In theoretical computer science, in particular in formal language theory, the Brzozowski derivative of a set of strings and a string is the set of all strings obtainable from a string in by cutting off the prefix , as illustrated in the figure. Formally: . It was introduced under various different names since the late 1950s.Today it is named after the computer scientist Janusz Brzozowski who investigated its properties and gave an algorithm to compute the derivative of a generalized regular expression. (Wikipedia).
Brzozowski derivatives: Theory of Computation (Mar 3 2021)
Proving a language is nonregular using the Brzozowski derivative. This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math & computer science majors at Fairfield University, Spring 2021. Class website: http://cstaecker.fairfield.edu/~csta
From playlist Math 3342 (Theory of Computation) Spring 2021
In this video I take a look at the slope of a curve (that is not straight line).
From playlist Biomathematics
Derivatives and intro to grammars: Theory of Computation (Mar 5 2021)
A few more proving a language is nonregular using the Brzozowski derivative, plus an introduction to grammars. This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math & computer science majors at Fairfield University, Spring 2021. Class
From playlist Math 3342 (Theory of Computation) Spring 2021
In this video, I define a neat concept called the fractal derivative (which shouldn't be confused with fractional derivatives). Then I provide a couple of examples, and finally I present an application of this concept to the study of anomalous diffusion in physics. Enjoy!
From playlist Calculus
In this video I mention some of the basic methods used in calculating the derivative, for example the product, quotient, and chain rules.
From playlist Biomathematics
Fractals are typically not self-similar
An explanation of fractal dimension. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/fractals-thanks And by Affirm: https://www.affirm.com/careers H
From playlist Explainers
Sierpinski's triangle as a fractal curve
From playlist Space filling curves
In this video I remind you of the derivatives of a few transcendental functions such as exponent x and the trigonometric functions.
From playlist Biomathematics
Functional Analysis Lecture 14 2014 03 11 BMO is the dual of H^1; Distributions
Showing that integration against a BMO function is a bounded linear functional on Hardy space (using the atomic decomposition): case of an L^infinity function; case of general BMO function. Proof of converse statement. Distributions. Set D of infinitely differentiable functions of compa
From playlist Course 9: Basic Functional and Harmonic Analysis
Derivatives are the main object of study in differential calculus. They describe rates of change of functions. That makes them incredibly useful in all of science, as many models can be expressed by describing the changes over time (e.g. of physical quantities). However, the abstract defin
From playlist Summer of Math Exposition Youtube Videos
Partial derivatives - How to solve?
► My Partial Derivatives course: https://www.kristakingmath.com/partial-derivatives-course Partial derivatives are just like regular derivatives, but for multivariable functions. We’re used to taking the derivative of a single variable function, which is simple because we just take the de
From playlist Calculus III
AP Calculus AB: Lesson 3.1 Elementary Derivative Rules
AP Calculus AB Unit 3: Derivative Rules Lesson 1: Elementary Derivative Rules
From playlist AP Calculus AB
MATH2018 Lecture 1.1. Partial Differentiation
We introduce partial derivatives, which allow us to calculate the rate of change of functions of several variables.
From playlist MATH2018 Engineering Mathematics 2D
Calculus AB Lesson 3.4 The Chain Rule
================================= AP Calculus AB / IB Math SL Unit 3: Derivative Rules Lesson 4: The Chain Rule =================================
From playlist AP Calculus AB
Derivatives for Beginners - Basic Introduction
This calculus video tutorial provides a basic introduction into derivatives for beginners. Here is a list of topics: My Website: https://www.video-tutor.net Patreon Donations: https://www.patreon.com/MathScienceTutor Amazon Store: https://www.amazon.com/shop/theorganicchemistrytutor
From playlist New Calculus Video Playlist
Worldwide Calculus: Higher-Order Derivatives
Lecture on 'Higher-Order Derivatives' from 'Worldwide Differential Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Single-Variable Calculus for AP®
The Fourier Transform and Derivatives
This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow
From playlist Fourier