Tautochrone curve

Tautochrone curve on a Spherical Surface

In this video, we look at the differential equation that must be satisfied by all tautochrone curves. It is well known that the cycloid is has the tautochrone property in cartesian geometry. We use our differential equation to find the cycloid's counterpart in Spherical coordinate system.

From playlist Summer of Math Exposition Youtube Videos

The Fractional Derivative, what is it? | Introduction to Fractional Calculus

This video explores another branch of calculus, fractional calculus. It talks about the Riemann–Liouville Integral and the Left Riemann–Liouville Fractional Derivative, and ends with an application to the Tautochrone Problem. Brachistochrone: https://www.youtube.com/watch?v=skvnj67YGmw ht

From playlist Analysis

AMAZING SCIENCE TOYS THAT YOU WILL LOVE!

Hi Everyone :) Welcome back! I get asked often: "Where did you get all this stuff?" My goal is to share the real magic of science and physics- and to this end I will update here (and in my store) suggestions on where to get some of these toys, kinetic art pieces, and scientific curiositi

From playlist Amazing physics toys that will Surprise you!

Get Your Science On: Passing on the Right

Check out this awesome experiment made from toy cars and a track. No matter where a car starts on this track, it always takes the same amount of time to reach the end! What's Going On: The track is steeper up on top and becomes less steep as closer to the bottom. A car that starts higher

From playlist Get Your Science On

Amazing Physics Toys/Gadgets 2

Hi Everyone :) Welcome back! I get asked often: "Where did you get all this stuff?" My goal is to share the real magic of science and physics- and to this end I will update here (and in my store) suggestions on where to get some of these toys, kinetic art pieces, and scientific curiositi

From playlist Amazing Physics Toys/Gadgets

What are some characteristics of an isosceles trapezoid

👉 Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

How to sketch parametric curves and their orientation

► My Trigonometry course: https://www.kristakingmath.com/trigonometry-course In this video we talk about how to sketch a parametric curve by plotting points along the curve as the parameter value changes. Keep in mind that parametric curves are different than cartesian curves. Cartesian

From playlist Trigonometry

What is General Relativity? Lesson 69: The Einstein Equation

What is General Relativity? Lesson 69: The Einstein Equation Having done so much work with the Einstein tensor, the interpretation of the Einstein equation is almost anti-climatic! The hard part is finding the Newtonian limit in order to understand the constant of proportionality between

From playlist What is General Relativity?

Etale Theta - part 3.1 - The Groupy Definition of Xu

Here we give an alternative description of the ZZ/l cover of the punctured elliptic curve X. Twitter: @DupuyTaylor

From playlist Etale Theta

What is the difference of a trapezoid and an isosceles trapezoid

👉 Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

Definition of spherical coordinates | Lecture 33 | Vector Calculus for Engineers

We define the relationship between Cartesian coordinates and spherical coordinates; the position vector in spherical coordinates; the volume element in spherical coordinates; the unit vectors; and how to differentiate the spherical coordinate unit vectors. Join me on Coursera: https://www

From playlist Vector Calculus for Engineers

Concavity and Parametric Equations Example

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.

From playlist Calculus

Parametrized curves and algebraic curves | Differential Geometry 3 | NJ Wildberger

This lecture discusses parametrization of curves. We start with the case of conics, going back to the ancient Greeks, and then move to more general algebraic curves, in particular Fermat's cubic, the Folium of Descartes and the Lemniscate of Bernoulli. We talk about the 17th century's fa

From playlist Differential Geometry

Maria Montanucci: Algebraic curves with many rational points over finite fields

CONFERENCE Recording during the thematic meeting : « Conference On alGebraic varieties over fiNite fields and Algebraic geometry Codes» the February 13, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks

From playlist Algebraic and Complex Geometry

Lecture 10: Smooth 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

Binbin Xu: Equivalent curves on surfaces

We consider a closed oriented surface of genus at least 2. For any positive integer k, an essential closed curve on the surface with k self-intersections is called a k-curve. A pair of curves on the surface are said to be k-equivalent, if they have the same intersection numbers with each k

From playlist Topology

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

Ö. Yurttas - Algorithms for multicurves with Dynnikov coordinates

Multicurves have played a fundamental role in the study of mapping class groups of surfaces since the work of Dehn. A beautiful method of describing such systems on the n-punctured disk is given by the Dynnikov coordinate system. In this talk we describe polynomial time algorithms for cal

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

Introduction to Parametric Equations

This video defines a parametric equations and shows how to graph a parametric equation by hand. http://mathispower4u.yolasite.com/

From playlist Parametric Equations