Euclidean geometry | Projective geometry | Linear algebra | Multi-dimensional geometry | Affine geometry

Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space. For example, if a space is 3-dimensional then its hyperplanes are the 2-dimensional planes, while if the space is 2-dimensional, its hyperplanes are the 1-dimensional lines. This notion can be used in any general space in which the concept of the dimension of a subspace is defined. In different settings, hyperplanes may have different properties. For instance, a hyperplane of an n-dimensional affine space is a flat subset with dimension n − 1 and it separates the space into two half spaces. While a hyperplane of an n-dimensional projective space does not have this property. The difference in dimension between a subspace S and its ambient space X is known as the codimension of S with respect to X. Therefore, a necessary and sufficient condition for S to be a hyperplane in X is for S to have codimension one in X. (Wikipedia).

Hyperplane
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Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning

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From playlist Maths Topics

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Transformable Hyperboloid

This object is transformable hyperboloid,you can transform from cylinder to various hyperboloids.See video. Buy at http://www.shapeways.com/shops/GeometricToy Copyright (c) 2014,AkiraNishihara

From playlist 3D printed toys

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What is the definition of a hyperbola

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From playlist The Hyperbola in Conic Sections

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What is the definition of a hyperbola

Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two foci. Some of the characteristics of a hyperbola includ

From playlist The Hyperbola in Conic Sections

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Interstellar flight: 10 Hard Facts

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From playlist Spaceten

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Algebra Ch 40: Hyperbolas (1 of 10) What is a Hyperbola?

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From playlist THE "HOW TO" PLAYLIST

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Hyperbola: Reflective Property (Without Words)

Link: https://www.geogebra.org/m/m69qeBVs

From playlist Trigonometry: Dynamic Interactives!

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Ex 1: Conic Section - Graph a Hyperbola with Center at the Origin (Horizontal)

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From playlist Graphing and Writing Equations of Hyperbolas

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Intersection of Planes on Geogebra

In this video, we look at a strategy for finding the intersection of planes on Geogebra.

From playlist Geogebra

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Statistical Learning: 9.1 Optimal Separating Hyperplane

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From playlist Statistical Learning

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Singular Hodge Theory for Combinatorial Geometries by Jacob Matherne

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From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Machine Learning Lecture 14 "(Linear) Support Vector Machines" -Cornell CS4780 SP17

Lecture Notes: http://www.cs.cornell.edu/courses/cs4780/2018fa/lectures/lecturenote09.html

From playlist CORNELL CS4780 "Machine Learning for Intelligent Systems"

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Lecture 5 "Perceptron" -Cornell CS4780 SP17

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From playlist CORNELL CS4780 "Machine Learning for Intelligent Systems"

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Lecture 6 "Perceptron Convergence Proof" -Cornell CS4780 SP17

Lecture Notes: http://www.cs.cornell.edu/courses/cs4780/2018fa/lectures/lecturenote03.html

From playlist CORNELL CS4780 "Machine Learning for Intelligent Systems"

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The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b

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From playlist Universal Hyperbolic Geometry

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