In seven-dimensional geometry, a runcinated 7-orthoplex is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-orthoplex. There are 16 unique runcinations of the 7-orthoplex with permutations of truncations, and cantellations. 8 are more simply constructed from the 7-cube. These polytopes are among 127 uniform 7-polytopes with B7 symmetry. (Wikipedia).
Orthocenters exist! | Universal Hyperbolic Geometry 10 | NJ Wildberger
In classical hyperbolic geometry, orthocenters of triangles do not in general exist. Here in universal hyperbolic geometry, they do. This is a crucial building block for triangle geometry in this subject. The dual of an orthocenter is called an ortholine---also not seen in classical hyperb
From playlist Universal Hyperbolic Geometry
Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve)
More resources available at www.misterwootube.com
From playlist Using Complex Numbers
Seminar on Applied Geometry and Algebra (SIAM SAGA): Dustin Mixon
Title: Packing Points in Projective Spaces Speaker: Dustin Mixon Date: Tuesday, March 8, 2022 at 11:00am Eastern Abstract: Given a compact metric space, it is natural to ask how to arrange a given number of points so that the minimum distance is maximized. For example, the setting of the
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
Orthogonality and Orthonormality
We know that the word orthogonal is kind of like the word perpendicular. It implies that two vectors have an angle of ninety degrees or half pi radians between them. But this term means much more than this, as we can have orthogonal matrices, or entire subspaces that are orthogonal to one
From playlist Mathematics (All Of It)
Math 060 Fall 2017 111317C Orthonormal Bases
Motivation: how to obtain the coordinate vector with respect to a given basis? Definition: orthogonal set. Example. Orthogonal implies linearly independent. Orthonormal sets. Example of an orthonormal set. Definition: orthonormal basis. Properties of orthonormal bases. Example: Fou
From playlist Course 4: Linear Algebra (Fall 2017)
What Are Polygons | Geometry & Measures | Maths | FuseSchool
CREDITS Animation & Design: Peter van de Heuvel Narration: Lucy Billings Script: Lucy Billings The word polygon comes from Greek. Poly means “many” and Gon means “angles”. Polygon = many angles. Polygons are 2-dimensional shapes, that are made of straight lines, with all the sides joined
From playlist MATHS: Geometry & Measures
14K Polar Form of Complex Numbers and the nth Root
An equation for calculating the n-th root of any number.
From playlist Linear Algebra
Linear Algebra: Given an orthonormal basis of R^n, we present a quick method for finding coefficients of linear combination in terms of the basis. We also give an analogue of Parseval's Identity, which relates these coefficients to the squared length of the vector.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Multiplying complex numbers, two binomials
http://www.freemathvideos.com In this video tutorial I show you how to multiply imaginary numbers. We will multiply monomials, binomials and trinomials together and then simplify. It is important when multiplying complex number that we simplify the answer and write in standard complex num
From playlist Complex Numbers
Complex Roots (1 of 5: Observing Complex Conjugate Root Theorem through seventh roots of unity)
More resources available at www.misterwootube.com
From playlist Complex Numbers
This Problem Stumped Vietnamese Students - Solution To Viral Puzzler
This problem was asked to students in Vietnam. Can you figure it out? Place the numbers 1 to 9, using each number once, to make a valid equation. In this video I explain how you can solve this problem logically. UPDATE: I've posted all 136 solutions, at the end of this description, found
From playlist Viral Math Memes
Definite Integral with Absolute Value |2x - 7| from 0 to 7/2
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definite Integral with Absolute Value |2x - 7| from 0 to 7/2
From playlist Calculus
Algebra - Ch. 35: Systems of of Linear Eq. in 3 Variables (21 of 25) Word Prob. Ex 2: Inverse Matrix
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will solve the following Word Problem Ex. 2 using the INVERSE MATRIX: Find 3 numbers, such that, the difference of the 1st and 2nd
From playlist ALGEBRA CH 35 SYSTEMS OF 3 EQUATIONS
EngageNY Grade 3 Module 3 Lesson 6
EngageNY/Eureka Math Grade 3 Module 3 Lesson 6 For more videos, please visit http://bit.ly/engageportal
From playlist EngageNY Grade 3 Module 3
Inverse Matrix Using Gauss-Jordan / Row Reduction , Example 2
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Inverse Matrix Using Gauss-Jordan / Row Reduction , Example 2. Here I look at a quick example of finding the inverse of a 3 x 3 matrix using Gauss - Jordan / r
From playlist All Videos - Part 1
An application of linear equations. This is an optional lesson.
From playlist Eureka Math Grade 8 Module 4
Least squares examples | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/orthogonal-projections/v/linear-algebra-least-squares-examples An example using the least squares solution to an unsolvable system
From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
Dividing fractions with common denominators
You've probably seen the trick about dividing fractions with common denominators. But WHY does this work? Duane Habecker: https://about.me/duanehabecker Twitter: @dhabecker
From playlist Fraction Operations
Why must every year have a Friday the 13th? SoME Entry. An introduction to Modular Arithmetic.
In this video, the concept of Modular Arithmetic is gently introduced. Then it is used to prove an interesting fact: that every year must have at least one Friday the 13th! I hope this video gives you both chills and thrills.
From playlist Summer of Math Exposition Youtube Videos
