In this video, I introduce the hyperbolic coordinates, which is a variant of polar coordinates that is particularly useful for dealing with hyperbolas (and 3 dimensional versions like hyperboloids of one sheet or two sheets). Suprisingly (or not), they involve the hyperbolic trig functions
From playlist Double and Triple Integrals
Rectangular Hyperbola (1 of 3: Working out the Eccentricity of the Rectangular Hyperbola)
More resources available at www.misterwootube.com
From playlist Further Work with Functions (related content)
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
Chandra Chekuri: On element connectivity preserving graph simplification
Chandra Chekuri: On element-connectivity preserving graph simplification The notion of element-connectivity has found several important applications in network design and routing problems. We focus on a reduction step that preserves the element-connectivity due to Hind and Oellerman which
From playlist HIM Lectures 2015
What are Hyperbolas? | Ch 1, Hyperbolic Trigonometry
This is the first chapter in a series about hyperbolas from first principles, reimagining trigonometry using hyperbolas instead of circles. This first chapter defines hyperbolas and hyperbolic relationships and sets some foreshadowings for later chapters This is my completed submission t
From playlist Summer of Math Exposition 2 videos
Text Classification 2: Maximum Margin Hyperplane
[http://bit.ly/LeToR] There will be infinitely many hyperplanes that classify your training documents perfectly. Which one should we pick? The one with the largest margin (buffer zone) around it.
From playlist Text Classification
Chidambaram Annamalai: Finding Perfect Matchings in Bipartite Hypergraphs
Haxell's condition is a natural hypergraph analog of Hall's condition, which is a well-known necessary and sufficient condition for a bipartite graph to admit a perfect matching. That is, when Haxell's condition holds it forces the existence of a perfect matching in the bipartite hypergrap
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Idealness of k-wise intersecting families, by Tony Huynh
CMSA Combinatorics Seminar, 6 October 2020
From playlist CMSA Combinatorics Seminar
Rectangular Hyperbola (2 of 3: Special Rectangular Hyperbola)
More resources available at www.misterwootube.com
From playlist Further Work with Functions (related content)
Hypergraph matchings and designs – Peter Keevash – ICM2018
Combinatorics Invited Lecture 13.10 Hypergraph matchings and designs Peter Keevash Abstract: We survey some aspects of the perfect matching problem in hypergraphs, with particular emphasis on structural characterisation of the existence problem in dense hypergraphs and the existence of d
From playlist Combinatorics
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
Live CEOing Ep 654: Language Design in Wolfram Language [Multicomputation]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
Two conjectures of Ringel, by Katherine Staden
CMSA Combinatorics Seminar, 22 July 2020
From playlist CMSA Combinatorics Seminar
How to determine the parts of a hyperbola and then sketch the graph
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2 / b^2 = 1 for vertical hyperbola. Next, we identify
From playlist The Hyperbola in Conic Sections
Finding the Equation of a Hyperbola Given the Vertices, Asymptotes, and Center
Finding the Equation of a Hyperbola Given the Vertices, Asymptotes, and Center Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Conics
Topics in Combinatorics lecture 1.0 -- welcome
This is the first video of a course entitled Topics in Combinatorics, which is given as part of the Part III Mathematics course at Cambridge University in the Michaelmas term of 2020. Because of the pandemic, all courses are online this year, and since we are allowed to post our lectures o
From playlist Topics in Combinatorics (Cambridge Part III course)
DSI | Hypergraphs and Topology for Data Science | By Emilie Purvine
Data scientists and applied mathematicians must grapple with complex data when analyzing complex systems. Analytical methods almost always represent phenomena as a much simpler level than the complex structure or dynamics inherent in systems, through either simpler measured or sampled data
From playlist DSI Virtual Seminar Series
Raffaella Mulas - Spectral theory of hypergraphs
Hypergraphs are a generalization of graphs in which vertices are joined by edges of any size. In this talk, we generalize the graph normalized Laplace operators to the case of hypergraphs, and we discuss some properties of their spectra. We discuss the geometrical meaning of the largest an
From playlist Research Spotlight
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
Emilie Purvine (5/2/21): Homology of Graphs and Hypergraphs
Graphs and hypergraphs are typically studied from a combinatorial perspective. A graph being a collection of vertices and pairwise relationships (edges) among the vertices, and a hypergraph capturing multi-way or groupwise relationships (hyperedges) among the vertices. But both of these ob
From playlist TDA: Tutte Institute & Western University - 2021