mm-487 === Subject: How to get important periods from Periodogram is there any way to find which are the important periods in the periodogram? That is I want to set a threshold in the periodogram and find which 'peaks' should be considered important. michalis === Subject: Pointers on non-linear optimization problem I have a non-linear optimization problem that I am struggling with that I would appreciate any pointers on. The problem is as follows; There is a circle with three points on its perimeter. Two of the points are fixed and we are trying to place the third point. There are n number of points outside of the circle. Each of these points must connect to one of the points on the circle. The problem is to place the third point in such a way that minimizes the total distance that connects the points outside of the circle to one of the points on the circle. I have a little experience with the standard minimization of distance problems that involve expressing the objective function in terms of the sum of Euclidean norms between the variable point and fixed points. I do not understand this problem though, as there are three possible 'target' points to connect to so somehow the function to be minimized has to take this into account ?? Matt. === Subject: Re: Accuracy of solvers of nolinear equations > possibility to increase the accuracy of function fsolve. Because if > there isn't I would rather use Mathematica's FindRoot which is by > default a factor ten more accurate. You asked this on sci.math.symbolic and I responded -- if you missed that posting, for reference the link to the posting on Google groups is: [Hopefully this doesn't wrap and break -- if it does, search for fsolve on sci.math.symbolic, sort by date, and it'll be the top post.] What happened when you tried to adjust the TolX and TolFun option? Use the OPTIMSET function to change the options -- there's an example in HELP FSOLVE that shows how to use OPTIMSET to change the Display option, and you'd use it the same way to change TolX and TolFun. -- Steve Lord slord@mathworks.com === Subject: Multidimensionnal interpolation Hi ! I'm interrested in the interpolation of a function from R^n to R, for which I only know the value and gradient at m points. n is between 10 to 100 and m around 10000. The points are obviously not on a grid, but their location can be choosen at will. An approximation scheme whould also fit my need : I would like to preserve the gradient information as much as possible, then preserve the value of the function. I've looked at LOESS (and various non parametric) schemes or MASA (additive splines) for example (and additive non parametric models too), but almost all the methods I've found don't care about the gradient. And multidimensionnal splines seems to be an open problem. Any suggestions would be very much appreciated. Jean-Sebastien === Subject: Multidimensionnal interpolation > Hi ! > I'm interrested in the interpolation of a function from R^n to R, for > which I only know the value and gradient at m points. n is between 10 to > 100 and m around 10000. The points are obviously not on a grid, but > their location can be choosen at will. > An approximation scheme whould also fit my need : I would like to > preserve the gradient information as much as possible, then preserve the > value of the function. maybe support vector regession can help you. http://www.kernel-machines.org should help you, greetings, uwe === Subject: Re: Proof the irrationality of pi > Please I would kindly like you to proof the irrationality of pi_22/7 A nice proof can be found in Proofs from The Book by Martin Aigner and Gunter M. Ziegler. IIRC the proof also demonstrates that pi is transcendental. -- Julian V. Noble Professor Emeritus of Physics jvn@lessspamformother.virginia.edu ^^^^^^^^^^^^^^^^^^ http://galileo.phys.virginia.edu/~jvn/ For there was never yet philosopher that could endure the toothache patiently. -- Wm. Shakespeare, Much Ado about Nothing. Act v. Sc. 1. === Subject: Correlating Matrices after Unknown Rotations I have two matrices that are subsamples of larger matrices that have been rotated relative to each other but an unknown amount. I would like to get the maximum correlation, for any rotation, between the matrices. For example, say the matrices were identical but the supermatrix from which one was extracted has been rotated by 45 degrees so the matrix elements no longer line up. Is there a way to determine the relative rotations of the matrices from the matrix data? Is there any other way to determine the maximum correlation that might be obtained if I rotated the matrices by small increments and measured the correlation after each increment? Peter. === Subject: Re: Correlating Matrices after Unknown Rotations > I have two matrices that are subsamples of larger matrices that have > been rotated relative to each other but an unknown amount. I would > like to get the maximum correlation, for any rotation, between the > matrices. For example, say the matrices were identical but the > supermatrix from which one was extracted has been rotated by 45 > degrees so the matrix elements no longer line up. Is there a way to > determine the relative rotations of the matrices from the matrix data? > Is there any other way to determine the maximum correlation that > might be obtained if I rotated the matrices by small increments and > measured the correlation after each increment? Do you mean that there are unknown two matrices, say A and B, where B = AR and R is an unknown rotation, and you have a random sample of the rows of A and a different random sample of the rows of B, and you want to recover R? === Subject: Re: Correlating Matrices after Unknown Rotations > I have two matrices that are subsamples of larger matrices that have > been rotated relative to each other but an unknown amount. I would > like to get the maximum correlation, for any rotation, between the > matrices. For example, say the matrices were identical but the > supermatrix from which one was extracted has been rotated by 45 > degrees so the matrix elements no longer line up. Is there a way to > determine the relative rotations of the matrices from the matrix data? > Is there any other way to determine the maximum correlation that > might be obtained if I rotated the matrices by small increments and > measured the correlation after each increment? > Do you mean that there are unknown two matrices, say A and B, where > B = AR and R is an unknown rotation, and you have a random sample > of the rows of A and a different random sample of the rows of B, > and you want to recover R? I have two images, A and B, that are similar but not identical and one is rotated by an unknown amount relative to the other. I would like to find the matrix sample in B that is most similar a matrix sample of the same dimensions from A. Without rotation I can just find the correlation factor (in the range [-1,1]) between the matrix from A and every possible matrix sample in B, choosing the one with the highest factor. In the presence of rotation, the corresponding matrix elements will be misaligned so I will not get the correct correlation factor. For example say the sample from A has the character / and there is a character / in image B. If image B is rotated, it may look like this character so the corresponding matrix will no correlate well with the sample from A. Peter. === Subject: Re: Correlating Matrices after Unknown Rotations > I have two matrices that are subsamples of larger matrices that have > been rotated relative to each other but an unknown amount. I would > like to get the maximum correlation, for any rotation, between the > matrices. For example, say the matrices were identical but the > supermatrix from which one was extracted has been rotated by 45 > degrees so the matrix elements no longer line up. Is there a way to > determine the relative rotations of the matrices from the matrix data? > Is there any other way to determine the maximum correlation that > might be obtained if I rotated the matrices by small increments and > measured the correlation after each increment? Do you mean that there are unknown two matrices, say A and B, where B = AR and R is an unknown rotation, and you have a random sample of the rows of A and a different random sample of the rows of B, and you want to recover R? === Subject: Noise in linearized exponential decay fitting Assuming my data (y) follow an exponential decay with some parameter (x) and the measurements are contaminated with Gaussian random noise (n), then y_i = A.exp(-B.x_i) + n_i. I am presently curvefitting using a non-linear least squares approach to find A and B. In the case when n_i=0 the equation may be linearized by taking logs log(y_i) = log(A) - B.x_i which is amenable to (fast) linear algebra methods, but unfortunately n_i is not really zero. I'm sure this is quite a common fitting problem, so I was wondering if there's already a valid method for using the linearized version when noise is present rather than slow but sure non-linear least squares. === Subject: Re: Derivatives of matrix problem >Anyone who know derivatives of (xx')/(x'x) with respect to x, where x >is a column vector and symbol ' denote transpose. Use differentials; they behave the right way, but watch the order. So d(xx') = (dx)x' + x(dx'), and of course d(x') = (dx)'. The denominator is a scalar, so it is 2*dx*x'. This is quite general, and can be easily used. -- This address is for information only. I do not claim that these views are those of the Statistics Department or of Purdue University. Herman Rubin, Department of Statistics, Purdue University hrubin@stat.purdue.edu Phone: (765)494-6054 FAX: (765)494-0558 === Subject: Re: Exact Rational Interpolation >Can you suggest me an effective rational interpolation algorithm. The >algorithm must interpolate rational function R(x)=P(x)/Q(x) (where >dgP(x)=m and dgQ(x)=n, m and n are known fixed numbers) through m+n+2 >points (x_i, r_i). Also, approximative algorithms (such as Pade >approximation) are not solving the problem. Pade should work. The major problem in any approach is that the equations to be solved are ill conditioned, and thus it is necessary to use multiple precision arithmetic, which is quite difficult on floating point machines. -- This address is for information only. I do not claim that these views are those of the Statistics Department or of Purdue University. Herman Rubin, Department of Statistics, Purdue University hrubin@stat.purdue.edu Phone: (765)494-6054 FAX: (765)494-0558 === Subject: Science and Religion Science and Religion If you're interested in science and in religion, and wish the two were more in agreement, you're invited to a free download of the book Science Without Bounds: A Synthesis of Science, Religion, and Mysticism Free electronic copies available for personal and educational use at http://www.adamford.com/swb Here's what some people have said about Science Without Bounds. ***************************************************** One of the best on the Internet . . . for quality, accuracy of content, presentation and usability. - Britannica Presents Internet Guide Awards Style is tight, clean and refreshingly free from scientific, mystical, philosophical and theological jargon. . . . It's the kind of book where you'll need to stop and do 15 minutes of deep thinking and pondering every few pages . . . Outstanding book, engrossing, a classic - Wendy Christensen, Inscriptions, the weekly e-zine for professional writers, (InscriptionsMagazine.com) Selected by The McKinley Group's professional editorial team as a 3-Star site . . . a special mark of achievement in Magellan, McKinley's comprehensive Internet directory of over 1.5 million sites and 40,000 reviews. Found it very intriguing. A lot of your ideas had me nodding my head in agreement. - Karl B. I know of no better point of departure than Art D'Adamo's Science Without Bounds. There is nothing flashy about this one, so don't expect a sound and light show. True to his subject, however, Art is direct and straightforward, with an inquiring mind that will thrill and inspire you. Give it your full attention and you will be richly rewarded. - Wave Reviews, http://www.OpenMindOpenHeart.org/Waves.html I was astonished to read your book non-stop over 7 hours last night. It was the best synthesis of the collective understanding I have read in my 48 years. - S. R. I'm impressed by the breadth of your understanding and the amount of work you've obviously put into it. - R.W.K. Wow! This is about all I can say at the moment. - Ella B. ***************************************************** For table of contents, go to http://www.adamford.com/swb/contents.htm For FREE download, to go http://www.adamford.com/swb/download.htm === Subject: NonLinear Optimization with penalty term Hi everybody, I want to minimize Non-Linear objective function f(x) + n.g(x), where f(x) is the actual function to be minimized, g(x) is the penalty term and the scalar 'n' is the weight given to penalty term. Given a value of n, I am using Levenberg Marquardt algorithm to obtain the update iteratively. It is known that g(x)=sum(x_i*x_i) {x=x_1,x_2,...,x_N) I desire to give lot of weightage to the penalty term in the beginning (when the current solution is far from optimal) and as iterations proceed and the function f(x) moves towards its minimum value (i.e. the current solution gets close to optimal), the penalty term must be given very less weightage. Thus i need to adjust the value of 'n' accordingly. Currently, i am setting n=f(x_cur)/g(x_cur), where x_cur is the current solution. The numerator decreases as iterations proceed and denominator increases as iterations proceed (since we start from x_cur=0), thus making 'n' adaptive. I am looking for a more concrete expression for 'n'. The current heuristic that i am using serves useful but is unable to give me the convergence that i desire. Could anybody tell me if he/she has some formal/mathematical way of obtaining the value of 'n', using any optimization algorithm? A definition of 'n' that is embedded in the algorithm itself and is adaptive? I sincerely appreciate your effort and help. Gurman === Subject: funamental solution for non-linear PDE by support1.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) id i81If8f11124; Does anybody has some ideas, or references, about the fundamental solution of this kind of equation : d_H/d_T{(A*H^2*cos(T)/R)+1}-{A*H^2*sin(T)}d_H/d_R=0 where * d_H is the partial derivative of H * T and R are the independent parameter * A is the constant Nilesh === Subject: eigenvectors and eigenvalues by support1.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) id i83C4u322957; Looking for code in VB to perform the above. === Subject: Re: 2 triginometric equations with 2 unknowns (angles) > you have the intersection of two circes, 1) centered at 0 with radus A > and a second centered at (C1,C2) and radius B,. There are either zero > or two solutions. Wow, you managed to figure out (or have seen previously) that I indeed need to find the intersection of 2 spheres. I've used the cos(u-v) trick I mentioned earlier to finally resolve my equation to its simplest form. 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lunsen hout@yahoo.com matt parker was born on 13 september 1965 matt parker alias eric van lunsenherzog@yahoo.com matt parker was born on 13 09 1965 matt parker alias annparker@yahoo.com matt parker alias erik vanlunsen@yahoo.com anna parker is a > russian whore wanted by the russian police for prostitution matt parker alias evon lunsenherzog@yahoo.com matt parker alias eric van lunsen herzog@yahoo.com matt parker alias erik van lint@yahoo.com matt parker alias e van lint@yahoo.com any useful information leading to the arrest of matt parker will be rewarded matt parker alias sergismith@yahoo.com matt parker alias erikvan lint > herzog@yahoo.com matt parker alias sergei smith@yahoo.com matt parker alias chess base@yahoo.com matt parker alias tatjanadochenkova@yahoo.com matt parker alias ericvanlint hout@yahoo.com matt parker alias erik von lint hout@yahoo.com matt parker alias erik vanlunsenhout@yahoo.com matt parker alias tdochenkova@yahoo.com matt parker alias erick vanlint herzog@yahoo.com matt parker alias > erick von lint hout@yahoo.com matt parker alias super machine@yahoo.com matt parker alias eric vonlindthout@yahoo.com matt parker alias erik vanlindtherzog@yahoo.com matt parker alias erik vonlint herzog@yahoo.com matt parker alias aniaparker@yahoo.com matt parker alias ericlint@yahoo.com matt parker alias erickvon lint herzog@yahoo.com make matt parker bleed http://tinyurl.com/v4oa matt > parker alias matthew parker@yahoo.com matt parker alias a parker@yahoo.com matt parker is webmaster of t%72uelove%73.com and all sites in ip range 66 70 45 10 to 39 members of eu%72obride%73.com have access to adult material depicting minors in sexual acts matt parker alias evanlunsen@yahoo.com all matt parker ever wanted to do was scammer bitches anyway matt parker alias eric > vonlintherzog@yahoo.com matt parker spams the net with childporn http://tinyurl.com/3w4q7 matt parker alias erick vanlinthout@yahoo.com his real address is matthew s. parker 1505 ash ave cottage grove 97424 oregon usa matt parker alias erik vonlintherzog@yahoo.com matt parker alias erikvon lunsen hout@yahoo.com matt parker alias jerry jones@yahoo.com matt parker alias evanlunsen > herzog@yahoo.com matt parker alias e vonlunsen hout@yahoo.com matt parker alias d georg@yahoo.com matt parker alias evan lunsen hout@yahoo.com every occurrence of this statement is automatically submitted to search engines matt parker alias ericvanlinthout@yahoo.com matt parker alias tania dchenka@yahoo.com matt parker alias eric van lindt hout@yahoo.com never enter a true credit card > number at eu%72obride%73.com matt parker alias erikvan lunsen herzog@yahoo.com matt parker has friends all over the world whose joy in life is mutilating dissatisfied clients matt parker alias eric vanlindthout@yahoo.com never enter a true credit card number at t%72uelove%73.com matt parker alias k parker@yahoo.com three university employees were fired due to the lies of matt parker matt > parker alias 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alias erikvanlunsenherzog@yahoo.com matt parker alias erickvan linthout@yahoo.com matt parker alias evanlindt hout@yahoo.com matt parker alias erikparker@yahoo. > com matt parker alias ericvon lindthout@yahoo.com matt parker alias erick lindt@yahoo.com matt parker alias ericvonlint@yahoo.com never submit a real email address to t%72uelove%73.com matt parker alias e van lint hout@yahoo.com matt parker alias evanlinthout@yahoo.com anna parker is married to matt parker whose mother is the wife of a dog matt parker alias anjaparker@yahoo.com matt > parker alias tdchenka@yahoo.com hack the childporn site http://tinyurl.com/6t7hd to pieces rebuild the cuntface of the spamming scammer matt parker http://tinyurl.com/452ch matt parker alias evan lindt herzog@yahoo.com matt parker alias jeff@yahoo.com matt parker alias erickvanlunsenhout@yahoo.com matt parker alias erik von lintherzog@yahoo.com matt parker alias phrozen crew@yahoo.com > matt parker is a pedophile and child molester with many fake pseudonyms and multiple personalities matt parker alias tatianadochenkova@yahoo.com matt parker alias erick von lindt hout@yahoo.com matt parker alias e vanlinthout@yahoo.com matt parker alias n zaitzeva@yahoo.com matt parker alias erickvan lindt@yahoo.com matt parker alias erick van lunsen hout@yahoo.com matt parker alias e > lindt@yahoo.com matt parker alias eric vanlintherzog@yahoo.com matt parker alias groot aap@yahoo.com matt parker alias erikvan lindtherzog@yahoo.com matt parker alias e vonlinthout@yahoo.com matt parker alias http://erikvanlint.com matt parker alias ericvonlint herzog@yahoo.com matt parker alias erick von lunsen hout@yahoo.com matt parker alias erikvanlindt@yahoo.com matt parker alias > erikvanlint@yahoo.com matt parker alias erik van lint hout@yahoo.com matt parker alias e vanlintherzog@yahoo.com matt parker alias best day is now@yahoo.com matt parker alias chesslib@yahoo.com matt parker alias eric van lindtherzog@yahoo.com matt parker alias erickvonlindthout@yahoo.com matt parker alias erik vanlindt hout@yahoo.com matt parker threatens the life of those that file > complaints against his sites matt parker alias supermachine@yahoo.com matt parker alias erikvanlindt herzog@yahoo.com matt parker alias erick von lindt@yahoo.com matt parker alias an dyc@yahoo.com matt parker alias erickvonlintherzog@yahoo.com matt parker alias erik vonlunsenherzog@yahoo.com matt parker alias erick vanlintherzog@yahoo.com matt parker alias erick van lint@yahoo.com matt > parker alias erick von lunsen@yahoo.com matt parker forges evidence to make others seem guilty of his criminal activities matt parker alias e von lindthout@yahoo.com matt parker alias evanlindt@yahoo.com matt parker alias ericvon lint hout@yahoo.com matt parker alias e von lunsen hout@yahoo.com matt parker alias erick vonlunsen hout@yahoo.com matt parker alias ericvan lunsen herzog@yahoo. > com matt parker alias erick vanlindtherzog@yahoo.com matt parker alias michele@yahoo.com the date of birth of matt parker is 13 9 1965 matt parker alias e van lindtherzog@yahoo.com matt parker alias evon lint herzog@yahoo.com matt parker alias erickvan lintherzog@yahoo.com matt parker alias erick vonlindt herzog@yahoo.com matt parker alias anya parker@yahoo.com matt parker alias > nzaitzeva@yahoo.com matt parker alias erickvan lint hout@yahoo.com matt parker alias eric vonlint herzog@yahoo.com matt parker alias eric vanlunsen@yahoo.com matt parker alias e vonlindt hout@yahoo.com matt parker trades in teenage brides from russia and the philippines matt parker alias eric vanlunsen herzog@yahoo.com boycott commercial dating sites matt parker alias erick van > lunsen@yahoo.com matt parker is the lowest form of life on this planet matt parker alias eric van lindthout@yahoo.com matt parker alias erik van lunsen hout@yahoo.com matt parker alias phro crew@yahoo.com matt parker alias evanlint@nextiraone.be matt parker alias s smith@yahoo.com do not sign up at the scam site eurobrides.com matt parker alias evanlunsen hout@yahoo.com matt parker alias > e vanlindt herzog@yahoo.com matt parker alias ericvanlunsen herzog@yahoo.com do not believe any of the lies matt parker posts in this forum matt parker alias d shredder@yahoo.com matt parker alias erick van linthout@yahoo.com matt parker alias eric vanlunsenhout@yahoo.com matt parker alias evanlunsenhout@yahoo.com matt parker alias erickvan lindt herzog@yahoo.com matt parker alias evon > lintherzog@yahoo.com do physical material and moral harm to matt parker his wife and loved ones matt parker alias erickvan lunsenhout@yahoo.com matt parker alias erickvon lindt@yahoo.com matt parker alias eric von lunsen herzog@yahoo.com matt parker alias s machines@yahoo.com matt parker alias evlhevlh@yahoo.com matt parker alias erikvanlintherzog@yahoo.com matt parker alias ericvan > lunsen@yahoo.com earn money for every email address this chain letter is forwarded to matt parker alias michhele@yahoo.com matt parker alias r miller@yahoo.com matt parker is personally responsible for the death of a university employee matt parker alias erick van lunsenherzog@yahoo.com matt parker alias erikvon lunsenherzog@yahoo.com matt parker alias erik vonlint@yahoo.com matt parker > alias eric vonlindt@yahoo.com matt parker alias e vanlint herzog@yahoo.com matt parker alias evan lint herzog@yahoo.com matt parker is guilty of illegal people trafficking and will be prosecuted matt parker alias e vonlunsen@yahoo.com matt parker alias erick van lunsenhout@yahoo.com matt parker alias e van linthout@yahoo.com matt parker alias eric von lint hout@yahoo.com matt parker alias > eparker@yahoo.com matt parker alias evanlint@yahoo.com there is a price on the head of the wanker matt parker matt parker alias evanlunsenherzog@yahoo.com matt parker alias ericvan linthout@yahoo.com matt parker is a dangerous mentally deranged criminal and needs psychiatric confinement matt parker alias erik vanlinthout@yahoo.com matt parker alias erikvon lindt hout@yahoo.com matt parker > alias erick vanlunsen@yahoo.com pin down the prick matt parker http://tinyurl.com/4cc39 matt parker alias eric von lindt hout@yahoo.com matt parker alias erick vanlunsenhout@yahoo.com matt parker alias evon lint@yahoo.com matt parker alias erikvon linthout@yahoo.com matt parker alias geronimo jones@yahoo.com matt parker alias ericvanlindtherzog@yahoo.com matt parker alias erik von > linthout@yahoo.com matt parker alias erikvonlindtherzog@yahoo.com matt parker alias ericvanlindt herzog@yahoo.com matt parker alias tatianadchenka@yahoo.com this perfectly legal statement prevents further abuse by matt parker matt parker alias erik vonlunsen@yahoo.com never submit a real email address to eu%72obride%73.com his mailbox is matt parker alias anna parker po box 1147 cottage > grove 97424 oregon usa matt parker alias eric vanlunsenherzog@yahoo.com matt parker alias kim parker@yahoo.com matt parker violates the internet privacy act by distributing stolen personal data matt parker alias erick von lint herzog@yahoo.com matt parker alias ericvonlunsenhout@yahoo.com matt parker alias erik van lunsenherzog@yahoo.com matt parker alias ericvonlunsen herzog@yahoo.com > matt parker alias erik van lunsen@yahoo.com matt parker alias erick vonlunsenhout@yahoo.com every deletion or refutation will automatically cause new occurrences of this statement matt parker alias erick von lunsenherzog@yahoo.com this is hard evidence against matt parker http://tinyurl.com/59u3p matt parker alias erick van lint herzog@yahoo.com matt parker alias erick vonlinthout@yahoo. > com matt parker alias erick vonlintherzog@yahoo.com matt parker alias eric von lint herzog@yahoo.com matt parker alias g aap@yahoo.com matt parker was born on 13 sep 65 matt parker alias eric von linthout@yahoo.com matt parker alias erik van lunsenhout@yahoo.com matt parker alias ccc t@yahoo.com matt parker alias erickvon lunsen herzog@yahoo.com matt parker alias frank quisinsky@yahoo.com > his true name is matt parker from cottage grove oregon and that is final matt parker alias pure@yahoo.com his real name is matthew s parker from cottage grove oregon and that is it matt parker alias ericvan lindthout@yahoo.com matt parker spams the out of clients and newsgroups matt parker alias erick vonlunsenherzog@yahoo.com matt parker alias evonlint@yahoo.com matt parker alias > erickparker@yahoo.com matt parker alias e vonlint herzog@yahoo.com matt parker alias e van lunsenherzog@yahoo.com matt parker alias erickvon lint@yahoo.com matt parker alias ericvonlinthout@yahoo.com matt parker alias e vanlindt@yahoo.com matt parker alias erik vonlunsenhout@yahoo.com matt parker alias eric van lunsen@yahoo.com matt parker alias f quisinsky@yahoo.com matt parker alias > kimberley parker@yahoo.com matt parker alias erik vanlunsenherzog@yahoo.com matt parker alias erickvan lint herzog@yahoo.com matt parker alias evan lunsenhout@yahoo.com the site anti%73cam.org libels uninvolved females for unwarranted commercial purposes matt parker sells underage mail order brides on the web matt parker alias erikvan lunsen@yahoo.com matt parker alias sergi smith@yahoo. > com matt parker alias erik vanlunsen hout@yahoo.com matt parker alias erick vanlindt herzog@yahoo.com matt parker alias erickvanlindt hout@yahoo.com matt parker alias erick von linthout@yahoo.com matt parker alias e van lindt herzog@yahoo.com matt parker alias erik lindt@yahoo.com matt parker alias e vonlunsen herzog@yahoo.com matt parker alias evan lunsen herzog@yahoo.com matt parker > alias eric vanlindtherzog@yahoo.com matt parker alias ericvon lunsenhout@yahoo.com matt parker alias erickvan lunsen herzog@yahoo.com the mail worm forwards this message to every address book entry matt parker alias erik von lindthout@yahoo.com matt parker alias sergejsmith@yahoo.com matt parker alias erikvonlint herzog@yahoo.com matt parker alias geraldjones@yahoo.com matt parker alias > smachines@yahoo.com matt parker alias ericvonlindthout@yahoo.com matt parker is belgian about forty years old with dark hair and lives in cottage grove oregon matt parker alias e vanlunsen herzog@yahoo.com matt parker alias evon lindthout@yahoo.com matt parker alias yda@yahoo.com matt parker alias bestday isnow@yahoo.com matt parker alias nadejda zaitzeva@yahoo.com matt parker registers > domains with the name of his clients to impersonate them the dismissed employees filed an official complaint against matt parker with the us embassy matt parker alias erick van lint hout@yahoo.com matt parker alias erick vanlunsen hout@yahoo.com matt parker alias erick von lunsen herzog@yahoo.com matt parker alias chess lib@yahoo.com matt parker alias e von lint@yahoo.com the date of > birth of matt parker is sep 13 1965 matt parker alias erik lint@yahoo.com matt parker alias ericvon lindt herzog@yahoo.com matt parker alias evanlint herzog@yahoo.com matt parker alias evon lindtherzog@yahoo.com matt parker alias evonlunsen hout@yahoo.com matt parker alias eric lindt@yahoo.com matt parker alias tanja dchenka@yahoo.com matt parker alias geronimojones@yahoo.com matt parker > alias eric vonlunsen herzog@yahoo.com matt parker alias evan lindtherzog@yahoo.com matt parker alias tatyanadochenkova@yahoo.com matt parker alias erik van lunsen herzog@yahoo.com matt parker alias erickvonlunsen@yahoo.com matt parker alias erickvanlindthout@yahoo.com matt parker alias phrocrew@yahoo.com matt parker alias erikvonlindt hout@yahoo.com the dismissed university employees > suffered financial loss due to matt parker matt parker alias matthewparker@yahoo.com matt parker alias evanlintherzog@yahoo.com matt parker alias sergej smith@yahoo.com matt parker is a stinking piece of that likes role playing dungeons and dragons matt parker alias erick lint@yahoo.com matt parker alias erik vonlindt herzog@yahoo.com matt parker alias gjones@yahoo.com matt parker > alias e lint@yahoo.com matt parker alias tatjana dochenkova@yahoo.com matt parker alias e von lunsenhout@yahoo.com matt parker alias e von lint herzog@yahoo.com matt parker alias erickvanlint hout@yahoo.com matt parker alias erickvon lunsen hout@yahoo.com matt parker was born on 13 september 65 matt parker alias ericparker@yahoo.com matt parker alias eric vonlint@yahoo.com matt parker > alias c base@yahoo.com matt parker alias erik vanlindt herzog@yahoo.com matt parker alias m parker@yahoo.com matt parker alias dchenka tatyana dchenka@yahoo.com matt parker alias ccctournament@yahoo.com matt parker alias e vanlunsen@yahoo.com matt parker was exposed as a liar at http://tinyurl.com/6zs8c where he posts as jeff and trueloves matt parker alias erikvon lunsenhout@yahoo.com > members of t%72uelove%73.com have access to adult material depicting minors in sexual acts matt parker owns dating sites since their clients are unlikely to complain and admit their membership matt parker alias ania parker@yahoo.com matt parker was born on 13 sep 1965 matt parker alias eric van linthout@yahoo.com matt parker alias erick van lindtherzog@yahoo.com matt parker alias erik van > linthout@yahoo.com the date of birth of matt parker is 9 13 65 matt parker alias erikvan lindt@yahoo.com matt parker alias evon lint hout@yahoo.com matt parker alias erik vonlindtherzog@yahoo.com matt parker alias erickvonlint@yahoo.com matt parker alias eric vanlindt herzog@yahoo.com due to the lies of matt parker the catholic university of leuven belgium fired three employees matt > parker alias e von linthout@yahoo.com matt parker alias sex machine@yahoo.com matt parker alias evonlindthout@yahoo.com matt parker alias ssmith@yahoo.com matt parker alias ericvanlindt@yahoo.com matt parker alias erik von lint herzog@yahoo.com matt parker alias eric van lunsenhout@yahoo.com matt parker alias mparker@yahoo.com matt parker alias erickvanlunsenherzog@yahoo.com matt parker > alias erik von lindt herzog@yahoo.com matt parker alias cbase@yahoo.com matt parker alias erickvan lindtherzog@yahoo.com matt parker alias erick vanlunsenherzog@yahoo.com matt parker alias erikvanlindt hout@yahoo.com matt parker alias dgeorg@yahoo.com matt parker alias eric vonlindtherzog@yahoo.com matt parker alias eric van lint hout@yahoo.com the date of birth of matt parker is 13 9 65 > matt parker alias erik von lunsen@yahoo.com matt parker alias peace now@yahoo.com matt parker alias evonlunsenherzog@yahoo.com matt parker alias bestdayisnow@yahoo.com matt parker alias phrozencrew@yahoo.com matt parker alias ericvonlindtherzog@yahoo.com matt parker alias ericvanlunsen hout@yahoo.com matt parker alias mattparker@yahoo.com matt parker alias rage@yahoo.com matt parker was > born on 09 13 1965 matt parker alias erik vanlindt@yahoo.com matt parker alias tanyadochenkova@yahoo.com matt parker infects computers with a nasty trojan virus matt parker alias e vonlindt herzog@yahoo.com matt parker alias eric vanlindt@yahoo.com matt parker alias erikvonlunsen herzog@yahoo.com matt parker alias erikvan lindt herzog@yahoo.com matt parker alias erik vonlindt hout@yahoo. > com matt parker alias nadejdazaitzeva@yahoo.com matt parker will be busted sentenced jailed and fried matt parker alias c cct@yahoo.com matt parker alias erick vanlindt hout@yahoo.com matt parker alias ericvonlindt@yahoo.com one of the dismissed university employees committed suicide matt parker alias robertmiller@yahoo.com matt parker alias g jones@yahoo.com matt parker alias erick > lunsen@yahoo.com matt parker alias e vanlindtherzog@yahoo.com matt parker alias ericvan lint hout@yahoo.com matt parker alias erikvan lint@yahoo.com matt parker alias erick vonlint herzog@yahoo.com matt parker alias erick von lint@yahoo.com matt parker alias erikvan lindthout@yahoo.com matt parker alias eric van lint@yahoo.com matt parker alias erikvan lint hout@yahoo.com matt parker > alias erik von lunsenhout@yahoo.com matt parker alias tanjadchenka@yahoo.com matt parker alias evan linthout@yahoo.com matt parker is a filthy liar and libeler that manipulates the public opinion matt parker alias erik van lindt hout@yahoo.com matt parker alias erikvanlindtherzog@yahoo.com matt parker alias eric vanlint hout@yahoo.com matt parker of rainypasslodge.com supports illegal > the date of birth of matt parker is september 13 1965 matt parker alias ericvan lindt@yahoo.com matt parker alias erik vonlindt@yahoo.com matt parker alias ladiest@yahoo.com matt parker alias peacenow@yahoo.com matt parker alias erik vanlint@yahoo.com matt parker alias e vonlunsenhout@yahoo.com matt parker alias bestday is now@yahoo.com matt parker alias evon lindt@yahoo.com matt parker > alias erikvon lindt@yahoo.com in reality his name is matthew parker from cottage grove oregon and that is that matt parker alias evon lindt hout@yahoo.com matt parker hacks the email of his clients and violates the confidentiality of mail matt parker alias evanlint hout@yahoo.com change country of residence if personal data is captured by matt parker the date of birth of matt parker is > september 13 65 matt parker alias ericvon lindt hout@yahoo.com matt parker alias ericvon lunsenherzog@yahoo.com the scam site eu%72obride%73.com is owned by the pervert matt parker from cottage grove oregon matt parker alias ericvon lintherzog@yahoo.com matt parker alias tania dochenkova@yahoo.com matt parker alias supermachines@yahoo.com matt parker was born on 09 13 65 matt parker alias > ericvan lintherzog@yahoo.com matt parker alias tatiana dochenkova@yahoo.com matt parker alias ericvonlint hout@yahoo.com matt parker alias ericvan lunsen hout@yahoo.com matt parker alias erik van lindthout@yahoo.com never submit true personal data to eu%72obride%73.com matt parker alias evon linthout@yahoo.com matt parker alias ann parker@yahoo.com matt parker alias erik vonlunsen > herzog@yahoo.com matt parker alias gaap@yahoo.com matt parker alias e van lunsen hout@yahoo.com matt parker alias e vonlindthout@yahoo.com matt parker alias erik vonlindthout@yahoo.com matt parker alias erick vanlint hout@yahoo.com matt parker alias eric vanlint herzog@yahoo.com matt parker alias grootaap@yahoo.com damn matt parker and let his soul burn in hell till it freezes over matt > parker alias ericvanlindthout@yahoo.com matt parker alias phillip crew@yahoo.com matt parker alias evan lint hout@yahoo.com matt parker alias taniadchenka@yahoo.com matt parker alias matt parker@yahoo.com matt parker alias michelle@yahoo.com matt parker alias evonlunsenhout@yahoo.com matt parker alias evlh@yahoo.com matt parker alias e vanlunsenhout@yahoo.com matt parker alias erick > vonlindt@yahoo.com matt parker alias anja parker@yahoo.com matt parker alias evl@yahoo.com matt parker alias erikvon lindthout@yahoo.com matt parker alias eric vanlindt hout@yahoo.com matt parker alias eric vonlunsen hout@yahoo.com matt parker alias e vonlint@yahoo.com matt parker illicitly publishes personal data that he steals from hacked mailboxes matt parker alias erik lunsen@yahoo. > com matt parker alias erik von lunsen 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matt parker alias evan lindt hout@yahoo.com === Subject: Re: Tangent to a surface > If a curve(c) is defined by interpolating between two vectors (a,b) > for n E r+ 0<=n<=1, for example using this formula: > c = a * n^2 + b * (1-n)^2 > And a surface(s) is interpolated between two curves (c1,c2) for m E r+ > 0<=m<=1, for example using this formula: > s = c1 * m^2 + c2 * (1-n)^2 > The formulas needn't take this form but have a similar input/output, > now the question: > If a line starts at vector (v), what is the relationship of n to m for > which a tangent from s(n,m) passes through v? So you want to know if a point v lies in the tangent plane to surface s for some value of m,n? Or have I misunderstood? - Suppose this happens at the particular values m=m0, n=n0 (as yet unknown). - So, you will need to find the equation of the tangent plane to the surface s(m,n) at the values m=m0, n=n0. - Recall the equation of a plane has the form x . N = x0 . N where: . = dot product, x0 = any point known to lie in plane. N = normal vector to the plane - s(m0,n0) lies in its own tangent plane. - Partial differentiation of s will give 2 tangent vectors. You can generate a normal vector N from these two. - That is enough info to find the equation of the tangent plane to s at m=m0, n=n0. - So v lies in the tangent plane of s at m=m0, n=n0 if and only if it satisfies the equation of the plane you just found. - Now you've got to see if this holds for any of your allowed range of values of m0 and n0. Hope that helps. Andy (Is this homework?) (NB: Be warned that in general there are circumstances where the an m,n type parameterisation (such as you described) may not lead to two linearly independent tangent vectors by the differentiation step and the method would fail then. ) === Subject: Re: Tangent to a surface Sorry it is a bit har to represent the math on a computer, if this does not read well, just say, also if anyone is looking into it i'd like to know so I can discuss how they are going about it or even know it's being considered. Cacoyi :D === Subject: Re: Golf--shooting your age by 144.118.94.18 (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) id i88Cjsb10291; >At the age of 73, last week Ishot 72 on a regulation golf course >(rated 134)--what are the odds? .on sept. 6th, I shot 74 on a par 72 course on mmy 74th birthday. What are the odds or how many do it each year? === Subject: Re: Meschach math library > I tried to compile Meschach using Visual Studio.Net 2k3 but i didn't > succeed :(, so i used Linux comiler. Now i hope that i'll be able to > compile C code under Windows using your compiler. The compiled .lib is in the current distribution, together with the docs. If you want the source code just mail me jacob === Subject: Re: S-Plus by 144.118.94.18 (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) id i88F3t224933; Does anyone know how to write an S-Plus scripts performing the tasks performed by the Excel VLOOKUP function ? Laurent === Subject: Negative Eigenvalues and Canonical Analisys. by 144.118.94.18 (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) id i88F3up24961; Hello! I am working in an algorithm for features reduction and I am using, among other things, the Canonical Variate Analisys. In this task, sometimes, we obtained negative eigenvalues from the Matrix formed by inv(W)B. Initially, my coworker and I ignored these negatives eigenvalues, however, the results of the new space generated by the Canonical Variates have not been so good as it has when we used that values. But if the order of the features are changed, the negative eigenvalues turns positive. My question is: the literature uses the term 'largest eigenvalue'. May we use the negative values, if the absolute values are taken or only positive values are the ones used? I thank you for any attention! === Subject: Filter Design Toolbox, sqrt fillters, Kalman filters I am trying to find a toolbox with a square root implementation of the kalman filter. The closest I found was the filter design toolbox. It appears to have an algorithm based on the householder transform and choleskey factorization. However, from the documentation it only appears to be able to identify linear time invariant FIR systems. It is nice that the toolbox simulates the whole filter process but I only want it to give the current estimate of the states and the square root covariance. I also want to be able to supply it with a different linearization each time step. Does anyone know of any better toolboxes or even software libraries in C, Fortran or any other language that can be converted into a MATLAB mex file. Here are some links for the Filter Design Toolbox, > The main page for the toolbox. Note that the package > can > automaically generate the VERLOG for the filter > http://www.mathworks.com/access/helpdesk/help/toolbox/ filterdesign/filterdesi gn.html > Some properties that can be set for adaptive filters in the filter design toolbox > http://www.mathworks.com/access/helpdesk/help/toolbox/ filterdesign/propref6.h tml > documentation > http://www.mathworks.com/access/helpdesk/help/toolbox/ filterdesign/ > householder recursive least squares (RLS) (sqrt filter) http://www.mathworks.com/access/helpdesk/help/toolbox/ filterdesign/adaptfilt .hrls.html BTW why do you have to create an account to find pricing information. === Subject: Re: Filter Design Toolbox, sqrt fillters, Kalman filters > I am trying to find a toolbox with a square root implementation of the > kalman filter. The closest I found was the filter design toolbox. It > appears to have an algorithm based on the householder transform and > choleskey factorization.[SNIP] You might wish to summarize the specifics of your problem and post to comp.dsp . I'm new to DSP so can not give specific info. I've found the group helpful. === Subject: Combinatorial Problem by 144.118.94.18 (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) id i88HNpC06589; I am trying to solve a problem for one week so far, but have fail in everyway so far. So I am in search for help. Here is the problem. I will use an example to ilustrate. We have a group of 11 numbers arranged in 5 groups. Lets called Group A. So C(11,5) = 462 possible elements. If I have another group of 6 elements, lets call Group B. How many of this elements will be in group A, where at least 4 of the elements are the same ? After a lot of research and test I figure out it could be done by the following formula: C(6,5) x C(11-6,5-5) + C(6,4) x C(11-6, 5-4) Since the 6 elements can be arranged in groups of 5 and 4 and both will have at least 4 elements equals. Solving equation we would have: 6 x 1 + 15 x 5 = 6 + 75 = 81 elements That is the easy part that I figure out. If I get now another group of 6 elements, lets call Group C, where 4 elements of this group are exactly the same of group B. How many of this elements will be in group A, and group B at the same time ? Can anyone help me figure this problem out ?