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2. Trace table - Wikipedia

   en.wikipedia.org/wiki/Trace_table

   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 ...

3. Lefschetz fixed-point theorem - Wikipedia

   en.wikipedia.org/wiki/Lefschetz_fixed-point_theorem

   For a formal statement of the theorem, let : be a continuous map from a compact triangulable space to itself. Define the Lefschetz number [2] of by := ((,)), the alternating (finite) sum of the matrix traces of the linear maps induced by on (,), the singular homology groups of with rational coefficients.

4. 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]

5. 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.

6. Algebraic number field - Wikipedia

   en.wikipedia.org/wiki/Algebraic_number_field

   Then an integral basis is [1, x, 1/2(x 2 + 1)], and the corresponding integral trace form is []. The "3" in the upper left hand corner of this matrix is the trace of the matrix of the map defined by the first basis element (1) in the regular representation of K {\displaystyle K} on K {\displaystyle K} .

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