Sentence examples for hereinafter given from inspiring English sources
A set of 100 randomly generated accuracy test samples (hereinafter given as synthetic samples in this publication) was generated for blind testing of the system for accuracy.
To investigate refrigerating effects (storage at 4 to 8°C in a standard refrigerator from Bosch, Gerlingen-Schillerhöhe, Germany, type KGV33600, hereinafter given as 4°C), the samples were kept refrigerated after the first measurement, except for 30 min during each NMR analysis (25°C).
To investigate freezing effects (storage at −20 to −25°C in a standard freezer from AEG, Nürnberg, Germany, type A 80270-GT, hereinafter given as −20°C), new aliquots of the samples were thawed after storage periods of 1, 3, 6, 12, and 24 months to avoid effects caused by additional freeze-thaw cycles.
Hereinafter, we give details of the kurtosis-based musical-noise metric.
The direct ADMM in [6] is given hereinafter which first rewrites the problem (1.2) as begin{aligned} &min_{x,z,u} frac{1}{2} |y - Phi {z} |_{2}^{2} + alpha phi u) &quad text{s.t.
Values given hereinafter are least square means presented with standard errors.
This shows that the LBT does not check the hypothesis that a forecast model has merit with the given data (marked hereinafter by Hyp1).
A protein fold or (super)family can be represented as a peak in a protein folding landscape where the plane corresponds to the sequence space and the altitude is the probability that a given sequence will fold correctly, hereinafter "robustness" (fig. 4).
The complete description of all possible asymptotics of the ergodic distributions of model (1.1) under condition (1.5) is given in Mathematical Appendix, Theorem 1 (hereinafter all references of the form (A.m.n) refer to the corresponding formula in the Mathematical Appendix [see Additional file 1]).
There is, e.g., an infinite number of (macroscopically) exact copies of the earth with everything that exists on it, although the probability that a given observable region of the universe (hereinafter O-region) carries one of such copies is vanishingly tiny.
Therefore, the occurrence rate hereinafter is determined as a ratio between the observation duration of a given value of the MSTID parameter and the general observation interval at a certain local time.
