In mathematics, Pieri's formula, named after Mario Pieri, describes the product of a Schubert cycle by a special Schubert cycle in the Schubert calculus, or the product of a Schur polynomial by a complete symmetric function. In terms of Schur functions sλ indexed by partitions λ, it states that where hr is a complete homogeneous symmetric polynomial and the sum is over all partitions λ obtained from μ by adding r elements, no two in the same column.By applying the ω involution on the ring of symmetric functions, one obtains the dual Pieri rulefor multiplying an elementary symmetric polynomial with a Schur polynomial: The sum is now taken over all partitions λ obtained from μ by adding r elements, no two in the same row. Pieri's formula implies Giambelli's formula. The Littlewood–Richardson rule is a generalization of Pieri's formula giving the product of any two Schur functions. Monk's formula is an analogue of Pieri's formula for flag manifolds. (Wikipedia).
The golden ratio | Lecture 3 | Fibonacci Numbers and the Golden Ratio
The classical definition of the golden ratio. Two positive numbers are said to be in the golden ratio if the ratio between the larger number and the smaller number is the same as the ratio between their sum and the larger number. Phi=(1+sqrt(5))/2 approx 1.618. Join me on Coursera: http
From playlist Fibonacci Numbers and the Golden Ratio
Illustrates the solution of a Riccati first-order differential equation. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf
From playlist Differential Equations with YouTube Examples
Viviani's Theorem | Visualization and Proof
A visual proof of Viviani's theorem. For any point inside an equilateral triangle, the sum of its perpendicular distances from the three sides is constant. And, this sum is equal to the length of the triangle's altitude. Follow: https://instagram.com/doubleroot.in Music by CeeaDidIt from
From playlist Summer of Math Exposition Youtube Videos
Darij Grinberg -Quotients of Symmetric Polynomial Rings Deforming theCohomology of the Grassmannian
One of the many connections between Grassmannians and combinatorics is cohomological: The cohomology ring of a Grassmannian Gr(k,n) is a quotient of the ring S of symmetric polynomials in k variables. More precisely, it is the quotient of S by the ideal generated by the k consecutive compl
From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020
Ex: Solve a Bernoulli Differential Equation Using Separation of Variables
This video explains how to solve a Bernoulli differential equation. http://mathispower4u.com
From playlist Bernoulli Differential Equations
Python Applications with Habitat - ChefConf 2017
George Marshall, Software Developer at Media Temple - ChefConf 2017 Learn how to effectively deploy Python-based applications with Habitat. This is a tale of the effort behind deploying a Sentry (real-time error tracking) cluster to production. Covering the things I wish that I had known
From playlist ChefConf 2017
King Pyrrhus: Eagle of the Epirotes
Watch The Great Commanders Episode One: Alexander the Great for FREE until July 6, 2022: https://www.magellantv.com/series/the-great-commanders/alexander-the-great You can also gain access to MagellanTV’s entire history collection with my SPECIAL OFFER, a 1-month free membership: https:
From playlist Rome
Ax-Schanuel for Shimura varieties - J. Pila- Workshop 3 - CEB T1 2018
Jonathan Pila (Oxford) / 27.03.2018 Ax-Schanuel for Shimura varieties In 1971, Ax proved functional versions of Scahanuel’s conjecture for the expoential function, including in the setting of differential fields. This result is known as “Ax-Schanuel”. I will describe joint work with N. M
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Binet's formula | Lecture 5 | Fibonacci Numbers and the Golden Ratio
Derivation of Binet's formula, which is a closed form solution for the Fibonacci numbers. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confir
From playlist Fibonacci Numbers and the Golden Ratio
Euler's formulas, Rodrigues' formula
In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5
From playlist Algebra
DEMONSTRATIONS with REMOVED FIGURE MODELS #5
Demos with redacted figures
From playlist DEMONSTRATIONS with REMOVED FIGURE MODELS
Alessio Figalli, Fields medallist 2018 - International Meeting - 14 January 2019
https://www.sns.it/it/evento/alessio-figalli-fields-medallist-2018 Alessio Figalli, Fields medallist 2018 International Meeting This event gathers mathematicians that had a major role in Figalli’s career, either by inspiring and guiding him during his early stage, or by collaborating wit
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Viviani's Theorem (visual proof via rotation)
This is a short, animated visual proof of Viviani's theorem, which states that the sum of the distances from any interior point to the sides of an equilateral triangle is equal to the length of the triangle's altitude. #math #geometry #mtbos #manim #animation #theorem #pww #proofwith
From playlist Proofs Without Words
Ex: Solve a Bernoulli Differential Equation Using an Integrating Factor
This video explains how to solve a Bernoulli differential equation. http://mathispower4u.com
From playlist Bernoulli Differential Equations
Illustrates the solution of a Bernoulli first-order differential equation. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf
From playlist Differential Equations with YouTube Examples
Excel Basics 12: Complete Formula Lesson of Formula Types & Formula Elements 12 Examples
Highline College Busn 216 Class: Computer Applications taught by Michael Girvin. Download Excel Start & Finished File: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/EB12-FormulaElements.xlsm Download Full Written Notes: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/Office20
From playlist Excel Formulas - Basics and Beyond
Highline Excel 2016 Class 02: Excel Fundamentals: Comprehensive Formula Lesson (15 Examples)
Download Files: https://people.highline.edu/mgirvin/AllClasses/218_2016/218Excel2016.htm In this video learn about: 1. (00:13) Introduction 2. (10:09) Excel’s Golden Rule 3. (04:31) Look at list of Formula Types and Formula Elements 4. (06:29) Number Formula Examples 5. (08:24) Text and Nu
From playlist Excel Advanced Free Course at YouTube. Comprehensive Excel 2016: Calculations & Data Analysis (27 Videos)
This is a short, animated visual proof of Viviani's theorem, which states that the sum of the distances from any interior point to the sides of an equilateral triangle is equal to the length of the triangle's altitude. #math #geometry #mtbos #manim #animation #theorem #pww #proofwith
From playlist MathShorts
Excel Statistical Analysis 03: Comprehensive Worksheet Formula & Model Building Video
Download Excel File: https://excelisfun.net/files/Ch01-ESA.xlsm Learn the fundamentals of Excel worksheet formulas, functions and how to build worksheet models. Topics: (00:00) Introduction (00:19) Topics in video (00:45) Worksheet Formula Elements: what can go into a formula (01:57) Excel
From playlist Excel Statistical Analysis for Business Class Playlist of Videos from excelisfun