Model theory | Metalogic

Equisatisfiability

In Mathematical logic (a subtopic within the field of formal logic), two formulae are equisatisfiable if the first formula is satisfiable whenever the second is and vice versa; in other words, either both formulae are satisfiable or both are not. Equisatisfiable formulae may disagree, however, for a particular choice of variables. As a result, equisatisfiability is different from logical equivalence, as two equivalent formulae always have the same models. Whereas within equisatisfiable formulae, only the primitive proposition the formula imposes is valued. Equisatisfiability is generally used in the context of translating formulae, so that one can define a translation to be correct if the original and resulting formulae are equisatisfiable. Examples of translations involving this concept are Skolemization and some translations into conjunctive normal form. (Wikipedia).

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A03 Eigenvalues

The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.

From playlist A Second Course in Differential Equations

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A11 Eigenvalues with complex numbers

Eigenvalues which contain complex numbers.

From playlist A Second Course in Differential Equations

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A12 Changing the notation

Changing notation with complex eigenvalues.

From playlist A Second Course in Differential Equations

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Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show (in general) what is and how to find an eigenvector. Next video in this series can be seen at: https://youtu.be/SGJHiuRb4_s

From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS

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Lecture: Eigenvalues and Eigenvectors

We introduce one of the most fundamental concepts of linear algebra: eigenvalues and eigenvectors

From playlist Beginning Scientific Computing

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Eigenvalues | Eigenvalues and Eigenvectors

In this video, we work through some example computations of eigenvalues of 2x2 matrices. Including a case where the eigenvalues are complex numbers. We do not discuss any intuition or definition of eigenvalues or eigenvectors, we simply carry out some elementary computations. If you liked

From playlist Linear Algebra

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Petra Hozzova - Automation of Induction in Saturation - IPAM at UCLA

Recorded 17 February 2023. Petra Hozzova of Technische Universität Wien, Institute of Logic and Computation, presents "Automation of Induction in Saturation" at IPAM's Machine Assisted Proofs Workshop. Abstract: Induction in saturation-based first-order theorem proving is a new exciting di

From playlist 2023 Machine Assisted Proofs Workshop

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Math 060 Fall 2017 112217C Diagonalization Part 2

Review: the matrix representation of a matrix with respect to an eigenvector basis is a diagonal matrix of eigenvalues. Definition: diagonalizable matrix. Alternate proof of the fact that a matrix is diagonalizable iff there exists an eigenvector basis. Exercise: diagonalize a matrix.

From playlist Course 4: Linear Algebra (Fall 2017)

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Linear Algebra - Lecture 33 - Eigenvectors and Eigenvalues

In this lecture, we define eigenvectors and eigenvalues of a square matrix. We also prove a couple of useful theorems related to these concepts.

From playlist Linear Algebra Lectures

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Live CEOing Ep 559: Language Design in Wolfram Language [FindEquationalProof & ProofGraph]

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From playlist Behind the Scenes in Real-Life Software Design

Related pages

Mathematical logic | Logical equivalence | Conjunctive normal form