Euclidean geometry | Theorems about quadrilaterals
Theorem of the gnomon
The theorem of the gnomon states that certain parallelograms occurring in a gnomon have areas of equal size. (Wikipedia).
Euclidean geometry | Theorems about quadrilaterals
The theorem of the gnomon states that certain parallelograms occurring in a gnomon have areas of equal size. (Wikipedia).
Proof that if g o f is Surjective(Onto) then g is Surjective(Onto)
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof that if g o f is Surjective(Onto) then g is Surjective(Onto). Given two functions f : A to B and g: B to C, we prove that if the composition g o f: A to C is a surjective function then g is also surjective function.
From playlist Proofs
(ML 19.2) Existence of Gaussian processes
Statement of the theorem on existence of Gaussian processes, and an explanation of what it is saying.
From playlist Machine Learning
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Theory of numbers: Congruences: Euler's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim
From playlist Theory of numbers
Second Isomorphism Theorem for Groups Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Second Isomorphism Theorem for Groups Proof. If G is a group and H and K are subgroups of G, and K is normal in G, we prove that H/(H n K) is isomorphic to HK/K.
From playlist Abstract Algebra
This is a short, animated visual proof demonstrating the sum of the infinite geometric series with ratio -1/2. For a longer version of this animation (with dramatic music only), check out : https://youtu.be/wLPsEULfPnk This animation is based on a visual proof by Roger B. Nelsen from th
From playlist MathShorts
http://mathispower4u.wordpress.com/
From playlist The Properties of Functions
Squeaks broke his watch! Luckily Jessi knows of a handy way to tell time, with a sundial! Hi there! We at SciShow want to learn more about you and your opinions! If you have time, please take a moment to fill out this survey: https://www.surveymonkey.com/r/SciShowSurvey2017 Thank you! --
From playlist SciShow Kids
Sum of odd integers: a generalization (visual proof)
This short animated proof demonstrates the classic sum of odds visual proof and then shows one way to extend the idea to finding sums in other polygonal arrays. Surprisingly, the natural extension to finding sums of certain entries in a triangular array yields the sequence of squares. We l
From playlist Finite Sums
Theory of numbers: Gauss's lemma
This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di
From playlist Theory of numbers
Parametrizing and projecting a sphere | Universal Hyperbolic Geometry 38 | NJ Wildberger
This video introduces stereographic and gnomonic projections of a sphere. We begin by reviewing three dimensional coordinate systems. A rational parametrization of a sphere is analogous to the rational parametrization of a circle found in MathFoundations29. Stereographic projection project
From playlist Universal Hyperbolic Geometry
This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes using overlapping gnomons. #mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #finitesums #discrete
From playlist Finite Sums
Alternating Sum Of Squares (visual proof)
This is a short, animated visual proof demonstrating how to visualize the alternating sum of squares. #mathshorts #mathvideo #math #numbertheory #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #squares #triangularnumbers This animation
From playlist Finite Sums
Algebra of the Sun - Russell Goyder
Russell Goyder presents an approach to the "sundial problem" of computing the length of a shadow cast by a stick (gnomon) by the sun at a given latitude at a given time of day, at a given point of the Earth's orbit, using geometric algebra. The webpage for this seminar is https://metauni.
From playlist Anything At All seminar
The Golden Ratio: Is It Myth or Math?
PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateOKAY ↓ More info and sources below ↓ We’re on PATREON! Join the community ►► https://www.patreon.com/itsokaytobesmart SUBSCRIBE so you don’t miss a video! ►► http://bit.ly/iotbs_sub
From playlist Be Smart - LATEST EPISODES!
Follow Michael Stevens: http://www.twitter.com/tweetsauce EXTRA INFO & LINKS BELOW! Dr. Julian Bayliss' rainforest story: http://youtu.be/mni8mSS4KDU Cool video from CGPGrey: "How Many Countries Are There?" http://youtu.be/4AivEQmfPpk upside-down map: http://paulmencke.nl.dualdev.com/wp
From playlist DOT.
This lecture is part of an online graduate course on Galois theory. We define the discriminant of a finite field extension, ans show that it is essentially the same as the discriminant of a minimal polynomial of a generator. We then give some applications to algebraic number fields. Corr
From playlist Galois theory
In this video we continue discussing congruences and, in particular, we discuss solutions of linear congruences. The content of this video corresponds to Section 4.4 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-and-geometry/
From playlist Number Theory and Geometry
Illuminating hyperbolic geometry
Joint work with Saul Schleimer. In this short video we show how various models of hyperbolic geometry can be obtained from the hemisphere model via stereographic and orthogonal projection. 2D figure credits: 4:09 Cannon, Floyd, Kenyon, Parry. 0:49, 1:20, 1:31, 2:12, Roice Nelson. We th
From playlist 3D printing
Differential Equations | The Convolution Theorem
We prove an important result regarding the interaction of convolution and the Laplace transform. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Differential Equations