What is a continuous extension?
Continuous Extension In this video, I define the concept of a continuous extension of a function and show that a function has a continuous extension if and only if it is uniformly continuous. This explains yet again why uniform continuity is so awesome Uniform Continuity: https://youtu.b
From playlist Limits and Continuity
Introduces notation and formulas for exponential growth models, with solutions to guided problems.
From playlist Discrete Math
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
Linear functions -- Elementary Linear Algebra
This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.
From playlist Elementary Linear Algebra
Introduction to Exponential Functions in the Form f(x)=ab^x - Part 1
This video introduces exponential growth and exponential decay functions in the form y=ab^x. http://mathispower4u.com
From playlist Introduction to Exponential Functions
Applying Exponential Models // Math Minute [#34] [ALGEBRA]
Exponential functions work a lot like linear functions. There are typically two parameters that guide the use of the exponential function: the initial value (like the y-intercept of a linear function) and the factor of growth (like the slope of a linear function). There are some additional
From playlist Math Minutes
Algebra Ch 46: Exponential Function (1 of 12) What is an Exponential Function?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn an exponential function is a function in the form of f(x)=b^x where b=base (b(greater than)0, and b does not=1) and x=e
From playlist THE "WHAT IS" PLAYLIST
Galois theory: Normal extensions
This lecture is part of an online graduate course on Galois theory. We define normal extensions of fields by three equivalent conditions, and give some examples of normal and non-normal extensions. In particular we show that a normal extension of a normal extension need not be normal.
From playlist Galois theory
Visual Group Theory, Lecture 6.5: Galois group actions and normal field extensions
Visual Group Theory, Lecture 6.5: Galois group actions and normal field extensions If f(x) has a root in an extension field F of Q, then any automorphism of F permutes the roots of f(x). This means that there is a group action of Gal(f(x)) on the roots of f(x), and this action has only on
From playlist Visual Group Theory
Title: Parameterized logarithmic equations and their Galois theory
From playlist Applications of Computer Algebra 2014
Galois theory: Examples of Galois extensions
This lecture is part of an online graduate course on Galois theory. We give several examples of Galois extensions, and work out the correspondence between subfields and subgroups explicitly.
From playlist Galois theory
CTNT 2020 - Infinite Galois Theory (by Keith Conrad) - Lecture 3
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Infinite Galois Theory (by Keith Conrad)
Galois theory: Separable extensions
This lecture is part of an online graduate course on Galois theory. We define separable algebraic extensions, and give some examples of separable and non-separable extensions. At the end we briefly discuss purely inseparable extensions.
From playlist Galois theory
Christopher Schafhauser: On the classification of nuclear simple C*-algebras, Lecture 4
Mini course of the conference YMC*A, August 2021, University of Münster. Abstract: A conjecture of George Elliott dating back to the early 1990’s asks if separable, simple, nuclear C*-algebras are determined up to isomorphism by their K-theoretic and tracial data. Restricting to purely i
From playlist YMC*A 2021
This lecture is part of an online graduate course on Galois theory. As an application of Galois theory, we prove Gauss's theorem that it is possible to construct a regular heptadecagon with ruler and compass.
From playlist Galois theory
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 5
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
What is an enlargement dilation
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 4
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