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- 18:00, 7 December 2020 Walther MA271 Fall2020 topic30 (hist) [138 bytes] Walther (Talk | contribs) (Created page with "Author: Eli LeChien Title: Sphere Packings Table of Contents: https://www.projectrhea.org/rhea/index.php/Sphere_Packing_0:_Table_of_Contents Category:MA271Fall2020Wa...")
- 00:58, 7 December 2020 Walther MA271 Fall2020 topic18 Introduction (hist) [604 bytes] Goeddes (Talk | contribs) (Created page with "==Introduction== The following pages explain the Haar measure and necessary connected topics such as topology, sets, groups, etc. This article also links to further reading on...")
- 00:53, 7 December 2020 Walther MA271 Fall2020 topic18 References (hist) [877 bytes] Goeddes (Talk | contribs) (Created page with "https://en.wikipedia.org/wiki/Topology https://en.wikipedia.org/wiki/Closed_set https://mathworld.wolfram.com/LimitPoint.html https://mathworld.wolfram.com/BoundedSet.html htt...")
- 00:48, 7 December 2020 Walther MA271 Fall2020 topic18 Haar Measure (hist) [1,479 bytes] Jlepage (Talk | contribs) (Added Haar Measure Page)
- 00:48, 7 December 2020 Walther MA271 Fall2020 topic18 Examples (hist) [730 bytes] Goeddes (Talk | contribs) (Created page with "==Examples== If a Haar measure is done on the topological group <math>{\displaystyle (\mathbb {R} ,+)}</math> (meaning the set is all real numbers and the binary operation is...")
- 00:32, 7 December 2020 Walther MA271 Fall2020 topic18 Applications (hist) [1,181 bytes] Goeddes (Talk | contribs) (Created page with "==Applications== Immediately after publishing the Haar theorem, it was used to solve Hilbert's fifth problem which concerns the characterization of Lie groups. Haar measures a...")
- 00:09, 7 December 2020 ConclusionCBCP (hist) [1,844 bytes] Cpilla (Talk | contribs) (Created page with "Conclusion: While at first, with no background in the field of functional analysis, Banach Spaces seem daunting, complex, relatively useless, and unnecessarily confusing, thi...")
- 00:08, 7 December 2020 BanachSpacesCBCP (hist) [1,537 bytes] Cpilla (Talk | contribs) (Created page with "Banach Spaces: A Banach Space is defined as a “complete normed linear vector space” (sec3.1.pdf) by Purdue Math. Using the definitions previously discussed in this essay,...")
- 00:08, 7 December 2020 ReferencesCBCP (hist) [893 bytes] Cbusa (Talk | contribs) (Created page with "== '''References:''' == Sources/Further Reading: * http://mathonline.wikidot.com/the-norm-of-a-vector * https://www.math.ucdavis.edu/~hunter/book/ch1.pdf * https://ncatlab.or...")
- 23:59, 6 December 2020 CauchySequencesCBCP (hist) [1,319 bytes] Cpilla (Talk | contribs) (Created page with "Image courtesy of Krishnavedala")
- 23:54, 6 December 2020 ApplicationsCBCP (hist) [1,111 bytes] Cbusa (Talk | contribs) (Created page with "== '''Applications:''' == 1. Banach Algebras Banach Spaces are utilized in another concept of mathematics created by the same Stefan Banach: Banach Algebras. To understand t...")
- 23:38, 6 December 2020 Bibliography (hist) [1,649 bytes] Krish176 (Talk | contribs) (Created page with "=Bibliography= Eddy, Sean R. “What Is Bayesian Statistics?” Nature News, Nature Publishing Group, www.nature.com/articles/nbt0904-1177.<br /> Ly, Alexander, et al. “A T...")
- 23:36, 6 December 2020 Fischer's Information Sources (hist) [0 bytes] Krish176 (Talk | contribs) (Created page with "=Bibliography= Eddy, Sean R. “What Is Bayesian Statistics?” Nature News, Nature Publishing Group, www.nature.com/articles/nbt0904-1177.<br /> Ly, Alexander, et al. “A T...")
- 23:15, 6 December 2020 NormedVectorSpaceCBCP (hist) [460 bytes] Cbusa (Talk | contribs) (Created page with "=='''Normed Vector Space:'''== To get closer to the subject of Banach spaces, we now turn the concept of norms into a usable dimensional space. This product of this transform...")
- 23:14, 6 December 2020 Laplace Operator Page 9 2020 (hist) [2,144 bytes] Denneyl (Talk | contribs) (Created page with " Back to main page")
- 23:10, 6 December 2020 More Sources (hist) [847 bytes] Krish176 (Talk | contribs) (Created page with "=Read More= This page is meant to give some more description of common statistical concepts in case you wanted to learn more. [https://www.investopedia.com/ask/answers/021215...")
- 23:01, 6 December 2020 Read More about the topic (hist) [0 bytes] Krish176 (Talk | contribs) (Created page with "https://www.investopedia.com/ask/answers/021215/what-difference-between-standard-deviation-and-variance.asp#:~:text=Standard%20deviation%20is%20a%20statistic,data%20closer%2...")
- 22:56, 6 December 2020 Conclusion to Fisher's Information (hist) [581 bytes] Knematz (Talk | contribs) (Created page with "'''Conclusion''' In conclusion, Fishers Information tells us how much information about an unknown parameter that we can get from a sample. This key concept plays a major rol...")
- 22:54, 6 December 2020 NormsCBCP (hist) [1,192 bytes] Cbusa (Talk | contribs) (Created page with "'''Norms:''' To understand the fundamentals of Banach Spaces, it is important to first visit the concept of norms. A norm is a function that represents vectors as scalars. It...")
- 22:46, 6 December 2020 IntroductionCBCP (hist) [1,399 bytes] Cbusa (Talk | contribs) (Created page with "Introduction")
- 22:19, 6 December 2020 Walther MA271 Fall2020 topic8 (hist) [11,064 bytes] Castanen (Talk | contribs) (Created page with "<big><big>Modular Forms</big></big> ==1. Introduction== German number theorist Martin Eichler said that the five essential operations of mathematics were addition, subtractio...")
- 22:03, 6 December 2020 Walther MA271 Fall2020 topic1: Applications: Other (hist) [2,353 bytes] Merrill8 (Talk | contribs)
- 21:55, 6 December 2020 Bayesian Statistics (hist) [1,408 bytes] Knematz (Talk | contribs) (Created page with "'''Bayesian Statistics''' What is Bayesian Statistics? Bayesian statistics is a theory based on the Bayesian interpretation of probability where probability expresses a degr...")
- 21:54, 6 December 2020 Proof of Fischer's Information (hist) [2,052 bytes] Krish176 (Talk | contribs) (Created page with "=Proof that <math>I(θ) = E[(s(θ;X))^2]</math>= Recall that: <div style="margin-left: 3em;"> <math> \begin{align} \bar Var(Y) &= E[(Y-E(Y))^2]\\ &= \int_a^b g(x) dx \\ &= \fr...")
- 21:42, 6 December 2020 Fisher's Information and Bayesian Statistics (hist) [713 bytes] Knematz (Talk | contribs) (Created page with "'''Bayesian Statistics''' What is Bayesian Statistics? Bayesian statistics is a theory based on the Bayesian interpretation of probability where probability expresses a degr...")
- 21:19, 6 December 2020 Walther MA271 Fall2020 topic18 Topology (hist) [4,389 bytes] Goeddes (Talk | contribs) (Created page with "Is this what I do")
- 21:08, 6 December 2020 ApplicationsMA271Sayers (hist) [981 bytes] Tsayers (Talk | contribs)
- 21:06, 6 December 2020 Fishers Information and Jeffrey's Prior (hist) [1,419 bytes] Knematz (Talk | contribs) (Created page with "'''Jeffrey's Prior''' What is Jeffrey's Prior? Jeffrey's prior, a subset of Bayesian Statistics, is an objective prior distribution for a parameter space. A prior distributi...")
- 20:53, 6 December 2020 ReferencesMA271Sayers (hist) [1,257 bytes] Tsayers (Talk | contribs)
- 20:53, 6 December 2020 MA271Fall2020Walther Topic27 Real World Examples (hist) [1,788 bytes] Sthalor (Talk | contribs) (Created page with "''' == <big>REAL WORLD INSTANCES OF PENROSE TILINGS</big> == ''' Penrose tilings have been seen in nature as well. Notably, some three-dimensional solids have atomic structur...")
- 20:50, 6 December 2020 Fishers Information, Bayesian Statistics, and Jeffrey's Prior (hist) [654 bytes] Knematz (Talk | contribs) (Created page with "'''Fisher Information, Bayesian Statistics, and Jeffrey’s Prior:''' What is Bayesian Statistics? Bayesian statistics is a theory based on the Bayesian interpretation of pr...")
- 20:42, 6 December 2020 FormationClusterAlgebraMA271Sayers (hist) [1,640 bytes] Tsayers (Talk | contribs)
- 20:34, 6 December 2020 MA271Fall2020Walther Topic27 Inflation and Deflation (hist) [3,996 bytes] Sthalor (Talk | contribs) (Created page with "<big>''' ==INFLATION AND DEFLATION== ''' </big> An interesting facet of Penrose tilings is that there are infinitely many of them. This can be proven by examining a phenomen...")
- 20:32, 6 December 2020 Introduction to Fischer's Thereom (hist) [1,571 bytes] Krish176 (Talk | contribs) (Created page with "The formal definition of Fischer Information is: "For random variable X, with a likelihood function <math>L(θ,X)</math> and score function(with respect to parameter θ) <math...")
- 20:20, 6 December 2020 Walther MA271 Fall2020 topic1: Applications: Constructions with a straightedge and compass (hist) [3,037 bytes] Merrill8 (Talk | contribs)
- 20:14, 6 December 2020 ClusterAlgebraMutationsRevisitedMA271Sayers (hist) [2,110 bytes] Tsayers (Talk | contribs)
- 20:07, 6 December 2020 GroupsRingsAndFieldsMA271Sayers (hist) [2,687 bytes] Tsayers (Talk | contribs)
- 19:50, 6 December 2020 QuiverMutationsMA271Sayers (hist) [1,299 bytes] Tsayers (Talk | contribs)
- 19:46, 6 December 2020 GraphsMA271Sayers (hist) [1,067 bytes] Tsayers (Talk | contribs) (Created page with "== Graphs == A graph is simply a structure consisting of “edges” and “vertices.” An edge will connect two vertices together, and if appropriate, the edge may be defin...")
- 19:43, 6 December 2020 MA271Fall2020Walther Topic27 Rules for Generating Penrose Tilings (hist) [5,370 bytes] Sthalor (Talk | contribs) (Created page with "'''RULES FOR CREATING PENROSE TILINGS ''' When creating a Penrose tiling, there are rules to keep in mind when arranging the tiles into their patterns. The exact specificati...")
- 19:31, 6 December 2020 IntroductionMA271Sayers (hist) [1,880 bytes] Tsayers (Talk | contribs)
- 19:28, 6 December 2020 Walther MA271 Fall2020 topic4 (hist) [519 bytes] Tsayers (Talk | contribs) (Created page with "== Introduction == Cluster algebras were originally introduced to aid the study of specific topics in Lie theory, but have since become much more widespread --- discussion of...")
- 18:27, 6 December 2020 Definitions and statistical formulas (hist) [2,141 bytes] Krish176 (Talk | contribs) (created content for basics of the proof)
- 18:24, 6 December 2020 Fisher Information and Frequentist Statistics (hist) [2,203 bytes] Knematz (Talk | contribs) (new page on frequentist)
- 18:02, 6 December 2020 Walther MA271 Fall2020 topic25 (hist) [9,991 bytes] Beers2 (Talk | contribs) (Formatting and testing with Latex equations)
- 17:57, 6 December 2020 Walther MA271 Fall2020 topic18 Groups (hist) [889 bytes] Jlepage (Talk | contribs) (Created Groups Page)
- 17:19, 6 December 2020 Walther MA271 Fall2020 topic18 (hist) [585 bytes] Jlepage (Talk | contribs) (Created table of contents)
- 17:07, 6 December 2020 Walther MA271 Fall2020 topic13 (hist) [484 bytes] Krish176 (Talk | contribs) (Created a page for our project)
- 14:28, 6 December 2020 Walther MA271 Fall2020 topic1: Main Discussion (hist) [7,571 bytes] Merrill8 (Talk | contribs)
- 14:04, 6 December 2020 Applications of Markov Chains (hist) [2,000 bytes] Nlfang (Talk | contribs) (Created page with "Category:Walther MA271 Fall2020 topic2 =Applications of Hidden Markov Chains= Nowadays, algorithmic composition is an emerging interdisciplinary research area that many...")
