Euclidean geometry | Polytopes
In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size. The expansion of a regular polytope creates a uniform polytope, but the operation can be applied to any convex polytope, as demonstrated for polyhedra in Conway polyhedron notation (which represents expansion with the letter e). For polyhedra, an expanded polyhedron has all the faces of the original polyhedron, all the faces of the dual polyhedron, and new square faces in place of the original edges. (Wikipedia).
Using binomial expansion to expand a binomial to the fourth degree
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
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How to use binomial expansion to expand a binomial to the 7th power
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
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Expand a binomial to the fifth power
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
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Binomial expansion to the sixth power
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
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Continued Fraction Expansions, Pt. III
A fascinating generalization linking sequences, continued fractions, and polynomials. Email: allLogarithmsWereCreatedEqual@gmail.com Subscribe! https://www.youtube.com/AllLogarithmsEqual
From playlist Number Theory
π Learn all about binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula for a binomial expans
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How can we represent any term in a binomial expansion
π Learn all about binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula for a binomial expans
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Using binomial expansion to expand a binomial to the fourth power
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
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Learn how to expand a binomial to fourth power by multiplying
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
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Spectrum and abnormals in sub-Riemannian geometry: the 4D quasi-contact case - Nikhil Savale
Symplectic Dynamics/Geometry Seminar Topic: Spectrum and abnormals in sub-Riemannian geometry: the 4D quasi-contact case Speaker: Nikhil Savale Affiliation: University of Cologne Date: October 28, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Dark Energy, Cosmology part 2: Crash Course Astronomy #43
The majority of the universe is made up of a currently mysterious entity that pervades space: dark energy. We donβt know exactly what it is, but we do know that dark energy accelerates the expansion of space. We think this means the Universe will expand forever, even as our view of it shri
From playlist Astronomy
Topological Strings and String Dualities (Lecture - 02) by Rajesh Gopakumar
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Why the Universe Needs Dark Energy
Part 2 in our Dark Energy series. Part 1: https://www.youtube.com/watch?v=xZTb6sfHEX8 Check out our sister channel Crash Course Physics to learn more about the basic foudations of Physics: https://www.youtube.com/watch?v=ZM8ECpBuQYE&list=PL8dPuuaLjXtN0ge7yDk_UA0ldZJdhwkoV Get your own S
From playlist Space Time!
Digital Fluid Mechanics Laboratory: Sudden Expansion Pressure Loss
This work details the assignment of a digital, fluid mechanics laboratory to a class of undergraduate engineering students at Duke University. In this laboratory, students are asked to numerically simulate flow through a sudden expansion. The primary learning objective of this laboratory i
From playlist Wolfram Technology Conference 2022
Supermatrix Models - R. Dijkgraaf - 2/24/2015
Introduction by Sergei Gukov. Learn more about the Inaugural Celebration and Symposium of the Walter Burke Institute for Theoretical Physics: https://burkeinstitute.caltech.edu/workshops/Inaugural_Symposium Produced in association with Caltech Academic Media Technologies. Β©2015 Californi
From playlist Walter Burke Institute for Theoretical Physics - Dedication and Inaugural Symposium - Feb. 23-24, 2015
General Relativity Topic 30: Our Universe
Lecture from 2017 upper level undergraduate course in general relativity at Colorado School of Mines
From playlist Colorado School of Mines/Alex Flournoy: General Relativity | CosmoLearning.org Physics
.999...=1 and Fractal Geometry | Nathan Dalaklis
A bit of Algebra is the quickest way to see that .9 repeating equals 1, but there is another approach from the lens of fractal geometry using iterated functions systems (IFSs). These mathematical devices are used to created different fractals, but they can also be used to fundamentally des
From playlist The New CHALKboard
WSU Master Class: Inflationary Cosmology with Alan Guth
Breakthrough Prize winner Alan Guth developed the theory of inflation to answer to our cosmic origins. It's one of the most studied and debated theories in cosmology, with research propelling Guthβs work to the forefront of scientific conversation. In this Master Class, Professor Guth add
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Did Dark Energy Just Disappear? | Space Time | PBS Digital Studios
Did all of dark energy just vanish? A team of scientists have just analyzed new data and claim that we need to completely rethink its existence. This episode is supported by The Great Courses Plus. Go to http://ow.ly/EMoC304OIsh to start your free one month trial. Get your own Space Time
From playlist Space Time!
Learn to expand a binomial using binomial expansion
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
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