Homotopy theory

Cohomotopy set

In mathematics, particularly algebraic topology, cohomotopy sets are particular contravariant functors from the category of pointed topological spaces and basepoint-preserving continuous maps to the category of sets and functions. They are dual to the homotopy groups, but less studied. (Wikipedia).

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Trigonometry 9 The Sum of Cosines.mov

The sum of the cosine of two angles.

From playlist Trigonometry

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Trigonometry 7 The Cosine of the Sum and Difference of Two Angles

A geometric proof of the cosine of the sum and difference of two angles identity.

From playlist Trigonometry

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Compute cos(3pi/2)

We compute the cosine of 3pi/2 using basic trigonometry. We use the fact that on the unit circle every ordered pair has the form (cos(theta), sin(theta)). I hope this helps someone who is learning about trigonometry. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://a

From playlist Computing Trigonometric Function Values

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Compute cos(2pi/3)

We compute the cosine of 2pi/3 by hand without using a calculator. I hope this helps someone who is learning trigonometry. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affiliate links) ***********Math, Physics, and Computer Science

From playlist Computing Trigonometric Function Values

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Trigonometry 5 The Cosine Relationship

A geometrical explanation of the law of cosines.

From playlist Trigonometry

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Compute cos(3pi/4)

We compute cos(3pi/4) by hand. We don't use a calculator at all and only use trigonometry. I hope this helps someone who is learning trig. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affiliate links) ***********Math, Physics, and C

From playlist Computing Trigonometric Function Values

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Trigonometry 8 The Tangent and Cotangent of the Sum and Difference of Two Angles.mov

Derive the tangent and cotangent trigonometric identities.

From playlist Trigonometry

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series of cos(1/n), test for divergence

series of cos(1/n), test for divergence, www.blackpenredpen.com

From playlist Calculus, Sect 11.2, Series (Geometric, Telescoping & Harmonic)

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Power Set of the Power Set of the Power Set of the Empty Set | Set Theory

The power set of the power set of the power set of the empty set, we'll go over how to find just that in today's set theory video lesson! We'll also go over the power set of the empty set, the power set of the power set of the empty set, and we'll se the power set of the power set of the p

From playlist Set Theory

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Set Theory (Part 1): Notation and Operations

Please feel free to leave comments/questions on the video and practice problems below! In this video series, we'll explore the basics of set theory. I assume no experience with set theory in the video series and anyone who's "been around town" in math should understand the videos. To make

From playlist Set Theory by Mathoma

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Hereditarily finite sets

In this video I give an implementation of the power set operation for a crude notion of sets. I then use it to general the hereditarily finite set. I'm motivated both by providing a nice elaboration of a simple model of the ZFC axioms as well as giving a bridge to talk about the AVL-tree d

From playlist Programming

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The perfect number of axioms | Axiomatic Set Theory, Section 1.1

In this video we introduce 6 of the axioms of ZFC set theory. My Twitter: https://twitter.com/KristapsBalodi3 Intro: (0:00) The Axiom of Existence: (2:39) The Axiom of Extensionality: (4:20) The Axiom Schema of Comprehension: (6:15) The Axiom of Pair (12:16) The Axiom of Union (15:15) T

From playlist Axiomatic Set Theory

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Introduction to Sets and Set Notation

This video defines a set, special sets, and set notation.

From playlist Sets (Discrete Math)

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What is the Power Set of the Empty Set? | Set Theory

What is the power set of the empty set? We will answer this question in today’s math lesson! We will write the empty set like so: { }. Recall that the power set of a set A is the set containing all subsets of A. So, for example, P({ 1 }) = { { }, { 1 } }. Also, recall that if the cardinali

From playlist Set Theory

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SUBSETS AND POWER SETS - DISCRETE MATHEMATICS

Today we look at subsets and power sets. This includes the empty set, and the power set of the empty set. Support me on Patreon: http://bit.ly/2EUdAl3 Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.y

From playlist Discrete Math 1

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Find All Subsets of a Set (Example Problems) | Set Theory Exercises

How do you find all subsets of a given set? We go over eight subset example problems in today's lesson, including sets with the empty set, the empty set itself, sets with strange elements like the real numbers and the rationals, and more. We also briefly mention power sets, and the number

From playlist Set Theory

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Sets (data structure) - Beau teaches JavaScript

See how the set data structure can be implemented. Also learn about the es6 Set object. Code: đź”— http://codepen.io/beaucarnes/pen/dvGeeq?editors=0012 More information: đź”— https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Set Beau Carnes on Twitter: https://

From playlist Data Structures and Algorithms - Beau teaches JavaScript

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Compute cos(pi/3)

We compute the cosine of pi/3 by hand without using a calculator. I hope this helps someone who is learning trigonometry. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affiliate links) ***********Math, Physics, and Computer Science B

From playlist Computing Trigonometric Function Values

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Determine Sets Involving Unions, Intersections, and Compliments Using a Venn Diagram

This video explains how to determine a variety of sets involving intersections, unions, and compliments using a Venn diagram.

From playlist Sets (Discrete Math)

Related pages

Topological space | Heinz Hopf | Homotopy | Group (mathematics) | Algebraic topology | Suspension (topology) | Cohomology | Duality (mathematics) | Group isomorphism | Pointed space | Circle | Eilenberg–MacLane space | Mathematics | Set (mathematics) | Function (mathematics) | Codimension | Category theory | Cobordism | Category (mathematics) | Interior (topology) | Bijection | Compact space | Manifold | Abelian group