Search results
Results from the WOW.Com Content Network
SymbolicC++ is described in a series of books on computer algebra. The first book [ 5 ] described the first version of SymbolicC++. In this version the main data type for symbolic computation was the Sum class.
An infinite series of any rational function of can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition, [8] as explained here. This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms.
Let be a DF-space and let be a convex balanced subset of . Then is a neighborhood of the origin if and only if for every convex, balanced, bounded subset , is a neighborhood of the origin in . [1] Consequently, a linear map from a DF-space into a locally convex space is continuous if its restriction to each bounded subset of the domain is continuous.
Arm's optimized math routines; GCE-Math is a version of C/C++ math functions written for C++ constexpr (compile-time calculation) CORE-MATH, correctly rounded for single and double precision. SIMD (vectorized) math libraries include SLEEF, Yeppp!, and Agner Fog's VCL, plus a few closed-source ones like SVML and DirectXMath. [9]
Examples of the latter include the Dirac delta function and distributions defined to act by integration of test functions against certain measures on . Nonetheless, it is still always possible to reduce any arbitrary distribution down to a simpler family of related distributions that do arise via such actions of integration.
In order theory, a branch of mathematics, an order embedding is a special kind of monotone function, which provides a way to include one partially ordered set into another. Like Galois connections, order embeddings constitute a notion which is strictly weaker than the concept of an order isomorphism.
An example of stable sort on playing cards. When the cards are sorted by rank with a stable sort, the two 5s must remain in the same order in the sorted output that they were originally in. When they are sorted with a non-stable sort, the 5s may end up in the opposite order in the sorted output.
a.c. – absolutely continuous. acrd – inverse chord function. ad – adjoint representation (or adjoint action) of a Lie group. adj – adjugate of a matrix. a.e. – almost everywhere. AFSOC - Assume for the sake of contradiction; Ai – Airy function. AL – Action limit. Alt – alternating group (Alt(n) is also written as A n.) A.M ...