Surfaces: The Torus

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Properties of X/G

Explores the properties of the quotient space X/G when X is compact and sometimes separated.

Belief Propagation: Key Methods and Analysis

Covers Belief Propagation, a key method for both analysis and algorithm.

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Analytic Continuation of Zeta Function

Explores the analytic continuation of the zeta function and its relation to holomorphic functions and natural numbers.

Separation Criterion in Recollement

Focuses on a criterion for separability in recollement, demonstrating iron properties and applications in various cases.

Relations in Computer Science

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Sets and Functions

Introduces binary relations, functions, and various types of relations in sets.

Material and Energy Balances

Explores material and energy balances in chemical engineering for process optimization and design.

Advanced Physics I

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Group Actions: Quotients and Homomorphisms

Discusses group actions, quotients, and homomorphisms, emphasizing practical implications for various groups and the construction of complex projective spaces.