Sentence examples for a sum of copies from inspiring English sources

By (3.10), the sum is a sum of copies of a random variable, say, such that (3.22).

where is a sum of independent copies of.

where is a sum of independent copies of a Bernoulli random variable, say, such that and with as in (1.23), that is,.

A projective polymodule will be called finitely generated if it is a submodule of a finite sum of copies of U (a, b ).

A free polymodule is defined as a direct sum of copies of U (a, b ) and a projective polymodule as a direct summand of a free polymodule.

Finally, the expression level of each miRNA was calculated as a sum of the copy number of the reference sequence and the sequences mapping at the same 5'-end position as the reference sequence.

In order that the socle of Y / X is a direct sum of copies of S ( a ), either X = Y (and Y / X = 0 ), or X = 0 (and Y / X = Y ), or X has to be indecomposable.

Since C is the projective module P ( a ), the right minimal right C -determined maps f : X → Y are the inclusions maps of submodules X of Y such that the socle of Y / X is a direct sum of copies of S ( a ).

So let us assume that i ≥ 2. A map f : X → Y is right P i -determined if and only if its kernel is a direct sum of copies of P i - 2. Since Ext 1 ( P i + 1, P i - 2 ) = D Hom ( P i, P i + 1 ) is a two-dimensional vector space, we see that we deal with short exact sequences of the form Open image in new window.

According to (2), the faded CPICH signal can be viewed as a sum of the multiple shifted copies of the scrambling code.

For the HPC nodes, communication is a sum of the time for copying the data to and from computation nodes, while for Hadoop the sum of data ingesting and preprocessing times was counted as the communication expense.