Measurement of biodiversity

Zeta diversity

In ecology, zeta diversity (ζ-diversity), first described in 2014, measures the degree of overlap in the type of taxa present between a set of observed communities. It was developed to provide a more generalized framework for describing various measures of diversity, and can also be used to test various hypotheses pertaining to biogeography. (Wikipedia).

Zeta diversity
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More identities involving the Riemann-Zeta function!

By applying some combinatorial tricks to an identity from https://youtu.be/2W2Ghi9idxM we are able to derive two identities involving the Riemann-Zeta function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist The Riemann Zeta Function

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Some identities involving the Riemann-Zeta function.

After introducing the Riemann-Zeta function we derive a generating function for its values at positive even integers. This generating function is used to prove two sum identities. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist The Riemann Zeta Function

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Multiple Zeta Values - Francis Brown

Francis Brown CNRS/Institut de Math. de Jussieu, Paris April 19, 2012 I will report on some recent work on multiple zeta values. I will sketch the definition of motivic multiple zeta values, which can be viewed as a prototype of a Galois theory for certain transcendental numbers, and then

From playlist Mathematics

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Monotonicity of the Riemann zeta function and related functions - P Zvengrowski [2012]

General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences May 17, 2012 14:00, St. Petersburg, POMI, room 311 (27 Fontanka) Monotonicity of the Riemann zeta function and related functions P. Zvengrowski University o

From playlist Number Theory

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Mark Pollicott - Dynamical Zeta functions (Part 2)

Dynamical Zeta functions (Part 1) Licence: CC BY NC-ND 4.0

From playlist École d’été 2013 - Théorie des nombres et dynamique

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More Riemann Zeta function identities!!

Building upon our previous video, we present three more Riemann zeta function identities. Video 1: https://youtu.be/2W2Ghi9idxM Video 2: https://www.youtube.com/watch?v=bRdGQKwusiE http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.e

From playlist The Riemann Zeta Function

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The distribution of values of zeta and L-functions

50 Years of Number Theory and Random Matrix Theory Conference Topic: The distribution of values of zeta and L-functions Speaker: Kannan Soundararajan Affiliation: Stanford University Date: June 21, 2022 I will survey recent progress on understanding the value distribution of zeta and L-f

From playlist Mathematics

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1 + 2 + 3 + 4 + 5 + 6 + ... = –1/12 | Six proofs | Divergent Series

This video presents six proofs of the famous sum of the monotonic divergent series of natural numbers 1 + 2 + 3 + 4 + 5 + 6 + ... = –1/12 00:00 Introduction 00:15 Proof 1 – Generating Function 03:49 Proof 2 – Direct Calculation 06:50 Proof 3 – Intercept Function 11:13 Proof 4 – Partia

From playlist Summer of Math Exposition 2 videos

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Hoang Ngoc Minh - MRS Factorisations and Applications

We review simultaneously the essential steps to establish the equation bridging the algebraic structures of converging polyzetas, via their noncommutative generating series put in factorised form MRS. This equation then allows us to describe polynomial relations, homogenous in weight, amon

From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020

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Biological Sciences M121. Immunology with Hematology. Lecture 11. Antigen Recognition by T cells.

UCI BioSci M121: Immunology with Hematology (Fall 2013) Lec 11. Immunology with Hematology -- Antigen Recognition by T cells -- View the complete course: http://ocw.uci.edu/courses/biosci_m121_immunology_with_hematology.html Instructor: David A. Fruman, Ph.D. License: Creative Commons CC-

From playlist Biological Sciences M121: Immunology with Hematology

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The Birds, Bees and the MEMES - Our Lord and Saviour -1/12 [ Math Snaccs #3 ]

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://shop.spreadshirt.de/papaflammy 2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg Putnam int: https://youtu.be/WFmWCsO

From playlist Integrals

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John Thompson: Dirichlet series and SL(2,Z)

This lecture was held by Abel Laureate John G. Thompson at The University of Oslo, May 21, 2008 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2008 1. Abel Laureate John Thompson: “Dirichlet series and SL(2,Z)" 2

From playlist John Griggs Thompson

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Understanding and computing the Riemann zeta function

In this video I explain Riemann's zeta function and the Riemann hypothesis. I also implement and algorithm to compute the return values - here's the Python script:https://gist.github.com/Nikolaj-K/996dba1ff1045d767b10d4d07b1b032f

From playlist Programming

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Real-Space Stochastic GW Calculations Benchmark on GW100 by Ishita Shitut

DISCUSSION MEETING : APS SATELLITE MEETING AT ICTS ORGANIZERS : Ranjini Bandyopadhyay (RRI, India), Subhro Bhattacharjee (ICTS-TIFR, India), Arindam Ghosh (IISc, India), Shobhana Narasimhan (JNCASR, India) and Sumantra Sarkar (IISc, India) DATE & TIME: 15 March 2022 to 18 March 2022 VEN

From playlist APS Satellite Meeting at ICTS-2022

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"How to Verify the Riemann Hypothesis for the First 1,000 Zeta Zeros" by Ghaith Hiary

An overview of algorithms and methods that mathematicians in the 19th century and the first half of the 20th century used to verify the Riemann hypothesis. The resulting numerical computations, which used hand calculations and mechanical calculators, include those by Gram, Lindelöf, Backlu

From playlist Number Theory Research Unit at CAMS - AUB

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The Riemann Hypothesis - Picturing The Zeta Function

in this chapter i will show how to visualize the zeta and eta functions in the proper way meaning that everything on those two functions is made out of spirals all over the grid and the emphasis in this chapter will be on the center points of the spirals mainly the divergent spirals 0:00

From playlist Summer of Math Exposition Youtube Videos

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Stochastic climate models with Lévy noise by Michael Hoegele (Part 2)

ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p

From playlist Summer Research Program on Dynamics of Complex Systems

Related pages

Operational taxonomic unit | Alpha diversity | Jaccard index | Beta diversity