In geometry, the moment curve is an algebraic curve in d-dimensional Euclidean space given by the set of points with Cartesian coordinates of the form In the Euclidean plane, the moment curve is a parabola, and in three-dimensional space it is a twisted cubic. Its closure in projective space is the rational normal curve. Moment curves have been used for several applications in discrete geometry including cyclic polytopes, the no-three-in-line problem, and a geometric proof of the chromatic number of Kneser graphs. (Wikipedia).
Find the point where their exist a horizontal tangent line
👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the derivative of the function y, is zero is the point of hor
From playlist Find the Point Where the Tangent Line is Horizontal
Find the values where the function has horizontal tangents
👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the derivative of the function y, is zero is the point of hor
From playlist Find the Point Where the Tangent Line is Horizontal
Lecture 11: Discrete Curves (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
What is the velocity of the particle at a given time from graph
Keywords 👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of the particle by differentiating the function
From playlist Particle Motion Problems
Geometric and algebraic aspects of space curves | Differential Geometry 20 | NJ Wildberger
A space curve has associated to it various interesting lines and planes at each point on it. The tangent vector determines a line, normal to that is the normal plane, while the span of adjacent normals (or equivalently the velocity and acceleration) is the osculating plane. In this lectur
From playlist Differential Geometry
When do vector functions intersect?
Free ebook http://tinyurl.com/EngMathYT Example discussing intersection of curves of two vector functions on one variable.
From playlist Engineering Mathematics
Determining Curvature of a Curve Defined by a Vector Valued Function
This video explain how to determine the curvature of a curve at a given point. http://mathispower4u.wordpress.com/
From playlist Vector Valued Function
Andrew Sutherland: Introduction to Sato-Tate distributions
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Jean-Morlet Chair - Shparlinski/Kohel
SA09: Drawing Shear & Moment Diagrams without the use of Equations
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/ In addition to updated, expanded, and better organized video lectures, the course contains quizzes and other learning content.
From playlist Dr. Structure: Structural Analysis Video Lectures
Andrew Sutherland: Moment sequences of Sato-Tate groups
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Jean-Morlet Chair - Shparlinski/Kohel
Johnathan Bush (11/5/21): Maps of Čech and Vietoris–Rips complexes into euclidean spaces
We say a continuous injective map from a topological space to k-dimensional euclidean space is simplex-preserving if the image of each set of at most k+1 distinct points is affinely independent. We will describe how simplex-preserving maps can be useful in the study of Čech and Vietoris–Ri
From playlist Vietoris-Rips Seminar
SA11: Beam Deflection: Drawing Elastic Curves Qualitatively
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/ In addition to updated, expanded, and better organized video lectures, the course contains quizzes and other learning content.
From playlist Dr. Structure: Structural Analysis Video Lectures
How to calculate arc length of a curve.
Free ebook http://tinyurl.com/EngMathYT How to calculate the arc length of a curve: a basic example.
From playlist A second course in university calculus.
Sato-Tate Distributions in Genus 2 - Andrew Sutherland
Andrew Sutherland Massachusetts Institute of Technology For an abelian surface A over a number field k, we study the limiting distribution of the normalized Euler factors of the L-function of A. Under the generalized Sato-Tate conjecture, this is equal to the distribution of characteristi
From playlist Mathematics
Clelia Pech: Curve neighbourhoods for odd symplectic Grassmannians
CIRM VIRTUAL CONFERENCE Odd symplectic Grassmannians are a family of quasi-homogeneous varieties with properties nevertheless similar to those of homogeneous spaces, such as the existence of a Schubert-type cohomology basis. In this talk based on joint work with Ryan Shifler, I will expl
From playlist Virtual Conference
Nina Snaith - Combining random matrix theory and number theory [2015]
Name: Nina Snaith Event: Program: Foundations and Applications of Random Matrix Theory in Mathematics and Physics Event URL: view webpage Title: Combining random matrix theory and number theory Date: 2015-10-14 @11:00 AM Location: 313 Abstract: Many years have passed since the initial su
From playlist Number Theory
Yuri Manin - Big Bang, Blow Up, and Modular Curves: Algebraic Geometry of Cyclic Cosmology
Yuri MANIN (MPIM ÂBonn, Germany) Big Bang, Blow Up, and Modular Curves: Algebraic Geometry of Cyclic Cosmology (joint with M. Marcolli)
From playlist Algèbre, Géométrie et Physique : une conférence en l'honneur
Write the equation of a line tangent to a polynomial through a point
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line of a curve at a given point, we start with the point-
From playlist Write the Equation of the Tangent Line