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  2. Trace field of a representation - Wikipedia

    en.wikipedia.org/wiki/Trace_field_of_a...

    Fuchsian groups are discrete subgroups of ().The trace of an element in () is well-defined up to sign (by taking the trace of an arbitrary preimage in ()) and the trace field of is the field generated over by the traces of all elements of (see for example in Maclachlan & Reid (2003)).

  3. 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.

  4. Trace class - Wikipedia

    en.wikipedia.org/wiki/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.

  5. Field trace - Wikipedia

    en.wikipedia.org/wiki/Field_trace

    The trace form is used in algebraic number theory in the theory of the different ideal. The trace form for a finite degree field extension L/K has non-negative signature for any field ordering of K. [8] The converse, that every Witt equivalence class with non-negative signature contains a trace form, is true for algebraic number fields K. [8]

  6. Worksheet - Wikipedia

    en.wikipedia.org/wiki/Worksheet

    The form comes with two worksheets, one to calculate exemptions, and another to calculate the effects of other income (second job, spouse's job). The bottom number in each worksheet is used to fill out two if the lines in the main W4 form. The main form is filed with the employer, and the worksheets are discarded or held by the employee.

  7. These 55 Printable Pumpkin Stencils Make Carving Easier ... - AOL

    www.aol.com/55-printable-pumpkin-stencils...

    This Halloween 2024, use these printable pumpkin stencils and free, easy carving patterns for the scariest, silliest, most unique, and cutest jack-o’-lanterns.

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