Sentence examples for resulting terms from inspiring English sources

In (41), we can split the summation with indexes (q1,q2) in the two sums and thus in two resulting terms: P x ( f ) ¯ = P 1 ( f ) + P 2 ( f ).

The product of the resulting terms will equal a truncated version of the Blaschke-Potapov product discussed in Section 5.1, and will approximate the transfer function in the region of interest.

It should be intuitively clear that if a term has a β-normal form, then we can find one by exhaustively contracting all all β-redexes of the term, then exhaustively contracting all β-redexes of all resulting terms, and so forth.

The algorithms differ from each other in various aspects: (i) the set of combinators they presuppose, (ii) the length of the resulting terms, (iii) whether they compose into (syntactic) identity with the algorithm that translates a combinatory term into a λ-term, and (iv) whether they commute with either of the reductions or equalities.

Once we have defined B as S KS K, we may use B in further definitions as an abbreviation, and we do that primarily to reduce the size of the resulting terms as well as to preserve the transparency of the definitions.

The rest of the proof follows from adding the term −E2(Z1) to the derived expression for (Eleft (Z_{1}^{2}right)), separating the term for k=0 from the rest of the sum, and simple rearrangement of the resulting terms.

But he is not required to do so, and if he does, the resulting term will be brief.

If we assume a uniform utilization of all precoding vector choices, the resulting term becomes.

That is, all the inputs of the rule are retained in the output as subterms of the resulting term.

The resulting term either contains the variable z T, where T ⊆ K i + 1, or remains unchanged.

Researchers most often delve deeper into specific, pre-established fields, resulting in terms like pseudopseudohypoparathyroidism.