Sentence examples for notation with respect to from inspiring English sources
The isotope values are reported in conventional delta notation with respect to VPDB (Vienna Pee Dee Belemnite).
5 In Demers et al's 6 pooled reanalysis there was a notation with respect to the wood type and histological subtype of the disease: the excess risk of nasal squamous cell carcinoma indicated for softwood dust was consistent across the cohorts but it was less than that for hardwood dust.
In Lagrange's notation, the derivative with respect to of a function is denoted (read as "f prime of x") or (read as "f prime x of x"), in case of ambiguity of the variable implied by the derivation.
We use the prime notation for differentiation with respect to δ throughout the paper.
We therefore do not analyze the unweighted version in detail but keep the notation for consistency with respect to the following variant.
The dot and comma notations denote (partial) differentiation with respect to time and space, respectively.
The rhythmic properties of plainchant have largely remained a matter of conjecture, for no systematic discussion of plainchant rhythm survives, and the notation used was noncommittal with respect to rhythm.
Because we need the notation of partial derivatives with respect to variables (x_{i}), we denote the time scale partial derivatives of (f(x_{1},x_{2},x_{3})) with respect to (x_{i}) by (f^{diamond_{alpha}^{i}} (x_{1},x_{2},x_{3})), (i=1,2,3).
If r 1 is a lower retraction and there is an upper retraction r 2 L→M such that its pseudo-inverse is also s, then M is called a full (r 1,r 2,s -sublattice of L. Notation: (M unlhd L) with respect to (r 1,r 2,s -sublattice
