Sentence examples for of a iii from inspiring English sources

Given x ∗ ∈ H 1, the following statements are equivalent: (i) x ∗ solves the SFP;   (ii) x ∗ solves the fixed point equation P C ( I − λ ∇ f ) x ∗ = x ∗, where λ > 0, ∇ f = A ∗ ( I − P Q ) A and A ∗ is the adjoint of A;   (iii) x ∗ solves the variational inequality problem (VIP) of finding x ∗ ∈ C such that 〈 ∇ f ( x ∗ ), x − x ∗ 〉 ≥ 0, ∀ x ∈ C. (1.10)  .

Given (x^in H), the following statements are equivalent: (i) (x^) solves the SFP;   (ii) (x^) solves the fixed point equation P_{C} I-lambdanabla f)x^=x^, where (lambda>0), (nabla f=A^(I-P_{Q})A) and (A^) is the adjoint of A;   (iii) (x^) solves the variational inequality problem (VIP) of finding (x^in C} I-lambdanablallangle nabla f xgl(x^=x^r),x-x^bigrrangle geq0,quad forall xin C.  .

The fixed parameters were: (i) the same internal clinical reviewer conducting reviews at (ii) two time points (the beginning and end) of a (iii) 12-month time interval using (iv) the same sample of patient records and (v) reviewing the preceding three calendar months in each unique patient record at each time point.

The 60-μm long HfO2 grating beam can sustain the stress change during the epitaxial growth of a III-nitride material.

That neglects the fundamental difference between the surface properties and reconstruction of a III-V semiconductor and an elemental one like Si.

In this study, we undertook the challenge of integrating light emitters onto amorphous quartz by demonstrating the direct growth and fabrication of a III-nitride nanowire-based light-emitting diode.

Male subject II-3, the father of a III-6 affected individual (Fig. 1), was referred to as a carrier of multiple bone deformities and pain by living members of the family, strongly suggesting the presence of PDB disease in this individual.

(ii) (operatorname{Re}lambda_{k}(A)>0) for all eigenvalues (lambda_{k}(A)) of A.   (iii) There exist a matrix (Bgeq0) and a scalar (s>rho(B)) such that (A=sI_{n}-B), where (rho(B =max{|lambda_{k}(A)|}) denotes the spectral radius of B.   (iv) There exist a vector (xiinmathbb{R}^{n}) and (xigg0) such that (Axigg0).

The sensor accuracy was investigated in the potentiometric titration of a Fe(III) solution with EDTA.

Note the wall-mounted light box in place of a window (iii).

BAN time is the agreed synchronized time among the sensor nodes of a BAN.   (iii) WSN Time.