In category theory, a branch of mathematics, a dinatural transformation between two functors written is a function that to every object of associates an arrow of and satisfies the following coherence property: for every morphism of the diagram commutes. The composition of two dinatural transformations need not be dinatural. (Wikipedia).
From playlist Miscellaneous
Messing with Mona: Introduction to Geometric Transformations
Link: https://www.geogebra.org/m/KFtdRvyv
From playlist Geometry: Dynamic Interactives!
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
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
TQFTs from non-semisimple modular categories and modified traces, Marco de Renzi, Lecture II
Lecture series on modified traces in algebra and topology Topological Quantum Field Theories (TQFTs for short) provide very sophisticated tools for the study of topology in dimension 2 and 3: they contain invariants of 3-manifolds that can be computed by cut-and-paste methods, and their e
From playlist Lecture series on modified traces in algebra and topology
Geometric Algebra - The Matrix Representation of a Linear Transformation
In this video, we will show how matrices as computational tools may conveniently represent the action of a linear transformation upon a given basis. We will prove that conventional matrix operations, particularly matrix multiplication, conform to the composition of linear transformations.
From playlist Geometric Algebra
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
Englische Version: https://youtu.be/C1cbaDIaVjM Heute erlernen wir, wie wir unter der Annahme der Existenz, eine Zeitabhängige Funktion Laplace transformieren.
From playlist Laplace Transformation
Laplace Transformation: t*e^-at
Englische Version: Heute besprechen wir die Laplace Transformation einer Zeiteinheit t multipliziert mit der Exponentialfunktion.
From playlist Laplace Transformation
Compositional Structure of Classical Integral Transforms
The recently implemented fractional order integro-differentiation operator, FractionalD, is a particular case of more general integral transforms. The majority of classical integral transforms are representable as compositions of only two transforms: the modified direct and inverse Laplace
From playlist Wolfram Technology Conference 2022
Lecture 22, The z-Transform | MIT RES.6.007 Signals and Systems, Spring 2011
Lecture 22, The z-Transform Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES-6.007S11 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.6.007 Signals and Systems, 1987
Lecture 7 | 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 reintroduces the Fourier Transform and its inverse, then he goes into specific properties and transforms. The Fourier transform is a tool for s
From playlist Lecture Collection | The Fourier Transforms and Its Applications
Lecture 13 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). In this lecture, Professor Osgood demonstrates Fourier transforms of a general distribution. The Fourier transform is a tool for solving physical problems. In t
From playlist Lecture Collection | The Fourier Transforms and Its Applications
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)
Lec 5 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 5: The z-transform 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
The Laplace Transform: A Generalized Fourier Transform
This video is about the Laplace Transform, a powerful generalization of the Fourier transform. It is one of the most important transformations in all of science and engineering. @eigensteve on Twitter Brunton Website: eigensteve.com Book Website: http://databookuw.com Book PDF: http:/
From playlist Data-Driven Science and Engineering
Lecture: The Z transform 2018-10-29
This (long) video takes you all the way through the process of understanding the Z transform and how it relates to the Laplace transform for simulation.
From playlist Discrete
Laplace Transform: First Order Equation
MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang Transform each term in the linear differential equation to create an algebra problem. You can transfor
From playlist Fourier
Suppose you have two bases of the same space and the matrix of a linear transformation with respect to one bases. In this video, I show how to find the matrix of the same transformation with respect to the other basis, without ever having to figure out what the linear transformation does!
From playlist Linear Transformations