Daily Archives: August 1, 2019

503 posts

Law of large numbers | Probability and Statistics | Khan Academy

Law of large numbers | Probability and Statistics | Khan Academy

Introduction to the law of large numbers Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/binomial-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/expected-value-insurance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through…

Colour Image Processing with Hypercomplex Algebra, S. Sangwine, University of Essex, UK

Colour Image Processing with Hypercomplex Algebra, S. Sangwine, University of Essex, UK

NOTE: 0m00s – 1m25s … Japanese Introduction (Dr. K. Tachibana), 1m25s – end … English Presentation (Dr. S. Sangwine). Presentation slides: http://privatewww.essex.ac.uk/~sjs/research/Slides_ICU_March_2015.pdf In presentation videos: 1) https://www.youtube.com/watch?v=z75_io0rjcc&feature=youtu.be 2) https://www.youtube.com/watch?v=PX359wU8XU8&feature=youtu.be “Colour Image Processing with Hypercomplex Algebra” by Dr. Steve Sangwine (School of Computer Science and Electronic Engineering, University of Essex, United Kingdom), invited presentation on 9th…

Math 060 Linear Algebra 10 092914: Vector Space Bases

Math 060 Linear Algebra 10 092914: Vector Space Bases

Basis; dimension; cardinality of a linearly independent set cannot exceed that of a spanning set; if a set has the same cardinality as the dimension of the vector space, then linear independence is equivalent to that set spanning the vector space; any linear independent set can be extended to a basis; any spanning set can…

Ellipses: Example 2: Inverted Ellipse

Ellipses: Example 2: Inverted Ellipse

In this video I go over another example on ellipses and this time determine the equation of an inverted ellipse when we are given the foci and vertices. Download the notes in my video: http://1drv.ms/1MRynRb Related Videos: Ellipses: Example 1: http://youtu.be/ejhZmTIjiS4 Inverted Ellipses: http://youtu.be/NQQFj66-bxA Ellipses: Definition and Proof of Equation: http://youtu.be/tvfNgT4CrFs . —————————————————— SUBSCRIBE via…

Non-Euclidean geometry | Math History | NJ Wildberger

Non-Euclidean geometry | Math History | NJ Wildberger

The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sadness, confusion and orthodoxy, that is reflected even the geometry studied today. The important insights of Gauss, Lobachevsky and Bolyai, along with later work of Beltrami, were the end result of…

IIT JEE circle hyperbola intersection | Conic sections | Algebra II | Khan Academy

IIT JEE circle hyperbola intersection | Conic sections | Algebra II | Khan Academy

2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection Watch the next lesson: https://www.khanacademy.org/math/algebra2/alg2-matrices/basic-matrix-operations-alg2/v/introduction-to-the-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not…

Khan Academy Classrooms has a new mastery system that makes personalized learning easier than ever!

Khan Academy Classrooms has a new mastery system that makes personalized learning easier than ever!

Teachers, welcome back to school! We’re excited to share why Khan Academy Classrooms is our most effective and engaging product to date. Introducing a whole new mastery-based system How do you easily support students at different skill levels? Khan Academy now has a simple and powerful solution for you—personalized, student-paced practice within our new mastery…

001 Introduction to fast direct solvers for elliptic PDEs – Gunnar Martinsson

001 Introduction to fast direct solvers for elliptic PDEs – Gunnar Martinsson

2014 CBMS-NSF Conference: Fast Direct Solvers for Elliptic PDEs June 23-29, 2014 at Dartmouth College This conference is motivated by the recent rapid progress on developing “direct” (as opposed to “iterative”) solvers for elliptic PDEs, which in a single sweep construct an approximate solution operator. Conference themes include: structured matrix computations that exploit analytic structure…

Hyperbolic Functions Introduction 6 Ex Calculus 1 PLEASE READ DESCRIPTION

Hyperbolic Functions Introduction 6 Ex Calculus 1 PLEASE READ DESCRIPTION

Please note the copy error on the green board, cosh^2(x)=1/2(1+cosh(2x)) Evaluating Hyperbolic Functions for a given value at 7:37 and 8:30 Find values of other 5 Hyperbolic Functions from a given Hyperbolic Function at 12:50 Verifying a Hyperbolic Identity 3 examples at 16:02 20:53 25:21 Hyperbolic Functions Derivative & Integrals https://www.youtube.com/watch?v=UWue-vI0Tk8 Inverse Hyperbolic Functions Derivative…

Thales’ theorem, right triangles + Napier’s rules| Universal Hyperbolic Geometry 29 | NJ Wildberger

Thales’ theorem, right triangles + Napier’s rules| Universal Hyperbolic Geometry 29 | NJ Wildberger

This video establishes important results for right triangles in universal hyperbolic geometry–these are triangles where at least two sides are perpendicular. Besides Pythagoras’ theorem, there is a simple result called Thales’ theorem, giving a formula for a spread as a ratio of two quadrances. Together these allow us to state a very simple form for…