Euclidean geometry | Projective geometry | Linear algebra | Multi-dimensional geometry | Affine geometry
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).
Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning
Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an
From playlist Maths Topics
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
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
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
Interstellar flight: 10 Hard Facts
We can build powerful rockets able to carry people and machines into orbit, or even vault them to the moon. But our fastest spacecraft don't hold a candle to the distances that define Interstellar Flight. So what's on the drawing boards? What futuristic designs and fuel options promise to
From playlist Spaceten
Algebra Ch 40: Hyperbolas (1 of 10) What is a Hyperbola?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn a hyperbola is a graph that result from meeting the following conditions: 1) |d1-d2|=constant (same number) 2) the grap
From playlist THE "HOW TO" PLAYLIST
Hyperbola: Reflective Property (Without Words)
Link: https://www.geogebra.org/m/m69qeBVs
From playlist Trigonometry: Dynamic Interactives!
Ex 1: Conic Section - Graph a Hyperbola with Center at the Origin (Horizontal)
This video provides an example of how to graph and find the major components of a hyperbola given the standard equation of the hyperbola. The hyperbola has a horizontal transverse axis. Site: http:/mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Graphing and Writing Equations of Hyperbolas
Intersection of Planes on Geogebra
In this video, we look at a strategy for finding the intersection of planes on Geogebra.
From playlist Geogebra
Statistical Learning: 9.1 Optimal Separating Hyperplane
Statistical Learning, featuring Deep Learning, Survival Analysis and Multiple Testing You are able to take Statistical Learning as an online course on EdX, and you are able to choose a verified path and get a certificate for its completion: https://www.edx.org/course/statistical-learning
From playlist Statistical Learning
Singular Hodge Theory for Combinatorial Geometries by Jacob Matherne
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
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"
Lecture 5 "Perceptron" -Cornell CS4780 SP17
Cornell class CS4780. (Online version: https://tinyurl.com/eCornellML ) Lecture Notes: http://www.cs.cornell.edu/courses/cs4780/2018fa/lectures/lecturenote03.html
From playlist CORNELL CS4780 "Machine Learning for Intelligent Systems"
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"
Eli Grigsby (11/13/19): On the topological expressiveness of neural networks
Title: On the topological expressiveness of neural networks Abstract: One can regard a (trained) feedforward neural network as a particular type of function f from R^n to R, where R^n is a (typically high-dimensional) Euclidean space parameterizing some data set, and the value f(x) of the
From playlist AATRN 2019
The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry