Convex analysis | Functional analysis | Mathematical analysis | Topology

Algebraic interior

In functional analysis, a branch of mathematics, the algebraic interior or radial kernel of a subset of a vector space is a refinement of the concept of the interior. (Wikipedia).

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Algebraic Expressions (Basics)

This video is about Algebraic Expressions

From playlist Algebraic Expressions and Properties

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Homotopy animation

An interesting homotopy (in fact, an ambient isotopy) of two surfaces.

From playlist Algebraic Topology

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23 Algebraic system isomorphism

Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.

From playlist Abstract algebra

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Algebraic geometry 44: Survey of curves

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives an informal survey of complex curves of small genus.

From playlist Algebraic geometry I: Varieties

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FIT2.3.3. Algebraic Extensions

Field Theory: We define an algebraic extension of a field F and show that successive algebraic extensions are also algebraic. This gives a useful criterion for checking algberaic elements. We finish with algebraic closures.

From playlist Abstract Algebra

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What is... an elliptic curve?

In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were

From playlist An Introduction to the Arithmetic of Elliptic Curves

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AlgTopReview: An informal introduction to abstract algebra

This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces for those of you who have not studied these objects before, and perhaps gives an overview for those of you who have. Our treatment is

From playlist Algebraic Topology

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algebraic geometry 31 Rational maps

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of rational functions and rational maps, and gives an example of a cubic curve that is not birational to the affine line.

From playlist Algebraic geometry I: Varieties

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Complex numbers and curves | Math History | NJ Wildberger

In the 19th century, the study of algebraic curves entered a new era with the introduction of homogeneous coordinates and ideas from projective geometry, the use of complex numbers both on the curve and at infinity, and the discovery by the great German mathematician B. Riemann that topolo

From playlist MathHistory: A course in the History of Mathematics

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Find Interior and Exterior Angle in a Regular Polygon

In this video we discuss 3 examples showing you how to find the interior and exterior angle in a regular polygon. Join this channel to help support this free YouTube content: https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join Take Your Learning to the Next Level with Me (with

From playlist Geometry

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Parallel Lines and Angle Pairs

Introduce and prove theorems involving angle pairs formed by parallel lines and transversals. Demonstrate two-column proofs and work out problems with algebraic expressions.

From playlist Geometry

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Parallel Lines and Transversals – Find the Angles

How to find the angles of a parallel lines and transversal - alternate interior angles, vertical angles, corresponding angles, same side interior angles. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand mat

From playlist GED Prep Videos

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Metric Spaces Proof: The Interior of Y is Open

Let X be a metric space and Y a subset of X. In this video I prove that the interior of Y, denoted int(Y), is an open subset of X. Recall that the interior of Y is the set of all of the interior points of Y. Also recall that we say that x in X is an interior point of Y if there is an open

From playlist Metric Spaces

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Find the Sum of the Interior Angles - Polygon

TabletClass Math: https://tcmathacademy.com/ How to find the sum of the interior angles of a convex polygon. 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: Pre-Alge

From playlist Geometry

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Forbidden Patterns in Tropical Planar Curves by Ayush Kumar Tewari

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the stu

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Understand Parallel Lines and Transversals in 15 min

https://tabletclass-academy.teachable.com/p/tabletclass-math-geometry1 This video explains the geometry topic of parallel Lines and transversals.

From playlist Geometry

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Open Quantum Kirwan Map - Guangbo Xu

Princeton/IAS Symplectic Geometry Seminar Topic: Open Quantum Kirwan Map Speaker: Guangbo Xu Affiliation: Visiting Professor, School of Mathematics Date: March 26, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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05 Products sets and mappings

In this tutorial I cross the bridge between a standard algebraic function and products sets, as well as mappings. I show the three types of mappings, namely injective (one-to-one), surjective (onto), and their combination, a bijection.

From playlist Abstract algebra

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Are the lines parallel? (BECARFUL)

TabletClass Math: https://tcmathacademy.com/ How to determine if two lines are parallel using alternate interior angles. 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 GED Prep Videos

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