definite sum

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• Sum rule in integration — In calculus the sum rule in integration states that the integral of a sum of two functions is equal to the sum of their integrals. It is of particular use for the integration of sums, and is one part of the linearity of integration.As with many… …   Wikipedia

• definite integral — Integration In te*gra tion ([i^]n t[ e]*gr[=a] sh[u^]n), n. [L. integratio a renewing, restoring: cf. F. int[ e]gration.] [1913 Webster] 1. The act or process of making whole or entire. [1913 Webster] 2. (Math.) The operation of finding the… …   The Collaborative International Dictionary of English

• Empty sum — Not to be confused with Zero sum. In mathematics, an empty sum, or nullary sum, is a summation involving no terms at all. The value of any empty sum of numbers is conventionally taken to be zero. For summations defined in terms of addition of… …   Wikipedia

• lump-sum alimony — An award of alimony in gross, that is, an award of one definite sum in the aggregate, whether or not it is to be paid in instalments or in one sum. 24 Am J2d Div & S § 614 …   Ballentine's law dictionary

• Positive definite kernel — In operator theory, a positive definite kernel is a generalization of a positive matrix. Definition Let :{ H n } {n in {mathbb Z be a sequence of (complex) Hilbert spaces and :mathcal{L}(H i, H j)be the bounded operators from Hi to Hj . A map A… …   Wikipedia

• Positive-definite matrix — In linear algebra, a positive definite matrix is a matrix that in many ways is analogous to a positive real number. The notion is closely related to a positive definite symmetric bilinear form (or a sesquilinear form in the complex case). The… …   Wikipedia

• Direct sum of modules — For the broader use of the term in mathematics, see Direct sum. In abstract algebra, the direct sum is a construction which combines several modules into a new, larger module. The result of the direct summation of modules is the smallest general… …   Wikipedia

• Zero-sum — In game theory and economic theory, zero sum describes a situation in which a participant s gain or loss is exactly balanced by the losses or gains of the other participant(s). If the total gains of the participants are added up, and the total… …   Wikipedia

• Zero–sum game — For other uses, see Zero sum (disambiguation). In game theory and economic theory, a zero sum game is a mathematical representation of a situation in which a participant s gain (or loss) of utility is exactly balanced by the losses (or gains) of… …   Wikipedia

• Clique-sum — A clique sum of two planar graphs and the Wagner graph, forming a K5 free graph. In graph theory, a branch of mathematics, a clique sum is a way of combining two graphs by gluing them together at a clique, analogous to the connected sum operation …   Wikipedia

• Kloosterman sum — In mathematics, a Kloosterman sum is a particular kind of exponential sum. Let a , b , m be natural numbers. Then :K(a,b;m)=sum {0leq xleq m 1, gcd(x,m)=1 } e^{2pi i (ax+bx^*)/m},Here x* is the inverse of x modulo m . They are named for the Dutch …   Wikipedia