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  2. Trace (linear algebra) - Wikipedia

    en.wikipedia.org/wiki/Trace_(linear_algebra)

    The trace of a Hermitian matrix is real, because the elements on the diagonal are real. The trace of a permutation matrix is the number of fixed points of the corresponding permutation, because the diagonal term a ii is 1 if the i th point is fixed and 0 otherwise. The trace of a projection matrix is the dimension of the target space.

  3. Cool Math Games - Wikipedia

    en.wikipedia.org/wiki/Cool_Math_Games

    Written in. PHP, HTML and Adobe Flash. Cool Math Games (branded as Coolmath Games) [ a ] is an online web portal that hosts HTML and Flash web browser games targeted at children and young adults. Cool Math Games is operated by Coolmath LLC and first went online in 1997 with the slogan: "Where logic & thinking meets fun & games.".

  4. Field trace - Wikipedia

    en.wikipedia.org/wiki/Field_trace

    Let K be a field and L a finite extension (and hence an algebraic extension) of K. L can be viewed as a vector space over K. Multiplication by α, an element of L, is a K - linear transformation of this vector space into itself. The trace, TrL/K (α), is defined as the trace (in the linear algebra sense) of this linear transformation.

  5. Trace class - Wikipedia

    en.wikipedia.org/wiki/Trace_class

    Trace class. In mathematics, specifically functional analysis, a trace-class operator is a linear operator for which a trace may be defined, such that the trace is a finite number independent of the choice of basis used to compute the trace. This trace of trace-class operators generalizes the trace of matrices studied in linear algebra.

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  7. Trace operator - Wikipedia

    en.wikipedia.org/wiki/Trace_operator

    Trace operator. A function defined on a rectangle (top figure, in red), and its trace (bottom figure, in red). In mathematics, the trace operator extends the notion of the restriction of a function to the boundary of its domain to "generalized" functions in a Sobolev space. This is particularly important for the study of partial differential ...

  8. Trace diagram - Wikipedia

    en.wikipedia.org/wiki/Trace_diagram

    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.

  9. Kronecker product - Wikipedia

    en.wikipedia.org/wiki/Kronecker_product

    Kronecker product. In mathematics, the Kronecker product, sometimes denoted by ⊗, is an operation on two matrices of arbitrary size resulting in a block matrix. It is a specialization of the tensor product (which is denoted by the same symbol) from vectors to matrices and gives the matrix of the tensor product linear map with respect to a ...

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