Theorems

List of theorems

This is a list of notable theorems. Lists of theorems and similar statements include: * List of fundamental theorems * List of lemmas * List of conjectures * List of inequalities * List of mathematical proofs * List of misnamed theorems Most of the results below come from pure mathematics, but some are from theoretical physics, economics, and other applied fields. (Wikipedia).

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Number Theory - Fundamental Theorem of Arithmetic

Fundamental Theorem of Arithmetic and Proof. Building Block of further mathematics. Very important theorem in number theory and mathematics.

From playlist Proofs

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Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

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Extended Fundamental Theorem of Calculus

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Extended Fundamental Theorem of Calculus. You can use this instead of the First Fundamental Theorem of Calculus and the Second Fundamental Theorem of Calculus. - Formula - Proof sketch of the formula - Six Examples

From playlist Calculus

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The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg

In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t

From playlist Algebraic Calculus One

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The Fundamental Theorem of Calculus and How to Use it

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Fundamental Theorem of Calculus and How to Use it

From playlist Calculus 1

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A theorem about isosceles -- Proofs

This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

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Calculus - The Fundamental Theorem, Part 3

The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.

From playlist Calculus - The Fundamental Theorem of Calculus

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First Fundamental Theorem of Calculus Calculus 1 AB

I introduce and define the First Fundamental Theorem of Calculus. I finish by working through 4 examples involving Polynomials, Quotients, Radicals, Absolute Value Function, and Trigonometric Functions. Check out http://www.ProfRobBob.com, there you will find my lessons organized by clas

From playlist Calculus

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Wolfram Physics Project: Working Session Aug 18, 2020 [Physicalization of Empirical Metamathematics]

This is a Wolfram Physics Project working session on empirical metamathematics and its physicalization. Begins at 3:00 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement

From playlist Wolfram Physics Project Livestream Archive

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Dimension

Use the result that all bases of a vector space have the same length to define the dimension of the vector space. Show that every linearly independent list of the right length is a basis. Also, every spanning list of the right length is a basis. The formula for the dimension of the sum of

From playlist Linear Algebra Done Right

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Introduction to the Coq Proof Assistant - Andrew Appel

Introduction to the Coq Proof Assistant - Andrew Appel Princeton University December 7, 2010 A "proof assistant" is a software package comprising a validity checker for proofs in a particular logic, accompanied by semi-decision procedures called "tactics" that assist the mathematician in

From playlist Mathematics

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Complex polynomials and their factors | Linear Algebra MATH1141 | N J Wildberger

We look at the arithmetic of complex polynomials, prove both the Factor theorem and the Remainder theorem, and discuss the contentious "Fundamental theorem of Algebra" from a computational perspective. ************************ Screenshot PDFs for my videos are available at the website htt

From playlist Higher Linear Algebra

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Topology is weird: The Ham Sandwich Theorem

Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free, and hurry—the first 200 people get 20% off an annual premium subscription. Today we talk about my favourite math theorem: the Ham Sandwich theorem. Consider a sandwich with three components. Then the theorem cla

From playlist Cool Math Series

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A unified view of Vector Calculus (Stoke's Theorem, Divergence Theorem & Green's Theorem)

In the final video of my vector calculus playlist (congrats to everyone for making it to the end!!!) I want to do a bit of an overview of the major theorems we have seen in this course - Stokes' Theorem, Divergence Theorem, Green's Theorem - all are part of a unified framework. Loosely, in

From playlist Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) **Full Course**

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The Fundamental Theorem of Line Integrals // Big Idea & Proof // Vector Calculus

Back in 1st year calculus we have seen the Fundamental Theorem of Calculus II, which loosely said that integrating the derivative of a function just gave the difference of the function at the endpoints. That is, what happened in the middle did not matter. In this video we upgrade to the Fu

From playlist Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) **Full Course**

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Automated Planar Geometry

This talk features Dan McDonald, Xiaofan Zhang, and Peter Barendse present updates to the automated geometric functionality of the Wolfram Language introduced in Version 12, including the functions GeometricScene, RandomInstance and FindGeometricConjectures, as well as present the Version

From playlist Wolfram Technology Conference 2020

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Stokes' Theorem // Geometric Intuition & Statement // Vector Calculus

We're finally at one of the core theorems of vector calculus: Stokes' Theorem. We've seen the 2D version of this theorem before when we studied Green's Theorem which compared the circulation around a 2D curve to integrating the circulation density along the region. In contrast, Stokes Theo

From playlist Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) **Full Course**

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Geometry - Ch. 3: Proofs (6 of 17) Theorems Needed for Proofs

Visit http://ilectureonline.com for more math and science lectures! In this video I will define what is a theorem. A theorem is a statement that can be proven. Once proven, it can be used in other proofs: congruence of segments. Congruence of angles congruence of angles, congruence or rig

From playlist GEOMETRY CH 3 PROOFS

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Let’s Learn The Rational Root Theorem….Step-by-Step….

TabletClass Math: https://tcmathacademy.com/ Math help with solving a polynomial equation using the rational root theorem. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes:

From playlist Pre-Calculus / Trigonometry

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theorem | Pappus's centroid theorem | Hairy ball theorem | Primitive element theorem | Integral transform | Shannon–Hartley theorem | Stone duality | Von Neumann algebra | Frobenius theorem (differential topology) | Universal coefficient theorem | Hales–Jewett theorem | Fundamental theorem of calculus | Kolmogorov extension theorem | Church–Rosser theorem | Lindström's theorem | Looman–Menchoff theorem | Intercept theorem | Sturm's theorem | Nielsen realization problem | Fraňková–Helly selection theorem | Hilbert–Schmidt theorem | Ionescu-Tulcea theorem | Gibbard–Satterthwaite theorem | Positive energy theorem | Tsen's theorem | Skolem–Noether theorem | List of lemmas | Hurwitz's theorem (complex analysis) | Monotone class theorem | Bézout's theorem | Bishop–Cannings theorem | Gelfond–Schneider theorem | Sard's theorem | Complex geometry | Intersecting secants theorem | Soul theorem | Haag's theorem | Hamiltonian mechanics | Compression theorem | Statistics | PCP theorem | Time hierarchy theorem | Sipser–Lautemann theorem | Brauer–Nesbitt theorem | Wigner–Eckart theorem | Conley–Zehnder theorem | Taylor's theorem | Preimage theorem | Dirichlet's theorem on arithmetic progressions | Hilbert's Nullstellensatz | Carleson–Jacobs theorem | Gauss–Bonnet theorem | Pseudorandom generator theorem | Chevalley's structure theorem | Homotopy theory | Local quantum field theory | Riemann–Roch theorem for smooth manifolds | Transcendental number theory | Cyclotomic field | Stone–Weierstrass theorem | Blum's speedup theorem | Finite group | Lucas's theorem | Principal axis theorem | Erdős–Gallai theorem | Monge's theorem | Minlos's theorem | Kodaira embedding theorem | Poincaré duality | P-adic analysis | Codd's theorem | Egorov's theorem | Reider's theorem | Thales's theorem | Newton's theorem (quadrilateral) | Group theory | Sophie Germain's theorem | Takagi existence theorem | Vieta's formulas | Ceva's theorem | Prime number theorem | Planar separator theorem | Algebraic group | Von Neumann's theorem | Crossbar theorem | Doob–Meyer decomposition theorem | Kolmogorov–Arnold–Moser theorem | Birkhoff–Grothendieck theorem | De Franchis theorem | Fredholm's theorem | Cameron–Martin theorem | Harmonic analysis | Savitch's theorem | Thompson uniqueness theorem | Lie's third theorem | Manin–Drinfeld theorem | Fixed-point theorems in infinite-dimensional spaces | Vitali set | Kanamori–McAloon theorem | Chomsky–Schützenberger representation theorem | Brauer's three main theorems | Goldberg–Sachs theorem | Caristi fixed-point theorem | Crystallography | Barbier's theorem | Brown's representability theorem | Eilenberg–Zilber theorem | Ostrowski's theorem | Walter theorem | Freudenthal suspension theorem | Structured program theorem | Subspace theorem | Entire function | Central limit theorem | Convex analysis | Inverse function theorem | Clapeyron's theorem (elasticity) | Carathéodory's theorem (convex hull) | Frobenius theorem (real division algebras) | Thompson transitivity theorem | Bolzano–Weierstrass theorem | Quillen–Suslin theorem | Mean value theorem | Milliken–Taylor theorem | Thomsen's theorem | Cayley–Hamilton theorem | Rauch comparison theorem | Combinatorial game theory | Stone–von Neumann theorem | Perpendicular axis theorem | Theorem of the cube | Weinberg–Witten theorem | Representation theory of finite groups | Malgrange preparation theorem | Saint-Venant's theorem | Steiner–Lehmus theorem | Tarski's plank problem | Altitude (triangle) | Bertrand's postulate | Faltings's theorem | Stallings–Zeeman theorem | Thébault's theorem | Riemann–Roch theorem | Skorokhod's representation theorem | Bonnet theorem | Fulton–Hansen connectedness theorem | Shift theorem | Ring theory | Pappus's hexagon theorem | Ramanujam vanishing theorem | Exterior angle theorem | Addition theorem | Feit–Thompson theorem | Katz–Lang finiteness theorem | Abstract algebra | Poincaré–Birkhoff–Witt theorem | Star of David theorem | Well-ordering theorem | Cut-elimination theorem | Structural complexity theory | Beckman–Quarles theorem | Analytic geometry | Topkis's theorem | Clifford's circle theorems | Marden's theorem