Cryptographic attacks | Summary statistics for contingency tables | Cryptography
In cryptography, coincidence counting is the technique (invented by William F. Friedman) of putting two texts side-by-side and counting the number of times that identical letters appear in the same position in both texts. This count, either as a ratio of the total or normalized by dividing by the expected count for a random source model, is known as the index of coincidence, or IC for short. Because letters in a natural language are not distributed evenly, the IC is higher for such texts than it would be for uniformly random text strings. What makes the IC especially useful is the fact that its value does not change if both texts are scrambled by the same single-alphabet substitution cipher, allowing a cryptanalyst to quickly detect that form of encryption. (Wikipedia).
Statistics 5_1 Confidence Intervals
In this lecture explain the meaning of a confidence interval and look at the equation to calculate it.
From playlist Medical Statistics
Ex: Find the Mean and Median of a Data Set Given in a Frequency Table (even)
This video explains how to determine the mean and median of a data set given in a frequency table. There is an even number of data values. http://mathispower4u.com
From playlist Statistics: Describing Data
EFFECT Size for Correlation: Coefficient of Determination (7-3)
The Correlation Coefficient is also an Effect Size. An r value can be squared to calculate an effect size. The r-squared is the Coefficient of Determination, expressing the proportion of variance in the dependent variable (Y) explained by variance in the independent variable (X). The rever
From playlist Correlation And Regression in Statistics (WK 07 - QBA 237)
85 Years of Nielsen Theory: Coincidence Points
Part 3 of a 3 part series of expository talks on Nielsen theory I gave at the conference on Nielsen Theory and Related Topics in Daejeon Korea, June 27, 2013. Part 1- Fixed Points: http://youtu.be/1Ls8mTkRtX0 Part 3- Coincidence Points: http://youtu.be/Wu2Cr3v_I44 Chris Staecker's intern
From playlist Research & conference talks
How to Find Pearson's Correlation Coefficient (by Hand)
How to solve the formula for Pearson's Correlation Coefficient by hand, step by step. This is the long way to solve the formula, but you'll sometimes be asked to do this in an elementary statistics class.
From playlist Correlation
Intro to Nielsen fixed point theory
A talk given by Chris Staecker at King Mongkut's University of Technology Thonburi, Bangkok, Thailand, on October 10 2019. Covers basic definitions and results of Nielsen fixed point theory, plus a few minutes about Nielsen-type theories for coincidence and periodic points. Should be und
From playlist Research & conference talks
Cryptanalysis of Classical Ciphers
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
Scatterplots, Part 3: The Formula Behind the Correlation Coefficient
We use the Scatterplots & Correlation app to explain the formula behind the correlation coefficient. The app allows you to find and plot the z-scores, showing the 4 quadrants in which points on the scatterplot can fall.
From playlist Chapter 3: Relationships between two variables
Powered by https://www.numerise.com/ An introduction to basic index notation www.hegartymaths.com http://www.hegartymaths.com/
From playlist Index notation
Zhizhang Xie: A relative index theorem for incomplete manifolds and Gromov’s conjectures on PSC
Talk by Zhizhang Xie in the Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/a-relative-index-theorem-for-incomplete-manifolds-and-gromovs-conjectures-on-positive-scalar-curvature/ on May 7, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
Markus Pflaum: The transverse index theorem for proper cocompact actions of Lie groupoids
The talk is based on joint work with H. Posthuma and X. Tang. We consider a proper cocompact action of a Lie groupoid and define a higher index pairing between invariant elliptic differential operators and smooth groupoid cohomology classes. We prove a cohomological index formula for this
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Dong Zhang (7/27/22): Higher order eigenvalues for graph p-Laplacians
Abstract: The spectrum of the graph p-Laplacian is closely related to many properties of the graph itself. In particular, when p=1, the second eigenvalue coincides with the Cheeger constant. The p-Laplacian, for p greater than 1 and less than 2, can be seen as an extrapolation between the
From playlist Applied Geometry for Data Sciences 2022
Spatial Modes of Light in Turbulence and their Quantum Effects by Shashi Prabhakar
DISCUSSION MEETING STRUCTURED LIGHT AND SPIN-ORBIT PHOTONICS ORGANIZERS: Bimalendu Deb (IACS Kolkata, India), Tarak Nath Dey (IIT Guwahati, India), Subhasish Dutta Gupta (UOH, TIFR Hyderabad, India) and Nirmalya Ghosh (IISER Kolkata, India) DATE: 29 November 2022 to 02 December 2022 VE
From playlist Structured Light and Spin-Orbit Photonics
SPSS for Beginners 5: Correlations
Updated video: SPSS for Beginners – Correlation https://youtu.be/6EH5DSaCF_8 This video demonstrates how to calculate correlations in SPSS and how to interpret correlation matrices.
From playlist RStats Videos
CTNT 2022 - An Introduction to Galois Representations (Lecture 2) - by Alvaro Lozano-Robledo
This video is part of a mini-course on "An Introduction to Galois Representations" that was taught during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - An Introduction to Galois Representations (by Alvaro Lozano-Robledo)
Axioms for the fixed point index of an n-valued map
A research talk I gave at KU Leuven Kulak in Kortrijk, Belgium on June 4, 2019, at the conference on Nielsen Theory and Related Topics. The first 20 minutes is mostly about the Euler characteristic, and should be understandable to all mathematicians. The audience was other researchers in t
From playlist Research & conference talks
More Standard Deviation and Variance of Joint Discrete Random Variables
Further example and understanding of Joint Discrete random variables and their standard deviation and variance
From playlist Unit 6 Probability B: Random Variables & Binomial Probability & Counting Techniques
Ex: Find the Mean and Median of a Data Set Given in a Frequency Table (odd)
This video explains how to determine the mean and median of a data set given in a frequency table. There is an odd number of data values. http://mathispower4u.com
From playlist Statistics: Describing Data
Fin Math L7: The Wang transform and the Lorenz curve in Black-Scholes-Merton
Welcome to Financial Mathematics. In this lesson we continue our discussion about the Wang transform and we also introduce an interesting connection with the Lorenz curve, a very useful instrument originally developed in the inequality studies' literature. As we shall see, the use of Wang
From playlist Financial Mathematics