Sentence examples for mod 1 from inspiring English sources

This criterion involves the eventual uniform distribution, mod 1, of the eigenvalues of the approximating unitaries.

Gaps in Sqrt(n) mod 1 and ergodic theory (with C.T.McMullen), Duke Math.

MOD 3 was also more sensitive to radiation than MOD 1 and 2 as a result of the inclusion of bromine-based halocarbons in the formulation.

13 Uber die asymptotische Verteilung reeller Zahlen mod 1 On asymptotic distributions of arithmetical functions.

T n = p 1 − p r mod 1 / p × E current E initial, n ∈ G, (2).

Proposition 4.6 Let α > 0 be non-integer and assume that b ≡ a ( mod 1 ).

Basin Mod 1-D software consists of default kinetic parameters for the standard Type I, Type II and Type III kerogen.

The dependent variable in the model was the MOD (1=VD, 2=CS on maternal request, 3=CS with doctor-defined indications and 4=CS with guideline-defined indications).

ser-6, mod-1 and mod-1 ser-6 mod-1 ser-6press OA-mutantsd FLP-7mCherry suppressn to approximately the same extent (Fig. 4a,c,d).

(a c) Representative images of vehicle-, 5-HT and Octopamine (OA -treated wild-type, mOA -treated, and mod-1;ser-6 animals bearing integrated FLP-7mCherry and CLM::GFP transgenes, respectively.

Loss of either mod-1 or ser-6 did not appreciably decrease FLP-7mCherry secretion under basal conditions in vehicle-treated animals.