In mathematics, specifically in order theory and functional analysis, the order dual of an ordered vector space is the set where denotes the set of all positive linear functionals on , where a linear function on is called positive if for all implies The order dual of is denoted by . Along with the related concept of the order bound dual, this space plays an important role in the theory of ordered topological vector spaces. (Wikipedia).
22 Combinations of binary operations
The left- and right distributive properties of the combination of binary operations.
From playlist Abstract algebra
Math 101 090817 Introduction to Analysis 04 Ordered fields
Ordered sets. Examples. Ordered fields. Properties of ordered fields.
From playlist Course 6: Introduction to Analysis (Fall 2017)
14_9 The Volume between Two Functions
Calculating the volume of a shape using the double integral. In this example problem a part of the volume is below the XY plane.
From playlist Advanced Calculus / Multivariable Calculus
11_8_1 Higher Order Partial Derivatives Part 1
Just as there are second, third, and higher-order derivatives in single variable calculus, so there are higher-order partial derivatives in multivariable calculus. the only differences being that these are partial derivatives and the can be combined in certain orders.
From playlist Advanced Calculus / Multivariable Calculus
Integration 7 Integrating the Product of Functions Part 2 Example 1
Working through an example of the reverse of the product rule for integration.
From playlist Integration
Examples of Binary Operations (and Non-Examples) | Abstract Algebra
What are binary operations? A binary operation is a function from the cartesian product of a set with itself back to that same set. In other words, a binary operations takes two elements from the same set and assigns the ordered pair of them to exactly one element also in that set (since i
From playlist Abstract Algebra
Intermediate Algebra-Inverse Functions
Intermediate Algebra-Inverse Functions
From playlist Intermediate Algebra
Functional Analysis Lecture 03 2014 01 28 Dual Banach Spaces
Weak derivatives; Sobolev space. Dual Banach Spaces: linear functionals; bounded linear functionals; continuous linear functionals; dual space; dual space norm; equivalence of boundedness and continuity for linear functionals; dual Banach space is complete
From playlist Course 9: Basic Functional and Harmonic Analysis
Integration 7 Integrating the Product of Functions Part 2 Example 2
Working through an example using the reverse product rule for integration.
From playlist Integration
Rings 12 Duality and injective modules
This lecture is part of an online course on rings and modules. We descibe some notions of duality for modules generalizing the dual of a vector space. We first discuss duality for free and projective modules, which is very siilar to the vector space case. Then we discuss duality for finit
From playlist Rings and modules
Nicki Holighaus: Time-frequency frames and applications to audio analysis - Part 1
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Analysis and its Applications
CTNT 2022 - p-adic Fourier theory and applications (by Jeremy Teitelbaum)
This video is one of the special guess talks or conference talks that took place during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. Note: not every special guest lecture or conference lecture was recorded. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - Conference lectures and special guest lectures
Linear and Quadratic Optimization Models
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Paritosh Mokhasi Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices,
From playlist Wolfram Technology Conference 2018
Gerald Dunne: Quantum geometry and resurgent perturbative/nonperturbative relations
Abstract: Certain quantum spectral problems have the remarkable property that the formal perturbative series for the energy spectrum can be used to generate all other terms in the entire trans-series, in a completely constructive manner. I explain a geometric all-orders WKB approach to the
From playlist Mathematical Physics
Foundations of QM: Introduction Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discussing the material on the forums: https://www.patreon.com/XYLYXYLYX
From playlist Mathematical Foundations of Quantum Mechanics
Introduction to additive combinatorics lecture 7.3 -- dual groups and the discrete Fourier transform
The discrete Fourier transform is a fundamental tool in additive combinatorics that makes it possible to prove many interesting results that would be very hard or even impossible to prove otherwise. Here I discuss the characters on a finite Abelian group G, prove that they are orthogonal a
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Aaron Sidford: Introduction to interior point methods for discrete optimization, lecture III
Over the past decade interior point methods (IPMs) have played a pivotal role in mul- tiple algorithmic advances. IPMs have been leveraged to obtain improved running times for solving a growing list of both continuous and combinatorial optimization problems including maximum flow, bipartit
From playlist Summer School on modern directions in discrete optimization
Aaron Sidford: Introduction to interior point methods for discrete optimization, lecture II
Over the past decade interior point methods (IPMs) have played a pivotal role in mul- tiple algorithmic advances. IPMs have been leveraged to obtain improved running times for solving a growing list of both continuous and combinatorial optimization problems including maximum flow, bipartit
From playlist Summer School on modern directions in discrete optimization
15 Properties of partially ordered sets
When a relation induces a partial ordering of a set, that set has certain properties with respect to the reflexive, (anti)-symmetric, and transitive properties.
From playlist Abstract algebra
Matthew Kennedy: Noncommutative convexity
Talk by Matthew Kennedy in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on May 5, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)