Satisfiability problems | Boolean algebra | NP-complete problems
In computer science, the planar 3-satisfiability problem (abbreviated PLANAR 3SAT or PL3SAT) is an extension of the classical Boolean 3-satisfiability problem to a planar incidence graph. In other words, it asks whether the variables of a given Boolean formula—whose incidence graph consisting of variables and clauses can be embedded on a plane—can be consistently replaced by the values TRUE or FALSE in such a way that the formula evaluates to TRUE. If this is the case, the formula is called satisfiable. On the other hand, if no such assignment exists, the function expressed by the formula is FALSE for all possible variable assignments and the formula is unsatisfiable. For example, the formula "a AND NOT b" is satisfiable because one can find the values a = TRUE and b = FALSE, which make (a AND NOT b) = TRUE. In contrast, "a AND NOT a" is unsatisfiable. Like 3SAT, PLANAR-SAT is NP-complete, and is commonly used in reductions. (Wikipedia).
Planar graphs, What are planar graphs? In this video we take a look at what a planar graph is and how Mathematica can check to see if a graph is planar. In short, a planar graph is one that can be drawn in the plane such that no edges cross. If you want to learn more about Mathematica,
From playlist Introducing graph theory
Regions In A Planar Graph - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Planar Graphs - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
From playlist M. Graph Theory
Introduction to Planar Graphs and Euler's Formula
This video introduces planar graphs and Euler's formula. http://mathispower4u.com
From playlist Graph Theory (Discrete Math)
Planar Graphs - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Graph Theory: 57. Planar Graphs
A planar graph is a graph that can be drawn in the plane without any edge crossings. Such a drawing (with no edge crossings) is called a plane graph. A given plane graph divides the plane into regions and each region has a boundary that outlines it. We look at some examples and also giv
From playlist Graph Theory part-10
This video describes some of the basic properties of planar graphs.
From playlist Basics: Graph Theory
Singular Learning Theory - Seminar 28 - Matt Farrugia-Roberts on his MSc thesis Pt 3
This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. This week Matt gives the third talk on his MSc thesis "Structural Degeneracy in Neural Networks" covering: - What is NP? Why SAT is NP-complete
From playlist Singular Learning Theory
Using a set of points determine if the figure is a parallelogram using the midpoint formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Singular Learning Theory - Seminar 14 - Matt Farrugia-Roberts on complexity of rank estimation
This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. In this seminar Matt Farrugia-Roberts explains some of the results from his upcoming MSc thesis on the relation between computational complexity
From playlist Singular Learning Theory
Hierarchies of contact manifolds via rational SFT - Zhengyi Zhou
IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Hierarchies of contact manifolds via rational SFT Speaker: Zhengyi Zhou Affiliation: Member, School of Mathematics Date: December 11, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Yvan Velenik - Nonperturbative analysis of noncritical Ising models: some applications of the (...)
In its modern incarnation (developed during the last two decades), Ornstein-Zernike theory enables a non-perturbative analysis of non-critical ferromagnetic Ising models (and other models). I'll review some of its recent applications to the asymptotics of correlation functions (in any dime
From playlist 100…(102!) Years of the Ising Model
Session 3 - Anomalous Dimensions of Heavy Operators from Magnon Energies: Robert de Mello Koch
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
MIT 6.890 Algorithmic Lower Bounds: Fun with Hardness Proofs, Fall 2014 View the complete course: http://ocw.mit.edu/6-890F14 Instructor: Erik Demaine In this lecture, Professor Demaine introduces planar versions of 3SAT, proving these versions are NP-hard. License: Creative Commons BY-N
From playlist MIT 6.890 Algorithmic Lower Bounds, Fall 2014
Planar motion example: acceleration vector | Advanced derivatives | AP Calculus BC | Khan Academy
Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/math/ap-calculus-bc/bc-advanced-functions-new/bc-9-6/e/planar-motion-differential-calc The position of a particle moving in the xy-plane is given by the position vector (-3t_+4t_,t_+2). Sa
From playlist Applications of derivatives | AP Calculus BC | Khan Academy
Motion along a curve: finding rate of change | Advanced derivatives | AP Calculus BC | Khan Academy
Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/math/ap-calculus-bc/bc-advanced-functions-new/bc-9-6/v/motion-along-a-curve-example-2 Given that a particle moves along the implicit curve x_y_=16 and given its rate of change with respect
From playlist Applications of derivatives | AP Calculus BC | Khan Academy
Planar motion (with integrals) | Applications of definite integrals | AP Calculus BC | Khan Academy
To analyze planar motion where the rate vector is given, we need to find the displacement in each direction separately. Then we will either use that to find the new position, or to find the magnitude of the displacement using the Pythagorean theorem. Practice this lesson yourself on KhanA
From playlist Applications of definite integrals | AP Calculus BC | Khan Academy
Regions In A Planar Graph Solution - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015