In mathematical logic, monadic second-order logic (MSO) is the fragment of second-order logic where the second-order quantification is limited to quantification over sets. It is particularly important in the logic of graphs, because of Courcelle's theorem, which provides algorithms for evaluating monadic second-order formulas over graphs of bounded treewidth. It is also of fundamental importance in automata theory, where the Büchi-Elgot-Trakhtenbrot theorem gives a logical characterization of the regular languages. Second-order logic allows quantification over predicates. However, MSO is the fragment in which second-order quantification is limited to monadic predicates (predicates having a single argument). This is often described as quantification over "sets" because monadic predicates are equivalent in expressive power to sets (the set of elements for which the predicate is true). (Wikipedia).
2nd Order Differential Equation The Characteristic Equation
We demonstrate how to solve a 2nd order, linear, homogeneous differential equation with constant coefficients with "guess and check," and the characteristic equation.
From playlist Mathematical Physics I Uploads
Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 2
This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations. Site: http://mathispower4u
From playlist Second Order Differential Equations: Reduction of Order
Second-order differential equations: how to solve.
Free ebook http://tinyurl.com/EngMathYT A lecture on how to solve second order, ordinary differential equations with constant coefficients and a zero right-hand side (homogeneous). The practical analysis mostly involves examining the roots of the associated quadratic equation (characteris
From playlist Differential equations
Linear Second Order Homogeneous Differential Equations - (two distict real roots)
This is a lesson on linear second order homogeneous differential equations with constant coefficients when the characteristic equations has two real distinct roots. Site: http://mathispower4u.com
From playlist Linear Second Order Homogeneous Differential Equations (Constant Coefficients)
Ex: Solve a Second Order Cauchy-Euler DE Initial Value Problem (2 equal real)
This video explains how to solve an initial value problem involving a second order Cauchy-Euler differential equation initial value problem. http://mathispower4u.com
From playlist Second Order Homogeneous Cauchy-Euler Differential Equations
Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 1
This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations. Site: http://mathispower4u
From playlist Second Order Differential Equations: Reduction of Order
Physics - Thermodynamics: (2 of 14) What is the Second Law of Thermodynamics? (No 100% Efficiency)
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the 2nd Law of Thermodynamics (no 100% efficiency).
From playlist PHYSICS - THERMODYNAMICS
Diego Figueira: Semistructured data, Logic, and Automata – lecture 2
Semistructured data is an umbrella term encompassing data models which are not logically organized in tables (i.e., the relational data model) but rather in hierarchical structures using markers such as tags to separate semantic elements and data fields in a ‘self-describing’ way. In this
From playlist Logic and Foundations
Solve second order differential equation by substitution, Q10 on review sheet
Solve second order differential equation by substitution, 2nd order differential equation with variable coefficients, Differential equation by substitution, second order linear differential equations, blackpenredpen
From playlist First Order Differential Equations Review
Monads are a uniquely powerful tool for solving common problems in your programs. If we can cut through all the jargon and notation, we really supercharge our problem-solving with monads. Kyle will help us solve our monad problems! EVENT / SPEAKER: ThunderPlains 2020 / Kyle Simpson PUBLI
From playlist Functional Programming
RubyConf 2021 - Service Objects With Dry.rb: Monads and Transactions by Paul Sadauskas
Service objects are an important tool in your toolbox, and Dry.rb's Transaction library is one of the most powerful, and one of the most magic. It's a "business transaction" DSL, and has error handling as a primary concern. We'll start by exploring Monads in Ruby (they're not scary!). Then
From playlist RubyConf 2021
Solve a Bernoulli Differential Equation (Part 1)
This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Functional Programming with JavaScript
Functional Programming is becoming increasingly popular and relevant with each year that goes by. With so much discussion around languages such as F#, Haskell and Erlang, it can seem as though getting started with Functional programming would mean first learning a whole new syntax...but wh
From playlist JavaScript
Functional Programming with JavaScript
Functional Programming is becoming increasingly popular and relevant with each year that goes by. With so much discussion around languages such as F#, Haskell and Erlang, it can seem as though getting started with Functional programming would mean first learning a whole new syntax...but wh
From playlist JavaScript
Substructural Type Theory - Zeilberger
Noam Zeilberger IMDEA Software Institute; Member, School of Mathematics March 22, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Why Algebraic Data Types Are Important
Strong static typing detects a lot of bugs at compile time, so why would anyone prefer to program in JavaScript or Python? The main reason is that type systems can be extremely complex, often with byzantine typing rules (C++ comes to mind). This makes generic programming a truly dark art.
From playlist Functional Programming
Bruno Courcelle: Recognizable sets of graphs: algebraic and logical aspects
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 Mathematical Aspects of Computer Science
Type Systems - Vladimir Voevodsky
Vladimir Voevodsky Institute for Advanced Study November 21, 2012
From playlist Mathematics
Foundations S2 - Seminar 9 - Morgan Rogers on Morita equivalences and topological monoids
In this guest lecture, Morgan Rogers presents some results on topological monoids, topoi and Morita equivalences. Abstract: This talk presents the story which convinced me that logic has something positive to contribute in resolving questions in other areas of mathematics. Groups (and mor
From playlist Foundations seminar
Linear Second Order Homogeneous Differential Equations - (complex roots)
This is a lesson on linear second order homogeneous differential equations with constant coefficients when the characteristic equations has two complex roots. Site: http://mathispower4u.com
From playlist Linear Second Order Homogeneous Differential Equations (Constant Coefficients)