Entropy and information | Probability assessment | Bayesian statistics | Statistical principles | Mathematical principles

Principle of maximum caliber

The principle of maximum caliber (MaxCal) or maximum path entropy principle, suggested by E. T. Jaynes, can be considered as a generalization of the principle of maximum entropy. It postulates that the most unbiased probability distribution of paths is the one that maximizes their Shannon entropy. This entropy of paths is sometimes called the "caliber" of the system, and is given by the path integral (Wikipedia).

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Maximum and Minimum

Maximum and Minimum of a set In this video, I define the maximum and minimum of a set, and show that they don't always exist. Enjoy! Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh

From playlist Real Numbers

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Maximum Principle

Maximum principle for heat equation In this video, I present the maximum principle, which is a very interesting property of the heat equation: Namely the largest (and smallest) value of solutions is attained either initially, or on the sides! Check out my PDE Playlist: https://www.yout

From playlist Partial Differential Equations

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Maximum modulus principle

Maximum modulus principle In this video, I talk about the maximum modulus principle, which says that the maximum of the modulus of a complex function is attained on the boundary. I also show that the same thing is true for the real and imaginary parts, and finally I discuss the strong max

From playlist Complex Analysis

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Maximum principle for PDE

Free ebook https://bookboon.com/en/partial-differential-equations-ebook What is the maximum principle for partial differential equations and how is it useful? The main result is presented and proved. Such ideas have important applications to understanding the behaviour of solutions to pa

From playlist Partial differential equations

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Maximum and Minimum Values (Closed interval method)

A review of techniques for finding local and absolute extremes, including an application of the closed interval method

From playlist 241Fall13Ex3

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Calculus: Absolute Maximum and Minimum Values

In this video, we discuss how to find the absolute maximum and minimum values of a function on a closed interval.

From playlist Calculus

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Absolute Maximum/Minimum (1 of 2: Domain restricted polynomial)

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From playlist Applications of Differentiation

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Extreme Value Theorem Using Critical Points

Calculus: The Extreme Value Theorem for a continuous function f(x) on a closed interval [a, b] is given. Relative maximum and minimum values are defined, and a procedure is given for finding maximums and minimums. Examples given are f(x) = x^2 - 4x on the interval [-1, 3], and f(x) =

From playlist Calculus Pt 1: Limits and Derivatives

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Gonzalo Contreras: Ergodic optimization - lecture 2

We will show the proof that for generic Lipschitz functions on an expanding map there is a unique maximizing measure, and it is supported on a periodic orbit. Recording during the meeting "Dynamics beyond uniform hyperbolicity" the May 23, 2019 at the Centre International de Rencontres Ma

From playlist Dynamical Systems and Ordinary Differential Equations

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Absolute Maximum and Minimum Values of a Function - Calculus I

This video teaches students how to use the closed interval test to find absolute maximum and minimum values of a function. In particular, I use the first derivative to find critical values of the function. From this step, I show how to find the absolute maximum and minimum values within

From playlist Calculus 1

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The Legendary Works Created by Wood Carving Machines

Since we cannot get rid of the influence of CNC machines, this week we are talking about the legendary works created by wood engraving machines that work with similar working principles. Wood carving machines are divided into CNC Freezing and Lathe due to their machining by rotation. You w

From playlist Satisfying Machines

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Pratyush Tiwary: "Learning to learn, learning to forget"

Machine Learning for Physics and the Physics of Learning 2019 Workshop II: Interpretable Learning in Physical Sciences "Learning to learn, learning to forget" Pratyush Tiwary - University of Maryland, Institute for Physical Science and Technology Abstract: The ability to rapidly learn fr

From playlist Machine Learning for Physics and the Physics of Learning 2019

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Investigating The Futuristic Vision Of Magnetic Levitation | Power: High-Speed Trains | Spark

Railways deliver the power to move people, freight, armies, and raw materials. They also have the technology to do it fast. In this episode we investigate the high speed trains that link cities, the futuristic visions of magnetic levitation and pods, and tell the story of engineering marve

From playlist The Science Of Trains

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Barrett M82A1: A Misunderstood Legend

Barrett M82A1 is probably the best known .50 calibre "sniper rifle" in the world. However, contrary to what a lot of people think, the Barrett M82A1 isn't really a sniper rifle. Ronnie Barrett, the guy who designed this gun, has a really cool story. Believe it or not, he was actually a ph

From playlist Military Mechanics

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M2 Browning. A Legend from The Greatest Generation

Although originally developed in 1918 and technically first adopted by the US military in 1922, these guns are still in ubiquitous, widespread service today. Join our YouTube channel by clicking here: https://bit.ly/3asNo2n Find us on Instagram: https://bit.ly/3PM21xW Find us on Facebook

From playlist Military Mechanics

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Yafeng Yin: "Rhythmic Traffic Management and Control in Fully Automated Vehicle Environment"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop III: Large Scale Autonomy: Connectivity and Mobility Networks "Rhythmic Traffic Management and Control in Fully Automated Vehicle Environment" Yafeng Yin - University of Michigan Abstract: In this talk, we pr

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

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The Greatest Forms Of Self Defense In The 20th Century [4K] | The Greatest Ever | Spark

Fast paced head-spinning, and informative, Greatest Ever is a top ten count down of the marvels of modern technology. You may not agree, but you'll be grabbed and not let go as our picks are put through their paces in front of our cameras. -- Subscribe to Spark for more amazing science, te

From playlist The Greatest Ever

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How to Prove Uniform Convergence Example with f_n(x) = x/(1 + nx^2)

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Prove Uniform Convergence Example with f_n(x) = x/(1 + nx^2)

From playlist Advanced Calculus

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Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (9 of 23) What is the Gas Constant?

Visit http://ilectureonline.com for more math and science lectures! In this video I will give and explain what is the gas constant and how it was determined. Next video in this series can be seen at: https://youtu.be/8N8TN0L5xiQ

From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

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Eugene Gorsky: Hilbert schemes and knot homology (Part 3 of 4)

The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: Khovanov and Rozansky introduced a knot homology theory which categorifies the HOMFLY polynomial. This homology has a lot of interesting properties, but i

From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"

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Non-equilibrium statistical mechanics | Principle of maximum entropy