Vector spaces | Algebra | Vectors (mathematics and physics)

Primordial element (algebra)

In algebra, a primordial element is a particular kind of a vector in a vector space. (Wikipedia).

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Linear Transformations: Onto

Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

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20 The identity element

Sets might contain an element that can be identified as an identity element under some binary operation. Performing the operation between the identity element and any arbitrary element in the set must result in the arbitrary element. An example is the identity element for the binary opera

From playlist Abstract algebra

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10A An Introduction to Eigenvalues and Eigenvectors

A short description of eigenvalues and eigenvectors.

From playlist Linear Algebra

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Definition of a group Lesson 24

In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el

From playlist Abstract algebra

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Units in a Ring (Abstract Algebra)

The units in a ring are those elements which have an inverse under multiplication. They form a group, and this “group of units” is very important in algebraic number theory. Using units you can also define the idea of an “associate” which lets you generalize the fundamental theorem of ar

From playlist Abstract Algebra

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Abstract Algebra | Principal Ideals of a Ring

We define the notion of a principal ideal of a ring and give some examples. We also prove that all ideals of the integers are principal ideals, that is, the integers form a principal ideal domain (PID). http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://

From playlist Abstract Algebra

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RNT1.4. Ideals and Quotient Rings

Ring Theory: We define ideals in rings as an analogue of normal subgroups in group theory. We give a correspondence between (two-sided) ideals and kernels of homomorphisms using quotient rings. We also state the First Isomorphism Theorem for Rings and give examples.

From playlist Abstract Algebra

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Algebra for Beginners | Basics of Algebra

#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten

From playlist Linear Algebra

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Lecture 1. Definition of rings

Definition of rings and fields; ring operations; units.

From playlist Abstract Algebra 2

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The Riemann-Hilbert Correspondence in Nonarchimedean Geometry - Jacob Lurie

IAS/Princeton Arithmetic Geometry Seminar Topic: The Riemann-Hilbert Correspondence in Nonarchimedean Geometry Speaker: Jacob Lurie Affiliation: Member, School of Mathematics Date: March 13, 2023 Let X be a smooth projective variety over the field of complex numbers. The classical Rieman

From playlist Mathematics

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Double covers of tori and the local Langlands correspondence - Tasho Kaletha

Workshop on Representation Theory and Geometry Topic: Double covers of tori and the local Langlands correspondence Speaker: Tasho Kaletha Affiliation: University of Michigan Date: April 02, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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Cosmological Perturbation Theory (Lecture 1) by David Wands

PROGRAM PHYSICS OF THE EARLY UNIVERSE (HYBRID) ORGANIZERS: Robert Brandenberger (McGill University, Canada), Jerome Martin (IAP, France), Subodh Patil (Leiden University, Netherlands) and L. Sriramkumar (IIT - Madras, India) DATE: 03 January 2022 to 12 January 2022 VENUE: Online and Ra

From playlist Physics of the Early Universe - 2022

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Gravitational Lensing of Gravitational Waves: A New Probe of Primordial Black Holes by P. Ajith

PROGRAM LESS TRAVELLED PATH TO THE DARK UNIVERSE ORGANIZERS: Arka Banerjee (IISER Pune), Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE & TIME: 13 March 2023 to 24 March 2023 VENUE: Ramanujan

From playlist LESS TRAVELLED PATH TO THE DARK UNIVERSE

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How Did Our Universe Emerge From Chaos?

Head over to https://bit.ly/3AvGyDT to get 100 blades FREE with your first razor from Henson, using the code 'universe'. ------------------------------------------------------------------------ Researched and Written by JD Voyek Narrated and Edited by David Kelly Thumbnail Art by Ettore Ma

From playlist The Entire History of the Universe

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Detecting Primordial Black Holes with Celeste Keith

My guest today is Celeste Keith, a graduate student at the University of Chicago. Celeste and her team are searching for ways to detect the presence of primordial black holes, leftover from the Big Bang. These could be an explanation for dark matter and other phenomena in the Universe. ht

From playlist Interviews

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New Opportunities for Primordial Black Hole Detection by Volodymyr Takhistov

PROGRAM LESS TRAVELLED PATH OF DARK MATTER: AXIONS AND PRIMORDIAL BLACK HOLES (ONLINE) ORGANIZERS: Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata / SINP, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE: 09 November 2020 to 13 Novemb

From playlist Less Travelled Path of Dark Matter: Axions and Primordial Black Holes (Online)

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Remnants From the Early Universe. Primordial Black Holes

Black holes are already mind-bending enough. Matter and energy compressed into a region so dense that the escape velocity exceeds the speed of light. Places where space and time are tangled up so much that even if you could go faster than light speed, you’d still end up at the singularity.

From playlist Guide to Space

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Search for the Edge of Space - 4k

The universe has long captivated us with its immense scales of distance and time. Many astronomers today have come to believe that what we can see represents only a small fraction of all there is. They are pioneering bold new theories that describe a cosmic landscape that extends far beyon

From playlist SpaceRip 4K

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Plenary Lectures by Stan Whitcomb, Francois Bouchet

PROGRAM : INTERNATIONAL CONFERENCE ON GRAVITATION AND COSMOLOGY [ICGC2011] ORGANIZERS : Subhabrata Majumdar, B.S. Sathyaprakash, Tejinder Pal Singh and Tarun Souradeep DATE : 14 -19 DECEMBER 2011 VENUE : IUCAA, Pune and Holiday Inn, Mobor Beach, Goa Frontiers of Cosmology and Gravitatio

From playlist International Conference on Gravitation and Cosmology 2011

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Linear algebra for Quantum Mechanics

Linear algebra is the branch of mathematics concerning linear equations such as. linear functions and their representations in vector spaces and through matrices. In this video you will learn about #linear #algebra that is used frequently in quantum #mechanics or #quantum #physics. ****

From playlist Quantum Physics

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Basis (linear algebra) | Vector space | Indexed family | Field (mathematics) | Vector (mathematics and physics) | Algebra