Affine geometry | Articles containing proofs | Functions and mappings | Linear algebra
In linear algebra, a squeeze mapping, also called a squeeze transformation, is a type of linear map that preserves Euclidean area of regions in the Cartesian plane, but is not a rotation or shear mapping. For a fixed positive real number a, the mapping is the squeeze mapping with parameter a. Since is a hyperbola, if u = ax and v = y/a, then uv = xy and the points of the image of the squeeze mapping are on the same hyperbola as (x,y) is. For this reason it is natural to think of the squeeze mapping as a hyperbolic rotation, as did Émile Borel in 1914, by analogy with circular rotations, which preserve circles. (Wikipedia).
BM8.3. Mappings 3: Composition and Inverse Mappings
Basic Methods: We define composition of mappings and draw parallels to multiplication of real numbers. Items include associativity, identity, and commutativity. Consideration of multiplicative inverses leads to the definition of an inverse mapping, and we give conditions for its existenc
From playlist Math Major Basics
Basic Methods: We define mappings (or functions) between sets and consider various examples. These include binary operations, projections, and quotient maps. We show how to construct the rational numbers from the integers and explain why division by zero is a forbidden operation.
From playlist Math Major Basics
Ex: Function Notation for Horizontal and Vertical Stretches and Compressions
This video explains how to recognize a horizontal and vertical compression or stretch using function notation. Site: http://mathispower4u.com
From playlist Determining Transformations of Functions
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This video explains how to apply the definition of a one-to-one and onto function to a mapping of a function.
From playlist One-to-One and Onto Transformations
Gradient Boost Part 2 (of 4): Regression Details
Gradient Boost is one of the most popular Machine Learning algorithms in use. And get this, it's not that complicated! This video is the second part in a series that walks through it one step at a time. This video focuses on the original Gradient Boost algorithm used to predict a continuou
From playlist StatQuest
Symplectic Dynamics Seminar: How Large is the Shadow of a Symplectic Ball? - Alberto Abbondandolo
Alberto Abbondandolo University of Pisa, Italy February 8, 2012 I will discuss a middle-dimensional generalization of Gromov's Non-Squeezing Theorem. For more videos, visit http://video.ias.edu
From playlist Mathematics
How Large is the Shadow of a Symplectic Ball? - Alberto Abbondandolo
Alberto Abbondandolo University of Pisa, Italy February 8, 2012 I will discuss a middle-dimensional generalization of Gromov's Non-Squeezing Theorem. For more videos, visit http://video.ias.edu
From playlist Mathematics
Contact non-squeezing via selective symplectic homology - Igor Uljarević
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From playlist Mathematics
Introduction to the Gradient Theory and Formulas
Introduction to the Gradient Theory and Formulas If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Calculus 3
Sucharit Sarkar - Khovanov homotopy type
June 29, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry II
Ex: Using Differentials to Approximate the Value of a Cube Root.
This video provides an example of how differentials can be used to approximate the value of a cube root. Complete video library at www.mathispower4u.com
From playlist Differentiation Application - Differentials and Tangent Line Approximations
05d Machine Learning: Feature Transformations
Lecture on feature transformations. Perhaps not exciting, but commonly required for data analytics, geostatistics and machine learning workflows. Follow along with the demonstration workflows in Python: o. Feature transformations: https://github.com/GeostatsGuy/PythonNumericalDemos/blob/
From playlist Machine Learning
Curve Sketching with Calculus (2 of 3: Finding Intercepts and Regions to assist Curve Sketching)
More resources available at www.misterwootube.com
From playlist Applications of Differentiation
The Physics of the CMB and Large Scale Structure, part 4 - Matias Zaldarriaga
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From playlist PiTP 2011
Quantitative Legendrian geometry - Michael Sullivan
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From playlist Mathematics
Physics 20B. Cosmology. Lec. 8: Exploring the Cosmic Landscape
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From playlist Physics 20B: Cosmology
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From playlist 2019 - T1 - The Mathematics of Imaging
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From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
What Does the Gradient Vector Mean Intuitively?
What Does the Gradient Vector Mean Intuitively? If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Calculus 3