# Daily Archives: August 1, 2019

503 posts ## 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… ## Chapter 6, Example #13, Elliptical orbit of mercury ## Section 13.2 Ellipses

Graphing elliptical, some with a center at (0,0), one with a center other than (0, 0). ## GeoGebra Ex89 – Reflective Property of an Ellipse

GeoGebra Tutorial Example 89 – Reflective Property of an Ellipse | Free Interactive and Dynamic Mathematics Software to Connect Algebra and Geometry | http://ggbin.com/reflective-property-of-an-ellipse/ ## completing the square to graph an ellipse

Another in the series of examples where I complete the square to find the general form of an elliptical equation and graph the equation on a Cartesian coordinate plane. ## Conic Sections: Ellipses: Definition and Derivation of Formula (Including Circles)

In this video I look further into conic sections, or conics, and this time go over the definition of an ellipse and derive it’s basic formula. Note though that I have made videos on ellipses several years ago, but I am revisiting them so that they better tie in with the conics video series that… ## 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… ## Graphs – Quick Look at Circle, Parabola, Ellipse, and Hyperbola

In this video, we quickly review the common graphs and their equations. These graphs come really handy in Physics, and are a must know! ## 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

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

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… ## Mat 1740 Section 5.9 Hyperbolic Trig Functions

Hyperbolic Trig Functions ## Prof. Mahan Mj talks about hyperbolic geometry and chaos in the complex plane

Infosys Prize 2015 laureate Prof. Mahan Mj delivers an Infosys Prize lecture on hyperbolic geometry and chaos in the complex plane at TIFR Centre for Interdisciplinary Sciences, Hyderabad ## Calculus 2: Hyperbolic Functions (7 of 57) Graphical Representation of sinh(x)

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and draw the graphical representation of sinh(x). Next video in the series can be seen at: https://youtu.be/Fnl7rmKhByA ## 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… ## The remarkable Platonic solids II: symmetry | Universal Hyperbolic Geometry 48 | NJ Wildberger

We look at the symmetries of the Platonic solids, starting here with rigid motions, which are essentially rotations about fixed axes. We use the normalization of angle whereby one full turn has the value one, and also connect the number of rigid motions with the number of directed edges. Duality also plays a role, in… ## IGS: Yr 11 MM Gallery of Graphs – Featuring Hyperbola, Truncus and square root

A video going through some key concepts relating to standard form, translations of graphs using standard form. Featuring hyperbola, truncus and square root graphs. ## How to prove an inequality with hyperbolic sin (Ch10 Pr1b)

This video shows you how to write a short mathematical proof. The example used is a hyperbolic trig identity. This is Chapter 10 Problem 1a from the MATH1131/1141 Calculus course. Presented by Daniel Mansfield from the UNSW School of Mathematics and Statistics. ## 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 and resemble two infinite bows. ## Transforming the Hyperbolic Function

A brief tutorial on how to transform the hyperbolic function. ## 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… ## Cytotoxic T cells and MHC I complexes

Description More free lessons at: http://www.khanacademy.org/video?v=YdBXHm3edL8 ## 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 and Circular Functions- Relationship with basic concept in Hindi

In this video, I am explaining the basic relation between hyperbolic and circular functions in Hindi. The relationship between the hyperbolic and circular functions is thoroughly explained in the simplest way possible. This topic of hyperbolic and circular functions is one of the most important topics for mathematics for undergraduate science and engineering courses. For… ## Apollonius and polarity | Universal Hyperbolic Geometry 1 | NJ Wildberger

This is the start of a new course on hyperbolic geometry that features a revolutionary simplifed approach to the subject, framing it in terms of classical projective geometry and the study of a distinguished circle. This subject will be called Universal Hyperbolic Geometry, as it extends the subject to arbitrary fields, as well as to…  