... If a triangle has sides of length ( a,b,c ), with sides ( a,b ) enclosing an angle of 90 degrees ("right angle"), then . ... 100 ? ... A diagonal cut divides it into two right-angled triangles with short sides a and b , and the area of such a triangle is therefore (1/2) ab . Now look at the square on the left constructed out of four ( a,b,c ) triangles. ... As the drawing on the right shows, that area can be divided into 4 triangles like the ones before, plus a small square of side ( a? b ). ...

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• Identities

... If a triangle has sides of length ( a,b,c ), with sides ( a,b ) enclosing an angle of 90 degrees ("right angle"), then . ... A diagonal cut divides it into two right-angled triangles with short sides a and b , and the area of such a triangle is therefore (1/2) ab . Now look at the square on the left constructed out of four ( a,b,c ) triangles. ... As the drawing on the right shows, that area can be divided into 4 triangles like the ones before, plus a small square of side ( a-b ). ...

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• Identities

. The Virial Theorem of Clausius, which relates the average kinetic and potential energies of a dynamical system, is a powerful tool in astrophysics with a wide range of applications. I will show how the scalar form of the virial equilibrium equation is derived from first principles and demonstrate its utility in explaining the heating of contracting bodies, weighing supermassive black holes, and measuring the distances to far-flung galaxies.

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... Lecture 1 (124K) | Lecture 2 (142K) | Lecture 3 (117K) | Lecture 4 (169K) | Lecture 5 (88K) . Lecture 6 (113K) | Lecture 7 (68K) | Lecture 8 (61K) | Lecture 9 (60K) | Lecture 10 (71K) ] . ... Периодичность Ботта (элементарное доказательство теоремы периодичности , периодичность и бесконечномерная унитарная группа) . ... Эллиптические операторы и K-теория (операторы, символы, теорема конечности, проблема индекса) . ...

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• Dubna-2005: Generalized VdW theorem
• Computability, logic, and Goedel's theorems (Fall 2007)
• Complex analisys and Riemann theorem (Spring 2010)

... Posts tagged ?central limit theorem? ... Tags: Bayesian , central limit theorem , confidence bounds , error bar , Frequentist , highest posterior density , HPD , likelihoodist , sigma . ... 3 Comments . ... Entries RSS . ... Algorithms arXiv Astro Bad AstroStat Bayesian CHASC Cross-Cultural Data Processing Fitting Frequentist Galaxies gamma-ray High-Energy Imaging Jargon Job Languages MC MCMC Meta Methods Misc News Nuggets Objects Optical Physics Quotes Spectral Stars Stat Timing Uncertainty X-ray ....

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• The AstroStat Slog Nyquist-Shannon sampling theorem
• The AstroStat Slog Bayes Theorem
• Comments on: Provocative Corollary to Andrew Gelman?s Folk Theorem By: hlee By:

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• The Isothermal Sphere

... One of the most widely used tools of Fourier analysis is the Parseval theorem. It enables the experimentalist to view how the `energy' in the signal is distributed among frequencies. The Fast Fourier Transform (FFT) algorithms have made power spectra one of the obvious diagnostics tools during data acquisition, and energy maps are a versatile alternative. ... The result is an energy map (Fig. 9), showing the distribution of energy corresponding to the wavelet map (Fig. ...

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Next: Multiresolution Analysis Up: The discrete wavelet Previous: The discrete wavelet . ... The discrete wavelet transform (DWT) can be derived from this theorem if we process a signal which has a cut-off frequency. ... Usually the wavelet function has no cut-off frequency and it is necessary to suppress the values outside the frequency band in order to avoid aliasing effects. We can work in Fourier space, computing the transform scale by scale. ...

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• Robust fits and bad points

... 061 267 36 56 ґ Mircea.Trif@unibas.ch Exercise 1*. Point Group Td . Consider the full point a) Find all elements of b) Determine the order c) Find the classes of T group of a tetrahedron (Td ). the group and determine the order of the group. of the elements of Td . ... Great Orthogonality theorem. Consider irreducible representations of the point group C3v ( : C3v D GL2 (R)). ... Characters I Proof the following theorem: Theorem 1. The character for each element in a class is the same. ...

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• http://www.issp.ac.ru/lnep/bulaev/spintronics/Spintronics-A1.pdf
• Оглавление

... Calculate the missing half of the following transform pairs: f (t ) U (t ) F (s ) Comments Direct integration 1/s t n -1 ( n - 1 )! -at n U (t ) 1/ s Integrate a constant (n-1) times U ( t )e 1 / (s + a ) Direct integration, OR shift theorem U (t ) t n -1 e (n - 1)! -at 1 / (s + a s s + 2 )n Integrate (n-1) times PLUS shift theorem U ( t ) cos t 2 cos t = 1 {e 2 i t +e -i t } } U ( t ) sin t w s + 2 2 sin t = 1 {e 2i i t -e -i t Rachael Padman, rp10001@cam.ac.uk; 20th Jan 2004 ...

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• http://www.mrao.cam.ac.uk/~anthony/latex/Dubrovskiy.ps
• Summary of noise in linear systems

We describe two sets of Planetary Camera data for the same object. One was observed in such a way that it is adequately sampled (according to the Nyquist theorem) while the other was not adequately sampled. ... We show the results of attempting to restore each set of data using both the STSDAS ``Lucy'' and Weir's ``MEM'' routines. Our conclusion: The sampling theorem applies to WF/PC data, Surprise !? ...

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• Finite Dimensional Approximation and Tikhonov Regularization Method
• WFPC Image Restoration and Undersampling Problems
• Conclusions

... SPIN EVOLUTION OF ISOLATED NEUTRON STARS: . ... Discovery of accreting INS's will means that SPINDOWN THEOREM is true. -we consider firstly evolution of spin period of a NS on the accretion stage and predict that its period sec and INS's can be observed as pulsating X-ray sources. -we consider new idea of stochastic acceleration of the very old NS's due to accretion of turbulizated interstellar medium. -last point means that INS can be spin up and spin down with equal probability. ...

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• Eqology

Using the Huygens and Babinet principles van de Hulst [ 11 ] considered the problem of light scattering and extinction by a particle having the size and the refractive index . ... The absorption cross-section is . ... The range of applicability of the anomalous diffraction theory for the scattering amplitude is limited by small angles, however the formules for the cross-sections became good approximations for a wide class of particles. ... This problem for spherical particles was solved by A.Ya. ...

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Blackholes Forum Message . ... Quicksand As Black Hole Model? ... For the hole to be black it must have a fuzzy edge i.e. something one is sinking into (like a black hole is like quicksand that you discover by sinking partly into it?) ... A number of oranges "probes" what it is to be an orange so "black hole" = "number" you might suppose. ... The rest of their body not in the quicksand (i.e. not in the black hole) equates to the "collection of anti-matter near the blackhole"? ... www.astronomy.net . ...

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• Big Bang: Nagging Doubts Remain - an Astronomy Net Bigbang Forum Message

... The frequency and time resolution connected by the (a) Kotelnikov-Shannon theorem (b) Heisenberg uncertainty principle (c) probability density (d) Euler equation 5. The window (Gabor) transform differs from wavelet-transform because (a) the first one doesn't allow to detect the changes of spectrum in time (b) the first one doesn't allow to reconstruct the function from it's decomposition (c) wavelet-transform is continuous (d) the resolution of wavelet-transform is adapted to the frequency 6. ...

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Fourier Theory CASS Radio School Joshua Marvil | ... The Fourier transform and its applications ! ... The goal of this talk is to reinforce key th!eoretical concepts in order to help you better understand applications of Fourier theory Fourier series A generalized series expansion of a function based on the special properties of a set of basis functions ! ... The `reverse' transform: ! ...

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• Introduction
• Programme - Abstract

A place to put all that otherwise usless information which only ever becomes needed during pub quizes. ... However som simple experiments in quantum mechanics can force elementary particles to take more than one route from one place to another. i.e. the one particle splits to go in all the directions available. (please don't e-mail me with any attempts to explain this since I know all about it having just studied quantum physics for 4 years. ...

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... Астронет | ... Семинары | ... Семинар кафедры теории вероятностей механико-математического факультета МГУ . 12.02.2003 . ... New limit theorems on maximal branching processes. http://mech.math.msu.su/probab/seminar.html . Семинар механико-математического факультета МГУ "Группы Ли и теория инвариантов" . ... Общемосковский семинар "Логическое моделирование" (ИПУ РАН) . ... Quantum Integrable Systems and Representation Theory. http://wwwth.itep.ru/mathphys/seminar/seminar.htm . ...

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• Астронет > Полный список лекций, семинаров, конференций(Ближайшие семинары)
• Астронет > Семинары на 2003 год > Астрономия.
• Астронет > Теоретический семинар в институте теоретической физики

... Информация Руководство и преподаватели Савинов Евгений Анатольевич . ... Публикации . ... 2015. ... Савинов Е.А. Копулы преобразований независимости // Обозрение прикладной и промышленной математики. ... Савинов Е.А. , Шатских С.Я. Условные квантили устойчивых распределений в гильбертовом пространстве // X Всероссийский симпозиум по прикладной и промышленной математике, 1-8 октября 2009, Москва, Редакция журнала Обозрение прикладной и промышленной математики, 2009 г., С. 704-705 . ...

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... lcplot (lcplot-1.15) [xmmsas_20030110_1802-5.4.1] . ... We note that no RGS Source Time Series FITS file is specified in [ 1 ]. ... Time intervals all have the same length, the first one is TSTART , TSTART + Binsize*TIMEDEL where TIMEDEL is the bin width read from the file [ 1 ]. ... We have assumed it to be given in seconds. ... The mean, variance, Chi Square, etc are provided with six significant digits. ... The output devices are those of the PGPLOT library. ...

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