The Transport Theorem, also known as the Transport Equation or the Lagrangian Transport Theorem, is a fundamental concept in the fields of mathematical physics and fluid dynamics. It deals with the transport of quantities (such as mass, energy, or momentum) within a moving fluid or along a flow field. In its simplest form, the theorem describes how a quantity changes as it is transported by a flow. This can be expressed in both Lagrangian and Eulerian frameworks.
The Universal Chord Theorem is a concept from geometry, specifically related to circles. It states that for any triangle inscribed in a circle (also known as a circumcircle), the perpendicular bisectors of its sides will intersect at a single point, which is the circumcenter of the triangle (the center of the circumcircle).
Vincent's theorem is a result in the theory of elliptic functions and complex analysis. It provides conditions under which a complex function that satisfies certain properties can be expressed as a sum of simpler functions, particularly elliptic functions. It is typically applied in the context of studying special types of functions that exhibit periodic behavior. The theorem is named after the mathematician who contributed to the development of the theory of elliptic functions.