Summary statistics for categorical data | Measurement of biodiversity

Alpha diversity

In ecology, alpha diversity (α-diversity) is the mean species diversity in a site at a local scale. The term was introduced by R. H. Whittaker together with the terms beta diversity (β-diversity) and gamma diversity (γ-diversity). Whittaker's idea was that the total species diversity in a landscape (gamma diversity) is determined by two different things, the mean species diversity in sites at a more local scale (alpha diversity) and the differentiation among those sites (beta diversity). (Wikipedia).

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AlphaFold Protein Structure Database

With EMBL-EBI, we're proud to launch the AlphaFold Protein Structure Database, which offers the most complete and accurate picture of the human proteome, doubling humanity’s accumulated knowledge of high-accuracy human protein structures - for free. Try it today: dpmd.ai/alphafolddb

From playlist The story of AlphaFold

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Homomorphisms in abstract algebra

In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu

From playlist Abstract algebra

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FIT2.3.1. Algebraic Numbers

Field Theory: We consider the property of algebraic in terms of finite degree, and we define algebraic numbers as those complex numbers that are algebraic over the rationals. Then we give an overview of algebraic numbers with examples.

From playlist Abstract Algebra

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Isomorphisms (Abstract Algebra)

An isomorphism is a homomorphism that is also a bijection. If there is an isomorphism between two groups G and H, then they are equivalent and we say they are "isomorphic." The groups may look different from each other, but their group properties will be the same. Be sure to subscribe s

From playlist Abstract Algebra

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Chapter 6: Homomorphism and (first) isomorphism theorem | Essence of Group Theory

The isomorphism theorem is a very useful theorem when it comes to proving novel relationships in group theory, as well as proving something is a normal subgroup. But not many people can understand it intuitively and remember it just as a kind of algebraic coincidence. This video is about t

From playlist Essence of Group Theory

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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

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Group Isomorphisms in Abstract Algebra

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Isomorphisms in Abstract Algebra - Definition of a group isomorphism and isomorphic groups - Example of proving a function is an Isomorphism, showing the group of real numbers under addition is isomorphic to the group of posit

From playlist Abstract Algebra

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Group Homomorphisms - Abstract Algebra

A group homomorphism is a function between two groups that identifies similarities between them. This essential tool in abstract algebra lets you find two groups which are identical (but may not appear to be), only similar, or completely different from one another. Homomorphisms will be

From playlist Abstract Algebra

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Visual Group Theory, Lecture 4.1: Homomorphisms and isomorphisms

Visual Group Theory, Lecture 4.1: Homomorphisms and isomorphisms A homomoprhism is function f between groups with the key property that f(ab)=f(a)f(b) holds for all elements, and an isomorphism is a bijective homomorphism. In this lecture, we use examples, Cayley diagrams, and multiplicat

From playlist Visual Group Theory

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Assessing Game Balance with AlphaZero: Exploring Alternative Rule Sets in Chess (Paper Explained)

#ai #chess #alphazero Chess is a very old game and both its rules and theory have evolved over thousands of years in the collective effort of millions of humans. Therefore, it is almost impossible to predict the effect of even minor changes to the game rules, because this collective proce

From playlist Reinforcement Learning

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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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Effective Rational Approximation on Spheres by Zouhair Ouaggag

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) Effective rational approximation on spheres I present an effective estimate for the counting function of Diophantine approximants on spheres. This result uses homogeneous dynamics on the space of orthogonal lattices, in particular e

From playlist Ergodic Theory and Dynamical Systems 2022

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Biological Sciences M121. Immunology with Hematology. Lecture 12. Antigen Processing & MHC Genetics.

UCI BioSci M121: Immunology with Hematology (Fall 2013) Lec 12. Immunology with Hematology -- Antigen Processing & MHC Genetics -- View the complete course: http://ocw.uci.edu/courses/biosci_m121_immunology_with_hematology.html Instructor: David A. Fruman, Ph.D. License: Creative Commons

From playlist Biological Sciences M121: Immunology with Hematology

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Biological Sciences M121. Immunology with Hematology. Lecture 10. B Cell Development.

UCI BioSci M121: Immunology with Hematology (Fall 2013) Lec 10. Immunology with Hematology -- B Cell Development -- 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-BY-SA Terms

From playlist Biological Sciences M121: Immunology with Hematology

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IMT4306 Mobile Research: Privacy and Anonymity

IMT4306 Introduction to Research in Mobile Decentralised systems, privacy, anonymity, privacy techniques.

From playlist 2021 - IMT4306 - Mobile Research

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Dynamic contracts part I

Distinguished Visitor Lecture Series Dynamic contracts Yuliy Sannikov Stanford University, USA

From playlist Distinguished Visitors Lecture Series

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Serghei Mangul: "Dumpster Diving in RNASeq to Find the Source of Every Last Read"

Computational Genomics Summer Institute 2016 "Dumpster Diving in RNASeq to Find the Source of Every Last Read" Serghei Mangul, UCLA Institute for Pure and Applied Mathematics, UCLA July 29, 2016 For more information: http://computationalgenomics.bioinformatics.ucla.edu/

From playlist Computational Genomics Summer Institute 2016

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Copy number variation and the secret of life - with Aoife McLysaght

Evolution is powered by variation: the differences in DNA sequences. One hugely important form of difference is copy number variation, where genes are duplicated or deleted from one generation to the next. In this Ri event, Aoife McLysaght from Univeristy of Dublin explains how copy numb

From playlist Ri Talks

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GT9. Group Isomorphisms

Abstract Algebra: In analogy with bijections for sets, we define isomorphisms for groups. We note various properties of group isomorphisms and a method for constructing isomorphisms from onto homomorphisms. We also show that isomorphism is an equivalence relation on the class of groups.

From playlist Abstract Algebra

Related pages

Gamma diversity | Diversity index | Zeta diversity | Measurement of biodiversity | Phylogenetic diversity | Species richness | Species diversity | Beta diversity | Generalized mean