Max Tschaikowski, Aalborg University
March 1, Max Tschaikowski, Aalborg University Lumpability for Uncertain Continuous-Time Markov Chains
From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
11_3_6 Continuity and Differentiablility
Prerequisites for continuity. What criteria need to be fulfilled to call a multivariable function continuous.
From playlist Advanced Calculus / Multivariable Calculus
Local linearity for a multivariable function
A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.
From playlist Multivariable calculus
Differential Equations: Linearity
Linearity is crucial throughout mathematics. In this video, I demonstrate the linearity of linear differential equations and explain why it can be useful. This video is the first precursor to our discussion of homogeneous differential equations.
From playlist Differential Equations
Math 101 Fall 2017 112917 Introduction to Compact Sets
Definition of an open cover. Definition of a compact set (in the real numbers). Examples and non-examples. Properties of compact sets: compact sets are bounded. Compact sets are closed. Closed subsets of compact sets are compact. Infinite subsets of compact sets have accumulation poi
From playlist Course 6: Introduction to Analysis (Fall 2017)
Multivariable Calculus | Differentiability
We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Introduction to Differential Inequalities
What is a differential inequality and how are they useful? Inequalities are a very practical part of mathematics: They give us an idea of the size of things -- an estimate. They can give us a location for things. It is usually far easier to satisfy assumptions involving inequalities t
From playlist Advanced Studies in Ordinary Differential Equations
How to solve differentiable equations with logarithms
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
Completeness and Orthogonality
A discussion of the properties of Completeness and Orthogonality of special functions, such as Legendre Polynomials and Bessel functions.
From playlist Mathematical Physics II Uploads
In this video, I give a neat criterion called the "Rank Criterion" that tells us exactly when a system Ax = b has a solution. This explains why rank is so important for solving systems of equations. Some consequences: https://youtu.be/lPFKhhDkA8Q Check out my Linear Equations Playlist: h
From playlist Linear Equations
Physics Project Working Session: Tuesday, Mar. 1, 2022 Observer Theory
This is a Wolfram Physics Project working session on Observer Theory in the Wolfram Model. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/
From playlist Wolfram Physics Project Livestream Archive
Find the particular solution given the conditions and second derivative
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration