It is clear that positivity of K11 and negativity of g imply that non-negative f1, f2 give non-positive x2 and thus the representation x 2 ( t ) = ∫ 0 ω G 21 ( t, s ) f 1 ( s ) + G 22 ( t, s ) f 2 ( s ) d s, t ∈ [ 0, ω ], guarantees the desired relations G21 t, s) ≤ 0 and G22 t, s) = 0, t, s∈ [0, ω].
This is the desired relation.
Consequently, equalities (4.8) and (4.9) lead to desired relation (3.9).
From (5.3) the assertion and the desired relation (3.3) follow, bringing the proof to an end.
Based on spherical polar coordinates, a quantizer is proposed with a desired relation between the quantized data and the corresponding quantization error for this problem.
The compliant frame has been designed through an optimization procedure to achieve a desired relation between the applied force and the angular displacement of the optical axes of the optoelectronic components.
Therefore, by Equations 7 and 19 and some mathematics, we obtain the desired relation: ω k x, ν = c a 0 v l α − 2 t l, l ± 1 α, α cos k x a 0 − 2 t l, l α, α ± 1 cos πν w a 0 1 2, Open image in new window (27).
The British government, and in particular Neville Chamberlain, desired better relations with Italy and these were achieved with the signing of the Anglo-Italian Agreements of 1938.
With relations between the Soviet Union and China at a nadir border clashes between the two took place during Nixon's first year in office Nixon sent private word to the Chinese that he desired closer relations.
The algorithm can be used to create lattices with an arbitrary degree or connectivity by making use of the assortativity matrix in an unconventional manner: Each node of the lattice is assigned a unique module, where the probability of having an edge between modules reflects the desired neighborhood relations in the lattice.
The political and social identity of 'lesbian' is a modern term and usually taken to refer to women's sexual and emotional practices, desires, relations, and relationships with women.
