Extremely high resolution of the beamline ID22 at ESRF allows to detect subtle changes in the reflections splitting at different temperature measurements (Fig. 6), which clearly prove a sequence of LT phase transformations in this sample.
They proved that a sequence of fuzzy numbers is statistically convergent, if and only if, it is a statistically Cauchy.
This technique was proven using a sequence of near real time neutron images obtained during the drying process.
To prove that a sequence of subtasks planned on pre-operative data can successfully accomplish the surgical operation despite model uncertainties, we specify the problem by using hybrid automata.
In this section, we introduce a new iterative scheme and prove that a sequence of our scheme converges strongly to a solution of a Hammerstein equation under this setting.
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.
We prove that, determines a sequence of positive fuzzy numbers.
These inequalities, respectively, prove that is a sequence of monotone type(A) and monotone type(B) with respect to.
Results proven include finding a sequence of paths that connect a given pair of nodes throughout the system, such that the global routing plus re-routing costs are minimized.
The existence of a weak solution to the Cauchy problem (4) will be established by proving compactness of a sequence of smooth functions { u ε } ε > 0 solving the following viscous problem: { ∂ u ε ∂ t + u ε ∂ u ε ∂ x − γ α 2 ∂ u ε ∂ x + ∂ P ε ∂ x = ε u x x, P ε = Λ − 2 [ 1 2 u ε 2 − γ α 2 u ε − α 2 2 ( ∂ u ε ∂ x ) 2 − f ( u ε ) ], u ε ( 0, x ) = u ε, 0. (11).
