Point processes | Metric geometry
In probability theory, a Laplace functional refers to one of two possible mathematical functions of functions or, more precisely, functionals that serve as mathematical tools for studying either point processes or concentration of measure properties of metric spaces. One type of Laplace functional, also known as a characteristic functional is defined in relation to a point process, which can be interpreted as random counting measures, and has applications in characterizing and deriving results on point processes. Its definition is analogous to a characteristic function for a random variable. The other Laplace functional is for probability spaces equipped with metrics and is used to study the concentration of measure properties of the space. (Wikipedia).
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From playlist Laplace Transforms
Laplace transform: Why do we only care about Re(s)
Playlist: https://www.youtube.com/watchv=5RCijylGyK4&list=PLN2B6ZNu6xmfaT2IBigUylhfpFFA1L8Mp When encountering laplace transformations you are bound to work with certain conditions to make those functions converge. So why do we only care about the real part of this complex valued s? Help
From playlist Laplace transform
Laplace Transform and Piecewise or Discontinuous Functions
Watch the Intro to the Laplace Transform in my Differential Equations playlist here: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 This video deals particularly with how the Laplace Transform works with piecewise functions, a type of discontinuous functions. T
From playlist Laplace Transforms and Solving ODEs
Introduction to Laplace Transforms
This video introduces the Laplace transform of a function and explains how they are used to solve differential equations. http://mathispower4u.com
From playlist Laplace Transforms
Laplace Transform of 1 (Using the Definition)
Laplace Transform of 1 using the definition. Have a wonderful day! Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, but it will help to support my channel. Than
From playlist Laplace Transforms
This video describes important properties of the Laplace transform and gives some examples. @eigensteve on Twitter Brunton Website: eigensteve.com Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf
From playlist Data-Driven Science and Engineering
Differential Equations | The Laplace Transform of a Derivative
We establish a formula involving the Laplace transform of the derivative of a function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Laplace Transform
Playlist: https://www.youtube.com/watchv=5RCijylGyK4&list=PLN2B6ZNu6xmfaT2IBigUylhfpFFA1L8Mp Let's derive this powerful identity which we can use to integrate improper integrals :) Help me create more free content! =) https://www.patreon.com/mathable Twitter: https://twitter.com/Flammab
From playlist Laplace transform
C75 Introduction to the Laplace Transform
Another method of solving differential equations is by firs transforming the equation using the Laplace transform. It is a set of instructions, just like differential and integration. In fact, a function is multiplied by e to the power negative s times t and the improper integral from ze
From playlist Differential Equations
Part II: Differential Equations, Lec 7: Laplace Transforms
Part II: Differential Equations, Lecture 7: Laplace Transforms Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Calculus Revisited: Calculus of Complex Variables
MATH2018 Lecture 8.1 More on the Heaviside function
We review the skills we have learned for dealing with Laplace Transforms. And we look at some trickier problems involving the Heaviside function.
From playlist MATH2018 Engineering Mathematics 2D
Differential Equations: Laplace Transform of Derivatives
If the Laplace transform is to have any use in solving differential equations, there must exist a sensible notion of the Laplace transform of a functions derivative. There is such a notion which, similarly to polynomials, can be expanded with induction into a formula for the Laplace transf
From playlist Differential Equations
Differential Equation Using Laplace Transform + Heaviside Functions
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Please consider supporting me on Patreon! https://www.patreon.com/patrickjmt In this video, I solve a differential equation using Laplace Transforms and Heavis
From playlist Differential Equations
MATH2018 Lecture 7.1 Laplace Transforms
We introduce the concept of a Laplace Transform, which allows us to change a function f(t) into a new function F(s) that is easier to deal with. This is really useful if there are discontinuities in our original function.
From playlist MATH2018 Engineering Mathematics 2D
MATH2018 Lecture 7.3 The Shifting Theorems
We discuss two very important theorems, the First and Second Shifting Theorems, which allow us to calculate Laplace Transforms and Inverse Laplace Transforms for a much wider family of functions.
From playlist MATH2018 Engineering Mathematics 2D
Solving PDEs with the Laplace Transform: The Heat Equation
This video shows how to solve Partial Differential Equations (PDEs) with Laplace Transforms. Specifically we solve the heat equation on a semi-infinite domain. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Overview and Problem Setup 7:03 How Classic Meth
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
In this video we show how to perform the Laplace transform on a signal in the time domain to obtain its equivalent representation in the Laplace domain. Topics and time stamps: 0:00 – Introduction 3:58 – Outline of the “Classical Method” to solve ODEs 6:19 – Outline of the “Laplace Meth
From playlist Ordinary Differential Equations
Differential Equations: Lecture 7.1 Definition of the Laplace Transform
This is a real classroom lecture on Differential Equations. I covered section 7.1 which is on the Definition of the Laplace Transform. I hope this video is helpful to someone. If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel
From playlist Differential Equations Full Lectures
ME565 Lecture 21: The Laplace Transform
ME565 Lecture 21 Engineering Mathematics at the University of Washington Laplace Transform Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L21.pdf Course Website: http://faculty.washington.edu/sbrunton/me565/ http://faculty.washington.edu/sbrunton/
From playlist Engineering Mathematics (UW ME564 and ME565)