Axiomatic quantum field theory | Theorems in complex analysis | Several complex variables | Theorems in mathematical physics
In mathematics, Bogoliubov's edge-of-the-wedge theorem implies that holomorphic functions on two "wedges" with an "edge" in common are analytic continuations of each other provided they both give the same continuous function on the edge. It is used in quantum field theory to construct the analytic continuation of Wightman functions. The formulation and the first proof of the theorem were presented by Nikolay Bogoliubov at the International Conference on Theoretical Physics, Seattle, USA (September, 1956) and also published in the book Problems in the Theory of Dispersion Relations. Further proofs and generalizations of the theorem were given by R. Jost and H. Lehmann (1957), F. Dyson (1958), H. Epstein (1960), and by other researchers. (Wikipedia).
Proof: The Angle Bisector Theorem
This video states and proves the angle bisector theorem. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Relationships with Triangles
Angle-Angle Triangle Similarity Theorem: Dynamic Proof
Link: https://www.geogebra.org/m/Q8EYTUK2
From playlist Geometry: Dynamic Interactives!
Proof: The Angle Bisector Theorem Converse
This video states and proves the angle bisector theorem converse. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Relationships with Triangles
Inscribed Angle Theorem: Proof Without Words
Link: https://www.geogebra.org/m/PgjnhjJF
From playlist Geometry: Dynamic Interactives!
I introduce the Angle Bisector Theorem and prove it, introduce the Converse of the Angle Bisector Theorem, and finish by working through two examples. EXAMPLES AT 0:20 9:40 15:19 Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to s
From playlist Geometry
The Triangle Angle Bisector Theorem
This video states and proves the triangle angle bisector theorem. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Similarity
Angle Side / Base-Angle Theorem - Two Column Proofs
This geometry video tutorial explains how to use the angle side theorem also known as the base-angle theorem in two column proofs. The angle side theorem states that if two sides of a triangle are congruent, the angles are congruent and vice versa. This theorem typically applies to an is
From playlist Geometry Video Playlist
Angle Bisector Theorem Video Lecture
From playlist Geometry
Determine the values of two angles that lie on a lie with a third angle
👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
Lecture 16: Discrete Curvature I (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858
Combinatorial methods for PIT (and ranks of matrix spaces) - Roy Meshulam
Optimization, Complexity and Invariant Theory Topic: Combinatorial methods for PIT (and ranks of matrix spaces) Speaker: Roy Meshulam Affiliation: Technion Date: June 8. 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Henry Adams (8/30/21): Vietoris-Rips complexes of hypercube graphs
Questions about Vietoris-Rips complexes of hypercube graphs arise naturally from problems in genetic recombination, and also from Kunneth formulas for persistent homology with the sum metric. We describe the homotopy types of Vietoris-Rips complexes of hypercube graphs at small scale param
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
Francis BROWN - Graph Complexes, Invariant Differential Forms and Feynman integrals
Kontsevich introduced the graph complex GC2 in 1993 and raised the problem of determining its cohomology. This problem is of renewed importance following the recent work of Chan-Galatius-Payne, who related it to the cohomology of the moduli spaces Mg of curves of genus g. It is known by Wi
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
KPZ line ensemble - Ivan Corwin
Ivan Corwin Clay Mathematics Institute, Columbia University and MIT December 4, 2013 We construct a KPZtKPZt line ensemble -- a natural number indexed collection of random continuous curves which satisfies a resampling invariance called the H-Brownian Gibbs property (with H(x)=exH(x)=ex) a
From playlist Mathematics
Tony Bahri, Research talk - 10 February 2015
Tony Bahri (Rider University) - Research talk http://www.crm.sns.it/course/4350/ I shall describe geometric and algebraic approaches to the computation of the cohomology of polyhedral products arising from homotopy theory. A report on joint work with Martin Bendersky, Fred Cohen and Sam G
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
AlgTop15: Rational curvature of a polytope
We use our new normalization of angle called turn-angle, or "tangle" to define the curvature of a polygon P at a vertex A. This number is obtained by studying the opposite cone at the vertex A, whose faces are perpendicular to the edges of P meeting at A. A classical theorem of Harriot on
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Lecture 9: Discrete Exterior Calculus (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858
Causality and Entanglement in Holography - The Connected Wedge Theorem Revisited - Jonathan Sorce
IAS It from Qubit Workshop Workshop on Spacetime and Quantum Information Tuesday December 6, 2022 Wolfensohn Hall One puzzling aspect of holography is that it conjectures a duality between a physical theory with a single rigid causal structure (the non-gravitational "boundary theory") and
From playlist IAS It from Qubit Workshop - Workshop on Spacetime and Quantum December 6-7, 2022
Henry Adams (10/11/17): Metric reconstruction via optimal transport
Given a sample of points X in a metric space M and a scale parameter r, the Vietoris-Rips simplicial complex VR(X;r) is a standard construction to attempt to recover M from X up to homotopy type. A deficiency of this approach is that VR(X;r) is not metrizable if it is not locally finite, a
From playlist AATRN 2017
This video states and investigates the triangle inequality theorem. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Relationships with Triangles