Lectures related to Mathematical object

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Covers the concept of step functions and their composition through various mathematical expressions.

Explores the applications of Green's Theorem in 2D, emphasizing the importance of regular domains for successful integration.

Covers symmetry elements, point groups, and mathematical symmetry operations.

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

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

Explores the construction of the Fischer-Greiss monster group, emphasizing its key properties and the process involved.

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.

Covers the application of Cauchy equations and integral decomposition, addressing questions related to holomorphic functions and Jacobian matrices.

Covers spherical coordinates transformation, bijectivity, and applications in volume calculations.

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

Explores uncertainty quantification using Quasi Monte Carlo methods and discrepancy measures for integral approximation and volume estimation.

Explores self-avoiding walks in space and correlation functions.

Explores the Intermediate Values Theorem for continuous functions on closed intervals.

Explores non-linear updates with pseudo-observations and coordinate transformations.

Explores passivity, stability, and circle criterion in control systems, emphasizing system behavior and design considerations.

Explores projectors and tensor product of representations, covering their applications and properties.

Explores the construction and mathematical properties of simple, double, and harmonic geometric means using ruler and compass.

Explores reduction applications through symmetry and projection matrices, demonstrating power calculations in recurrent sequences.