Sentence examples for a sequence of decreasing from inspiring English sources

The rate of the surface initiator formation follows a sequence of decreasing order in the following solvents: benzene>chloroform>hexane>methanol>cyclohexane>dimethyl sulfoxide due to the relative abstractability of hydrogen in the solvent and the wettability of the substrate by the solvent.

Although this method is easy to implement and errors can be estimated relatively simply, the MCMCMC approach has the advantage that the different configurations are not subjected to a sequence of decreasing temperatures, but perform a random walk in temperature space, i.e. visit all temperatures several times.

(3) X = ∫ L  d θ (4) Z = ∫ 0 1   L (X )  d X L (X ≡ λ Given a sequence of decreasing values 0 < X m < … X 2 < X 1 < 1 where the likelihood L i = L (X i ) can be evaluated, the evidence can be approximated numerically as a weighted sum.

(5) X = ∫ L d θ (6) Z = ∫ 0 1 L (X ) d X L (X ≡ λ Given a sequence of decreasing values 0< X m <… X2< X1<1 where the likelihood L i = L(X i ) can be evaluated, the evidence can be approximated numerically as a weighted sum (7).

The noise-free groundwater-level anomalies consistently comprised by a sequence of decrease, rise and flat phases, which agree very well with changes in strain rates computed from the GPS stations.

The pattern also specifies how treatment combinations should be sequenced for experimentation according to a parameter sequence of decreasing magnitude possibly specified by the experimenter based on prior knowledge.

Reapplying the argument over and over, Fermat produced an endless sequence of decreasing whole numbers.

Starting with any known convergent series, say Σ an (i.e., a1 + a2 + a3 + ⋯), Abel proved that, for a sequence of monotonically decreasing positive numbers bn (i.e., b1 ≥ b2 ≥ b3 ≥ ⋯ > 0), the infinite series Σ anbn (a1b1 + a2b2 + a3b3 + ⋯) converges to some finite value.

This induces a sequence of non decreasing knots K ˇ h = (t i ) i = 0 N on [ a, b ].

This induces a sequence of non decreasing knots K ˇ h = (t i ) i = 1 N on (a, b ]. Let W h = (w i ) i = 1 N be a sequence of weights on these knots.

Given an initial ellipsoid that contains the solution set, the approach proposed here iteratively generates a sequence of ellipsoids with decreasing volumes, all containing the solution set.