# Maths

## Tracker Video Analysis and Modeling Tool for Physics Education

What is Tracker? Tracker is a free video analysis and modeling tool built on the Open Source Physics (OSP) Java framework. It is designed to be used in physics education. Tracker video modeling is a powerful new way to combine videos with computer modeling. For more information see Particle Model Help or AAPT Summer Meeting posters Video Modeling (2008) and Video Modeling with Tracker (2009).

## GeoGebraTube

Why Most Published Research Findings Are False Summary There is increasing concern that most current published research findings are false. The probability that a research claim is true may depend on study power and bias, the number of other studies on the same question, and, importantly, the ratio of true to no relationships among the relationships probed in each scientific field. In this framework, a research finding is less likely to be true when the studies conducted in a field are smaller; when effect sizes are smaller; when there is a greater number and lesser preselection of tested relationships; where there is greater flexibility in designs, definitions, outcomes, and analytical modes; when there is greater financial and other interest and prejudice; and when more teams are involved in a scientific field in chase of statistical significance. Simulations show that for most study designs and settings, it is more likely for a research claim to be false than true.
Topology: More on Algebra and Topology | Mathematics and Such We’ve arrived at the domain where topology meets algebra. Thus we have to proceed carefully to ensure that the topology of our algebraic constructions are well-behaved. Let’s look at topological groups again. Our first task is to show that the topologies of subgroups and quotient groups commute. Proposition 1 .
I am in the process of writing a longer post on Galois Theory (see here ), and one of the central concepts is that of a normal subgroup . We all know the definition (and their equivalents) from classes/books, but anyone who likes to ‘see their mathematics’ is left with the question: … but what do they look like? In this post I give a few different interpretations of the standard definitions, and go some way to explaining why it is difficult to answer this question in concrete terms. Spoiling the punchline a bit, it seems to me that problem is actually the other way round: most of the groups that you have an intuition about are normal , so the question is really when is a group not normal ? The standard definitions What do normal subgroups look like? | Fermat's Last Spreadsheet
Normal Subgroups and Group Quotients [ This corresponds to approximately chapter V of the old blog . ] We’ve already seen that if H ≤ G is a subgroup, then G is a disjoint union of (left) cosets of H in G . Casual Introduction to Group Theory (5) | Mathematics and Such
Topology Atlas: Questions in Topology Topology Atlas || What's New || Search and List What is Topology? a selection of responses from topologists Topology Q+A Board a bulletin board Ask a Topologist , Ask An Algebraic Topologist , Ask An Algebraist , Ask An Analyst , Homework Help , Research in Topology Problems in Topology research problems, incuding Problems from Topology Atlas, Problems from Topology Atlas Invited Contributions, Collections of Problem, Open Problems in Topology, Topology Proceedinngs Conference Reports, Questions and Answers in General Topology.
Ralph L. Wojtowicz
The Regression Fallacy Alias: The Regressive Fallacy Source: Robert Todd Carroll, "Regressive Fallacy" , The Skeptic's Dictionary Etymology: To "regress" is to go back, or revert to an earlier or more primitive state. The statistical term "regression" seems to have been first used by Francis Galton, Charles Darwin's cousin, to refer to the phenomenon on which the regression fallacy is based.
Examples
Statistics in a Nutshell: A Desktop Quick Reference - Sarah Boslaugh, Dr. Paul Andrew Watters
Asymptotic Statistics - A. W. van der Vaart
Two processing systems were used to clean wafers. The following data represent the (coded) particle counts. The null hypothesis is that there is no difference between the central tendencies of the particle counts; the alternative hypothesis is that there is a difference. The solution shows the typical kind of output software for this procedure would generate, based on the large sample approximation. For U = 40.0 and E[ U ] = 0.5( n 1 )( n 2 ) = 60.5, the test statistic is 7.3.5. Do two arbitrary processes have the same central tendency?
How to Analysis Data with Low Quality or Small Samples, Nonparametric Statistics General Purpose Brief review of the idea of significance testing. To understand the idea of nonparametric statistics (the term nonparametric was first used by Wolfowitz, 1942) first requires a basic understanding of parametric statistics. Elementary Concepts introduces the concept of statistical significance testing based on the sampling distribution of a particular statistic (you may want to review that topic before reading on). In short, if we have a basic knowledge of the underlying distribution of a variable, then we can make predictions about how, in repeated samples of equal size, this particular statistic will "behave," that is, how it is distributed.
Statistics Glossary - nonparametric methods Nonparametric Tests Nonparametric tests are often used in place of their parametric counterparts when certain assumptions about the underlying population are questionable. For example, when comparing two independent samples, the Wilcoxon Mann-Whitney test does not assume that the difference between the samples is normally distributed whereas its parametric counterpart, the two sample t-test does.
Vedic Math ~ VedantaTree - The Tree of Knowledge Earlier we discussed " Squaring numbers near base " and " General Squaring through Duplex Process " and now we will find out how to calculate the square root of numbers. To understand this, let us first learn basic rules for finding the square root. (1).
En esta sección se incluyen todos aquellos temas que van más allá de la docencia teórico/práctica planteada en clases y que, no obstante, tienen un valioso valor añadido como soporte de consulta para la mejora de la enseñanza de la criptografía. La información puede ser de Libre Distribución en este sitio Web o bien de Acceso en el sitio Web de su autor. ACTAS CONGRESO CIBSI Y TALLER TIBETS Congreso Iberoamericano de Seguridad Informática CIBSI y Taller Iberoamericano de Enseñanza e Innovación Educativa en Seguridad de la Información TIBETS. Títulos de Proyectos o Tesis Fin de Carrera desarrollados por alumnos en temas de criptografía. INVESTIGACION
Course Catalog What our students say: "The course was an interesting and delightful excursion into data mining techniques; I thoroughly enjoyed seeing the concepts come to life in the examples. It was a great course." B. Griffin
0xDE One of the new papers on arXiv this week looks to me like an example of exactly what theoretical algorithms research should aim for: simple algorithms with nontrivial analysis, providing new and practical solutions to an important problem in which previous solutions were unsatisfactory. Unfortunately, the previous solutions were only unsatisfactory in practice, while from the theoretical point of view they were optimal; when this happens, it tends to make papers like this quite difficult to publish in algorithms conferences. The paper: "The Power of Simple Tabulation Hashing", by Mihai Pătraşcu and Mikkel Thorup, arXiv:1011.5200 . The problem: hashing algorithms are designed to work well with hash functions that are truly random (chosen uniformly from all possible functions that map the keys to be stored in the hash table into indices). But they are actually used with functions that are very nonrandom.
KNK103: The Crystals of Mt. Zeta - Kali & the Kaleidoscope Summary : An expedition to conquer the greatest unsolved problem in mathematics - the Riemann Hypothesis . By amateurs across the world. A new online workshop by Kali & the Kaleidoscope. Starts Oct. 19, 2011.
Math Problems: Group Theory
Lecture Notes Algebraic Geometry
Jacob Fox

## MathOverflow

alquiler

Mondrian - Interactive Statistical Graphics in JAVA
rsession - Java wrapper to R
ROCR: Classifier Visualization in R
addi - Matlab / Octave clone for Android

## Free Math Help and Free Math Videos Online at MathVids.com

J Home
po.org - MathExpo.EsHomePage
Constructing our lives: the mathematics of engineering

## Sage: Open Source Mathematics Software

4 sitios web para encontrar cursos universitarios gratis
20 sitios para ver vídeos educativos gratis

## Canal de MIT

Strongly Connected Components Episode 27: David Spiegelhalter « ACME Science
Mathematics Illuminated | Unit 10
Philosophy of Real Mathematics: Information Geometry and Machine Learning
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GAP System for Computational Discrete Algebra
Theory and Applications of Categories
John Baez's Stuff

## Terry Tao's Blog

The n
The polymath blog
The Unapologetic Mathematician