Theoretical computer science | Formal methods
In computer science, formal methods are mathematically rigorous techniques for the specification, development, and verification of software and hardware systems. The use of formal methods for software and hardware design is motivated by the expectation that, as in other engineering disciplines, performing appropriate mathematical analysis can contribute to the reliability and robustness of a design. Formal methods employ a variety of theoretical computer science fundamentals, including logic calculi, formal languages, automata theory, control theory, program semantics, type systems, and type theory. (Wikipedia).
Basic Methods: We note the different methods of informal proof, which include direct proof, proof by contradiction, and proof by induction. We give proofs that sqrt(2) is irrational and that there are infinitely many primes, among others.
From playlist Math Major Basics
Introduction to Direct Proofs: If n is even, then n squared is even
This video introduces the mathematical proof method of direct proof provides an example of a direct proof. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Quantum Mechanics -- a Primer for Mathematicians
Juerg Frohlich ETH Zurich; Member, School of Mathematics, IAS December 3, 2012 A general algebraic formalism for the mathematical modeling of physical systems is sketched. This formalism is sufficiently general to encompass classical and quantum-mechanical models. It is then explained in w
From playlist Mathematics
Introduction to Common Mathematical Proof Methods
This video introduces the common methods of mathematical proofs and provides a basic example of a direct proof. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Formal verification and learning of complex systems - Professor Alessandro Abate
For slides, future Logic events and more, please visit: https://logic-data-science.github.io/?page=logic_learning Two known shortcomings of standard techniques in formal verification are the limited capability to provide system-level assertions, and the scalability to large-scale, complex
From playlist Logic and learning workshop
Physics Students Need to Know These 5 Methods for Differential Equations
Differential equations are hard! But these 5 methods will enable you to solve all kinds of equations that you'll encounter throughout your physics studies. Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up Sign up for my newsletter for additional physics les
From playlist Physics Help Room
Formal Definition of a Function using the Cartesian Product
Learning Objectives: In this video we give a formal definition of a function, one of the most foundation concepts in mathematics. We build this definition out of set theory. **************************************************** YOUR TURN! Learning math requires more than just watching vid
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
B01 An introduction to numerical methods
Most differential equations cannot be solved by the analytical techniques that we have learned up until now. I these cases, we can approximate a solution by a set of points, by using a variety of numerical methods. The first of these is Euler's method.
From playlist A Second Course in Differential Equations
Micaela Mayero - Overview of real numbers in theorem provers: application with real analysis in Coq
Recorded 15 February 2023. Micaela Mayero of the Galilee Institute - Paris Nord University presents "An overview of the real numbers in theorem provers: an application with real analysis in Coq" at IPAM's Machine Assisted Proofs Workshop. Abstract: Formalizing real numbers in a formal proo
From playlist 2023 Machine Assisted Proofs Workshop
Basic Methods of Proof -- How to do mathematical proofs (PART 5)
This is the third video on a series of videos on: How to do mathematical proofs. The course is structured in such a way to make the transition from applied-style problems in mathematics (sometimes referred to as engineering mathematics) to pure mathematics much smoother. In this video, w
From playlist How to do Mathematical Proofs
RubyHACK 2018: Interfaces Not Required by James Thompson
RubyHACK 2018: Interfaces Not Required by James Thompson Interfaces give classes a way to guarantee they behave in compatible ways. How can such a guarantee be afforded in Ruby without a language construct to provide it? Explore getting the same assurances through testing and behavior-ori
From playlist RubyHACK 2018
Fabian Immler : Verified numerics for ODEs in Isabelle/HOL
Abstract : This talk is about verified numerical algorithms in Isabelle/HOL, with a focus on guaranteed enclosures for solutions of ODEs. The enclosures are represented by zonotopes, arising from the use of affine arithmetic. Enclosures for solutions of ODEs are computed by set-based varia
From playlist Mathematical Aspects of Computer Science
Fabian Immler, Carnegie Mellon University Formal mathematics and a proof of chaos Formal proof has been successfully applied to the verification of hardware and software systems. But formal proof is also applicable to mathematics: proofs can be checked with ultimate rigor and one can bui
From playlist Fall 2019 Kolchin Seminar in Differential Algebra
C# Delegates Explained | C# Delegates And Events Tutorial | C# Delegates Example | Simplilearn
š„Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=CSharpDelegates-vOlLd2SsKM4&utm_medium=DescriptionFF&utm_source=youtube š„Caltech Coding Bootcamp (US Only): https://www.simplilearn.co
From playlist C# Training š„[2022 Updated]
Yi Zhang, University of Texas at Dallas Apparent Singularities of D-Finite Systems We generalize the notions of ordinary points and singularities from linear ordinary differential equations to D-finite systems. Ordinary points and apparent singularities of a D-finite system are character
From playlist Fall 2019 Kolchin Seminar in Differential Algebra
Kernel Recipes 2019 - Formal modeling made easy
Modeling parts of Linux has become a recurring topic. For instance, the memory model, the model for PREEMPT_RT synchronization, and so on. But the term āformal modelā causes panic for most of the developers. Mainly because of the complex notations and reasoning that involves formal languag
From playlist Kernel Recipes 2019
Kurt Gƶdel Centenary - Part I
Institute for Advanced Study November 17, 2006 Karl Sigmund (University of Vienna) Solomon Feferman (Stanford University) More videos on http://video.ias.edu
From playlist Kurt Gƶdel Centenary
PMP Communication Management | PMPĀ® Training Videos | Project Management Tutorial | Simplilearn
š„ Post Graduate Program In Project Management: https://www.simplilearn.com/pgp-project-management-certification-training-course?utm_campaign=ProjectCommunicationManagement-k8KjFuhzBaQ&utm_medium=DescriptionFF&utm_source=youtube š„ PMPĀ® Certification Training Course: https://www.simplilearn.
From playlist PMP Training Videos [2022 Updated]
There is a great deal of confusion about the term 'grammar'. Most people associate with it a book written about a language. In fact, there are various manifestations of this traditional term: presecriptive, descriptive and reference grammar. In theoretical linguistics, grammars are theory
From playlist VLC107 - Syntax: Part II
Michael Lindsey - Many-body perturbation theory and Green's function methods - IPAM at UCLA
Recorded 10 March 2022. Michael Lindsey of New York University Mathematics presents "Many-body perturbation theory and Green's function methods" at IPAM's Advancing Quantum Mechanics with Mathematics and Statistics Tutorials. Abstract: Beyond the single-particle picture of density function
From playlist Tutorials: Advancing Quantum Mechanics with Mathematics and Statistics - March 8-11, 2022