Computational group theory | Permutation groups
In mathematics, especially the field of computational group theory, a Schreier vector is a tool for reducing the time and space complexity required to calculate orbits of a permutation group. (Wikipedia).
What is a Four-Vector? Is a Spinor a Four-Vector? | Special Relativity
In special relativity, we are dealing a lot with four-vectors, but what exactly is a four-vector? A four-vector is an object with four entries, which get transformed and changed in a very special way after we change our frame of reference. More precisely, a four-vector transforms like a (1
From playlist Special Relativity, General Relativity
Scatter plots using Plotly for R
This videos show the creation of scatter plots using Plotly for the R programming language. The files are available online. R-markdown: https://github.com/juanklopper/Plotly-for-R RPubs: http://rpubs.com/juanhklopper/scatter_plots_using_plotly
From playlist Statistics
What is a vector? We gently introduce the i and j basis vectors and the idea of a column vector is presented. The algebra of addition, subtraction and scalar multiplication is discussed. Free ebook Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Take a sh
From playlist Introduction to Vectors
SCATTERPLOTS: Visualize Relationships Between Two Scale Variables (4-4)
Scatter Diagram (a.k.a. Scatterplot) is a graph used with correlation and regression. It summarizes the relationship between two quantitative variables. Trendline (a.k.a. Regression line) approximates the relationship between the two variables. A pair of scale variables, X and Y, are plott
From playlist Data Visualization for Variables in Statistics (WK 4 - QBA 237)
Galois theory: Artin Schreier extensions
This lecture is part of an online graduate course on Galois theory. We describe the Galois extensions with Galois group cyclic of order p, where p is the characteristic of the field. We show that these are generated by the roots of Artin-Schreier polynomials. Minor correction: Srikanth
From playlist Galois theory
Steven Galbraith, Isogeny graphs, computational problems, and applications to cryptography
VaNTAGe Seminar, September 20, 2022 License: CC-BY-NC-SA Some of the papers mentioned in this talk: Ducas, Pierrot 2019: https://link.springer.com/article/10.1007/s10623-018- 0573-3 (https://rdcu.be/cVYrC) Kohel 1996: http://iml.univ-mrs.fr/~kohel/pub/thesis.pdf Fouquet, Morain 2002: ht
From playlist New developments in isogeny-based cryptography
Jacob Lurie: A Riemann-Hilbert Correspondence in p-adic Geometry Part 2
At the start of the 20th century, David Hilbert asked which representations can arise by studying the monodromy of Fuchsian equations. This question was the starting point for a beautiful circle of ideas relating the topology of a complex algebraic variety X to the study of algebraic diffe
From playlist Felix Klein Lectures 2022
Building Expanders in Three Steps - Amir Yehudayoff
Amir Yehudayoff Technion-Israel; Institute for Advanced Study February 23, 2012 The talk will have 2 parts (between the parts we will have a break). In the first part, we will discuss two options for using groups to construct expander graphs (Cayley graphs and Schreier diagrams). Specifica
From playlist Mathematics
15.5: Lagrange Multipliers Example - Valuable Vector Calculus
Explanation of Lagrange multipliers: https://youtu.be/bmTiH4s_mYs An example of the actual problem-solving techniques to find maximum and minimum values of a function with a constraint using Lagrange multipliers. Full Valuable Vector Calculus playlist: https://www.youtube.com/playlist?li
From playlist Valuable Vector Calculus
Multivariable Calculus | The notion of a vector and its length.
We define the notion of a vector as it relates to multivariable calculus and define its length. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
Desmos Copy and Paste Data Issue
I am loving the desmos scavenger hunt and am learning so much! https://docs.google.com/document/d/1_ZqgHZg41LqteL8wDFgmtdP_twlwEDZ9Ma4cP-HsSqU/edit I just finished intermediate #6 and encountered an issue. Wondering what is happening here.
From playlist desmos
How Small Can a Group or a Graph be to Admit a Non-Trivial Poisson Boundary? - Anna Erschler
Group Theory/Dynamics Talk Topic: How Small Can a Group or a Graph be to Admit a Non-Trivial Poisson Boundary? Speaker: Anna Erschler Affiliation: École normale supérieure Date: December 9, 2022 We review results about random walks on groups, discussing results and conjectures relating c
From playlist Mathematics
Visualization of tensors - part 1
This video visualizes tensors. It shows some introduction to tensor theory and demonstrates it with the Cauchy stress tensor. Future parts of this series will show more theory and more examples. It talks about the term 'tensor' as used in physics and math. In the field of AI the term 'te
From playlist Animated Physics Simulations
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Galois theory for Schrier graphs: bounded automata by Hemant Bhate
PROGRAM DYNAMICS OF COMPLEX SYSTEMS 2018 ORGANIZERS Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE: 16 June 2018 to 30 June 2018 VENUE: Ramanujan hall for Summer School held from 16 - 25 June, 2018; Madhava hall for W
From playlist Dynamics of Complex systems 2018
This shows an small game that illustrates the concept of a vector. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com
From playlist Chapter 2 - Vectors
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 1
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
A short refresher on vectors. Before I introduce vector-based functions, it's important to look at vectors themselves and how they are represented in python™ and the IPython Notebook using SymPy.
From playlist Life Science Math: Vectors
Derek Holt: Algorithms for finitely presented groups II
The lecture was held within the framework of the Hausdorff Trimester Program: Logic and Algorithms in Group Theory. Abstract: This short course of three lectures will be on the fundamental algorithms for computing in groups that are defined by a finite presentation G=⟨X∣R⟩. For example, t
From playlist HIM Lectures: Trimester Program "Logic and Algorithms in Group Theory"