#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)
From playlist Miscellaneous
The Cycloid - The Helen of Geometry
This video defines, shows how a cycloid is formed, and explains 4 interesting properties of a cycloid. http://mathispower4u.com
From playlist Mathematics General Interest
http://www.mekanizmalar.com/speed_reducer.html A cycloidal drive or cycloidal speed reducer is a mechanism for reducing the speed of an input shaft by a certain ratio. Cycloidal speed reducers are capable of high ratios in compact sizes. The input shaft drives an eccentric bearing that in
From playlist Indexing
Calculus 2: Parametric Equations (10 of 20) What is a Cycloid? - Rolling Wheel
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain something unique to parametric equations for finding the positions of x and y. This involves a point on the edge of a rolling wheel tracing out a cycloid “shape” on a graph. Next video in the
From playlist CALCULUS 2 CH 17 PARAMETRIC EQUATIONS
Integration Application: Area Using Parametric Equations - Cycloid
This video explains how to integrate using parametric equations to determine the area of an cycloid. Site: http://mathispower4u.com
From playlist Integration by Substitution
A way to connect fluid to a rotary cylinder. The red fitting is connected to the rear cylinder space through rear center hole of the cylinder. The cyan fitting is connected to the front cylinder space through circular groove on the inner face of the blue connector and long eccentric hole o
From playlist Mechanisms
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
Equations of a Cycloid: A Derivation - feat. Xander Gouws
Xander's channel: https://www.youtube.com/channel/UCzvvjULGBVuXZMN_yLS8OUQ I hope you are going to enjoy this great presentation by Xander! =) Please leave your constructive criticism in the comments, everyone's giving it their best! =) Merch :v - https://teespring.com/de/stores/papafla
From playlist Analytical Mechanics
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
Yohai Reani (9/21/22): Persistent Cycle Registration and Topological Bootstrap
In this talk we will present a novel approach for comparing the persistent homology representations of two spaces (filtrations). Commonly used comparison methods are based on numerical summaries such as persistence diagrams and persistence landscapes, along with suitable metrics (e.g. Wass
From playlist AATRN 2022
Cycle Notation of Permutations - Abstract Algebra
Cycle Notation gives you a way to compactly write down a permutation. Since the symmetric group is so important in the study of groups, learning cycle notation will speed up your work with the group Sn. In this lesson we show you how to convert a permutation into cycle notation, talk abo
From playlist Abstract Algebra
What is a Graph Cycle? | Graph Theory, Cycles, Cyclic Graphs, Simple Cycles
What is a graph cycle? In graph theory, a cycle is a way of moving through a graph. We can think of a cycle as being a sequence of vertices in a graph, such that consecutive vertices are adjacent, and all vertices are distinct except for the first and last vertex, which are required to be
From playlist Graph Theory
Lie Groups and Lie Algebras: Lesson 45 Group Theory Review #4
Please consider supporting this channel on Patreon: https://www.patreon.com/XYLYXYLYX The software I usually use to produce the lectures is: https://apps.apple.com/us/app/vittle-pro-video-whiteboard/id629037418
From playlist Lie Groups and Lie Algebras
GT17. Symmetric and Alternating Groups
EDIT: at 15:00, we have (abcde) = (abc)(cde) instead of (abc)(ade) Abstract Algebra: We review symmetric and alternating groups. We show that S_n is generated by its 2-cycles and that A_n is generated by its 3-cycles. Applying the latter with the Conjugation Formula, we show that A_5 i
From playlist Abstract Algebra
Proof: Graph with n Vertices and n-1 Edges is a Tree | Graph Theory
A connected graph with n vertices and n-1 edges must be a tree! We'll be proving this result in today's graph theory lesson! We previously proved that a tree graph with n vertices must have n-1 edges, so this gives us a characterization of tree graphs as follows. A connected graph is a tr
From playlist Graph Theory
Graph Theory: 26. Cycle Decomposition iff All Vertices Have Even Degre
A proof of a theorem that a graph admits a cycle decomposition if and only if every vertex has even degree. One direction of the proof uses induction. An introduction to Graph Theory by Dr. Sarada Herke. For quick videos about Math tips and useful facts, check out my other channel "Spo
From playlist Graph Theory part-5
Modular Arithmetic: Addition in Motion
Modular arithmetic visually! We explore addition modulo n, and discover and prove the number of cycles and their sizes. We use a visualization tool called a "dynamical portrait." This treatment is inspired by Martin H. Weissman's beautiful book, An Illustrated Theory of Numbers. This v
From playlist Modular Arithmetic Visually
Lori Ziegelmeier: Minimal Cycle Representatives in Persistent Homology using Linear Programming
Abstract: Cycle representatives of persistent homology classes can be used to provide descriptions of topological features in data. However, the non-uniqueness of these representatives creates ambiguity and can lead to many different interpretations of the same set of classes. One approach
From playlist Vietoris-Rips Seminar
GT18.2. A_n is Simple (n ge 5)
Abstract Algebra: Using conjugacy classes, we give a second proof that A5, the alternating group on 5 letters, is simple. We adapt the first proof that A5 is simple to show that An is simple when n is greater than 5. The key step is to show that any normal subgroup with more than the id
From playlist Abstract Algebra
23 Algebraic system isomorphism
Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.
From playlist Abstract algebra