Several complex variables

Analytic polyhedron

In mathematics, especially several complex variables, an analytic polyhedron is a subset of the complex space Cn of the form where D is a bounded connected open subset of Cn, are holomorphic on D and P is assumed to be relatively compact in D. If above are polynomials, then the set is called a polynomial polyhedron. Every analytic polyhedron is a domain of holomorphy and it is thus pseudo-convex. The boundary of an analytic polyhedron is contained in the union of the set of hypersurfaces An analytic polyhedron is a Weil polyhedron, or Weil domain if the intersection of any k of the above hypersurfaces has dimension no greater than 2n-k. (Wikipedia).

Video thumbnail

What is the difference between convex and concave

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

Sketch a figure from a net

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

What are four types of polygons

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

What are convex polygons

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

What is a concave polygon

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

What is the difference between a regular and irregular polygon

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

Lecture 6 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd lectures on the localization and cutting-plane methods and then moves into the Analytic center cutting-plane methods. This course introduces topics su

From playlist Lecture Collection | Convex Optimization

Video thumbnail

Sketch a net from a 3D figure

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

Hermitian and Non-Hermitian Laplacians and Wave Equaions by Andrey shafarevich

Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys

From playlist Non-Hermitian Physics - PHHQP XVIII

Video thumbnail

Lecture 7 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd finishes his lecture on Analytic center cutting-plane method, and begins Ellipsoid methods. This course introduces topics such as subgradient, cutting

From playlist Lecture Collection | Convex Optimization

Video thumbnail

Klaus Künnemann: A tropical approach to non archimedean Arakelov theory I

The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic Geometry. (04.2.2014)

From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"

Video thumbnail

Lecture 12 | Convex Optimization I (Stanford)

Professor Stephen Boyd, of the Stanford University Electrical Engineering department, lectures on geometric problems in the context of electrical engineering and convex optimization for the course, Convex Optimization I (EE 364A). Convex Optimization I concentrates on recognizing and so

From playlist Lecture Collection | Convex Optimization

Video thumbnail

Lecture 5 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd introduces stochastic programing and the localization and cutting-plane methods. This course introduces topics such as subgradient, cutting-plane, and

From playlist Lecture Collection | Convex Optimization

Video thumbnail

Nets of polyhedra | Perimeter, area, and volume | Geometry | Khan Academy

We know...."nets of polyhedra" sounds like the title of a bad sci-fi movie about man-eating, muti-headed fish. A polyhedron ("polyhedra" is plural) is nothing more than a 3 dimensional shape with flat surfaces and straight edges (think: cube) Practice this lesson yourself on KhanAcademy.o

From playlist High School Geometry | High School Math | Khan Academy

Video thumbnail

What is the difference between convex and concave polygons

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

What is a net

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

Twitch Talks - Polygons & Polyhedra

Presenter: Charles Pooh Wolfram Research developers demonstrate the new features of Version 12 of the Wolfram Language that they were responsible for creating. Previously broadcast live on June 13, 2019 at twitch.tv/wolfram. For more information, visit: https://www.wolfram.com/language/12

From playlist Twitch Talks

Video thumbnail

What is a polygon and what is a non example of a one

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Video thumbnail

Boris Apanasov: Non-rigidity for Hyperbolic Lattices and Geometric Analysis

Boris Apanasov, University of Oklahoma Title: Non-rigidity for Hyperbolic Lattices and Geometric Analysis We create a conformal analogue of the M. Gromov-I. Piatetski-Shapiro interbreeding construction to obtain non-faithful representations of uniform hyperbolic 3-lattices with arbitrarily

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

Related pages

Complex coordinate space | Oka–Weil theorem | Bergman–Weil formula | Mathematics | Domain of holomorphy | Behnke–Stein theorem | Function of several complex variables | Holomorphic function