Search results
Results from the WOW.Com Content Network
A trace table is a technique used to test algorithms in order to make sure that no logical errors occur while the calculations are being processed. The table usually takes the form of a multi-column, multi-row table; With each column showing a variable, and each row showing each number input into the algorithm and the subsequent values of the ...
The Trade Control and Expert System (TRACES), is a web-based veterinarian certification tool used by the European Union for controlling the import and export of live animals and animal products within and without its borders. Its network falls under the responsibility of the European Commission. TRACES constitutes a key element of how the ...
In mathematics, the Dixmier trace, introduced by Jacques Dixmier (1966), is a non-normal [clarification needed] trace on a space of linear operators on a Hilbert space larger than the space of trace class operators. Dixmier traces are examples of singular traces. Some applications of Dixmier traces to noncommutative geometry are described in ...
M Ω is dense in H. M ' Ω is dense in H, where M ' denotes the commutant of M. ( ab Ω, Ω) = ( ba Ω, Ω) for all a, b in M. The vector Ω is called a cyclic-separating trace vector. It is called a trace vector because the last condition means that the matrix coefficient corresponding to Ω defines a tracial state on M.
Let denote the free monoid on a set of generators , that is, the set of all strings written in the alphabet .The asterisk is a standard notation for the Kleene star.An independency relation on the alphabet then induces a symmetric binary relation on the set of strings : two strings , are related, , if and only if there exist ,, and a pair (,) such that = and =.
A trace diagram representing the adjugate of a matrix. In mathematics, trace diagrams are a graphical means of performing computations in linear and multilinear algebra. They can be represented as (slightly modified) graphs in which some edges are labeled by matrices. The simplest trace diagrams represent the trace and determinant of a matrix.
The trace is defined in the context of a symmetric monoidal category C, i.e., a category equipped with a suitable notion of a product . (The notation reflects that the product is, in many cases, a kind of a tensor product .) An object X in such a category C is called dualizable if there is another object playing the role of a dual object of X.
The trace operator can be defined for functions in the Sobolev spaces Ω with p ∞ , see the section below for possible extensions of the trace to other spaces. Let Ω for n be a bounded domain with Lipschitz boundary. Then 1 there exists a bounded linear trace operator. T : (Ω) → (∂ Ω) such that T extends the classical trace, i.e.