Concept

Expression (mathematics)

Related lectures (32)

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Covers the dynamics of a block connected to a spring, deriving equations of motion and solving for key time points.

Covers the Implicit Functions Theorem, demonstrating the conditions under which a function can be expressed implicitly.

Explores properties of relations, monotonicity, semantics of local variables, and translation in programs.

Covers fundamental programming concepts such as algorithms, variables, and expressions in C++.

Explores Ledinegg instability in a natural circulation loop, focusing on thermal power, mass flow, pressure difference, and friction effects.

Explores the dynamics of a block pulled by a spring under various conditions.

Covers spatial solutions for plate vibrations and mathematical expressions for simple support on edges.

Explores limits, conjugates, and infinitely small equivalents in function behavior near specific points.

Explores self-avoiding walks in space and correlation functions.

Covers solutions to mathematical equations involving limits, square roots, and algebraic expressions.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Covers the topic of inequalities involving square roots and provides examples and solutions.

Covers properties and inequalities of the natural logarithm function, including solving related inequalities.

Covers the derivation of the M-step for mu_k and Sigma_k, focusing on key quantities and matrices.

Covers the derivation of the Lindblad equation and the evolution of quantum gases.

Explores algebraic functions, limits, and behavior as x approaches infinity.

Covers the analytical expression of orthogonal projections and reflections in 2D space.

Discusses the maximal internal containing interval and its properties and solutions.

Covers expressing sums and products using trigonometric functions step by step.