Design of experiments | Algebra
A spherical design, part of combinatorial design theory in mathematics, is a finite set of N points on the d-dimensional unit d-sphere Sd such that the average value of any polynomial f of degree t or less on the set equals the average value of f on the whole sphere (that is, the integral of f over Sd divided by the area or measure of Sd). Such a set is often called a spherical t-design to indicate the value of t, which is a fundamental parameter. The concept of a spherical design is due to Delsarte, Goethals, and Seidel, although these objects were understood as particular examples of cubature formulas earlier. Spherical designs can be of value in approximation theory, in statistics for experimental design, in combinatorics, and in geometry. The main problem is to find examples, given d and t, that are not too large; however, such examples may be hard to come by.Spherical t-designs have also recently been appropriated in quantum mechanics in the form of quantum t-designs with various applications to quantum information theory and quantum computing. (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
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
The spherical pendulum in the Hamiltonian formalism
We continue with the spherical pendulum animation and discuss the difference between the major analytical mechanics approaches. Who won? You decide.
From playlist Programming
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
This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
I made this spherical video using a Ricoh Theta S. You can view the video properly on Chrome, Firefox, and the YouTube app on your phone/tablet device.
From playlist Spherical video
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
Lec 8 | MIT 2.71 Optics, Spring 2009
Lecture 8: Telescopes; aberrations: chromatic, spherical, and coma Instructor: George Barbastathis, Colin Sheppard, Se Baek Oh View the complete course: http://ocw.mit.edu/2-71S09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at htt
From playlist MIT 2.71 Optics, Spring 2009
Making a Monolithic Telescope Part 1: Optical Design and Aspherics.
Video Contents: 00:00 General Intro 00:56 Spherical is easy 01:32 Aspherical is hard 01:59 Ideal lens vs. spherical surface lens 03:17 The concept of the light ray 04:47 A little optics quizz 06:21 Optimum spot size using iterative numercal analysis 07:56 Use of optical design software (
From playlist optics
Spherical Geneva Mechanism or Spatial Geneva
From playlist Geneva Mechanisms
Live CEOing Ep 640: Language Design Review of Video, Image, Audio, & Import/Export
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
Marc Levoy - Lectures on Digital Photography - Lecture 4 (30mar16).mp4
This is one of 18 videos representing lectures on digital photography, from a version of my Stanford course CS 178 that was recorded at Google in Spring 2016. A web site that includes all 18 videos, my slides, and the course schedule, applets, and assignments is http://sites.google.com/sit
From playlist Stanford: Digital Photography with Marc Levoy | CosmoLearning Computer Science
Applications of rational spherical trigonometry I | Universal Hyperbolic Geometry 43 | NJ Wildberger
We review the basics of rational spherical/elliptic trigonometry, a cleaner more logical view of classical spherical trigonometry which is intimately linked with hyperbolic geometry. We illustrate the basic laws by having an in-depth look at a specific example of a spherical triangle, fo
From playlist Universal Hyperbolic Geometry
Making a monolithic telescope Part 3: Figuring & Testing
Use the following links if you want to skip to the next chapter of the video: 00:00 General intro 01:54 Required level of precision 07:12 Measuring surface shapes with interferometry 10:46 Fringe evaluation with DFTfringe 12:12 Optical Pitch polishing 17:19 Making molds using 3D printing
From playlist optics
Visualizing (Earth) Gravity Potential Models and Perturbed Kepler Orbits
Gottlob Gienger To learn more about the Wolfram Technologies, visit http://www.wolfram.com The European Wolfram Technology Conference featured both introductory and expert sessions on all major technologies and many applications made possible with Wolfram technology. Learn to achieve in
From playlist European Wolfram Technology Conference 2015
Repeated measures ANOVA 1: A within-subjects design
In this video, I demonstrate how to do a repeated measures ANOVA test in SPSS. The design chosen in within-subjects design.
From playlist Repeated Measures ANOVA
SPSS - One-Way Repeated Measures ANOVA Example
Recorded: Spring 2015 Lecturer: Dr. Erin M. Buchanan Repeated Measures ANOVA (One-Way) Demo - based on information from Tabachnick and Fidell (2012) and Field (2014). Includes data screening, how to run the analysis, output interpretation, post hoc tests, effect size, and power. Lecture
From playlist Learn and Use G*Power
From playlist Drawing a sphere
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 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