Articles containing proofs | Mathematical identities | Theorems in combinatorics | Factorial and binomial topics
In combinatorial mathematics, the identity or equivalently, the mirror-image by the substitution : is known as the hockey-stick, Christmas stocking identity, boomerang identity, or Chu's Theorem. The name stems from the graphical representation of the identity on Pascal's triangle: when the addends represented in the summation and the sum itself are highlighted, the shape revealed is vaguely reminiscent of those objects (see hockey stick, Christmas stocking). (Wikipedia).
Using a set of points determine if the figure is a parallelogram using the midpoint formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Here we show a quick way to set up a face in desmos using domain and range restrictions along with sliders. @shaunteaches
From playlist desmos
Determine if a set of points is a parallelogram using the distance formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Due to the COVID-19 pandemic, Carnegie Mellon University is protecting the health and safety of its community by holding all large classes online. People from outside Carnegie Mellon University are welcome to tune in to see how the class is taught, but unfortunately Prof. Loh will not be o
From playlist CMU 21-228 Discrete Mathematics
Determining if a set of points is a rhombus, square or rectangle
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Determining if a set of points makes a parallelogram or not
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Michel Dubois-Violette: Finite quantum geometry, exceptional quantum geometry and...
We show that the spectrum of fundamental particles of matter and their symmetries can be encoded in a finite quantum geometry equipped with a supplementary structure connected with the quark-lepton symmetry. The occurrence of the exceptional quantum geometry for the description of the stan
From playlist Mathematical Physics
Philippe Moireau: Data Assimilation: a deterministic vision, theory and applications. Lecture 2
Abstract: The question of using the available measurements to retrieve mathematical models characteristics (parameters, boundary conditions, initial conditions) is a key aspect of the modeling objective in biology or medicine. In a stochastic/statistical framework this question is seen as
From playlist Control Theory and Optimization
Determine if a set of points is a trapezoid or not
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Dominique Manchon - Hopf-Algebraic Renormalization of Multiple Zeta Values and their q-analogues
After a brief introductory account, I’ll explain how a quasi-shuffle compatible definition (by no means unique) of multiple zeta values can be given for integer arguments of any sign, through Connes-Kreimer’s Hopf-algebraic renormalization. Finally, I’ll introduce the Ohno-Okuda-Zudilin mo
From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020
Perpendicular Bisector of a Line Segment and Triangle
This geometry video tutorial provides a basic introduction into the perpendicular bisector of a line segment and a triangle. it discusses the perpendicular bisector theorem and the definition of perpendicular bisectors in addition to how to use them in a geometry two column proof problem
From playlist Geometry Video Playlist
How to determine if points are a rhombus, square or rectangle
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Gabriel Riviere: Semiclassical behaviour of quantum eigenstates - lecture 2
Given a quantum Hamiltonian, I will explain how the dynamical properties of the underlying classical Hamiltonian affect the behaviour of quantum eigenstates in the semiclassical limit. I will mostly focus on two opposite dynamical paradigms: completely integrable systems and chaotic ones.
From playlist Mathematical Physics
An introduction to Dolgopyat's method (continued) - Frédéric Naud
Emerging Topics Working Group Topic: An introduction to Dolgopyat's method (continued) Speaker: Stéphane Nonnemache Affiliation: Frédéric Naud Date: October 12, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Invariant submanifolds for conformal dynamics - Marie-Claude Arnaud
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Invariant submanifolds for conformal dynamics Speaker: Marie-Claude Arnaud Date: March 04, 2022 In a work with Jacques Fejoz, we consider the conformal dynamics on a symplectic manifold , i.e. for which the s
From playlist Mathematics
Dominique MANCHON - On Multiple Zeta Values and their q-analogues
Multiple zeta values are real numbers which appeared in depth one and two in the work of L. Euler in the Eighteenth century. They first appear as a whole in the work of J. Ecalle in 1981, as infinite nested sums. A systematic study starts one decade later with M. Hoffman, D. Zagier and M.
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
What I've been reading (Winter 2018)
This book situation is getting out of hand. Three piles for one video?? Featuring climate science, 40k, Yuval Noah Harari, etymology, and medical science. So just a bit eclectic then... Book break video: https://www.youtube.com/watch?v=my8hgroUKZ0 Name of the Wind review: https://www.yout
From playlist Book videos!
Snakeboardcam 1 A snakeboard is a lot like skateboard except its front and back wheels move independently. So imagine me lying on my front, on a snakeboard, using the front paddle to steer, being pushed by a bloke on a unicycle (not featured). Regard Snakeboardcam. Ah-ha, see how they r
From playlist My Other Videos
Francois Baccelli: High dimensional stochastic geometry in the Shannon regime
This talk will focus on Euclidean stochastic geometry in the Shannon regime. In this regime, the dimension n of the Euclidean space tends to infinity, point processes have intensities which are exponential functions of n, and the random compact of interest sets have diameters of order squa
From playlist Workshop: High dimensional spatial random systems
Determine if a set of points is a parallelogram by using the slope formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane