Counting on Fingers

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Related lectures (28)

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Sets and Operations: Introduction to Mathematics

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Number Systems: Fixed and Floating-Point Representations

Discusses fixed-point and floating-point representations in digital systems, covering key concepts like precision, accuracy, and the IEEE 754 standard.

Optimization Methods: Convergence and Trade-offs

Covers optimization methods, convergence guarantees, trade-offs, and variance reduction techniques in numerical optimization.

Connected groups of semisimple elements

Explores weight space decomposition and proves that a connected linear algebraic group with all semi-simple elements must be a torus.

Irreducible Representations of Rotations Group

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

Group Algebra: Maschke's Theorem

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Lemma of Schur: Group Repetition Theory

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.

Derivative of an Integral with Parameter

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.