Topology | Differential geometry

Ribbon (mathematics)

In differential geometry, a ribbon (or strip) is the combination of a smooth space curve and its corresponding normal vector. More formally, a ribbon denoted by includes a curve given by a three-dimensional vector , depending continuously on the curve arc-length, and a unit vector perpendicular to at each point. Ribbons have seen particular application as regards DNA. (Wikipedia).

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The formal definition of a sequence.

We have an intuitive picture of sequences (infinite ordered lists). But there is a formal definition of sequences based out of the idea of a specific function between sets, specifically from the positive integers to the real numbers. ►Full DISCRETE MATH Course Playlist: https://www.youtu

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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Formal Definition of a Function using the Cartesian Product

Learning Objectives: In this video we give a formal definition of a function, one of the most foundation concepts in mathematics. We build this definition out of set theory. **************************************************** YOUR TURN! Learning math requires more than just watching vid

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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What is Discrete Mathematics?

This video explains what is taught in discrete mathematics.

From playlist Mathematical Statements (Discrete Math)

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Maths for Programmers: Introduction (What Is Discrete Mathematics?)

Transcript: In this video, I will be explaining what Discrete Mathematics is, and why it's important for the field of Computer Science and Programming. Discrete Mathematics is a branch of mathematics that deals with discrete or finite sets of elements rather than continuous or infinite s

From playlist Maths for Programmers

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FUNCTIONS - DISCRETE MATHEMATICS

We introduce functions. How to write them, the terminology, and how to compose them. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discr

From playlist Discrete Math 1

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Intro to Discrete Math - Welcome to the Course!

Welcome to Discrete Math. This is the start of a playlist which covers a typical one semester class on discrete math. I chat a little about why I love discrete math, what you should expect, and how an online discrete math course is structured. FULL PLAYLIST: https://www.youtube.com/watch

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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Describing Functions (Discrete Math)

This video covered the various ways to describe functions in a discrete math class.

From playlist Functions (Discrete Math)

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Analytic Geometric Langlands-correspondence: Relations to Conformal (Lecture 1) by Joerg Teschner

Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

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RELATIONS - DISCRETE MATHEMATICS

We introduce relations. How to write them, what they are, and properties of relations including reflexivity, symmetry, and transitivity. #DiscreteMath #Mathematics #Relations Support me on Patreon: http://bit.ly/2EUdAl3 Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http:

From playlist Discrete Math 1

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Elise Goujard: Volumes of odd strata of quadratic differentials

CONFERENCE Recording during the thematic meeting : "Combinatorics, Dynamics and Geometry on Moduli Spaces" the September 20, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwid

From playlist Combinatorics

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Michael Hopkins: Bernoulli numbers, homotopy groups, and Milnor

Abstract: In his address at the 1958 International Congress of Mathematicians Milnor described his joint work with Kervaire, relating Bernoulli numbers, homotopy groups, and the theory of manifolds. These ideas soon led them to one of the most remarkable formulas in mathematics, relating f

From playlist Abel Lectures

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Which Way Is Down?

BRAIN CANDY LIVE http://www.braincandylive.com/tickets THE VSAUCE CURIOSITY BOX: https://www.curiositybox.com/ Links to sources and to learn more below! my twitter https://twitter.com/tweetsauce my instagram https://www.instagram.com/electricpants Thanks to Eric Langlay (https://www.yout

From playlist Physics

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Analytic Geometric Langlands-correspondence: Relations to Conformal (Lecture 2) by Joerg Teschner

Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

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Mountain Scenes | Dynamic Programming

Walkthrough of the Mountain Scenes dynamic programming problem that featured in the 2016 NAIPC programming competition. Mountain Scenes problem: https://open.kattis.com/problems/scenes Source Code: https://github.com/williamfiset/Algorithms/tree/master/src/main/java/com/williamfiset/algo

From playlist Dynamic Programming

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Nezhla Aghaei - Combinatorial Quantisation of Supergroup Chern-Simons Theory

Chern-Simons Theories with gauge super-groups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for the construction of knot and link invariants. In my talk, I will review the framework of combinatorial quantization of Chern Simons theory and

From playlist Workshop on Quantum Geometry

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Amol Aggarwal: Large genus asymptotics in flat surfaces

CONFERENCE Recording during the thematic meeting : "Combinatorics, Dynamics and Geometry on Moduli Spaces" the September 22, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwid

From playlist Probability and Statistics

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Knots, Virtual Knots and Virtual Knot Cobordism by Louis H. Kauffman

PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl

From playlist Knots Through Web (Online)

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What is the definition of a geometric sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

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Evaluate a linear expression for two variables

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

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Sylvie Corteel: Le diamant aztèque - Cours 1

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Combinatorics

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Topological fluid dynamics | DNA | Twist (mathematics) | DNA supercoil | Bollobás–Riordan polynomial | Differential geometry | Writhe | Vector (mathematics and physics) | Smoothness | Linking number | Arc length | Möbius strip | Knot theory