In geometry, a lemon is a geometric shape, constructed as the surface of revolution of a circular arc of angle less than half of a full circle, rotated about an axis passing through the endpoints of the lens (or arc). The surface of revolution of the complementary arc of the same circle, through the same axis, is called an apple. The apple and lemon together make up a self-crossing torus, the surface of revolution of the entire circle, with the apple as the outer shell of the torus and the lemon as its inner shell. The lemon forms the boundary of a convex set, while its surrounding apple is non-convex. The ball in North American football has a shape resembling a geometric lemon. However, although used with a related meaning in geometry, the term "football" is more commonly used to refer to a surface of revolution whose Gaussian curvature is positive and constant, formed from a more complicated curve than a circular arc. Alternatively, a football may refer to a more abstract orbifold, a surface modeled locally on a sphere except at two points. (Wikipedia).
Phase space representation of billiards in a stadium and in a lemon
The uncompressed video can be downloaded here: https://filesender.renater.fr/?s=download&token=9785c149-ea1a-4713-81f8-f343511f19be (link expires 29/09/2022). This second video of phase space representations of mathematical billiards features two types of billiards obtained by moving two
From playlist Billiards in a stadium
What are Golden Rectangles? Geometry Terms and Definitions
Golden rectangles are considered by many to be the most beautiful of all rectangles. Consequently, this shape is used in many buildings and to frame many characters in artwork. Learn about this shape and its precise definition. Geometer: Louise McCartney Artwork: Kelly Vivanco Director
From playlist Socratica: The Geometry Glossary Series
If life gives you a lemon billiard, use it to make lemonade!
This billiard is made of two intersecting circular arcs, and can be seen as a stadium with straight parts of negative length. It is a billiard of so-called mixed type, as it features both regular and chaotic trajectories. There is a periodic trajectory, bouncing back and forth along the ho
From playlist Billiards in a stadium
Determine the values of two angles that lie on a lie with a third angle
👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
Topological Constructs and Phases on Polarization Singularities by P. Senthilkumaran
DISCUSSION MEETING STRUCTURED LIGHT AND SPIN-ORBIT PHOTONICS ORGANIZERS: Bimalendu Deb (IACS Kolkata, India), Tarak Nath Dey (IIT Guwahati, India), Subhasish Dutta Gupta (UOH, TIFR Hyderabad, India) and Nirmalya Ghosh (IISER Kolkata, India) DATE: 29 November 2022 to 02 December 2022 VE
From playlist Structured Light and Spin-Orbit Photonics - Edited
Arithmetic word problems with volume | 3rd grade | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-third-grade-math/imp-measurement-and-data/imp-volume/v/arithmetic-word-problems-with-volume Learn how to solve some practice problems using volume. Practice t
From playlist Measurement and geometry | 3rd Grade | Khan Academy
Similarity in Right Triangles (I)
Link: https://www.geogebra.org/m/fswR8fRV
From playlist Geometry: Dynamic Interactives!
Angle-Angle Triangle Similarity Theorem: Dynamic Proof
Link: https://www.geogebra.org/m/Q8EYTUK2
From playlist Geometry: Dynamic Interactives!
Intro to the Philosophy of Mathematics (Ray Monk)
A good introduction to the philosophy of mathematics by Ray Monk. He considers the issue of the nature of mathematical truth - what mathematics is actually about - and discusses the views of Plato, Aristotle, Kant, Frege and Russell. What is mathematics about? Is mathematics something disc
From playlist Logic & Philosophy of Mathematics
Using the properties of rectangles to solve for x
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
What are the properties that make up a rectangle
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Recent progress on Overdetermined Elliptic Problems - Jose Espinar
Variational Methods in Geometry Seminar Topic: Recent progress on Overdetermined Elliptic Problems Speaker: Jose Espinar Affiliation: IMPA Date: October 30, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Classification of algebraic varieties - Jakub Witaszek
Short talks by postdoctoral members Topic: Classification of algebraic varieties Speaker: Jakub Witaszek Affiliation: Imperial College London; Member, School of Mathematics Date: Oct 5, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Gas is $4.50, your car gets 20 MPG – how far can you go with $175 in gas?
TabletClass Math: https://tcmathacademy.com/ High gas prices, how to calculate how far your car will travel with a certain mpg. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math N
From playlist GED Prep Videos
Stefania Ebli (8/29/21): Simplicial Neural Networks
In this talk I will present simplicial neural networks (SNNs), a generalization of graph neural networks to data that live on a class of topological spaces called simplicial complexes. These are natural multi-dimensional extensions of graphs that encode not only pairwise relationships but
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
ggplot2 Tutorial | ggplot2 In R Tutorial | Data Visualization In R | R Training | Edureka
( R Training : https://www.edureka.co/data-analytics-with-r-certification-training ) This "ggplot2 Tutorial" by Edureka is a comprehensive session on the ggplot2 in R. This tutorial will not only get you started with the ggplot2 package, but also make you an expert in visualizing data wit
From playlist Data Science Tutorial Videos
How to Install BSPWM - How not to install Lemonbar and Polybar
In another video where Matt knows not what he is doing, he walks through the process of installing bswpm from scratch (successfully), lemonbar from scratch (unsuccessfully), and Polybar (eventually successfully). Note: At the beginning, I say that this is for Arch users only, don't pay
From playlist Linux Tutorials
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