Diophantine approximation | Number theory

Auxiliary function

In mathematics, auxiliary functions are an important construction in transcendental number theory. They are functions that appear in most proofs in this area of mathematics and that have specific, desirable properties, such as taking the value zero for many arguments, or having a zero of high order at some point. (Wikipedia).

Video thumbnail

Functions of equations - IS IT A FUNCTION

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

Video thumbnail

(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

Video thumbnail

Determine if the equation represents a function

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

Video thumbnail

Using the vertical line test to determine if a graph is a function or not

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

Video thumbnail

How to determine if an ordered pair is a function or not

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

Video thumbnail

What is an Injective Function? Definition and Explanation

An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez

From playlist Functions

Video thumbnail

Inverse Functions | Functions

In this video, we begin looking at inverse functions. We do not worry about the domain and range of the inverse function, we focus only on finding the rule for the inverse function. The domain and range of the inverse function will be covered in future videos. We do, however, include an ex

From playlist All Videos

Video thumbnail

SYN121 - The Verb in PDE - Part II

In this second of a series of three E-Lectures Prof. Handke discusses the distinction between lexical and auxiliary verbs using the NICE-criteria as well as additional morpho-syntactic criteria. This includes a distinction between primary and secondary auxiliary verbs.

From playlist VLC201 - The Structure of English

Video thumbnail

DeepMind x UCL RL Lecture Series - Deep Reinforcement Learning #2 [13/13]

Research Engineer Matteo Hessel covers general value functions, GVFs as auxiliary tasks, and explains how to deal with scaling issues in algorithms. Slides: https://dpmd.ai/deeprl2 Full video lecture series: https://dpmd.ai/DeepMindxUCL21

From playlist Learning resources

Video thumbnail

What is a Function?

What is a function? How do you use the vertical line test? Learn more about functions and determine if mappings, sets of ordered pairs, tables, or graphs are functions in this short algebra video. Need more math help? Check out our algebra and geometry lessons at katesmathlessons.com

From playlist Algebra 1

Video thumbnail

The Extraordinary Wartime Contributions of the U.S. Coast Guard Auxiliary

Created on the verge of the Second World War to aid in the Coast Guard role of promoting watercraft safety, the United States Coast Guard Auxiliary performed vital and unsung functions during the war. The History Guy remembers their extraordinary wartime contributions in this "History Guy

From playlist U.S. Coast Guard

Video thumbnail

Symplectic homology via Gromov-Witten theory - Luis Diogo

Luis Diogo Columbia University February 13, 2015 Symplectic homology is a very useful tool in symplectic topology, but it can be hard to compute explicitly. We will describe a procedure for computing symplectic homology using counts of pseudo-holomorphic spheres. These counts can sometime

From playlist Mathematics

Video thumbnail

SYN120 - The Verb in PDE, Part I

This first of a series of three E-Lectures discusses the notions verb, verb phrase and verb groups. It also includes the term predicate to arrive at a formal classification of these terms in PDE, which can be used for further analysis.

From playlist VLC201 - The Structure of English

Video thumbnail

Metasploit For Beginners - #2 - Understanding Metasploit Modules

Hey, guys HackerSploit here, back again with another video. In this video, we will be starting the Complete Metasploit Course, that will take you from a beginner to expert with Metasploit. The Metasploit Project is a computer security project that provides information about security vulne

From playlist Ethical Hacking & Penetration Testing - Complete Course

Video thumbnail

Dominika Zgid - A physical/chemical motivation behind quantum embedding theories - IPAM at UCLA

Recorded 09 March 2022. Dominika Zgid presents "A physical/chemical motivation behind quantum embedding theories" at IPAM's Advancing Quantum Mechanics with Mathematics and Statistics Tutorials. Abstract: The cost of the exact solution of the many-electron problem is believed to be exponen

From playlist Tutorials: Advancing Quantum Mechanics with Mathematics and Statistics - March 8-11, 2022

Video thumbnail

What is a function?

This video explains what a mathematical function is and how it defines a relationship between two sets, the domain and the range. It also introduces three important categories of function: injective, surjective and bijective.

From playlist Foundational Math

Video thumbnail

Separation of Variables

In this video I use the technique of separation of variables to solve the heat equation, by effectively turning a pde into two odes. This is a very classical problem at the end of a linear algebra and differential equations-course, and is a very nice blend of the two subjects. There is als

From playlist Differential equations

Video thumbnail

Retrosynthesis 2 - Organic Chemistry

Diastereoselective retrosynthesis of blastmycinone, using selective enolisation methods and a consideration of the Felkin-Anh model. (Oops, please ignore the drawing accident where a butyl group changes to a pentyl group. It doesn't affect any of the chemistry discussed.) #chemistry #org

From playlist Retrosynthesis

Video thumbnail

Inverse Functions (part one)

An introduction to inverse functions. I talk about what an inverse function is, the relationship between domain and range, and the composition of two inverse functions. Stay tuned for part two! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www.instagram.com/b

From playlist Precalculus

Related pages

Axel Thue | Gelfond–Schneider theorem | Rational function | Liouville number | Joseph Liouville | Minimal polynomial (field theory) | Algebraic number | Big O notation | Entire function | Siegel's lemma | Rational number | Exponential function | Transcendental number theory | Mean value theorem | Irreducibility (mathematics) | Serge Lang | Lindemann–Weierstrass theorem | Mathematics | Function (mathematics) | Multiplicity (mathematics) | Baker's theorem | Exponential polynomial | Joseph Fourier | Complex number | Arakelov theory | Alexander Gelfond | Wronskian | Maximum modulus principle | Carl Ludwig Siegel | Alan Baker (mathematician)