Sentence examples for 1 determines from inspiring English sources

If fn is a function defined on the positive integers, then a relation that expresses fn + k as a linear combination of function values of integer index less than n + k, in which a fixed constant in the linear combination is written ai, is called a recurrence relation The relation together with the initial values f0, f1,…, fk − 1 determines fn for all n.

The number of partitions of n into k parts will be denoted by Pk(n), and a recurrence formula for it can be obtained from the definition This recurrence formula, together with the initial conditions Pk(n) = 0 if n < k, and Pk(k) = 1 determines Pk(n).

Inequality (1) determines the makespan.

The equation (1) determines the measure ({mathbb {P}}_{Pi }) uniquely.

The amplitude of subwave 1 determines the basic range of the water level oscillation.

The weight w (0 ≤ w ≤ 1) determines the relative significance of power extraction and starting.

The weighting factor γ(0≤γ≤1) determines the amount of contribution of each modality to the final decision.

Let {λn−,λn+} be its zones of instability, i.e. {λn−,λn+} are pairs of periodic and antiperiodic eigenvalues, and b∈ 0,1) determines Gevrey classes.

The choice of (varXi _{0} ) and (varXi _{1}) determines a one-parameter family of solutions that represent a given two-dimensional invariant manifold.

Here, (deltain[0,1]) determines the range of probabilities within which (beta_{t}) is chosen at a given step of the evolution.

The conventional resolution cell at this position m (and thus given on the interval [τ m, τ m  + 1]) determines the size of the information resolution cell δ = d ( τ m, τ m + 1 ).