Algebraic logic

Cylindric algebra

In mathematics, the notion of cylindric algebra, invented by Alfred Tarski, arises naturally in the algebraization of first-order logic with equality. This is comparable to the role Boolean algebras play for propositional logic. Cylindric algebras are Boolean algebras equipped with additional cylindrification operations that model quantification and equality. They differ from polyadic algebras in that the latter do not model equality. (Wikipedia).

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Linear Transformations: Onto

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

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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

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12A Equations of a Plane

Using the general and vector forms of the equation of a plane from the normal and a point, or two points on the plane.

From playlist Linear Algebra

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What is linear algebra?

This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.

From playlist Linear algebra: theory and implementation

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Cycloid

#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)

From playlist Miscellaneous

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Algebra for Beginners | Basics of Algebra

#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten

From playlist Linear Algebra

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11C The Norm of a Vector

The normal or length of a vector.

From playlist Linear Algebra

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Live CEOing Ep 396: Calculus & Algebra Features Design Review for Wolfram Language

In this episode of Live CEOing, Stephen Wolfram reviews the design of upcoming algebra and calculus functionality for the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch chan

From playlist Behind the Scenes in Real-Life Software Design

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Denis Osin: Acylindrically hyperbolic groups (part 2)

The lecture was held within the framework of Follow-up Workshop TP Rigidity. 30.4.2015

From playlist HIM Lectures 2015

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7A_1 Linear Algebra Definitons

Definitions used in linear algebra

From playlist Linear Algebra

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Quantitative bounds on the topology of semi-algebraic and (...) - S. Basu - Workshop 1 - CEB T1 2018

Saugata Basu (Purdue) / 02.02.2018 Quantitative bounds on the topology of semi-algebraic and definable sets I will survey some old and new results on bounding the topology of semi-algebraic and definable sets in terms of various parameters of their defining formulas, and indicate how som

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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Ole Warnaar: Cylindric partitions and character identities

Abstract: As was shown in the 1980s by Kac, Peterson and Wakimoto, the characters of infinite dimensional Lie algebras provide a rich source of modular forms. Finding manifestly positive expressions for such characters remains, however, a difficult open problem. In this talk I will describ

From playlist Number Theory Down Under 9

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James Davenport - How to prove a calculation correct? - IPAM at UCLA

Recorded 16 February 2023. James Davenport of the University of Bath presents "How to prove a calculation correct?" at IPAM's Machine Assisted Proofs Workshop. Abstract: How might one prove a calculation correct. The usual approach is to prove the algorithm correct, prove that the implemen

From playlist 2023 Machine Assisted Proofs Workshop

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Denis Osin: Acylindrically hyperbolic groups (part 1)

The lecture was held within the framework of Follow-up Workshop TP Rigidity. 28.4.2015

From playlist HIM Lectures 2015

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Volume in cylindrical coordinates | MIT 18.02SC Multivariable Calculus, Fall 2010

Volume in cylindrical coordinates Instructor: Joel Lewis View the complete course: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.02SC: Homework Help for Multivariable Calculus

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Linear Algebra for Beginners

Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. Topic covered: Vectors: Basic vectors notation, adding, scaling (0:0

From playlist Linear Algebra

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Moments of Inertia of Rigid Objects with Shape

The moment of inertia of a system of particles equation is used to estimate six different moments of inertia of rigid objects with constant density. Want Lecture Notes? https://www.flippingphysics.com/moment-of-inertia-eggs.html This is an AP Physics 1 topic. 0:00 Intro 0:10 Visualizing t

From playlist AP Physics 1 - EVERYTHING!!

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Vortices on Non-compact Riemann Surfaces by Sushmita Venugopalan

PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie

From playlist Vortex Moduli - 2023

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Vortex equation and gauged sigma model - Guangbo Xu

Symplectic Dynamics/Geometry Seminar Topic: Vortex equation and gauged sigma model Speaker: Guangbo Xu Affiliation: Simons Center for Geometry and Physics Date: January 28, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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The Lie-algebra of Quaternion algebras and their Lie-subalgebras

In this video we discuss the Lie-algebras of general quaternion algebras over general fields, especially as the Lie-algebra is naturally given for 2x2 representations. The video follows a longer video I previously did on quaternions, but this time I focus on the Lie-algebra operation. I st

From playlist Algebra

Related pages

Equality (mathematics) | Isomorphism | Lambda calculus | Functional predicate | Field of sets | Many-sorted logic | Empty set | Ordinal number | Alfred Tarski | Cylindrical algebraic decomposition | Mathematics | Algebraic logic | Notre Dame Journal of Formal Logic | Relation algebra | Polyadic algebra | Category theory | Existential quantification | Monadic Boolean algebra | Abstract algebraic logic | Combinatory logic | Boolean algebra (structure)