A shift invariant system is the discrete equivalent of a time-invariant system, defined such that if is the response of the system to , then is the response of the system to . That is, in a shift-invariant system the contemporaneous response of the output variable to a given value of the input variable does not depend on when the input occurs; time shifts are irrelevant in this regard. (Wikipedia).
Pre-Calculus - Applying a shift transformation to a function
This video covers how to apply a shift type of transformation to a function. Several examples are provided that shift up/down, and left/right, using the square root function and the absolute value function. For more videos please visit http://www.mysecretmathtutor.com
From playlist Pre-Calculus
Second Shift Formula for a Piecewise-defined Function
ODEs: Find the Laplace transform of the piecewise-defined function f(t) = t on (0,1), 1 on (1,3) , and 4-t on (3,4). We proceed by rewriting f(t) in terms of shifted unit step functions and then apply the Second Shift Formula. We check our work using integration by parts.
From playlist Differential Equations
Second shifting theorem: Laplace transforms
Free ebook https://bookboon.com/en/partial-differential-equations-ebook The second shifting theorem of Laplace transforms. I show how to apply the ideas via examples and also provide a proof.
From playlist Partial differential equations
First shifting theorem of Laplace transforms
Download the free PDF http://tinyurl.com/EngMathYT This video shows how to apply the First shifting theorem of Laplace transforms. Several examples are presented to illustrate how to take the Laplace transform and inverse Laplace transform and are seen in university mathematics.
From playlist Engineering Mathematics YouTube Workbook
In this video, I define a cool operation called the symmetrization, which turns any matrix into a symmetric matrix. Along the way, I also explain how to show that an (abstract) linear transformation is one-to-one and onto. Finally, I show how to decompose and matrix in a nice way, sort of
From playlist Linear Transformations
What is implicit differentiation?
► My Derivatives course: https://www.kristakingmath.com/derivatives-course Most often in calculus, you deal with explicitly defined functions, which are functions that are solved for y in terms of x. In that case, finding the derivative is usually really simple, because you just call the
From playlist Popular Questions
Ex: Translate a Quadratic Function on the Coordinate Plane
This video explains how to determine the vertical and horizontal shift using function notation.
From playlist Determining Transformations of Functions
First shifting theorem of Laplace transforms: a how to
Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to apply the First shifting theorem of Laplace transforms. Several examples are presented to illustrate how to take the Laplace transform and inverse Laplace transform and are seen in university mathematics.
From playlist Engineering Mathematics
Geometry of metrics and measure concentration in abstract ergodic theory - Tim Austin
Tim Austin New York University April 30, 2014 Many of the major results of modern ergodic theory can be understood in terms of a sequence of finite metric measure spaces constructed from the marginal distributions of a shift-invariant process. Most simply, the growth rate of their covering
From playlist Mathematics
Lecture 24 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues his lecture on linear systems. The Fourier transform is a tool for solving physical problems. In this course the emphasis is on rela
From playlist Lecture Collection | The Fourier Transforms and Its Applications
Lecture 25 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood lectures on the relationship between LTI and the Fourier transforms. The Fourier transform is a tool for solving physical problems. In this cou
From playlist Lecture Collection | The Fourier Transforms and Its Applications
Lec 2 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 2: Discrete-time signals and systems, part 1 Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
MIT 6.003 Signals and Systems, Fall 2011 View the complete course: http://ocw.mit.edu/6-003F11 Instructor: Dennis Freeman License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.003 Signals and Systems, Fall 2011
Thermodynamic Formalism for B-free Dynamical Systems - Joana Kulaga-Przymus
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: Thermodynamic Formalism for B-free Dynamical Systems Speaker: Joana Kulaga-Przymus Affiliation: Uniwersytet Mikołaja Kopernika Date: March 01, 2023 Abstract: Given $B \subset N$, we consider the corresponding
From playlist Mathematics
60 years of dynamics and number expansions - 11 December 2018
http://crm.sns.it/event/441/ 60 years of dynamics and number expansions Partially supported by Delft University of Technology, by Utrecht University and the University of Pisa It has been a little over sixty years since A. Renyi published his famous article on the dynamics of number expa
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Introduction To Symbolic Dynamics #SoME2
This video was made for 3 Blue 1 Brown's Summer of Math Exposition 2 competition. This is a brief summary of some of the more central elements in the field of Symbolic Dynamics. Some applications of symbolic dynamics for anyone interested (all 4 are worth watching): Wave function collapse
From playlist Summer of Math Exposition 2 videos
Vaughn Climenhaga: Beyond Bowen specification property - lecture 1
Rufus Bowen introduced the specification property for uniformly hyperbolic dynamical systems and used it to establish uniqueness of equilibrium states, including the measure of maximal entropy. After reviewing Bowen's argument, we will present our recent work on extending Bowen's approach
From playlist Dynamical Systems and Ordinary Differential Equations
Fourier Transforms: Second Shifting Theorem
Free ebook https://bookboon.com/en/partial-differential-equations-ebook A shifting theorem from Fourier transforms is presented and proven. An example is discussed illustrating how to apply the result. Such ideas have the ability to help solve partial differential equations.
From playlist Partial differential equations
Orbit retrieval, with applications to cryo-electron microscopy
From playlist Fall 2018 Symbolic-Numeric Computing