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Lecture
Nonlinear Equations: Bisection Method
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Bisection Method: Proposition and Demonstration
Covers the bisection method proposition and its demonstration for finding roots.
Electrical Circuit: Fixed Point Methods
Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.
Bisection Method
Covers the bisection method for finding function roots within intervals and its geometric interpretation.
Bisection Method: Iterative Search for Zeros
Covers the bisection method for finding zeros of continuous functions through iterative narrowing of intervals.
Diodes and Applications
Explores the operation of diodes, including Zener diodes and LEDs, and their applications in rectifiers and voltage stabilization circuits.
Bisection Method: Zero Finding
Covers the bisection method for finding zeros of continuous functions.
Non-linear Equations: Bisection Method
Explores solving non-linear equations using the bisection method iteratively.
Continuous Functions and Derivatives
Covers the definitions of continuous functions and derivatives, emphasizing the concept of functions being continuous at a point and the notion of derivatives.
Root Finding Methods: Bisection and Secant Techniques
Covers root-finding methods, focusing on the bisection and secant techniques, their implementations, and comparisons of their convergence rates.
Attack on RSA using LLL
Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.