Sentence examples for sum of traces from inspiring English sources

These results follow simply from Hopf's trace formula which states that the alternating sum of traces in homology is equal to the alternating sum of traces on the chains.

If the cohomology is finite dimensional, then the alternating sum of traces of (He) i is called the Lefschetz number L (e) of e.

They are intimately related with the classical decomposition of L p ( T ) Open image in new window into the direct sum of traces on T Open image in new window of Hardy class H p functions in D Open image in new window and C ∖ D ¯ Open image in new window, respectively.

Note that the sum of traces just realizes a dot product between vectorized and stacked W and X matrices, respectively.

The sum of trace elements and REEs were observed at the highest concentrations in the fish guts.

The sum of trace elements was observed highest in the fish guts followed by the gills and muscle.

The matrix L k is a block matrix and the trace is the sum of the traces of the blocks.

Namely, perturbations of the differentials of Ω · ( X ) Open image in new window and Ω · ( Y ) Open image in new window by trace class terms do not affect the alternating sum of the traces.

The length of the inner trace in the right side is given by a sum of the traces in red, blue, and two times the yellow (right hemisphere).

We calculated the RMS envelope from the two horizontal components as a vector sum of filtered traces with center frequencies of 4, 8, and 16 Hz.

A workload trace of an audit trail (A) is denoted by (W_A) and (W_A[i] = biguplus nolimits _{Tin mathbf {T}} W_T[i], forall i=1,ldots,|U|), i.e. it is a sum of workload traces of all syntax trees included in a syntax tree table.