Quartic equation

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Related lectures (9)

Newton's Method: Convergence and Conditions

Explores Newton's method convergence conditions and fixed-point interpretation.

Fixed-Point Methods and Newton-Raphson

Covers fixed-point methods and Newton-Raphson, emphasizing their convergence and error control.

Quadrangular Finite Elements

Covers the basic functions of quadratic and biquadratic rectangular elements and the serendipal family of regular rectangular finite elements.

Complex Polynomials and Factorization

Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

Solving Z² = W with Cartesian Method

Explores solving Z² = W in the complex plane using the Cartesian method.

Finite Element Method: 2D Analysis

Explores the finite element method for 2D analysis, covering assembly, matrices, sources, and convergence criteria of quadrangular elements.

Solving the Quintic: Dominant Balance Analysis

Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.

Localization and Ideals

Covers the concept of localization and ideals in rings, focusing on extended and contracted ideals, integral extensions, and monic equations.

Turbulence Modeling: RANS Equations

Covers the basics of turbulence modeling and the RANS equations for simulating turbulent flows.

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