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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.
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.
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).
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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].
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.
"The woman… knows that when people look at her, they do not distinguish her from her appearance: she is judged, respected or desired in relation to how she looks".
When asked to report other things they desired in relation to oral health, 'eating enjoyment' and 'fresh breath' were the most frequent answers.
"The second half of the piece is about men's loneliness and their confusion about desire in relation to women they don't know," says Casson.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com