In geometry and coding theory, a spherical code with parameters (n,N,t) is a set of N points on the unit hypersphere in n dimensions for which the dot product of unit vectors from the origin to any two points is less than or equal to t. The kissing number problem may be stated as the problem of finding the maximal N for a given n for which a spherical code with parameters (n,N,1/2) exists. The Tammes problem may be stated as the problem of finding a spherical code with minimal t for given n and N. (Wikipedia).
Introduction to Spherical Coordinates
Introduction to Spherical Coordinates This is a full introduction to the spherical coordinate system. The definition is given and then the formulas for converting rectangular to spherical and spherical to rectangular. We also look at some of the key graphs in spherical coordinates. Final
From playlist Calculus 3
Calculus 3 Lecture 11.7: Using Cylindrical and Spherical Coordinates
Calculus 3 Lecture 11.7: Using Cylindrical and Spherical Coordinates: Show how to convert between Rectangular, Cylindrical, and Spherical coordinates AND how to convert between Rectangular, Cylindrical, and Spherical Equations.
From playlist Calculus 3 (Full Length Videos)
Definition of spherical coordinates | Lecture 33 | Vector Calculus for Engineers
We define the relationship between Cartesian coordinates and spherical coordinates; the position vector in spherical coordinates; the volume element in spherical coordinates; the unit vectors; and how to differentiate the spherical coordinate unit vectors. Join me on Coursera: https://www
From playlist Vector Calculus for Engineers
Introduction to Spherical Coordinates
This video defines spherical coordinates and explains how to convert between spherical and rectangular coordinates. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Converting Between Spherical and Rectangular Equations
This video provides example of how to convert between rectangular equation and spherical equations and vice versa. http://mathispower4u.com
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Introduction to Cylindrical Coordinates
Introduction to Cylindrical Coordinates Definition of a cylindrical coordinate and all of the formulas used to convert from cylindrical to rectangular and from rectangular to cylindrical. Examples are also given.
From playlist Calculus 3
Spherical Coordinates - Denis Potapov
This video shows some basic facts about the classical spherical coordinates in vector calculus.
From playlist Dr Denis Potapov's videos
Classical spherical trigonometry | Universal Hyperbolic Geometry 36 | NJ Wildberger
This video presents a summary of classical spherical trigonometry. First we define spherical distance between two points on a sphere, then the angle between two lines on a sphere (i.e. great circles). After a quick reminder of the circular functions cos,sin and tan, we present the main la
From playlist Universal Hyperbolic Geometry
Mathemalchemy spherical record, 2021-12-04
From playlist Spherical video
RailsConf 2014 - Mutation Testing with Mutant by Erik Michaels-Ober
Tests are a good tool to verify your code but how do you verify your tests? Mutation testing is a technique to evaluate the quality of your tests by programmatically mutating (i.e. making a series of small modifications to) your code and ensuring that the tests no longer pass. This talk wi
From playlist RailsConf 2014
It's the Mandelbulb! What happens when you take the original fractal (The Mandelbrot Set) and extend it into 3D space? And how do you visualize it in Processing (Java) as a point cloud? https://thecodingtrain.com/CodingChallenges/168-mandelbulb.html 🎥 Previous video: https://youtu.be/a35K
From playlist Coding Challenges
Discussion Meeting Sphere Packing ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the
From playlist Sphere Packing - 2019
Live CEOing Ep 333: Language Design in Wolfram Language
In this episode of Live CEOing, Stephen Wolfram discusses the language design of Wolfram Language functions. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram here: ht
From playlist Behind the Scenes in Real-Life Software Design
Semidefinte programming bounds by Abhinav Kumar
DISCUSSION MEETING SPHERE PACKING ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the
From playlist Sphere Packing - 2019
Introduction Sphere Packing problems by Abhinav Kumar
DISCUSSION MEETING SPHERE PACKING ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the
From playlist Sphere Packing - 2019
Live Stream #47 - 3D Supershapes and Spherical Geometry
Live from sfpc.io! This live stream is a continuation of the Supershape series of Coding Challenges. First, I show you how to create a sphere in Processing using spherical coordinates. Then, I use the superformula to generate 3D Supershapes. Finally, I use the p5.js library and WebGL to tr
From playlist Live Stream Archive
Live CEOing Ep 688: Language Design in Wolfram Language [SphericalDistance, LevelMap, and More]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
Visualizing decimal numbers and their arithmetic 67 | Arithmetic and Geometry Math Foundations
This video gives a precise definition of a decimal number as a special kind of rational number; one for which there is an expression a/b where a and b are integers, with b a power of ten. For such a number we can extend the Hindu-Arabic notation for integers by introducing the decimal form
From playlist Math Foundations
Manuela Campanelli - Merging black hole binaries: accretion dynamics and outflows - IPAM at UCLA
Recorded 7 October 2021. Manuela Campanelli of the Rochester Institute of Technology presents "Merging black hole binaries: accretion dynamics and outflows" as part of IPAM's Workshop I: Computational Challenges in Multi-Messenger Astrophysics. Learn more online at: http://www.ipam.ucla.ed
From playlist Workshop: Computational Challenges in Multi-Messenger Astrophysics