Modal logic | Mathematical logic | Closure operators | Boolean algebra | Algebraic structures
In abstract algebra, an interior algebra is a certain type of algebraic structure that encodes the idea of the topological interior of a set. Interior algebras are to topology and the modal logic S4 what Boolean algebras are to set theory and ordinary propositional logic. Interior algebras form a variety of modal algebras. (Wikipedia).
16 You have made it to the first exciting video Operations
To be honest, the topics have been very dry up to now. Here is the first bit of excitement. Operations. Understanding operations is a fundamental priority in abstract algebra.
From playlist Abstract algebra
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
Linear Algebra 6.1 Inner Products
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra
13E A Matrix Equation for the Dot Product
Writing the Euclidean inner product in the form of matrix multiplication.
From playlist Linear Algebra
Linear Algebra Full Course for Beginners to Experts
Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of l
From playlist Linear Algebra
Inner & outer products | Lecture 5 | Matrix Algebra for Engineers
Definition of an inner and outer product of two column vectors. Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?su
From playlist Matrix Algebra for Engineers
In this tutorial I show a few more notations and share a few more thoughts on mappings.
From playlist Abstract algebra
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
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
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
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
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
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)
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
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
From playlist College Algebra
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