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Related lectures (29)
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Knot Theory: The Quadratic Linking Degree
Covers the quadratic linking degree in knot theory, exploring its definitions, properties, and significance in algebraic geometry.
Complex Numbers: Introduction and Operations
Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.
Conic Synthesis in the Plane
Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.
Maximum Entropy Principle: Stochastic Differential Equations
Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.
Equations and Inequalities on the Reals
Covers algebraic identities, linear equations, and rational inequations on the real numbers.
Complex Numbers: Argument and Polar Method
Introduces the argument of complex numbers and the polar method, demonstrating their application in finding roots.
Linearly Independent Solutions and Quadratic Equations
Explores linearly independent solutions in quadratic equations and the role of constants in trigonometric solutions.
Algebra: Quadratic Trinomial
Explores quadratic trinomials, absolute values, Vieta's formulas, and graphical representation of equations.
Polynomial Optimization: Theory and Applications
Explores polynomial optimization, emphasizing sum-of-squares polynomials and their applications, including monomial representation and theorem proofs.
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