Homogeneous polynomials | Abstract algebra
In mathematics, in particular in algebra, polarization is a technique for expressing a homogeneous polynomial in a simpler fashion by adjoining more variables. Specifically, given a homogeneous polynomial, polarization produces a unique symmetric multilinear form from which the original polynomial can be recovered by evaluating along a certain diagonal. Although the technique is deceptively simple, it has applications in many areas of abstract mathematics: in particular to algebraic geometry, invariant theory, and representation theory. Polarization and related techniques form the foundations for . (Wikipedia).
Polar to rectangular equation conversion
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Write a rectangular equation in polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Polarization of Light: circularly polarized, linearly polarized, unpolarized light.
3D animations explaining circularly polarized, linearly polarized, and unpolarized electromagnetic waves.
From playlist Physics
Learn to write an equation in polar form to rectangular form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Learn how to write a polar equation in rectangular form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Duality, polarity and projective linear algebra (II) | Differential Geometry 11 | NJ Wildberger
We review the simple algebraic set-up for projective points and projective lines, expressed as row and column 3-vectors. Transformations via projective geometry are introduced, along with an introduction to quadratic forms, associated symmetrix bilinear forms, and associated projective 3x3
From playlist Differential Geometry
14L Polar Form of Complex Numbers and the nth Root
The n-th root of a number.
From playlist Linear Algebra
How to write a linear equation in polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Converting a linear equation to polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Mumford-Tate Groups and Domains - Phillip Griffiths
Phillip Griffiths Professor Emeritus, School of Mathematics March 28, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Write the Complex Number 3 + i in Polar Form
In this video we are given a complex number 3 + i and we write it in polar form. To do this we first find the modulos of the complex number, and then we set the complex number equal to its polar form to solve for theta. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https:
From playlist Trigonometric (Polar) Form of Complex Numbers
08 - Multiplication, division, powers and roots
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Stefano Marseglia, Computing isomorphism classes of abelian varieties over finite fields
VaNTAGe Seminar, February 1, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Honda: https://doi.org/10.2969/jmsj/02010083 Tate: https://link.springer.com/article/10.1007/BF01404549 Deligne: https://eudml.org/doc/141987 Hofmann, Sircana: https://arxiv.org/ab
From playlist Curves and abelian varieties over finite fields
Express the Complex Number -3 + 3i in Polar Form
In this video we express the complex number -3 + 3i in polar form. To do this we first find the modulos and then we set the complex number equal to its polar form r(cos(theta) + isin(theta)). This allows us to solve for theta. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear
From playlist Trigonometric (Polar) Form of Complex Numbers
Sylvie PAYCHA - From Complementations on Lattices to Locality
A complementation proves useful to separate divergent terms from convergent terms. Hence the relevance of complementation in the context of renormalisation. The very notion of separation is furthermore related to that of locality. We extend the correspondence between Euclidean structures o
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Automorphic Cohomology II (Carayol's Work and an Application) - Phillip Griffiths
Automorphic Cohomology II (Carayol's Work and an Application) Phillip Griffiths Institute for Advanced Study February 17, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Canonical Forms in Geometry and Soliton Theory - Chuu-Lian Terng
Glimpses of Mathematics, Now and Then: A Celebration of Karen Uhlenbeck's 80th Birthday Topic: Canonical Forms in Geometry and Soliton Theory Speaker: Chuu-Lian Terng Affiliation: University of California, Irvine Date: September 17, 2022 In this talk, I will explain some applications of
From playlist Glimpses of Mathematics, Now and Then: A Celebration of Karen Uhlenbeck's 80th Birthday
Rectangular to polar equation conversion
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Weil-Petersson currents by Georg Schumacher
DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be
From playlist Analytic and Algebraic Geometry-2018