Start the new === facts> I'm expressing my frustration with liars and cheats.Then, for your own sake, stay away from === ....> Integrate f(x,y) = (x^2+y^2+2)/(sqrt((x^2+y^2)(x^2+y^2+4))) dx dy> between x=-1 and 1, y=-1 and 1> ....> I know you want the answer numerically rather than analytically,> but FWIW it seems to be an elliptic integral. Changing to polar> coordinates and chopping your square into eight triangles gives> 8*((integral from 0 to pi/4)d(theta))(integral from 0 to sec(theta))dr> of the integrand> (r^2 + 2)/sqrt(r^2 + 4).> The integral with respect to r needs only elementary functions, so the> whole thing is> 4*(integral from 0 to pi/4)d(theta)> of the integrand> (sqrt(1 + 4(cos(theta))^2))/((cos(theta))^2).> The substitution t = tan(theta) then gives> 4*(integral from 0 to 1)dt> of the integrand> sqrt((5 + t^2)/(1 + t^2))> which is close to one of the standard forms of (complete?) elliptic> integral. Perhaps someome more familiar with those can take it from> there.A concise closed form for the answer is -4 i Sqrt(5) E(i Arcsinh(1), 1/5)where E denotes the incomplete elliptic integral of the second kind.[Lest there be any notational confusion, I'm using essentially the sameconventions used in .]The expression above is purely real, approximately 8.115, as === Elliptical coordinate tranformation questionI am reading Classical Mechanics by Corben & Stehle, and I am stuck on aquestion:Ch1 Q4: A possible pair of coordinates of a point with cartesiancoordinates (x,y) is furnished by the roots of the equation:x^2/(q - e1) + y^2/(q-bar - e2) = 1 (e1>e2)Show that these roots q1, q2 satisfy the inequalitiesq1 >= e1 >= q2 >= e2.Also show that the curves q1 = const form a family of confocal ellipses,that the curves q2 = const form a family of hyperbolas confocal with theellipses, and that curves of these two families form an orthogonal net.My thoughts:Now presumably, e1 and e2 are constants (doesn't say whether they arepositive constants)?Not sure how q1 and q2 relate to q and q-bar.If q1 and q2 are roots, then does this mean that setting q=q1 and q-bar=q2solves the equation? If so, and if its true that q1>=e1 and q2>=e2, then itseems to me that the equation will always furnish an ellipse?If q and q-bar are two separate coordinates, then they are not uniquelydefined by the equation? Is the equation meant to furnish a mapping of somesort?I get the feeling that there is either a typo, or I am missing what thequestion is asking....Any help === The last such collapse was May 4, when a seven-storyapartment block in Cairo collapsed, killing at least seven people.May 4th was the 124th day of the year, Bible chapter 124 is Numbers 7. Thenumber 7 is the 4th prime, we read in the 4th Commandment and in Hebrews 4that God desires that we keep the 7th day of the week (now called Saturday)as a day of rest in His honor.The first 4 primes plus the first4 non-primes add together for the36 chapters of Bible Book 4 Numbers:Primes Non-Primes 2 1 3 4 5 6 7 <-4th-> 8 -- -- 17 19The first 4 primes in primepositions add together for the36 chapters of Bible Book 4: Primes In Prime Primes Positions 1 2 2 3 <- 3 3 5 <- 5 4 7 5 11 <- 11 6 13 7 17 <- 17 -- 36Seven plus the 7th prime plus the7th non-prime adds together forthe 36 chapters of Bible Book 4,pretty as 7 is the 4th prime:Primes Non-Primes 2 1 3 4 5 6 7 8 11 9 13 10 17 <-7th-> 12 -- -- 58 50Daryl Shawn === The last such collapse was May 4, when a seven-story>apartment block in Cairo collapsed, killing at least seven people.>May 4th was the 124th day of the year, Bible chapter 124 is Numbers 7. The>number 7 is the 4th prime, we read in the 4th Commandment and in Hebrews 4>that God desires that we keep the 7th day of the week (now called Saturday)<<The following (courtesy of Waxy.org) is sort of an unofficial FAQexplaining the psychotic nonsense pos to Usenet by Shawn DarylKabatoff AKA Dar, AKA Probababbilities. And now AKA marcia andme.WARNING: Read below before even thinking about responding to thistwit.http://www.waxy.org/archive/2002/05/21/dar_kaba.shtml #000643Usenet has the tendency to provide a public forum for those who wouldnormally be scribbling in a closet. For example, take Daryl ShawnKabatoff. For the last few yeahe's methodically gatheredstatistics from various sources, ranging from local newspaperobituary pages to the food court of the Saskatoon Midtown Plaza mall.With all the raw data he's collec, he's attempting to prove dailythat our full names are in mathematical harmony with our birthdays.His rants normally focus on a single individual he's met or readabout, starting with calculations rela to their birthdate and fullnames, blending in whatever other personal information about theirfamily membespouses, birthplace, and career he's been able tozealotry, and personal torment. I've never seen anything like it.With all the prime numbeFibonacci sequences and biblicalreferences, it's like reading the notebooks of Maximillian Cohen andJohn Nash combined. Unsurprisingly, several posts unfold to reveal ahistory of painful mental illness. If you have some time, take a look.I've detailed his posting history and a several sample posts below. Usenet Posting History:January 27, 1999 to July 5, 2000 as Catsco@home.comDecember 9, 2000 to May 4, 2001 as s.kabatoff@sk.sympatico.caOct 30, 2001 to Oct 31, 2001 as kabatoff@the.link.caJanuary 20, 2002 to April 17, 2002 as s_kabatoff@hotmail.com (originalposts have been removed from Google Groups archive)April 26, 2002 to Present as dar_kabatoff@hotmail.comSelec Posts:Tessa Lynne SmithDastageer Sakhizai and Helen SmithBrett David MakiAndrew Meredith CottonKathryn Lee HippersonAmanda Dawn NewtonMona Marie EtcheverryTony Peter NusplLisa Charlene McMillanGrant Allyn Wood Comments scarier still is that saskatoon is my hometown, though not my currentresidence. and every single place he's mentioned in his posts (mostnotably nervous harold's and the roastary) were either places i'vebeen (as it's a small city of 200K) or hangouts, ie. the two placesmentioned. chances are i could email some friends back home and findout if they know of him, they (my friends that is) being of thebroadway-centred slacker ilk. myself, too, until i got out of there.eh, anyways. thought it odd to see all this. midtown mall. i ate mymeals there, whilst waiting several days in line for star wars episodeone, at the theatre across the street.pos by andy raad on May 22, 2002 06:20 PMFascinating. It's like he's trying to take chaos and bind it intowhatever rules he can find, religious, logical and otherwise. Numbersand math have a reliable pattern, something that can always be provento true or false. People and religion do not. It reminds me of DarrenAronofsky's movie Pi. It's the story of an paraniod genius who istrying to find a pattern in Pi. A group that takes interest in hiswork is convinced that the existence of Pi, a number whose existencecan be proven but no quantified, is proof of the existence of God.Kabatoff's hunt for patterns in something as random as name selectionis a way to reconcile his deeply logical thought process with hisconflicting religious views.Exactly. I probably shouldn't have, but I e-mailed Daryl yesterday,asking him if he'd be willing to create a numerological analysis forme. I also asked him if he had seen either Pi or A Beautiful Mind, andwhat he thought of them. If he replies, I'll be sure to post it.I baked many pumpkin pies for Shawn (he likes pumpkin pies). I rubbedpumpkin pie all over my breasts for him, and my breasts turned orange.I am a pumpkin for Shawn.pos by Trisha Blondie on July 24, 2002 10:41 PMUm, that's swell. So, you're in love with him?Shawn once went to a funeral for a Jehovah Witness that shot himselfand the lemon tarts were very bad, they were not only sour but wererubbery as well. Shawn said that the guy was some kind of JehovahWitness prophet, he saw in advance that the lemon tarts at his funeralwere to be very very bad, and so he shot himself. Shawn said that henever ate pumpkin pie at a funeral but would like to some day. Shawnlikes pumpkin pie and so I have been practicing to make very goodpumpkin pies.pos by Trisha Blondie on July 25, 2002 02:49 PMShawn said that the lemon tarts were sour, bitter and rubbery.I don't think this guy takes notes. I think he has Total Recall, andit has driven him insane...Oh... I almost forgot... I didnt spend thousands of dollars a daytormenting Daryl... We got a deal on tormenting that fiscal year, itonly came to about 37cents a day....Mr. Kabatoff attempts to portray himself as a victim, but in fact heis a violent predatory pedoe who is well known to his local lawenforcement. In his post to multiple newsgroups with the subjectCollecting Mail For The Coming Anti-Christ, he encourages mothers tosend him photos of their naked daughters. Mr Kabatoff explains, Ipersonally did not want photographs being mailed to (the comingAnt-Christ) that were of underage children unless the parent wassigning consent. He is banned from virtually all the shopping mallsin his community because he stalks young people and sexually harassesthem. He has an extensive arrest record which includes sexualmolestation charges. He's been hospitalized in mental institutionsabout his contact with young girls in many posts. Search newsgrouparchives for posts by him containing the word nubile. As part of hisharrassment, he provides personal details in a public forum, such asthe real names of real children, in these and other posts. About onewan her and her sister dead+or+in+my+bed&hl=en&lr=&ie=UTF-8&selm=asqm35%24tjq5j%241% 40ID-136124.news.dfncis.de&rnuHe not only curses children and prays for their death in his posts, healso enjoys attending the funerals of young people: And so, sincenubile sweeties are found in greatest abundance at the funerals ofhigh school students, then it is the funerals of high school studentsthat make the very very best funerals, especially if there is food...I stuff my face (and my pockets) with all the good food and look atall the pretty nubile sweeties and have the time of my nubile+sex&hl=en&lr=&ie=UTF-8&scoring=d&selm=LfXN8.63042% 24R53.25142039%40twister.socal.rr.com&rnum=1 Many of his posts floods and crossposts his off-topic threatening and offensivemissives to countless newsgroups. Some people HAVE problems and somefolks ARE problems. Don't dismiss Mr. Kabatoff as a harmless nut. Whenhe sends these posts to any knew of him when I was attending the University of Saskatchewan.He'd hang out in the Arts computer lab and all you'd see is screens ofnumbers racing by on his laptop. I have an original copy of hisCollecting Mail for the Coming Anti-Christ pamphlet, and have seenhim be hauled away by campus security on more than one occasion. Myfriends and I refer to him as Crazy Number Man.I've been posting to (and about) Shawn for over two years with biggaps in between. He has seen Pi and didn't like it and didn't think itresembled him at all. (Wrong, it fits him to a tee) He doesn't havetotal recall and has sta that he travels with a lap top to notateitems. Also, he uses cut n' paste a lot if you read all the waythrough his ramblings. He is anti-social as shown by his angrystatements towards those who, by his own admission, have been kind(but not kind enough) to him. Still, he's intelligent and seems to beable to take a joke on occassion. That's where I came in. ALOHAReply to group(Unsolici e-mail is dele from the server unread if it comes from anyone not already === Clifton McCamon - December 8th 1957M c C A M O N13 3 3 1 13 15 14 = 62 I went to Timothy's on 21st Street where Bethany Guenther and MelindaJarocki work, sat at the counter with Larry, and here he provided stats.62+ Dad 29 12 /262+ Mom 15 12 /1662+ Siblink62+ Siblink62+ Siblink215 Larry 8 12 57 342/23 294Larry 74 Clifton 79 McCamon 62Primes Non-Primes Fibonacci Lucas 2 1 0 1 3 4 1 3 5 6 1 4 7 8 2 7 11 9 3 11 13 10 5 18 17 12 8 29 19 14 13 47 23 15 21 76 29 16 34 123 31 18 55 199 37 <-12th-> 20 <-12th-> 89 <-12th-> 322 --- --- --- --- 197 133 232 840 Both parents were born in the 12th month and Larry too was born in the12th month. Dad and Larry were born on days of the month adding to 37 (12thprime). Larry's name begins with the 12th letter of the alphabet. His firstand last names differ in value by 12. His last name adds to 62 (Exodus 12).His day and month of birth adds to 20 (12th non-prime). Dad and Larry weretogether born with 25 days remaining in their years (the number of chaptersin Bible Book 12). The parents generally have their birthdays on days of theyear adding to 712, it's a multiple of 89 (12th Fibonacci). Note that BibleBook 12 (the 7th non-prime) contains 719 verses (the 128th or the 2 to the7th prime).Non-Primes 1 27 50 4 28 51 6 30 52 8 32 54 9 33 5510 34 5612 35 5714 36 5815 38 6016 39 62 <-44th18 40 6320 42 6421 44 6522 45 6624 46 6825 48 6926 49 70 McCamon adds to 62 (44th non-prime). The McCamon (44th non-prime) parentswere born on days of the month adding to 44. Larry McCamon (44th non-prime)was born 344 days after dad's birthday. Larry is the 4th of 4 kids, he isthe 6th of 6 family membeBible Book 6 chapter 6 is chapter 193 (44thprime).Primes 2 61 149 3 67 151 5 71 157 7 73 16311 79 16713 83 17317 89 17919 97 18123 101 19129 103 193 <-44th31 107 19737 109 19941 113 21143 127 22347 131 22753 137 22959 139 233 MacCamon adds to 62, Larry's 215 valued name is 62% of his 342nd day ofbirth. The MacCamon (62) family is a family of 6, pretty as New TestamentBook 6 terminates at chapter 1062, it is 666 plus 6x66 is a combination ofthe 658 verses of Bible Book 6 plus the 404 verses of Bible Book 66.1-50 - Genesis51-90 - Exodus91-117 - Leviticus118-153 - Numbers154-187 - Deuteronomy188-211 - Joshua930-957 - Matthew958-973 - Mark974-997 - Luke998-1018 - John1019-1046 - Acts1047-1062 - Romans 188 <-the opening chapter of Book 6 is 6x6x6 short of the 404 verses of Bible Book 66, it is the 6th prime squared (13x13) short of the 357 verses of Daniel (also in part about 666) 193 <-Book 6 chapter 6 is the 44th prime, while 44 is in turn 66.666...% of 66 211 <-the terminating chapter of Book 6 is approximately 66.6% of the 66th prime (317) 357 <-the opening chapter of Book 6 plus the 6th prime squared is the 357 verses of Daniel (in part about 666) 404 <-the 6th prime squared (13x13) plus the 6th prime squared (13x13) plus 66 adds to the 404 verses of Bible Book 661062 <-666 plus 6x66 is a combination of the 658 verses of Bible Book 6 plus the 404 verses of Bible Book 66, and is the terminating chapter of New Testament Book 61070 <-666 plus the 404 verses of Book 66 is the 1070 verses of Job (Book 6+6+6)1213 <-Exodus terminates at chapter 90 (66th non- prime) with 1213 verses (the 198th or the 66+66+66th prime)1292 <-the 658 verses of Book 6 plus twice the 66th prime (317) is the 1292 verses of Isaiah (the Book contains 66 chapters)Daniel is the 6th in a sequential set of Books that together contain 4973verses (the 666th prime), pretty as Daniel is in part about 666:22 Song 11723 Isaiah 129224 Jeremiah 136425 Lamentations 15426 Ezekiel 127327 Daniel 357 <-the 6th in the set28 Hosea 19729 Joel 7330 Amos 146 ---- 4973 <- the 666th prime Larry is the 6th of 6 family members. His 6 vowels add to 66. The 10 (6thnon-prime) different letters in his given names add to 123 (Numbers 6). Hehas an average of 6 letters in his given names. His birthday was 360 (6x60)days ago (goink full circle). He was born in 57, pretty as Daniel and Book66 Revelation are the major Books of end-times prophecy, both are in partabout 666, Daniel contains 357 verses while Revelation contains 404 verses,or 57 plus the 57th prime (269) plus the 57th non-prime (78) verses, orsimply 57+57p+57np verses.389 <-77th prime104 <-77th non-prime 77 <-77---570 The Four 57'sGenesis 41 -> 41Leviticus 14 -> 104Judges 9 -> 220 <-I dreamt of 220 roofs blownJohn 11 -> 1008 off homes in the Dakotas ---- 1373 <-220th primeChapter 57 is Exodus 7 with 25 verses Book 57 is emon with 25 verses -- -- 41st non-prime 16th non-prime <-together for 57->Major Books of End-Times Prophecy (Daniel and Revelation are in part about666 while Isaiah contains 66 chapters):Daniel - 357 versesRevelation - 404 verses <-57 plus the 57th prime plus the 57th non-primeIsaiah - 1292 verses <-an average of 19.575757... verses per chapter In leap years (years containing 366 days), the parents have theirbirthdays on days of the year averaging the 357 verses of Daniel. Theparents generally have their birthdays on days 363 and 349, together theseBible chapters contain 78 verses (57th non-prime). Larry was born a multipleof 57 days into 57. His 342 (6x57th) day of birth adds with his 215 valuedname for 557. His even valued letters add to 114 (57+57). See how pretty itis that Genesis 41 would contain 57 verses, for 57 is the 41st non-prime.Larry and is parents were together born with 41 days remaining in theiryears (57 is the 41st non-prime). In 1988 I tried telling people that Godwas emphasizing Genesis 41 and said that He desires us to build up foodsupplies in anticipation of a period of adversity, but people used myinterest in mathematics as one of the reasons to have me arres andtortured in psychiatric facilities, the railways sold the tracks and landand used the money to buy lucrative hotels, the government fined farmers forfailure to deliver grain to port fast enough, and then they erec a statueof Gandhi with his back turned to the facilities where they had Hindustorture me, and now I pray for massive crop failures... for the loss ofcrops, forests, houses, children. And while I begged in vain for assistanceto get away from my persecutothe only assistance I get is to be brutallyassaul and frequently libeled and told by you pieces of crap that Ishould rejoice in my sufferings while you reward my work on your names byblowing smoke at me, and then you fly off to some place warm and leave me inutter poverty (and in shock). McCamon begins with the 13th letter of the alphabet and adds to 62, it'sthe 13th prime (41) plus the 13th non-prime (21). Bible Book 13 opens with54 verses, or 13 plus the 13th prime (41), while Bible Book 54 contains 113verses. Larry and his parents generally have their birthdays on days of theyear adding to 1054, with 41 days remaining in their years (13th prime),it's 1013 days closer to the the end of their years than to the beginning oftheir years. Chapter 1013 is New Testament chapter 84 (the first 13 primesminus the first 13 non-primes). Larry's middle name adds to 79 (Psalm 79 isthe 13th chapter to contain the length of 13 verses). The consonants in hisgiven names add to 103 (Leviticus 13). All 13 of his consonants are inpositions adding to 130 (Numbers 13). His 11 different letters add to 136and his common name adds to 136.Primes Non-Primes Fibonacci Lucas 2 1 0 1 3 4 1 3 5 6 1 4 7 8 2 7 11 9 3 11 13 10 5 18 17 12 8 29 19 14 13 47 23 15 21 76 29 16 34 123 31 18 55 199 37 20 89 322 41 <-13th-> 21 <-13th-> 144 <-13th-> 521 --- --- 238 154 <-Lamentations Larry was born 93% into the year, his first name adds to 93% of hismiddle name. The parents generally together have their birthdays 694 dayscloser to the end of their years than to the beginning of their yeait'sthe number of verses in The Corinthians (Bible Books 46 and 47, together for93).46 - First Corinthians - 437 verses47 - Second Corinthians - 257 verses-- ---93 694 17 is the 7th prime while the primes up to 7 add to 17. There are 7primes in prime positions up to the 17th prime (59) and they add to the 167verses of Bible Book 17. Esther becomes Queen in Book 17 and Q is the 17thletter of the alphabet. Psalm 59 (the 17th prime) not only contains 17verses, it is the 17th chapter in the Bible to contain the length of 17verses. James is Book 59 (the 17th prime), it's 108 verses is the 17th primeshort of the 167 verses of Book 17. Primes In Prime Primes Positions 1 2 2 3 <- 3 3 5 <- 5 4 7 <-17 is the 7th prime 5 11 <- 11 while the primes up 6 13 to 7 add to 17 7 17 <- 17 8 19 9 2310 2911 31 <- 3112 3713 41 <- 4114 4315 4716 5317 59 <- 59 <-the 7th prime in --- prime position 167 Esther Book 17 <-the 7th prime Larry's first two names add together for 153 (1 through 17 and is the117th non-prime, it's the terminating chapter of Numbers and is the numberof fish in the net in John 21). His last two names differ in value by 17.The parents and Larry were born on days 29, 15 and 8, together these BibleBooks contain 17 chapters.Primes Non-Primes 2 1 3 4 5 6 7 8 11 9 13 10 17 12 19 14 23 15 29 16 31 18 37 20 41 21 43 22 47 24 53 25 59 <-17th-> 26 --- --- 440 251 Leviticus begins with 17 verses and terminates at chapter 117 with 17+17verses. There are 17 verses at chapters 1 and 3, and 59 (the 17 prime)verses at chapter 13, so the 17's and the 17th prime are at chapter numbersadding to 17 (1+3+13=17). The first 17 versed chapters in the Bible are atchapters 91 and 93, together for 184, or the 167 verses of Book 17 plus 17more. Leviticus contains 859 verses, it ends in 59 (the 17th prime). Thefirst 17's in the Bible surround chapter 92 (the 4x17th non-prime):Leviticus--------- 91 1 17 92 2 <-68th (4x17th) non-prime 93 3 17 94 4 95 5 96 6 97 7 98 8 99 9100 10101 11102 12103 13 59 <-17th prime104 14105 15106 16107 17108 18109 19110 20111 21112 22113 23114 24115 25116 26117 27 34 <-17+17 Larry was born a multiple of 19 days into 57 (19+19+19). He was born 319days closer to the end of the year than to the beginning of the year. He has19 letters. His day, month and year of birth adds to 77 (the primes up to19). His first and last names add together for 136 (Numbers 19). His 11different letters add to 136 (Numbers 19). His even valued letters add to114, it is 6x19 and is 19 plus the 19th prime (67) plus the 19th non-prime(28), or simply 19+19p+19np. His names add to the 53rd non-prime, to the22nd prime and to the 44th non-prime, together for 119. His first name addsto 119.35% of his last name. His first 3 letters add to 19. Larry was born1.9 years after his parent's birthdays. The parents were born on days 29 and15, these are the 10th prime and the 9th non-prime, together for 19. Larry's 342 day of birth adds with his 215 valued name for 557 (Psalm79). His middle name adds to 79. His unrepresen letters exceed hisrepresen letters by 79. Dad and Larry were born on days 29 and 8, theseBible Books contain an average of 79 verses. The parents were born on days 29 and 15, together these Bible Bookscontain 353 verses. Larry's given names add together for 153. In Larry'sgiven names, his consonants exceed his vowels by 53. The last letters ofeach of his names add together for 53. His initials and middle letters addtogether for 53. His primes, squares and cubes together add with theirpositions for 153. Mom and Larry were born on days 15 and 8, the latter is53.333...% of the former. There are 53 verses in Bible Book 36 while Larryand his parents were born in months adding to 36.The first 4 primes plus the first4 non-primes add together for the36 chapters of Bible Book 4 Numbers:Primes Non-Primes 2 1 3 4 5 6 7 <-4th-> 8 -- -- 17 19The first 4 primes in primepositions add together for the36 chapters of Bible Book 4: Primes In Prime Primes Positions 1 2 2 3 <- 3 3 5 <- 5 4 7 5 11 <- 11 6 13 7 17 <- 17 -- 36Seven plus the 7th prime plus the7th non-prime adds together forthe 36 chapters of Bible Book 4,pretty as 7 is the 4th prime:Primes Non-Primes 2 1 3 4 5 6 7 8 11 9 13 10 17 <-7th-> 12 -- -- 58 50 Larry is the 4th of 4 kids, he was born on the 8th (4+4 and is the 4thnon-prime, Bible Book 8 contains 4 chapters) day of the 12th (4+4+4th)month. He was born on the 342nd day of the year (First Chronicles 4). Hisgiven names add together for 153 (the terminating chapter of Bible Book 4).His name begins with the 12th (4+4+4th) letter of the alphabet. His initialsadd to 28 (4 times the 4th prime). His last name adds to 62 (44thnon-prime). His full name adds to 215 (Judges 4). His first 4 letters add to49 (the 4th prime squared). The parents were born on days of the monthadding to 44. Larry and his parents were born in months adding to 36 (9x4),pretty as there are 36 chapters in Bible Books 4 and 14.Primes Non-Primes 2 1 3 4 5 6 7 <-4th-> 8 <-Bible Book 8 contains 11 4 chaptepretty as 13 8 is the 4th non-prime 17 19 -- 77 <-the first 8 primes plus 8 more adds to the 85 verses of Bible Book 8 Larry was born 695 months and 8 days into the century, there are 695verses in Second Samuel, Bible Book 10, pretty as the first 10 non-primesadd to 95. The 10 different letters in his given names add to 123 (10thLucas). Bible Book 10 brings The Samuels up to 1505 verses and 55 chapters,pretty as 1 through 10 adds to 55. The Old Testament terminates at BibleBook 39 with 55 verses (39th non-prime).Primes Non-Primes Lucas Numbers 2 1 1 1 3 4 3 2 5 6 4 3 7 8 7 4 11 9 11 5 13 10 18 6 17 12 29 7 19 14 47 8 23 15 76 9 29 <-10th-> 16 <-10th-> 123 <-10th-> 10 --- --- --- --- 129 95 319 55187 Dar 17 2 57 48/317 00Daryl 60 Shawn 65 Kabatoff 62240 Bethany 28 10 76 302/64 7193Bethany 75 Ruth 67 Guenther 98187 Marcia 6 8 80 219/147 8571Marcia 45 Veronica 87 Acevedo 55288 Melinda 23 3 83 82/283 9530Melinda 58 Janelle 59 Elaine 46 Joyce 58 Jarocki 67 Anyway, if you people think that you have the right to use my abusiveparents as tools and arrest and torture me, then I think that I should havethe right to ask women to marry me, or to marry Marcia and me, our lastnames add together for the 117 verses of Song of Solomon, it's the Bible'sBook of Love. The nubile sweety was born on the 6th and has a 6 letteredfirst name). Isaiah is the Book with 66 chaptepretty as it is Book 23,or the 6th prime plus the 6th non-prime (13+10=23). Isaiah 4, 12 and 20(adds to 6x6) each contains 6 verses. Isaiah 4:1 is about Marcia (and me),and 6 other women who are capable of feeling shame rather than pride, greedor lust, or who limit their love for traditions and for people who abide bytheir traditions. You people have Egyptian penises on the roofs of yourchurches and lined city streets with representations of penises, and had metortured for years for saying so, others just sat back in silence while theywere doing this to me, and similarly you remain silent and compassionlessnow that the arrests and torture have ceased. You people spent millions ofdollars having me tortured, and then annually you spend billions on yourdecora trees, I begged and begged for assistance to flee the country(they tortured me for years at the U of S) and you people are so cheap thatyou can't even offer to buy me a cookie when I bust my butt to show youevidence that your very name is a gift from God!!! Should Larry have acousin that marries me, great, but if Marcia marries me and then Larry'scousin marries Marcia and me, then Larry is goink to win himself a shiny newCadillac!!! Or if Bethany Guenther marries me, or marries Marcia and me,then Larry will similarly win himself a shiny new Cadillac!!! Or if MelindaJarocki sleeps with me, then Larry will win himself a used Pontiac!!!259 Bethany 28 10 76 302/64 7193Bethany 75 Ruth 67 Acevedo-Kabatoff 55-62249 Marcia 6 8 80 219/147 8571Marcia 45 Veronica 87 Acevedo-Kabatoff 55-62 Anyway, I have Scripture to support taking seven brides (Isaiah 4:1) andI have Scripture to support sleeping with Melinda Jarocki outside of wedlock(First Kings 1:1-5), while you people have a vast multitude of Scripturescondemning your decora trees, phallic-capped churches and your violenceagainst me for daring to point out your pagan traditions. Good luck and mayGod bless you!!! , you trea me with such brutality and annuallyspend billions of dollars on turning trees into decora idols, I lostsummer after summer after summer to psychiatric torture and there isn't asingle one of you that has enough compassion for me to assist me to get awayfor one single winter, indeed, you don't have enough compassion to offer tobuy me a measly cookie (and that's after I show you gems, evidence that yourvery name is a gift from God). .Daryl Shawn KabatoffBox 7134Saskatoon SaskatchewanCanadaS7K 4J1Isaiah 45:4, Ephesians === 3 1 13 15 14 = 62> I went to Timothy's on 21st Street where Bethany Guenther and Melinda<<The following (courtesy of Waxy.org) is sort of an unofficial FAQexplaining the psychotic nonsense pos to Usenet by Shawn DarylKabatoff AKA Dar, AKA Probababbilities. And now AKA marcia andme.WARNING: Read below before even thinking about responding to thistwit.http://www.waxy.org/archive/2002/05/21/dar_kaba.shtml #000643Usenet has the tendency to provide a public forum for those who wouldnormally be scribbling in a closet. For example, take Daryl ShawnKabatoff. For the last few yeahe's methodically gatheredstatistics from various sources, ranging from local newspaperobituary pages to the food court of the Saskatoon Midtown Plaza mall.With all the raw data he's collec, he's attempting to prove dailythat our full names are in mathematical harmony with our birthdays.His rants normally focus on a single individual he's met or readabout, starting with calculations rela to their birthdate and fullnames, blending in whatever other personal information about theirfamily membespouses, birthplace, and career he's been able tozealotry, and personal torment. I've never seen anything like it.With all the prime numbeFibonacci sequences and biblicalreferences, it's like reading the notebooks of Maximillian Cohen andJohn Nash combined. Unsurprisingly, several posts unfold to reveal ahistory of painful mental illness. If you have some time, take a look.I've detailed his posting history and a several sample posts below. Usenet Posting History:January 27, 1999 to July 5, 2000 as Catsco@home.comDecember 9, 2000 to May 4, 2001 as s.kabatoff@sk.sympatico.caOct 30, 2001 to Oct 31, 2001 as kabatoff@the.link.caJanuary 20, 2002 to April 17, 2002 as s_kabatoff@hotmail.com (originalposts have been removed from Google Groups archive)April 26, 2002 to Present as dar_kabatoff@hotmail.comSelec Posts:Tessa Lynne SmithDastageer Sakhizai and Helen SmithBrett David MakiAndrew Meredith CottonKathryn Lee HippersonAmanda Dawn NewtonMona Marie EtcheverryTony Peter NusplLisa Charlene McMillanGrant Allyn Wood Comments scarier still is that saskatoon is my hometown, though not my currentresidence. and every single place he's mentioned in his posts (mostnotably nervous harold's and the roastary) were either places i'vebeen (as it's a small city of 200K) or hangouts, ie. the two placesmentioned. chances are i could email some friends back home and findout if they know of him, they (my friends that is) being of thebroadway-centred slacker ilk. myself, too, until i got out of there.eh, anyways. thought it odd to see all this. midtown mall. i ate mymeals there, whilst waiting several days in line for star wars episodeone, at the theatre across the street.pos by andy raad on May 22, 2002 06:20 PMFascinating. It's like he's trying to take chaos and bind it intowhatever rules he can find, religious, logical and otherwise. Numbersand math have a reliable pattern, something that can always be provento true or false. People and religion do not. It reminds me of DarrenAronofsky's movie Pi. It's the story of an paraniod genius who istrying to find a pattern in Pi. A group that takes interest in hiswork is convinced that the existence of Pi, a number whose existencecan be proven but no quantified, is proof of the existence of God.Kabatoff's hunt for patterns in something as random as name selectionis a way to reconcile his deeply logical thought process with hisconflicting religious views.Exactly. I probably shouldn't have, but I e-mailed Daryl yesterday,asking him if he'd be willing to create a numerological analysis forme. I also asked him if he had seen either Pi or A Beautiful Mind, andwhat he thought of them. If he replies, I'll be sure to post it.I baked many pumpkin pies for Shawn (he likes pumpkin pies). I rubbedpumpkin pie all over my breasts for him, and my breasts turned orange.I am a pumpkin for Shawn.pos by Trisha Blondie on July 24, 2002 10:41 PMUm, that's swell. So, you're in love with him?Shawn once went to a funeral for a Jehovah Witness that shot himselfand the lemon tarts were very bad, they were not only sour but wererubbery as well. Shawn said that the guy was some kind of JehovahWitness prophet, he saw in advance that the lemon tarts at his funeralwere to be very very bad, and so he shot himself. Shawn said that henever ate pumpkin pie at a funeral but would like to some day. Shawnlikes pumpkin pie and so I have been practicing to make very goodpumpkin pies.pos by Trisha Blondie on July 25, 2002 02:49 PMShawn said that the lemon tarts were sour, bitter and rubbery.I don't think this guy takes notes. I think he has Total Recall, andit has driven him insane...Oh... I almost forgot... I didnt spend thousands of dollars a daytormenting Daryl... We got a deal on tormenting that fiscal year, itonly came to about 37cents a day....Mr. Kabatoff attempts to portray himself as a victim, but in fact heis a violent predatory pedoe who is well known to his local lawenforcement. In his post to multiple newsgroups with the subjectCollecting Mail For The Coming Anti-Christ, he encourages mothers tosend him photos of their naked daughters. Mr Kabatoff explains, Ipersonally did not want photographs being mailed to (the comingAnt-Christ) that were of underage children unless the parent wassigning consent. He is banned from virtually all the shopping mallsin his community because he stalks young people and sexually harassesthem. He has an extensive arrest record which includes sexualmolestation charges. He's been hospitalized in mental institutionsabout his contact with young girls in many posts. Search newsgrouparchives for posts by him containing the word nubile. As part of hisharrassment, he provides personal details in a public forum, such asthe real names of real children, in these and other posts. About onewan her and her sister dead+or+in+my+bed&hl=en&lr=&ie=UTF-8&selm=asqm35%24tjq5j%241% 40ID-136124.news.dfncis.de&rnuHe not only curses children and prays for their death in his posts, healso enjoys attending the funerals of young people: And so, sincenubile sweeties are found in greatest abundance at the funerals ofhigh school students, then it is the funerals of high school studentsthat make the very very best funerals, especially if there is food...I stuff my face (and my pockets) with all the good food and look atall the pretty nubile sweeties and have the time of my nubile+sex&hl=en&lr=&ie=UTF-8&scoring=d&selm=LfXN8.63042% 24R53.25142039%40twister.socal.rr.com&rnum=1 Many of his posts floods and crossposts his off-topic threatening and offensivemissives to countless newsgroups. Some people HAVE problems and somefolks ARE problems. Don't dismiss Mr. Kabatoff as a harmless nut. Whenhe sends these posts to any knew of him when I was attending the University of Saskatchewan.He'd hang out in the Arts computer lab and all you'd see is screens ofnumbers racing by on his laptop. I have an original copy of hisCollecting Mail for the Coming Anti-Christ pamphlet, and have seenhim be hauled away by campus security on more than one occasion. Myfriends and I refer to him as Crazy Number Man.I've been posting to (and about) Shawn for over two years with biggaps in between. He has seen Pi and didn't like it and didn't think itresembled him at all. (Wrong, it fits him to a tee) He doesn't havetotal recall and has sta that he travels with a lap top to notateitems. Also, he uses cut n' paste a lot if you read all the waythrough his ramblings. He is anti-social as shown by his angrystatements towards those who, by his own admission, have been kind(but not kind enough) to him. Still, he's intelligent and seems to beable to take a joke on occassion. That's where I came in. ALOHAReply to group(Unsolici e-mail is dele from the server unread if it comes from anyone not already === Clifton McCamon - December 8th 1957M c C A M O N13 3 3 1 13 15 14 = 62 I went to Timothy's on 21st Street where Bethany Guenther and MelindaJarocki work, sat at the counter with Larry, and here he provided stats.62+ Dad 29 12 /262+ Mom 15 12 /1662+ Siblink62+ Siblink62+ Siblink215 Larry 8 12 57 342/23 294Larry 74 Clifton 79 McCamon 62Primes Non-Primes Fibonacci Lucas 2 1 0 1 3 4 1 3 5 6 1 4 7 8 2 7 11 9 3 11 13 10 5 18 17 12 8 29 19 14 13 47 23 15 21 76 29 16 34 123 31 18 55 199 37 <-12th-> 20 <-12th-> 89 <-12th-> 322 --- --- --- --- 197 133 232 840 Both parents were born in the 12th month and Larry too was born in the12th month. Dad and Larry were born on days of the month adding to 37 (12thprime). Larry's name begins with the 12th letter of the alphabet. His firstand last names differ in value by 12. His last name adds to 62 (Exodus 12).His day and month of birth adds to 20 (12th non-prime). Dad and Larry weretogether born with 25 days remaining in their years (the number of chaptersin Bible Book 12). The parents generally have their birthdays on days of theyear adding to 712, it's a multiple of 89 (12th Fibonacci). Note that BibleBook 12 (the 7th non-prime) contains 719 verses (the 128th or the 2 to the7th prime).Non-Primes 1 27 50 4 28 51 6 30 52 8 32 54 9 33 5510 34 5612 35 5714 36 5815 38 6016 39 62 <-44th18 40 6320 42 6421 44 6522 45 6624 46 6825 48 6926 49 70 McCamon adds to 62 (44th non-prime). The McCamon (44th non-prime) parentswere born on days of the month adding to 44. Larry McCamon (44th non-prime)was born 344 days after dad's birthday. Larry is the 4th of 4 kids, he isthe 6th of 6 family membeBible Book 6 chapter 6 is chapter 193 (44thprime).Primes 2 61 149 3 67 151 5 71 157 7 73 16311 79 16713 83 17317 89 17919 97 18123 101 19129 103 193 <-44th31 107 19737 109 19941 113 21143 127 22347 131 22753 137 22959 139 233 MacCamon adds to 62, Larry's 215 valued name is 62% of his 342nd day ofbirth. The MacCamon (62) family is a family of 6, pretty as New TestamentBook 6 terminates at chapter 1062, it is 666 plus 6x66 is a combination ofthe 658 verses of Bible Book 6 plus the 404 verses of Bible Book 66.1-50 - Genesis51-90 - Exodus91-117 - Leviticus118-153 - Numbers154-187 - Deuteronomy188-211 - Joshua930-957 - Matthew958-973 - Mark974-997 - Luke998-1018 - John1019-1046 - Acts1047-1062 - Romans 188 <-the opening chapter of Book 6 is 6x6x6 short of the 404 verses of Bible Book 66, it is the 6th prime squared (13x13) short of the 357 verses of Daniel (also in part about 666) 193 <-Book 6 chapter 6 is the 44th prime, while 44 is in turn 66.666...% of 66 211 <-the terminating chapter of Book 6 is approximately 66.6% of the 66th prime (317) 357 <-the opening chapter of Book 6 plus the 6th prime squared is the 357 verses of Daniel (in part about 666) 404 <-the 6th prime squared (13x13) plus the 6th prime squared (13x13) plus 66 adds to the 404 verses of Bible Book 661062 <-666 plus 6x66 is a combination of the 658 verses of Bible Book 6 plus the 404 verses of Bible Book 66, and is the terminating chapter of New Testament Book 61070 <-666 plus the 404 verses of Book 66 is the 1070 verses of Job (Book 6+6+6)1213 <-Exodus terminates at chapter 90 (66th non- prime) with 1213 verses (the 198th or the 66+66+66th prime)1292 <-the 658 verses of Book 6 plus twice the 66th prime (317) is the 1292 verses of Isaiah (the Book contains 66 chapters)Daniel is the 6th in a sequential set of Books that together contain 4973verses (the 666th prime), pretty as Daniel is in part about 666:22 Song 11723 Isaiah 129224 Jeremiah 136425 Lamentations 15426 Ezekiel 127327 Daniel 357 <-the 6th in the set28 Hosea 19729 Joel 7330 Amos 146 ---- 4973 <- the 666th prime Larry is the 6th of 6 family members. His 6 vowels add to 66. The 10 (6thnon-prime) different letters in his given names add to 123 (Numbers 6). Hehas an average of 6 letters in his given names. His birthday was 360 (6x60)days ago (goink full circle). His dad was born on the 29th, there are 29chapters in Bible Book 13 (6th prime) and 29 verses in chapter 666, prettyas 29 is a combination of 6 plus the 6th prime (13) plus the 6th non-prime(10). He was born in 57, pretty as Daniel and Book 66 Revelation are themajor Books of end-times prophecy, both are in part about 666, Danielcontains 357 verses while Revelation contains 404 verses, or 57 plus the57th prime (269) plus the 57th non-prime (78) verses, or simply 57+57p+57npverses.389 <-77th prime104 <-77th non-prime 77 <-77---570 The Four 57'sGenesis 41 -> 41Leviticus 14 -> 104Judges 9 -> 220 <-I dreamt of 220 roofs blownJohn 11 -> 1008 off homes in the Dakotas ---- 1373 <-220th primeChapter 57 is Exodus 7 with 25 verses Book 57 is emon with 25 verses -- -- 41st non-prime 16th non-prime <-together for 57->Major Books of End-Times Prophecy (Daniel and Revelation are in part about666 while Isaiah contains 66 chapters):Daniel - 357 versesRevelation - 404 verses <-57 plus the 57th prime plus the 57th non-primeIsaiah - 1292 verses <-an average of 19.575757... verses per chapter In leap years (years containing 366 days), the parents have theirbirthdays on days of the year averaging the 357 verses of Daniel. Theparents generally have their birthdays on days 363 and 349, together theseBible chapters contain 78 verses (57th non-prime). Larry was born a multipleof 57 days into 57. His 342 (6x57th) day of birth adds with his 215 valuedname for 557. His even valued letters add to 114 (57+57). See how pretty itis that Genesis 41 would contain 57 verses, for 57 is the 41st non-prime.Larry and is parents were together born with 41 days remaining in theiryears (57 is the 41st non-prime). In 1988 I tried telling people that Godwas emphasizing Genesis 41 and said that He desires us to build up foodsupplies in anticipation of a period of adversity, but people used myinterest in mathematics as one of the reasons to have me arres andtortured in psychiatric facilities, the railways sold the tracks and landand used the money to buy lucrative hotels, the government fined farmers forfailure to deliver grain to port fast enough, and then they erec a statueof Gandhi with his back turned to the facilities where they had Hindustorture me, and now I pray for massive crop failures... for the loss ofcrops, forests, houses, children. And while I begged in vain for assistanceto get away from my persecutothe only assistance I get is to be brutallyassaul and frequently libeled and told by you pieces of crap that Ishould rejoice in my sufferings while you reward my work on your names byblowing smoke at me, and then you fly off to some place warm and leave me inutter poverty (and in shock). McCamon begins with the 13th letter of the alphabet and adds to 62, it'sthe 13th prime (41) plus the 13th non-prime (21). Bible Book 13 opens with54 verses, or 13 plus the 13th prime (41), while Bible Book 54 contains 113verses. Larry and his parents generally have their birthdays on days of theyear adding to 1054, with 41 days remaining in their years (13th prime),it's 1013 days closer to the the end of their years than to the beginning oftheir years. Chapter 1013 is New Testament chapter 84 (the first 13 primesminus the first 13 non-primes). Larry's middle name adds to 79 (Psalm 79 isthe 13th chapter to contain the length of 13 verses). The consonants in hisgiven names add to 103 (Leviticus 13). All 13 of his consonants are inpositions adding to 130 (Numbers 13). His 11 different letters add to 136and his common name adds to 136. Dad was born on the 29th (the number ofchapters in Bible Book 13).Primes Non-Primes Fibonacci Lucas 2 1 0 1 3 4 1 3 5 6 1 4 7 8 2 7 11 9 3 11 13 10 5 18 17 12 8 29 19 14 13 47 23 15 21 76 29 16 34 123 31 18 55 199 37 20 89 322 41 <-13th-> 21 <-13th-> 144 <-13th-> 521 --- --- 238 154 <-Lamentations Larry was born 93% into the year, his first name adds to 93% of hismiddle name. The unrepea letters in his given names add to 93. Theparents generally together have their birthdays 694 days closer to the endof their years than to the beginning of their yeait's the number ofverses in The Corinthians (Bible Books 46 and 47, together for 93).46 - First Corinthians - 437 verses47 - Second Corinthians - 257 verses-- ---93 694 17 is the 7th prime while the primes up to 7 add to 17. There are 7primes in prime positions up to the 17th prime (59) and they add to the 167verses of Bible Book 17. Esther becomes Queen in Book 17 and Q is the 17thletter of the alphabet. Psalm 59 (the 17th prime) not only contains 17verses, it is the 17th chapter in the Bible to contain the length of 17verses. James is Book 59 (the 17th prime), it's 108 verses is the 17th primeshort of the 167 verses of Book 17. Primes In Prime Primes Positions 1 2 2 3 <- 3 3 5 <- 5 4 7 <-17 is the 7th prime 5 11 <- 11 while the primes up 6 13 to 7 add to 17 7 17 <- 17 8 19 9 2310 2911 31 <- 3112 3713 41 <- 4114 4315 4716 5317 59 <- 59 <-the 7th prime in --- prime position 167 Esther Book 17 <-the 7th prime Larry's first two names add together for 153 (1 through 17 and is the117th non-prime, it's the terminating chapter of Numbers and is the numberof fish in the net in John 21). His last two names differ in value by 17.The parents and Larry were born on days 29, 15 and 8, together these BibleBooks contain 17 chapters.Primes Non-Primes 2 1 3 4 5 6 7 8 11 9 13 10 17 12 19 14 23 15 29 16 31 18 37 20 41 21 43 22 47 24 53 25 59 <-17th-> 26 --- --- 440 251 Leviticus begins with 17 verses and terminates at chapter 117 with 17+17verses. There are 17 verses at chapters 1 and 3, and 59 (the 17 prime)verses at chapter 13, so the 17's and the 17th prime are at chapter numbersadding to 17 (1+3+13=17). The first 17 versed chapters in the Bible are atchapters 91 and 93, together for 184, or the 167 verses of Book 17 plus 17more. Leviticus contains 859 verses, it ends in 59 (the 17th prime). Thefirst 17's in the Bible surround chapter 92 (the 4x17th non-prime):Leviticus--------- 91 1 17 92 2 <-68th (4x17th) non-prime 93 3 17 94 4 95 5 96 6 97 7 98 8 99 9100 10101 11102 12103 13 59 <-17th prime104 14105 15106 16107 17108 18109 19110 20111 21112 22113 23114 24115 25116 26117 27 34 <-17+17 Larry was born a multiple of 19 days into 57 (19+19+19). He was born 319days closer to the end of the year than to the beginning of the year. He has19 letters. His day, month and year of birth adds to 77 (the primes up to19). His first and last names add together for 136 (Numbers 19). His 11different letters add to 136 (Numbers 19). His even valued letters add to114, it is 6x19 and is 19 plus the 19th prime (67) plus the 19th non-prime(28), or simply 19+19p+19np. His names add to the 53rd non-prime, to the22nd prime and to the 44th non-prime, together for 119. His first name addsto 119.35% of his last name. His first 3 letters add to 19. Larry was born1.9 years after his parent's birthdays. The parents were born on days 29 and15, these are the 10th prime and the 9th non-prime, together for 19. Larry's 342 day of birth adds with his 215 valued name for 557 (Psalm79). His middle name adds to 79. His unrepresen letters exceed hisrepresen letters by 79. Dad and Larry were born on days 29 and 8, theseBible Books contain an average of 79 verses. The parents were born on days 29 and 15, together these Bible Bookscontain 353 verses. Larry's given names add together for 153. In Larry'sgiven names, his consonants exceed his vowels by 53. The last letters ofeach of his names add together for 53. His initials and middle letters addtogether for 53. His primes, squares and cubes together add with theirpositions for 153. Mom and Larry were born on days 15 and 8, the latter is53.333...% of the former. There are 53 verses in Bible Book 36 while Larryand his parents were born in months adding to 36.The first 4 primes plus the first4 non-primes add together for the36 chapters of Bible Book 4 Numbers:Primes Non-Primes 2 1 3 4 5 6 7 <-4th-> 8 -- -- 17 19The first 4 primes in primepositions add together for the36 chapters of Bible Book 4: Primes In Prime Primes Positions 1 2 2 3 <- 3 3 5 <- 5 4 7 5 11 <- 11 6 13 7 17 <- 17 -- 36Seven plus the 7th prime plus the7th non-prime adds together forthe 36 chapters of Bible Book 4,pretty as 7 is the 4th prime:Primes Non-Primes 2 1 3 4 5 6 7 8 11 9 13 10 17 <-7th-> 12 -- -- 58 50 Larry is the 4th of 4 kids, he was born on the 8th (4+4 and is the 4thnon-prime, Bible Book 8 contains 4 chapters) day of the 12th (4+4+4th)month. He was born on the 342nd day of the year (First Chronicles 4). Hisgiven names add together for 153 (the terminating chapter of Bible Book 4).His name begins with the 12th (4+4+4th) letter of the alphabet. His initialsadd to 28 (4 times the 4th prime). His last name adds to 62 (44thnon-prime). His full name adds to 215 (Judges 4). His first 4 letters add to49 (the 4th prime squared). The parents were born on days of the monthadding to 44. Larry and his parents were born in months adding to 36 (9x4),pretty as there are 36 chapters in Bible Books 4 and 14.Primes Non-Primes 2 1 3 4 5 6 7 <-4th-> 8 <-Bible Book 8 contains 11 4 chaptepretty as 13 8 is the 4th non-prime 17 19 -- 77 <-the first 8 primes plus 8 more adds to the 85 verses of Bible Book 8 Larry was born 695 months and 8 days into the century, there are 695verses in Second Samuel, Bible Book 10, pretty as the first 10 non-primesadd to 95. The 10 different letters in his given names add to 123 (10thLucas). Bible Book 10 brings The Samuels up to 1505 verses and 55 chapters,pretty as 1 through 10 adds to 55. The Old Testament terminates at BibleBook 39 with 55 verses (39th non-prime).Primes Non-Primes Lucas Numbers 2 1 1 1 3 4 3 2 5 6 4 3 7 8 7 4 11 9 11 5 13 10 18 6 17 12 29 7 19 14 47 8 23 15 76 9 29 <-10th-> 16 <-10th-> 123 <-10th-> 10 --- --- --- --- 129 95 319 55187 Dar 17 2 57 48/317 00Daryl 60 Shawn 65 Kabatoff 62240 Bethany 28 10 76 302/64 7193Bethany 75 Ruth 67 Guenther 98187 Marcia 6 8 80 219/147 8571Marcia 45 Veronica 87 Acevedo 55288 Melinda 23 3 83 82/283 9530Melinda 58 Janelle 59 Elaine 46 Joyce 58 Jarocki 67 Anyway, if you people think that you have the right to use my abusiveparents as tools and arrest and torture me, then I think that I should havethe right to ask women to marry me, or to marry Marcia and me, our lastnames add together for the 117 verses of Song of Solomon, it's the Bible'sBook of Love. The nubile sweety was born on the 6th and has a 6 letteredfirst name). Isaiah is the Book with 66 chaptepretty as it is Book 23,or the 6th prime plus the 6th non-prime (13+10=23). Isaiah 4, 12 and 20(adds to 6x6) each contains 6 verses. Isaiah 4:1 is about Marcia (and me),and 6 other women who are capable of feeling shame rather than pride, greedor lust, or who limit their love for traditions and for people who abide bytheir traditions. You people have Egyptian penises on the roofs of yourchurches and lined city streets with representations of penises, and had metortured for years for saying so, others just sat back in silence while theywere doing this to me, and similarly you remain silent and compassionlessnow that the arrests and torture have ceased. You people spent millions ofdollars having me tortured, and then annually you spend billions on yourdecora trees, I begged and begged for assistance to flee the country(they tortured me for years at the U of S) and you people are so cheap thatyou can't even offer to buy me a cookie when I bust my butt to show youevidence that your very name is a gift from God!!! Should Larry have acousin that marries me, great, but if Marcia marries me and then Larry'scousin marries Marcia and me, then Larry is goink to win himself a shiny newCadillac!!! Or if Bethany Guenther marries me, or marries Marcia and me,then Larry will similarly win himself a shiny new Cadillac!!! Or if MelindaJarocki sleeps with me, then Larry will win himself a used Pontiac!!!259 Bethany 28 10 76 302/64 7193Bethany 75 Ruth 67 Acevedo-Kabatoff 55-62249 Marcia 6 8 80 219/147 8571Marcia 45 Veronica 87 Acevedo-Kabatoff 55-62 Anyway, I have Scripture to support taking seven brides (Isaiah 4:1) andI have Scripture to support sleeping with Melinda Jarocki outside of wedlock(First Kings 1:1-5), while you people have a vast multitude of Scripturescondemning your decora trees, phallic-capped churches and your violenceagainst me for daring to point out your pagan traditions. Good luck and mayGod bless you!!! , you trea me with such brutality and annuallyspend billions of dollars on turning trees into decora idols, I lostsummer after summer after summer to psychiatric torture and there isn't asingle one of you that has enough compassion for me to assist me to get awayfor one single winter, indeed, you don't have enough compassion to offer tobuy me a measly cookie (and that's after I show you gems, evidence that yourvery name is a gift from God). .Daryl Shawn KabatoffBox 7134Saskatoon SaskatchewanCanadaS7K 4J1Isaiah 45:4, Ephesians === is supremeDedekind has shown that the algebraic integers form a gcd domain (actually> a bit more: it is a Bezout domain), so the gcd exists. It is quite> similar to the standard gcd in the integeexcept that this definition> is not concerned with the sign, so in the integethe gcd of 6 and 14> is +2 or -2.> Now a little theorem:> gcd(a * b, c) | gcd(a, c) * gcd(b, c).> You might try to prove it. The prove is easy in a unique factorisation> domain, less easy in other domains.> This is true in any gcd domain. Don't know if it is true in a> pre-Schreier domain by itself, but here goes my proof for gcd-domain.The proof is trivial using this basic propertyClaim: (ab,c) = (a(b,c),c)Proof: = (ab,ac, c) = (ab,c(a,1)) = (ab,c)So applying claim twice (ab,c) = ((a,c)(b,c),c) | (a,c)(b,c) QED-Bill Dubuque> (See> 40nestle.ai.mit.edu> for a table of implications; gcd implies pre-Schreier).In a pre-Schreier ring, any two factorizations of the same element> have common refinements; and both gcd and pre-Schreier domain implyProp. If gcd(a,b)=1, then gcd(a,bc) = gcd(a,c).Proof. Let x = gcd(a,c), y = gcd(a,bc). Clealry x|y. Write a = yu, bc> = yv. Then the factorizations bc=yv have a common refinement, so> bc = yv = p*q*r*s, where b = pq, c = y=pr, v=qs. Thus> p|gcd(b,y). But if p|y then p|a, so p|gcd(b,y) = 1. Therefore, p is a> unit. But that means that y=pr divides c=so y|a, y|c, hence> y|gcd(a,c)=x. Thus, x|y and y|x, giving that, up to units, they are> equal. QED.Now back to the condition we have: we want to prove that gcd(ab,c)> divides gcd(a,c)*gcd(b,c).Let r = gcd(a,c), s = gcd(b,c). We want to show that gcd(ab,c) divides> rs.Write a = ru, c = rv with gcd(u,v) = 1;> b = sw c = sy with gcd(w,y) = 1.Using the pre-Schreier property, we can take the two factorizations of> c, rv = sy and find a common refinement, that is, writec = h*k*m*n, wherer = hk, v = mn> s = hm, y = kn.We haveab = (ru)(sw) = (hku)(hmw) = h^2*k*m*u*w.> c = h*k*m*n.rs = h^2*k*m; and we see that the gcd of ab and c is h*k*m*gcd(huw,n).Since n|y and gcd(n,y) = 1, we have gcd(huw,n) = gcd(hu,n). Since n|v> and gcd(u,v)=1, we have gcd(n,u)=1, so gcd(huw,n) => gcd(hu,n)=gcd(h,n). So gcd(ab,c) = h*k*m*gcd(h,n), which divides> h*k*m*h = h^2*k*m = rs = === gcd(a,c)*gcd(b,c).QEDSubject: Re: Do you or your children have children, 10,13 and 15 years old.The oldest had problems with her mathematics and, just looking I found> a marvellous site explaining lots of things about maths, try it out :> http://www.outwar.com/page.php?x=1920394 . It can seem strange, but> dont miss a bit :D> When a link pops up an executable download, I consider it a game site, not a math site.-- Will Twentymanemail: wtwentyman at copper dot === [(R -> S) -> (R -> R)]> can I write:1 [(R -> S) -> (R -> R)]> 2 R -> S hyp1> 3 R -> R mp,2,1> 4 [(R -> S) -> (R -> R)] discharge hyp1R -> R is always true, can i discharge hyp1 and thats it?> or do i have to prove R -> S is true?You can't use 4 as 1, otherwise you're assuming what you wish to prove.The key will be knowing that q->q = T, and p->T = T.-- Will === Simplicity versus dirty math tricksI've no recently that you can't claim to be in a ring while usingelements outside of that ring. The mathematics is rather basic butI'm seeing disagreement as if there's something to debate.Here's an example to help take away places to hide:1 + 2 = 3, so you can say (1+2)/3 = 1, and some might try to claimthat my current position is like trying to say that 1/2 + 2/3 = 1 isnot in the ring of integeas you have to sum *first* and then byconvention, since the division isn't a ring operation anyway, you cansay 3/3 = 1.Now though, consider4(1+2) = 4 + 8as here notice that you have *two* sums on both sides wher 8 on theright side is a factor of 4 and 2 on the left.I've poin out that you *have* to use elements from within the ring,for such an operation, while posters arguing with me, keep trying topush the argument as if it's like the 1+2 = 3 example before.Here's how they do it.The modified Decker example is(5a_1(x) + 7)(5b_2(x) + 2) = 7(25x^2 + 30x + 2)where b_2(x) = a_2(x) + 1, and a^2 - (x - 1)a + 7(x^2 + x).So multiplying through by 7 on the right side you have(5a_1(x) + 7)(5b_2(x) + 2) = 7(25)x^2 + 7(30)x + 7(2)and 7 and 2 on the left are factors of 7(2) on the right.Notice that besides 7(2) on the right you also have 7(25)x^2 + 7(30)x,so you have two sets of sums: the summation on the right, and thesummations on the left.There's no simplifying possible, like with 1+2=3 to be done.It's just a mathematical fact that the factors of 7(2) on the rightare 7 and 2 on the left.Now then, if you factor out 7, and try to do so with factors f_1 andf_2, such that(5a_1(x) + 7)/f_1 (5b_2(x) + 2)/f_2 = 25x^2 + 30x + 2then necessarily you *still* have the factors of 2 on the right as7/f_1 and 2/f_2 on the left.So claiming that the *sum* is all that matters is just a dirty trick,meant to fool readers into thinking that it's something like 1+2 = 3,where you have to add first before you can divide out the 3.The simple mathematical fact is that the factors of 2 on the right are7/f_1 and 2/f_2 on the left.However, 2/f_2 is not an algebraic integer if f_2 is a non-unit factorof 7, so if f_2 is a non-unit factor of 7 then you're NOT in the ringof algebraic integers.So then, if posters claim you add first, as if that matteconsiderthat they're trying to fool you with a rather basic trick thatrequires that you ignore basic === Here's an example to help take away places to hide:> 1 + 2 = 3, so you can say (1+2)/3 = 1, and some might try to claim> that my current position is like trying to say that 1/2 + 2/3 = 1 is> not in the ring of integeas you have to sum *first* and then by> convention, since the division isn't a ring operation anyway, you can> say 3/3 = 1.Actually, your claim is more like saying that 1/2 + 2/3 = 1.And as for taking away === places to hide, well-done!Subject: Re: JSH: Simplicity versus be in a ring while using> elements outside of that ring. The mathematics is rather basic but> I'm seeing disagreement as if there's something to debate.Here's an example to help take away places to hide:1 + 2 = 3, Correct.> so you can say (1+2)/3 = 1, Also correct, and confined to the integers.> and some might try to claim> that my current position is like trying to say that 1/2 + 2/3 = 1 is> not in the ring of integeNow you are clearly working with rationals (I'll assume the 1/2 is a typo for 1/3). The question is: WHAT do you claim must exist within the integers? (1+2)/3 or 1/3 and 2/3? If you mean the first, then you can't discuss the second at all. If you mean the second, then you have to be far more careful than you have been. > as you have to sum *first* and then by> convention, since the division isn't a ring operation anyway, you can> say 3/3 = 1.Now though, consider4(1+2) = 4 + 8as here notice that you have *two* sums on both sides wher 8 on the> right side is a factor of 4 and 2 on the left.This has nothing to do with the above.I've poin out that you *have* to use elements from within the ring,> for such an operation, while posters arguing with me, keep trying to> push the argument as if it's like the 1+2 = 3 example before.Here's how they do it.The modified Decker example is(5a_1(x) + 7)(5b_2(x) + 2) = 7(25x^2 + 30x + 2)where b_2(x) = a_2(x) + 1, and a^2 - (x - 1)a + 7(x^2 + x).So multiplying through by 7 on the right side you have(5a_1(x) + 7)(5b_2(x) + 2) = 7(25)x^2 + 7(30)x + 7(2)and 7 and 2 on the left are factors of 7(2) on the right.Notice that besides 7(2) on the right you also have 7(25)x^2 + 7(30)x,> so you have two sets of sums: the summation on the right, and the> summations on the left.There's no simplifying possible, like with 1+2=3 to be done.It's just a mathematical fact that the factors of 7(2) on the right> are 7 and 2 on the left.Now then, if you factor out 7, and try to do so with factors f_1 and> f_2, such that> (5a_1(x) + 7)/f_1 (5b_2(x) + 2)/f_2 = 25x^2 + 30x + 2then necessarily you *still* have the factors of 2 on the right as> 7/f_1 and 2/f_2 on the left.This is where you make your leap. What is supposed to be divisible by f_2: (5b_2(x) + 2) or 2? You haven't clearly sta it.What's your goal?So claiming that the *sum* is all that matters is just a dirty trick,> meant to fool readers into thinking that it's something like 1+2 = 3,> where you have to add first before you can divide out the 3.The simple mathematical fact is that the factors of 2 on the right are> 7/f_1 and 2/f_2 on the left.However, 2/f_2 is not an algebraic integer if f_2 is a non-unit factor> of 7, so if f_2 is a non-unit factor of 7 then you're NOT in the ring> of algebraic integers.Can you prove this? It is not immediately obvious to me.So then, if posters claim you add first, as if that matteconsider> that they're trying to fool you with a rather basic trick that> requires that you ignore basic algebra.The issue comes down to a simple question: WHAT is supposed to have f_1 as a factor and WHAT is supposed to have f_2 as a factor? Using your example:(1+2) has 3 as a factor.1 and 2 do not have 3 as a factor.Therefore, we must know whether you wish to find a factor of the sum or a factor of the summands.-- Will === JSH: Simplicity versus dirty math tricks> I've no recently that you can't claim to be in a ring while using> elements outside of that ring. The mathematics is rather basic but> I'm seeing disagreement as if there's something to debate.Here's an example to help take away places to hide:1 + 2 = 3, so you can say (1+2)/3 = 1, and some might try to claim> that my current position is like trying to say that 1/2 + 2/3 = 1 is> not in the ring of integeas you have to sum *first* and then by> convention, since the division isn't a ring operation anyway, you can> say 3/3 = 1.I have no problem with 1/2 + 2/4 not being in the ring of integebut I do have some problems with 1/2 + 2/3 = 1.Now though, consider4(1+2) = 4 + 8as here notice that you have *two* sums on both sides wher 8 on the> right side is a factor of 4 and 2 on the left.I've poin out that you *have* to use elements from within the ring,> for such an operation, while posters arguing with me, keep trying to> push the argument as if it's like the 1+2 = 3 example before.Here's how they do it.The modified Decker example is(5a_1(x) + 7)(5b_2(x) + 2) = 7(25x^2 + 30x + 2)where b_2(x) = a_2(x) + 1, and a^2 - (x - 1)a + 7(x^2 + x).So multiplying through by 7 on the right side you have(5a_1(x) + 7)(5b_2(x) + 2) = 7(25)x^2 + 7(30)x + 7(2)and 7 and 2 on the left are factors of 7(2) on the right.Notice that besides 7(2) on the right you also have 7(25)x^2 + 7(30)x,> so you have two sets of sums: the summation on the right, and the> summations on the left.There's no simplifying possible, like with 1+2=3 to be done.It's just a mathematical fact that the factors of 7(2) on the right> are 7 and 2 on the left.But in the ring of algebraic integethere are factorizations of 14 into p times q, both algebraic integewhere neither p nor q is a factor of 7 in that ring.What you are saying for algebric integers is equivalent to saying for rational integers that 210 MUST factor into 12 times 10 and in no other way, so that anyone who suggests that 210 can also befactored into 14 time 15 must be wrong.Now then, if you factor out 7, and try to do so with factors f_1 and> f_2, such that> (5a_1(x) + 7)/f_1 (5b_2(x) + 2)/f_2 = 25x^2 + 30x + 2then necessarily you *still* have the factors of 2 on the right as> 7/f_1 and 2/f_2 on the left.No you don't. The factors on the left will be (5a_1(x) + 7)/f_1 and (5b_2(x) + 2)/f_2.There is no more reason to suppose that5*b_2(x)/f_2 or 2/f_2 need be algebraic integers than to suppose that because (10 + 11)/7 is an integer then 10/7 or 11/7 need also to be integers.So claiming that the *sum* is all that matters is just a dirty trick,Since it is only the sum, and not the summands seqparately, that is being divided, it is only the divisibility of the sum one need worry about. Since every positive integer is a sum of 1's, by your theory nothing is divisible by anything but 1.> meant to fool readers into thinking that it's something like 1+2 = 3,> where you have to add first before you can divide out the 3.Well, lets see you do it first, in the ring of integers of course so that no fractions are allowed.The simple mathematical fact is that the factors of 2 on the right are> 7/f_1 and 2/f_2 on the left.Only if we are stuck in the ring of rational integeas you seem to be.However, 2/f_2 is not an algebraic integer if f_2 is a non-unit factor> of 7, so if f_2 is a non-unit factor of 7 then you're NOT in the ring> of algebraic integers.You may not be, but you are the only one who finds it necessary to look at 2/f_2 at all.So then, if posters claim you add first, as if that matteIn the ring of intege(10 + 11)/7 is a rational integer while 10/7 11/7 are not. JSH would have you believe that 10/7 and 11/7 not being rational integers is relevant in determining whether 21/7 is a rational integer.consider> that they're trying to fool you with a rather basic trick that> requires that you ignore basic algebra.While JSH's basic trick requires you to ignore both algebra and arithmetic, and to come === Simplicity versus dirty math tricks>I've no recently that you can't claim to be in a ring while using>elements outside of that ring. The mathematics is rather basic but>I'm seeing disagreement as if there's something to debate.Part of the problem with all of this is that you insist on usingstrange language. No mathematician ever claims to be ina ring. When he talks about an element of a ring he saysso - if he's talking about something other than an elementof that ring he makes it clear that he's not talking aboutan element of that ring.>Here's an example to help take away places to hide:>1 + 2 = 3, so you can say (1+2)/3 = 1, and some might try to claim>that my current position is like trying to say that 1/2 + 2/3 = 1 is>not in the ring of integeas you have to sum *first* and then by>convention, since the division isn't a ring operation anyway, you can>say 3/3 = 1.>Now though, consider>4(1+2) = 4 + 8>as here notice that you have *two* sums on both sides wher 8 on the>right side is a factor of 4 and 2 on the left.>I've poin out that you *have* to use elements from within the ring,>for such an operation, while posters arguing with me, keep trying to>push the argument as if it's like the 1+2 = 3 example before.>Here's how they do it.>The modified Decker example is>(5a_1(x) + 7)(5b_2(x) + 2) = 7(25x^2 + 30x + 2)>where b_2(x) = a_2(x) + 1, and >a^2 - (x - 1)a + 7(x^2 + x).>So multiplying through by 7 on the right side you have>(5a_1(x) + 7)(5b_2(x) + 2) = 7(25)x^2 + 7(30)x + 7(2)>and 7 and 2 on the left are factors of 7(2) on the right.>Notice that besides 7(2) on the right you also have 7(25)x^2 + 7(30)x,>so you have two sets of sums: the summation on the right, and the>summations on the left.>There's no simplifying possible, like with 1+2=3 to be done.>It's just a mathematical fact that the factors of 7(2) on the right>are 7 and 2 on the left.>Now then, if you factor out 7, and try to do so with factors f_1 and>f_2, such that>(5a_1(x) + 7)/f_1 (5b_2(x) + 2)/f_2 = 25x^2 + 30x + 2>then necessarily you *still* have the factors of 2 on the right as>7/f_1 and 2/f_2 on the left.>So claiming that the *sum* is all that matters is just a dirty trick,>meant to fool readers into thinking that it's something like 1+2 = 3,>where you have to add first before you can divide out the 3.>The simple mathematical fact is that the factors of 2 on the right are>7/f_1 and 2/f_2 on the left.>However, 2/f_2 is not an algebraic integer if f_2 is a non-unit factor>of 7, so if f_2 is a non-unit factor of 7 then you're NOT in the ring>of algebraic integers.>So then, if posters claim you add first, as if that matteconsider>that they're trying to fool you with a rather basic trick that>requires that you ignore basic === factorizations, relevanceMathematicians today are inheritors of a rather deserved glory fromthe exploits and important work of *past* mathematicians who have donemuch to advance knowledge. However, it is problematic ifmathematicians today can rely on social support garnered from theefforts of their predecessors to hide acts of wrongdoing today.Here I'll outline the basic mathematics underlying a find of mine of astrange error in an esoteric branch of mathematics called algebraicnumber theory.To understand posts on this subject, it will help if you understandthe basics of factorizations.1. Factorizations are just ways of looking at factors of someproduct.For instance, 2(3) is a factorization of 6, which tells you that 6 isa product of 2 and 3.That factorization is in an integer domain, which simply means thatyou have only integeso a factorization like 5(6/5) = 6, is notvalid in integethough it is valid in some other domain likerational numbers that has 1/5 as a member.2. Algebra allows a generalization of factorizations beyond specificnumber examples, for instance(x+2)(x+3) = x^2 + 5x + 6which is true without regard to what domain x is in, so you can let xbe an integer, or it could be a fraction.3. If x is an integer, then you're guaranteed to be in the integerdomain, which logically follows from the fact that x is added to andmultiplied times other integeas addition and multiplication arewhat are called ring operations by mathematicians.4. Algebraic integers are roots of monic polynomials with integercoefficients e.g. x^2 + 5x + 6, as monic just means that leadingcoefficient is a factor of 1 in the integer domain.Not surprisingly, if x is an algebraic integer, then x^2 + 5x + 6 isan algebraic integer, and the factorization(x+2)(x+3) = x^2 + 5x + 6 is in the algebraic integer domain.What I've done is consider factorizations of polynomials, where thefactors are not polynomials.5. In an attempt at questioning an important conclusion a RickDecker, a professor at Hamilton College, made a post with his ownexample of such a factorization, and I've used it partly because it'sa quadratic and easier to handle.That factorization is(5a_1(x) + 7)(5a_2(x) + 7) = 7(25x^2 + 30x + 2) where his a's are roots of a^2 - (x - 1)a + 7(x^2 + x).Notice that it is a factorization because you have factors (5a_1(x) + 7) and (5a_2(x) + 7) which multiply to give the product 7(25x^2 + 30x + 2).Algebra allows me to make the substitution a_2(x) = b_2(x) - 1 to get(5a_1(x) + 7)(5b_2(x) + 2) = 7(25x^2 + 30x + 2) where the purpose is to balance out constant factowhich here arenumbeon both sides of the equation.Importantly, with that substitution, at x=0, a_1(0) = b_2(0) = 0, as Iemphasize that the 7 and 2 visible on the left multiply to give 7(2)on the right.That is, when you multiply through by 7 on the right side you have7(25)x^2 + 7(30)x + 7(2) where the 7(2) is the product of the factors visible on the left in(5a_1(x) + 7)(5b_2(x) + 2).I have to elaborate to that level of detail because for mathematiciansto fool you about my discovery, you have to be confused on that simplepoint.Integers are rather easy to work with so now I can use them todetermine what is forced upon the variables.Notice that multiplying out gives25 a_1(x) b_2(x) + 10 a_1(x) + 35 b_2(x) + 14 = 175 x^2 + 210 x + 14.That's important because I now attempt to eliminate the factor of 7from both sides, and to do so while remaining in the domain ofalgebraic integers.6. The logical conclusion is that the only way that might possiblyallow that is(5a_1(x)/7 + 1)(5b_2(x) + 2) = 25x^2 + 30x + 2as consider another possibility, like (5a_1(x)/sqrt(7) + sqrt(7))(5b_2(x)/sqrt(7) + 2/sqrt(7)) = 25x^2 + 30x + 2which gives the factorizationsqrt(7)(2/sqrt(7)) = 2as multiplying out gives25 a_1(x) b_2(x)/7 + 10 a_1(x)/7 + 5b_2(x) + 2 = 25 x^2 + 30 x + 2and the two factors are(5a_1(x)/sqrt(7) + sqrt(7))and(5b_2(x)/sqrt(7) + 2/sqrt(7))which internally have sqrt(7) and 2/sqrt(7) as the factors of 2.But that second factor cannot be in the domain of algebraic integersas 2/sqrt(7) is not an algebraic integer.Generalizing, for any factorization of 7, with algebraic integers f_1and f_2, where f_1 f_2 = 7, and f_1 is assumed to be a factor of(5a_1(x) + 7) you will have(5b_2(x)/f_2 + 2/f_2)as a factor, and if 2/f_2 is not an algebraic integer, then thatfactor is not in algebraic integers.7. Logically that follows from the requirement that for afactorization to be in a particular domain, its factors must be inthat domain as well.Like before, with 2(3) = 6, in the domain of integers that is valid,while 5(6/5) = 6 is not valid in the domain of integers.So if you're trying to remain in the domain of algebraic integers then(5a_1(x)/7 + 1)(5b_2(x) + 2) = 25x^2 + 30x + 2is the only possibility.Mathematicians, however, for many years believed that if the roots ofa quadratic likea^2 - (x - 1)a + 7(x^2 + x)are not integethen there's no way to figure out where factors of 7might go between those roots, but they believed that they did split upin some way such that each root would have some factor of 7 in thering of algebraic integers.My work proves that wrong with simple algebraic principles by usingnon-polynomial factowhich is the step mathematicians did not take.Now algebraic integers have been defined to be the roots of monicpolynomials with integer coefficients, which is actually something ofan arbitrary definition.Mathematicians found it useful for over a hundred years without fullyunderstanding its limitations, like how you can be forced out of thatdomain as I have shown.It could be a small mistake, but by trying to deny and hide it,today's mathematicians are making a HUGE deal out of it, and bringingtheir own credibility into question.They are damaging their discipline, by not telling the truth fully andhonestly.I've shown what is mathematically correct. It's been that way fromthe beginning as the correct mathematics does not change.Today's mathematicians gain nothing by hiding from the truth. Afterall, in mathematics, when you're wrong, you're just === underlying a find of mine of a> strange error in an esoteric ing imbecile troll . Hey stooopid loud troll JamesHarris, put up or shut up. Is a $10,000 prize no questions asked toosmall to justify your submission of two little prime numbers?http://www.rsasecurity.com/rsalabs/challenges/ factoring/faq.htmlhttp://www.rsasecurity.com/rsalabs/ challenges/factoring/numbers.htmlhttp://www.crank.net/ harris.html It's not every braying jackass that gets a whole page at in a brothel, a capon in ahenhouse, a steer amidst cows; a stot, a gelding, a gelt, a havier, agib, a lapin, a seg, a hog, a wether... a loud stupid psychotic boorin a science newsgroup.--Uncle Alhttp://www.mazepath.com/uncleal/qz.pdfhttp:// www.mazepath.com/uncleal/eotvos.htm (Do something naughty to === Mathematicians today are inheritors of a rather deserved glory from> the exploits and important work of *past* mathematicians who have> done much to advance knowledge. However, it is problematic if... an idiot like you decides to try to understand some of that work?Indeed, very true. No argument on === relevanceFactorization http://mathworld.wolfram.com/Factorization.html http://mathworld.wolfram.com/PrimeFactorization.html The determination of factors (divisors) of a given integer (prime factorization), polynomial (polynomial factorization), etc. In many cases of interest (particularly prime factorization, factorization is unique, and so gives the simplest representation of a given quantity in terms of smaller parts. The terms factorization and factoring are used synonymouslyPrime Counting Function http://mathworld.wolfram.com/PrimeCountingFunction.htmlPrime Difference Function http://mathworld.wolfram.com/PrimeDifferenceFunction.html Crank Information http://www.crank.net/harris.html http://www.crank.net/usenet.html 3Ausers.pandora.be