Infinitesimal rotation matrix

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Mechanics of Kirchhoff Rods I

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Gyroscopic Effects and Relative Motions

Explores gyroscopic effects, relative motions, and rotation matrices in dynamic systems.

Kinematics Basics: Modeling & Transformations

Covers the basics of kinematics, including joint coordinates, operational variables, wrist configurations, and geometric models.

Tensor Transformations

Introduces tensor transformations, rotation matrices, and differential operators in mechanics.

Quantum Physics I

Covers rotation matrices, orthogonal matrices, and quantum physics computations related to rotations and angular momentum.

Transformation: Constraints and Deformations

Explores the transformation of constraints and deformations in materials, focusing on stress analysis and tensor diagonalization.

Angular Momentum: Generators and Operators

Covers angular momentum generators, operators, and finite rotations in quantum mechanics.

Irreducible Representations of Rotations Group

Explores irreducible representations of the rotations group and their mathematical properties.

Trigonometric Formulas: Addition and Subtraction

Explores trigonometric addition and subtraction formulas, demonstrating their application in calculating trigonometric values efficiently.

Mechanics of Kirchhoff Rods I

Explores the mechanics of slender structures, including Kirchhoff's equilibrium equations of rods and the theory of finite strain and finite rotation.