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A current such that M(T) < ∞ is representable by integration of a regular Borel measure by a version of the Riesz representation theorem. This is the starting point of homological integration . An intermediate norm is Whitney's flat norm , defined by F ( T ) := inf { M ( T − ∂ A ) + M ( A ) : A ∈ E m + 1 } . {\displaystyle \mathbf {F ...
Wolfram Mathematica is a software system with built-in libraries for several areas of technical computing that allows machine learning, statistics, symbolic computation, data manipulation, network analysis, time series analysis, NLP, optimization, plotting functions and various types of data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in ...
Mathematica: A World of Numbers... and Beyond is a kinetic and static exhibition of mathematical concepts designed by Charles and Ray Eames, originally debuted at the California Museum of Science and Industry in 1961. Duplicates have since been made, and they (as well as the original) have been moved to other institutions.
real variable free variable referent The term x in xRy reflexive infinite in the sense that the class is in one-to-one correspondence with a proper subset of itself (*124) relation A propositional function of some variables (usually two). This is similar to the current meaning of "relation". relative product
In the tensor calculus formulation, the electromagnetic tensor F αβ is an antisymmetric covariant order 2 tensor; the four-potential, A α, is a covariant vector; the current, J α, is a vector; the square brackets, [ ], denote antisymmetrization of indices; ∂ α is the partial derivative with respect to the coordinate, x α.
The current 3-form can be integrated over a 3-dimensional space-time region. The physical interpretation of this integral is the charge in that region if it is spacelike, or the amount of charge that flows through a surface in a certain amount of time if that region is a spacelike surface cross a timelike interval.
Display represented a low double-digit share of our business and audio represented around 5%. Geographically, North America represented about 88% of spend, and international represented about 12% ...
The internal state variables are the smallest possible subset of system variables that can represent the entire state of the system at any given time. [13] The minimum number of state variables required to represent a given system, , is usually equal to the order of the system's defining differential equation, but not necessarily.