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#Quadratic Forms

Showing: 27 courses

Symmetric Matrices

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Explore symmetric matrices, quadratic forms, and the true second derivative test in linear algebra and calculus.
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3 Lesons
30 minutes
On-Demand
Free-Video

Number Theory

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Comprehensive exploration of number theory, covering foundational concepts to advanced topics like quadratic reciprocity, integer partitions, and Ramanujan's congruences.
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34 Lesons
16 hours
On-Demand
Free-Video
statisticsmatt

Quadratic Forms

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Explore the distribution, properties, and independence of quadratic forms in multivariate normal distributions, including Cochran's Theorem and related proofs.
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8 Lesons
1 hour 30 minutes
On-Demand
Free-Video
statisticsmatt

General Linear Models - Background Material

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Comprehensive exploration of statistical concepts and matrix algebra, covering distributions, quadratic forms, projection matrices, and advanced matrix operations for linear modeling.
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25 Lesons
4 hours 30 minutes
On-Demand
Free-Video
GreeneMath.com

Factoring by Substitution Practice Test Full Solutions

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Comprehensive video guide demonstrating step-by-step solutions for factoring by substitution problems, covering various patterns and techniques to enhance algebraic problem-solving skills.
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10 Lesons
31 minutes
On-Demand
Free-Video
Insights into Mathematics

Paraboloids and Associated Quadratic Forms - Differential Geometry

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Explore paraboloids and quadratic forms in differential geometry, covering diagonalization, eigenvalues, and Dupin's indicatrix. Learn key concepts for understanding surface curvature.
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8 Lesons
47 minutes
On-Demand
Free-Video
Insights into Mathematics

Metrical Structure and Curvature of a Parabola - Differential Geometry

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Explore metrical structures and curvature in differential geometry, focusing on parabolas. Learn about symmetric bilinear forms, relativistic geometries, and their applications in physics.
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7 Lesons
44 minutes
On-Demand
Free-Video
Insights into Mathematics

Seminar - Some Fundamental Formulas from Metrical Algebraic Geometry

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Explore fundamental formulas in metrical algebraic geometry, connecting classical theorems to modern discoveries. Gain insights into affine and projective variants applicable across various fields.
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7 Lesons
50 minutes
On-Demand
Free-Video
Ryan O'Donnell

Spectral Graph Theory - Minimizing/Maximizing the Quadratic Form

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Explore spectral graph theory, focusing on minimizing and maximizing quadratic forms, with connections to graph components and bipartiteness in this graduate-level lecture.
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7 Lesons
33 minutes
On-Demand
Free-Video
Ryan O'Donnell

Spectral Graph Theory - The Quadratic Form

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Explores spectral graph theory, focusing on the quadratic form associated with undirected graphs. Covers basic setup and provides examples for graduate-level computer science research.
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6 Lesons
22 minutes
On-Demand
Free-Video
Simons Institute

The Space of Lorentzian Polynomials

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Explore Lorentzian polynomials, projective varieties, and discrete convexity with June Huh. Delve into quadratic forms, M-convexity, and algebraic intuition in this advanced mathematical lecture.
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13 Lesons
59 minutes
On-Demand
Free-Video
Michael Penn

Quadratic Forms - Number Theory

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Explore quadratic forms in number theory, delving into their properties, applications, and significance in mathematical analysis.
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1 Lesons
39 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Maria Esteban - Spectral Results and Open Problems for Dirac-Coulomb Operators With Charge Distributions

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Explore spectral results and open problems for Dirac-Coulomb operators with general charge distributions, focusing on self-adjoint extensions, eigenvalue characterizations, and electron stability conditions.
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21 Lesons
49 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy

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Explores techniques for computing densest lattice packings, including quadratic forms, Hermite constants, and reduction theory. Covers perfect forms, eutactic lattices, and Voronoi's algorithm for listing perfect forms.
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12 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Computer-Assisted Proofs in the Arithmetic of Quadratic Forms - IPAM at UCLA

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Explore computer-assisted proofs in quadratic forms arithmetic, covering equivalence, representation, local-global principles, and modular forms. Gain insights into complex computations across mathematics.
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14 Lesons
47 minutes
On-Demand
Free-Video
International Mathematical Union

Variety of Fractional Laplacians

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Explore various types of fractional Laplacians, their properties, and applications in mathematical analysis through proofs, comparisons, and counterexamples.
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9 Lesons
42 minutes
On-Demand
Free-Video
Fields Institute

On Conjugacy of Cartan Subalgebras in Extended Affine Lie Algebras and Classification of Torsors

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Explore advanced concepts in extended affine Lie algebras and torsors over Laurent polynomial rings in this mathematical lecture by Vladimir Chernousov at the Fields Institute.
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15 Lesons
56 minutes
On-Demand
Free-Video
Insights into Mathematics

Historical Development of Group Theory - From Number Theory to Geometry

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Explore the historical development of group theory, from its roots in number theory and algebra to its impact on geometry, covering key concepts and influential mathematicians.
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10 Lesons
59 minutes
On-Demand
Free-Video
Insights into Mathematics

Duality, Polarity and Projective Linear Algebra - Differential Geometry Lecture 11

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Explores projective geometry, quadratic forms, and pole-polar duality in relation to the unit circle. Connects these concepts to Lorentz/Einstein/Minkowski geometry and Apollonius' work.
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1 Lesons
48 minutes
On-Demand
Free-Video
Wrath of Math

Quadratic Forms in Matrix Notation - Linear Algebra

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Explore quadratic forms in matrix notation for R^2 and R^3, learning how to write and interpret these essential linear algebra concepts with clear examples and explanations.
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1 Lesons
14 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Number Theory Through Geometry, Dynamics and Illustration - Lecture 1

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Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Donaldson-Thomas Invariants: Classical, Motivic, Quadratic and Real

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Explore advanced Donaldson-Thomas invariants in algebraic geometry, including classical, motivic, quadratic, and real variants. Delve into virtual fundamental classes and refined invariants.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
BIMSA

From Quadratic Forms to Motivic Cohomologies

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Explore the journey from quadratic forms to motivic cohomologies, delving into advanced mathematical concepts and their applications in algebraic geometry.
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1 Lesons
43 minutes
On-Demand
Free-Video
IMSA

Quadratic Forms in Surface Automorphisms and Singularity Theory

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Explore pseudo-periodic surface automorphisms, quadratic forms, and their applications in singularity theory. Gain insights into Milnor fibers and monodromy automorphisms.
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11 Lesons
50 minutes
On-Demand
Free-Video
Institute for Advanced Study

New Effective Results Regarding the Oppenheim Conjecture and Polynomial Effective Equidistribution

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Delve into advanced mathematical concepts surrounding the Oppenheim Conjecture, exploring quantitative results, unipotent flows, and their applications in number theory.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Quadratic Enumerative Invariants and Local Contributions in Algebraic Geometry

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Delve into quadratic enumerative geometry, exploring enriched counting methods for geometric objects using quadratic forms, with applications to lines on cubic surfaces and hypersurfaces.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Counting Lattice Points in Ellipsoids and the Central Limit Theorem for Quadratic Forms

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Delve into advanced mathematical concepts exploring lattice point counting in ellipsoids, error bounds, and their connection to probability theory's central limit theorem.
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1 Lesons
48 minutes
On-Demand
Free-Video