Theorems | Mathematical terminology

Corollary

In mathematics and logic, a corollary (/ˈkɒrəˌlɛri/ KORR-ə-lerr-ee, UK: /kɒˈrɒləri/ korr-OL-ər-ee) is a theorem of less importance which can be readily deduced from a previous, more notable statement. A corollary could, for instance, be a proposition which is incidentally proved while proving another proposition; it might also be used more casually to refer to something which naturally or incidentally accompanies something else (e.g., violence as a corollary of revolutionary social changes). (Wikipedia).

Video thumbnail

Covariance (1 of 17) What is Covariance? in Relation to Variance and Correlation

Visit http://ilectureonline.com for more math and science lectures! To donate:a http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between the variance and the covariance. A variance (s^2) is a measure of how spread out the numbers of

From playlist COVARIANCE AND VARIANCE

Video thumbnail

Trigonometry 5 The Cosine Relationship

A geometrical explanation of the law of cosines.

From playlist Trigonometry

Video thumbnail

Teach Astronomy - Cosmology

http://www.teachastronomy.com/ Cosmology is the study of the universe, its history, and everything in it. It comes from the Greek root of the word cosmos for order and harmony which reflected the Greek belief that the universe was a harmonious entity where everything worked in concert to

From playlist 22. The Big Bang, Inflation, and General Cosmology

Video thumbnail

Covariance - Explained

This educational video delves into how you quantify a linear statistical relationship between two variables using covariance! #statistics #probability #SoME2 This video gives a visual and intuitive introduction to the covariance, one of the ways we measure a linear statistical relation

From playlist Summer of Math Exposition 2 videos

Video thumbnail

What is an Injective Function? Definition and Explanation

An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez

From playlist Functions

Video thumbnail

Trigonometry 7 The Cosine of the Sum and Difference of Two Angles

A geometric proof of the cosine of the sum and difference of two angles identity.

From playlist Trigonometry

Video thumbnail

Covariance Definition and Example

What is covariance? How do I find it? Step by step example of a solved covariance problem for a sample, along with an explanation of what the results mean and how it compares to correlation. 00:00 Overview 03:01 Positive, Negative, Zero Correlation 03:19 Covariance for a Sample Example

From playlist Correlation

Video thumbnail

Strategic Math S1 | Lecture 02 Same idea with Continued Fractions

★Before watching this lecture, I encourage everyone to try their own hands on this problem: Here are the thinks that you can use: 1. Use this thorough introduction of CF to learn more: 🔗 http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.html 2. Use this calculator to c

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Linear Algebra Theorems on Spans and How to Show Two Spans are Equal

Linear Algebra Theorems on Spans and How to Show Two Spans are Equal

From playlist Linear Algebra

Video thumbnail

Morera's Theorem and Corollaries -- Complex Analysis 14

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http

From playlist Complex Analysis

Video thumbnail

Abstract Algebra - 4.1 Cyclic Groups and Their Properties (𝑎^𝑖=𝑎^𝑗)

We took a brief look at cyclic subgroups in our last chapter. In this chapter, we will review the definition of a cyclic group and look at a few examples to be sure we understand the concept. We then want to take a look at one of the two theorems we have related to cyclic groups and their

From playlist Abstract Algebra - Entire Course

Video thumbnail

Number Theory | Euler's Theorem Corollary and Application

We present a corollary to Euler's theorem and an application to solving a linear congruence. http://www.michael-penn.net

From playlist Number Theory

Video thumbnail

Nearly Uniform Lattice Covers by Barak Weiss

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

Video thumbnail

Algorithmizing the Multiplicity Schwartz-Zippel Lemma - Prahladh Harsha

Computer Science/Discrete Mathematics Seminar I Topic: Algorithmizing the Multiplicity Schwartz-Zippel Lemma Speaker: Prahladh Harsha Affiliation: Tata Institute of Fundamental Research Date: January 31, 2022 The degree mantra states that any non-zero univariate polynomial of degree at

From playlist Mathematics

Video thumbnail

Applying the law of cosines to solve a word problem

Learn how to solve for the lengths of the sides and the measures of the angles of a triangle using the law of cosines. The law of cosines is used in determining the lengths of the sides or the measures of the angles of a triangle when no angle measure and the length of the side opposite th

From playlist Solve Law of Cosines (Word Problem) #ObliqueTriangles

Video thumbnail

Covariance (5 of 17) What is the Covariance Matrix?

Visit http://ilectureonline.com for more math and science lectures! To donate:a http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the covariance matrix is an nxn matrix (where n=number of data sets) such that the diagonal elements represents the va

From playlist COVARIANCE AND VARIANCE

Video thumbnail

T. Toro - Geometry of measures and applications (Part 4)

In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question

From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications

Related pages

Mathematics | Charles Sanders Peirce | Law of cosines | Porism | Proposition | Pythagorean theorem | Theorem | Deductive reasoning | Lemma (mathematics)