Combinatorics | Generating functions

Cyclic sieving

In combinatorial mathematics, cyclic sieving is a phenomenon by which evaluating a generating function for a finite set at roots of unity counts symmetry classes of objects acted on by a cyclic group. (Wikipedia).

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Swinging cylinder

A way to connect fluid to a swinging cylinder. Fluid enters and leaves the swinging cylinder through its stationary pivot so flexible pipes are not needed. All pink parts are stationary. The arrows show fluid flows.

From playlist Mechanisms

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Geneva Wheel for Precise Indexing

A modified type of Geneva wheel that was developed to obtain precise intermittent indexing movements. This special mechanism was designed to eliminate any backlash or over-running action of the driven member at the end or beginning of each indexing movement. It uses a double locking, with

From playlist Geneva Mechanisms

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reciprocating rack geneva dwell

A reciprocating movement mechanism. It uses an eccentric shaft to move a mutilated geneva wheel, resulting in a non-continuous reciprocating movement, with iddle times between movements. The output is rotation, but can be converted to linear using another rack/pinion or a slider-crank mech

From playlist Geneva Mechanisms

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C80 Solving a linear DE with Laplace transformations

Showing how to solve a linear differential equation by way of the Laplace and inverse Laplace transforms. The Laplace transform changes a linear differential equation into an algebraical equation that can be solved with ease. It remains to do the inverse Laplace transform to calculate th

From playlist Differential Equations

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Hydraulic cylinder with fixed piston

Green cylinder with machine table reciprocates. Pressure fluid is conducted into cylinder via holes on fixed piston rod. The hoses can be stationary. In case using holes on the cylinder the hoses have to move with the cylinder. The arrows show flows of pressure fluid.

From playlist Mechanisms

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Hydrostatic Transmission

Hydrostatic transmissions with fixed or variable hydraulic pumps and fixed or variable motor combinations provide an extended range of motor speeds and torques.

From playlist Pneumatic and Hydraulics

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CTNT 2020 - Computations in Number Theory (by Alvaro Lozano-Robledo) - Lecture 2

The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2020 - Computations in Number Theory Research

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Chantal David: Distributions of Frobenius of elliptic curves #2

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

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Nicholas Triantafillou, Computing isolated points on modular curves

VaNTAGe seminar, on Nov 10, 2020 License: CC-BY-NC-SA.

From playlist ICERM/AGNTC workshop updates

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Cyclic Quadrilateral: Proof Hint!

Link: https://www.geogebra.org/m/KYdypjws

From playlist Geometry: Dynamic Interactives!

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Lec 9 | MIT 6.451 Principles of Digital Communication II

Introduction to Finite Fields View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.451 Principles of Digital Communication II

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Combinatorial affine sieve - Alireza Salehi Golsefidy

Speaker: Alireza Salehi Golsefidy (UCSD) Title: Combinatorial affine sieve Abstract: In this talk the general setting of affine sieve will be presented. Next I will explain the Bourgain-Gamburd-Sarnak method on proving affine sieve in the presence of certain spectral gap. Finally I will sa

From playlist Mathematics

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Powers as values of polynomials - David (Roger) Heath-Brown [2011]

Arithmetic Statistics April 11, 2011 - April 15, 2011 April 14, 2011 (02:10 PM PDT - 03:00 PM PDT) Speaker(s): David (Roger) Heath-Brown (University of Oxford) Location: MSRI: Simons Auditorium http://www.msri.org/workshops/567/schedules/12704

From playlist Number Theory

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Perverse schobers and semi-orthogonal decompositions - Mikhail Kapranov

Vladimir Voevodsky Memorial Conference Topic: Perverse schobers and semi-orthogonal decompositions Speaker: Mikhail Kapranov Affiliation: Institute for Advanced Study Date: September 14, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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Mikhail Kapranov - Perverse schobers on surfaces via Ran categories

Abstract: Perverse schobers and conjectural categorical analogs of perverse sheaves, where vector spaces are replaced by triangulated categories. The talk will present a natural definition of such object for the case when the base space is a Riemann surface. The construction is based on

From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday

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The Two-Dimensional Discrete Fourier Transform

The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen

From playlist Fourier

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Ratchet mechanism 7

This mechanism directly converts the continuous rotary motion of a drive shaft into the intermittent linear motion of a rack. To flip the green pawl to change the motion direction of the rack without changing the input motion direction.

From playlist Mechanisms

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Chantal David: Distributions of Frobenius of elliptic curves #5

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

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An asymptotic version of the prime power conjecture for perfect difference sets - Sarah Peluse

Joint IAS/Princeton University Number Theory Seminar Topic: An asymptotic version of the prime power conjecture for perfect difference sets Speaker: Sarah Peluse Affiliation: Institute for Advanced Study and Princeton University; Veblen Research Instructor, School of Mathematics Date: Se

From playlist Mathematics

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Intermittent geneva pins

This is an indexer mechanism. It uses a combination of two intermittent mechanisms. A mutilated gear determines the still/moving cycle times. And a geneva mechanism makes the movement and locks the driven wheel.

From playlist Geneva Mechanisms

Related pages

Root of unity | Binomial coefficient | Schur polynomial | Hook length formula | Combinatorics | Cyclic group | Generating function