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Definition 2.4 Let int C ≠ ∅. (i) A vector x 0 ∈ E is called a weakly efficient solution of (USTVEP) if F ( x 0, E ) ∩ ( − int C ) = ∅.

where RWI i represents the growth index for tree i, α the intercept, Clim i the fixed-effects matrix (i.e. climate variables), β and b i vectors of fixed and random effects, and ε i a vector with random errors.

We describe a sequence of length n as ( boldsymbol{X}={left{left {boldsymbol{I}}_i,{y}_i,{boldsymbol{p}}_iright)right}}_{i=1}^n ) with I i an image frame, y i the interaction label of frame i, and p i a vector containing the 2D joint positions of the two people performing the interaction.

with (i), a vector of size describing signals recorded on array at frequency bin stands transposition operator),   (ii), a matrix of size whose columns are steering vectors describing the propagation of each wave with and,   (iii), a vector of size which contains the random amplitudes of the waves,   (iv) is a vector of size which corresponds to the additive noise.

Repeated measures (clustering) on hospitals over time will be incorporated into the model through X i, a vector of hospital effects.

Consider y → j M i, a vector of predictions simulated with model M i and parameter set θ → j, where each element of the vector corresponds to a different model prediction.

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Let f i : K i × K i ˆ × K i → Y i be a vector function and C i ⊂ Y i be a nonempty, closed, and convex cone.

Human infection with T. cruz i, a vector-borne protozoan parasite, is the cause of Chagas disease, which is a potentially fatal malady endemic to much of Latin America.

We used the expression modes to represent individual proteins: each protein i is a vector m i of n real values taken from the top n expression modes as obtained via PCA (i.e. Y1: n, i ).

where Z i is a vector of i's personal, household, and community characteristics.

Let the data set be D = { y, { x i } i  = 1,…, n }, where x i is a vector of inputs (SNP genotypes) for individual i and y is a vector of target variables (EPD).

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