Delves into hybridity in science-fiction, exploring space opera and science-fantasy themes like hard science and cyberpunk.
Explores symmetric matrices, diagonalization, and their real-world applications in data analysis.
Covers the design of polynomial regulators using the RST method.
Explores simple examples of partial differentiation, demonstrating how to calculate partial derivatives and gradients in various scenarios.
Covers the Choleski factorisation method for solving linear systems efficiently.
Focuses on proving the uniqueness of the zero vector in the kernel of a symmetric matrix.
Covers attitude and orientation in rotations, including small angles and orthonormal properties.
Explores the replica method in determining the expectation of log z as small n approaches zero, showcasing mathematical challenges and solutions.
Explains the Gaussian elimination algorithm with pivoting and LU factorization for linear systems.
Explains the concept of inertia benchmark, focusing on main axes and diagonal elements of the inertia tensor.