In knot theory, the self-linking number is an invariant of framed knots. It is related to the linking number of curves. A framing of a knot is a choice of a non-zero non-tangent vector at each point of the knot. More precisely, a framing is a choice of a non-zero section in the normal bundle of the knot, i.e. a (non-zero) normal vector field. Given a framed knot C, the self-linking number is defined to be the linking number of C with a new curve obtained by pushing points of C along the framing vectors. Given a Seifert surface for a knot, the associated Seifert framing is obtained by taking a tangent vector to the surface pointing inwards and perpendicular to the knot. The self-linking number obtained from a Seifert framing is always zero. The blackboard framing of a knot is the framing where each of the vectors points in the vertical (z) direction. The self-linking number obtained from the blackboard framing is called the Kauffman self-linking number of the knot. This is not a knot invariant because it is only well-defined up to regular isotopy. (Wikipedia).
Find the Number of Positive 2-Digit Odd Numbers With Distinct Digits
Find the Number of Positive 2-Digit Odd Numbers With Distinct Digits The pencils I used in this video: https://amzn.to/3bCpvpt The paper I used in this video: https://amzn.to/3OQ8nuM (the above links are my affiliate links) If you enjoyed this video please consider liking, sharing, and s
From playlist Combinatorics
Dividing Complex Numbers Example
Dividing Complex Numbers Example Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Complex Numbers
Maths Puzzle: The self descriptive number solution
Solution to the self descriptive number puzzle https://www.youtube.com/watch?v=K6Qc4oK_HqY Here is the original version of the proof presented in the video http://singingbanana.com/self%20describing%20proof.gif [I've added some notes to the proof I presented in the video below] Thanks to
From playlist My Maths Videos
Number of 7 Digit Passwords Starting with a Letter and No Repetition
In this video I do a counting problem that uses the multiplication rule. We find the number of 7 digit passwords starting with a letter with no repetition allowed in the digits. The pencils I used in this video: https://amzn.to/3bCpvpt The paper I used in this video: https://amzn.to/3OQ8n
From playlist Combinatorics
My own choice for a number over 1,000,000 is this 617 digit boy: 251959084756578934940271832400483985714292821262040320277771378360436620207075955562640185258807844069182906412495150821892985591491761845028084891200728449926873928072877767359714183472702618963750149718246911650776133798590
From playlist MegaFavNumbers
Find the Number of Positive 2-Digit Even Numbers With Distinct Digits
Find the Number of Positive 2-Digit Even Numbers With Distinct Digits The pencils I used in this video: https://amzn.to/3bCpvpt The paper I used in this video: https://amzn.to/3OQ8nuM (the above links are my affiliate links) If you enjoyed this video please consider liking, sharing, and
From playlist Combinatorics
Number of Passwords That Start With a Letter Followed by 3 or 4 Digits
Number of Passwords That Start With a Letter Followed by 3 or 4 Digits The pencils I used in this video: https://amzn.to/3bCpvpt The paper I used in this video: https://amzn.to/3OQ8nuM (the above links are my affiliate links) If you enjoyed this video please consider liking, sharing, and
From playlist Combinatorics
Introductory coverage of fundamental data structures. Part of a larger series teaching programming. Visit http://codeschool.org
From playlist Data Structures
The Rust Book (v2) part 25 - end of chapter 8 challenges
Working on the first of the chapter 8 mini projects. I switched to a second computer to stream and using a capture card. No flickers this time but I know how to fix the slowness. Rebuilding my computer. I may end up streaming that process to show off to students how easy it is to install L
From playlist Rust Book
Mod-03 Lec-22 Self Assembly of Nanostructures - I
Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in
Nicole M. Cain, Ph.D., “The Impact of Interpersonal Processes on Suicidal Behavior in BPD”
Dr. Cain is an Assistant Professor in the Department of Psychology at Long Island University, Brooklyn. She graduated with a PhD in clinical psychology from The Pennsylvania State University in 2009 and completed a postdoctoral fellowship at New York-Presbyterian Hospital/Weill Cornell Med
From playlist 12th Annual Yale NEA-BPD Conference
Writing an OS in Rust - Part 11b - Linked List Allocator
This is my version of Philipp Oppermann's "BlogOS". It's a baremetal operating system that can boot off of a USB stick on any BIOS-compatible machine, which is pretty amazing. I'm going to be following the whole blog, one video at a time, and running the OS using QEMU instead of booting a
From playlist Rust OS
From Embedded Contact Homology to Surface Dynamics - Jo Nelson
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: From Embedded Contact Homology to Surface Dynamics Speaker: Jo Nelson Affiliation: Rice University; Member, School of Mathematics Date: February 27 2023 I will discuss work in progress with Morgan Weiler on knot filtered e
From playlist Mathematics
Logistic Regression from Scratch - Machine Learning Python
In this video we code my most loved algorithm from scratch, namely Logistic Regression in the Python programming language. Below I link a few resources to learn more about Logistic Regression as well as to the Machine Learning Github repository where you can also find the code! Resourc
From playlist Machine Learning Algorithms
4 Ways to End Insecurity About Learning and Studying
https://memorycourse.brainathlete.com/memorytips/ Get my memory training gift at link above and find out about my Black Belt Memory course there. https://www.instagram.com/brainathlete/ In learning if we compare ourselves to others it will lead to doubt and insecurity. We question oursel
From playlist How to Study
Writing an OS in Rust - Part 11a - Bump Allocator
This is my version of Philipp Oppermann's "BlogOS". It's a baremetal operating system that can boot off of a USB stick on any BIOS-compatible machine, which is pretty amazing. I'm going to be following the whole blog, one video at a time, and running the OS using QEMU instead of booting a
From playlist Rust OS
MegaFavNumbers: All you need to go Mega is just 3 bytes
Joining the maths #MegaFavNumbers thing just because I like it. My favourity number of over 1 million is a number I remember ever since I was a child. It is used often and well known. Watch to find out why. 16777216
From playlist MegaFavNumbers
Learning how to take the cube root of a negative number, cube root(-27)
👉 Learn how to find the cube root of a number. To find the cube root of a number, we identify whether that number which we want to find its cube root is a perfect cube. This is done by identifying a number which when raised to the 3rd power gives the number which we want to find its cube r
From playlist How To Simplify The Cube Root of a Number
Data structures: Properties of Graphs
See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have described below properties of Graph data structure: a) directed graph vs undirected graph b) weighted graph vs unweighted graph c) sparse graph vs
From playlist Data structures