Winding number

Winding number

In this video, I define the concept of a winding number of a curve around a point, which intuitively measures how many times a curve loops around a point. For example, for a circle (or any simple closed curve), the winding number should be 1, but for the curve in the thumbnail, the winding

From playlist Multivariable Calculus

Dividing Complex Numbers Example

Dividing Complex Numbers Example Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys

From playlist Complex Numbers

Curvature, turning numbers and winding numbers (cont) | Differential Geometry 17 | NJ Wildberger

We continue the discussion of planar curvature of a curve, including the notion of turning number and winding number. This connects with the notion of the degree of a map from a circle to a circle, and relates also to a useful result in complex analysis sometimes called the Dog on a Leash

From playlist Differential Geometry

What are Real Numbers? | Don't Memorise

Watch this video to understand what Real Numbers are! To access all videos on Real Numbers, please enroll in our full course here - https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=3YwrcJxEbZw&utm_term=%7Bkeyword%7D In this video, w

From playlist Real Numbers

What are Irrational Numbers? | Number System | Don't Memorise

Watch this video to know more about Rational numbers, Irrational Numbers, Real Numbers and Number System. To learn more about Irrational Numbers, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=CtRtXoT_

From playlist Irrational Numbers

Irrational Numbers - What are they?

Learn what an irrational number is in this free math video tutorial by Mario's Math Tutoring. 0:07 What is an Irrational Number 0:11 What is an Integer 0:35 Example of a Rational Number 7 1:02 Example of How a Repeating Decimal is Rational 1:26 Example 1 is Square Root of 7 Rational? 1:40

From playlist Algebra 1

What are imaginary numbers?

Imaginary numbers are any numbers that include the imaginary number i. A mix of imaginary and real numbers gives you what’s called a complex number. The primary reason we use imaginary numbers is to give us a way to find the root (radical) of a negative number. There’s no way to use real

From playlist Popular Questions

#MegaFavNumbers Why __^__ Is My Favourite Number

From playlist MegaFavNumbers

Types Of Numbers | Numbers | Maths | FuseSchool

We all know what numbers are 1, 2, 3, 4, 5, …. Including negative numbers -1, -2, -3, -4, -5, ... But did you know that mathematicians classify numbers into different types… into a number system. Let’s start at the top with real numbers. They can be positive… negative… zero… decimals, frac

From playlist MATHS: Numbers

Electromagnetic Induction (14 of 15) Transformers, Example Problems

In this video I will work through several example problems for transformers. The equations for the relationship between the voltages, currents on the primary and secondary sides are derived with respect to the number of winding on the coils. Step-up and step-down transformers are also dis

From playlist Electromagnetic Induction

Lecture 10 | String Theory and M-Theory

(November 30, 2010) Professor Leonard Susskind continues his discussion on T-Duality; explains the theory of D-Branes; models QFT and QCD; and introduces the application of electromagnetism. String theory (with its close relative, M-theory) is the basis for the most ambitious theories of

From playlist Lecture Collection | String Theory and M-Theory

Electromagnetic Induction (13 of 15) Transformers, An Explanation

This video goes over an explanation of how transformers function. The equations for the relationship between the voltages, currents on the primary and secondary sides are derived with respect to the number of winding on the coils. Step-up and step-down transformers are also discussed.

From playlist Electromagnetic Induction

Generating a second-order topological insulator with multiple corner states by Diptiman Sen

DISCUSSION MEETING : EDGE DYNAMICS IN TOPOLOGICAL PHASES ORGANIZERS : Subhro Bhattacharjee, Yuval Gefen, Ganpathy Murthy and Sumathi Rao DATE & TIME : 10 June 2019 to 14 June 2019 VENUE : Madhava Lecture Hall, ICTS Bangalore Topological phases of matter have been at the forefront of r

From playlist Edge dynamics in topological phases 2019

Live CEOing Ep 191: Language Design in Wolfram Language

Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Language Design in the Wolfram Language.

From playlist Behind the Scenes in Real-Life Software Design

Evaluating Energy Solutions to Climate Change

Mark Jacobson, professor of Civil and Environmental Engineering at Stanford University, discusses proposed energy solutions to climate change, air pollution and energy security. The Energy Seminar meets weekly during the academic year. For a list of upcoming talks, visit the events page at

From playlist Lecture Collection | Energy Seminar

Kimihiko Motegi: L-space knots in twist families and satellite L-space knots

Abstract: Twisting a knot K in S3 along a disjoint unknot c produces a twist family of knots {Kn} indexed by the integers. Comparing the behaviors of the Seifert genus g(Kn) and the slice genus g4(Kn) under twistings, we prove that if g(Kn)−g4(Kn) [is less than] C for some constant C for i

From playlist Topology

Scattering Amplitudes and Clusterhedra in Kinematic Space (Lecture 2) by Nima Arkani Hamed

RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures

From playlist Recent Developments in S-matrix Theory (Online)

Ex: Linear Equation Application with One Variable - Number Problem

This video provides and example of how to solve a number problem using a linear equation with one variable. One number is a multiple of the other. The difference is a constant. Find the two numbers. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Whole Number Applications

Complex Analysis - Part 24 - Winding Number

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From playlist Complex Analysis