Control theory | Stochastic control
Witsenhausen's counterexample, shown in the figure below, is a deceptively simple toy problem in decentralized stochastic control. It was formulated by Hans Witsenhausen in 1968. It is a counterexample to a natural conjecture that one can generalize a key result of centralized linear–quadratic–Gaussian control systems—that in a system with linear dynamics, Gaussian disturbance, and quadratic cost, affine (linear) control laws are optimal—to decentralized systems. Witsenhausen constructed a two-stage linear quadratic Gaussian system where two decisions are made by decision makers with decentralized information and showed that for this system, there exist nonlinear control laws that outperform all linear laws. The problem of finding the optimal control law remains unsolved. (Wikipedia).
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From playlist Geometry
Bildmaß und Substitutionsformel
English version here: https://youtu.be/q3UgXso-1jw Abonniert den Kanal oder unterstützt ihn auf Steady: https://steadyhq.com/en/brightsideofmaths Offizielle Unterstützer in diesem Monat: - William Ripley - Petar Djurkovic - Mayra Sharif - Dov Bulka - Lukas Mührke Hier erzähle ich etwas
From playlist Maßtheorie und Integrationstheorie
6. Ch. 2, Sections 2.4 & 2.5. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 2, Sections 2.4 & 2.5. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.
From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy
CA Algebra I: Simple Logical Arguments
14-20, simple logical reasoning
From playlist California Standards Test: Algebra I
Obstruction de Brauer-Manin pour les surfaces (...) - Colliot-Thélène - Workshop 1 - CEB T2 2019
Jean-Louis Colliot-Thélène (Mathématiques, Université Paris-Sud) / 20.05.2019 Obstruction de Brauer-Manin pour les surfaces de Markoff C’est un problème difficile de décider quand une surface cubique affine a un point entier, et si les points entiers sont denses (en divers sens). Ghosh
From playlist 2019 - T2 - Reinventing rational points
Evaluating Arguments: Study Hall Writing Composition #9: ASU + Crash Course
How can we know if our argument for something is good? How can we know if someone else is presenting valuable information in their own argument? In evaluating the arguments of others, we’ll also get better at writing arguments ourselves. That’s what we’ll discuss today in Study Hall: Compo
From playlist Study Hall: Composition
The Riemann Hypothesis is one of the Millennium Prize Problems and has something to do with primes. What's that all about? Rather than another hand-wavy explanation, I've tried to put in some details here. Some grown-up maths follows. More information: http://www.claymath.org/publications
From playlist My Maths Videos
Testing Syllogisms by Counterexample // Lesson 24 [INTRODUCTORY LOGIC]
Although it can feel like there are infinitely many kinds of categorical syllogisms, in fact there are only 256, and of those, only 40 are valid. So how can we confirm which ones are valid and which ones are invalid, especially if we're not already familiar with the terms of the argument?
From playlist Introductory Logic
CA Geometry: Similar triangles 1 | Worked examples | Geometry | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/geometry-home/geometry-miscellaneous/geometry-worked-examples/v/ca-geometry-similar-triangles-1 10-14, similar triangles Watch the next lesson: https://www.khanac
From playlist Worked examples | Geometry | Khan Academy
I introduce the basic Properties of Real Numbers: Commutative Property of Addition and Multiplication, Associative Property of Addition and Multiplication, Identity Property of Multiplication, Identity Property of Addition, Zero Product Property, and Multiplying by Negative One. I also d
From playlist Algebra 1
How to Debug a Property Proving Counterexample
Property proving with Simulink Design Verifier™ is a static analysis technique that uses formal methods to prove whether a given property will always be valid. This technique can help you formally verify that specific requirements implemented in your design will always be met. If a propert
From playlist Embedded Systems | Developer Tech Showcase