Sentence examples for i a set from inspiring English sources
The probability for built-up development is assessed based on (i) a set of built-up development causative factors and (ii) the land-use of neighboring cells.
Amplitude and energy ratios of various reflected and transmitted waves are presented when (i) a set of coupled longitudinal wave is made incident and (ii) a set of coupled transverse wave is made incident.
The proposed framework consists of two key components: (i) a set of microbenchmarks to profile the MapReduce processing pipeline on a given platform, and (ii) a regression-based model that establishes a performance relationship between the source and target platforms.
Among them were "Makrokosmos," Vol. I, a set of 12 fantasy pieces for amplified piano, composed in 1972 and dedicated to Mr. Burge, who gave the work its New York premiere the next year.
Different combinations between the dimensionality property and the number of function evaluation setting were tested on: i) a set of benchmark functions from the CEC 2013 special session on real parameter optimization; and ii) 2 chemical engineering problems (optimal operation of an alkylation unit and heat exchanger network design).
c i : A set of country-specific dummies.
Definition 2.3 (i) A set-valued map F : X → Y is called upper semicontinuous at x ∈ X if and only if for any neighborhood U of F ( x ), there exists η > 0 such that F ( x ′ ) ⊂ U for all x ′ ∈ B X ( x, η ).
Definition 2.2 (i) A set-valued mapping K : Ω → 2 E taking value in the closed subsets of E is said to be measurable if for each x ∈ E the mapping ω ↦ d ( x, K is measurable, where d ( A, B ) = sup x ∈ A inf y ∈ B d ( x, y ).
Furthermore, we consider, for each (iin I), a set-valued map (A_{i}:Krightarrow2^{K_{i}}) with nonempty values, a bifunction (f_{i}:K^{i}times K_{i}rightarrow Y_{i}), with (Y_{i}) another normed space, and (C_{i}:Krightarrow2^{K_{i}}) is a set-valued map such that (C_{i}(x)) is a closed, convex, and pointed cone in (Y_{i}) with nonempty interior for each (xin K).
Therefore, denoted {γ k } and {φ i } a set of non-negative dual variables associated to the k th per-BS power constraint and the i th per-user transmission rate, respectively, the optimal solution to (27) for fixed {γ k } and {φ i } is given by T i * = V i H B γ V i - 1 / 2 W i P i W i H V i H B γ V i - 1 / 2 r 1 i γ k, φ i = ∑ j = 1 m i log 2 1 + λ ij 2 γ k p ij γ k, φ i i = 1, …, R (34).
where i = 1, 2, 3……n; β o = intercept β i = regression coefficients to be estimated, U i = a disturbance term, and X i = a set of observable characteristics.
