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Finally, for designing the controller a suitable optimization routine, requiring the objective function and its gradient, is presented.
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But Good acknowledges the overriding rule of usage: "You'll go further in life by violating the rule of pronoun case and saying, 'It was me".' Now to his title, using the preposition for: a noun that is the object of a preposition requires the objective case (like me, him, her), and so the correct formal use is also the common usage: "A Grammar Book for You and Me".
Interferometric Laser Imaging for Droplet Sizing (ILIDS a.k.a. MSI or IPI) requires the objective lens to be defocused so that fringe patterns can be imaged.
The optimized design of the fiber reinforcing systems requires the objective assessment of the contribution of each type of fiber to the overall tensile response.
For nonprofessional writers, the most common relative-pronoun lapse seems to be the use of "who," the subject or nominative form, in places where standard usage requires the objective form "whom".
In addition, it requires the objective function value only, not the derivatives.
The resource allocator operates on the basis of convex optimization which requires the objective function to be concave.
PSO is a global optimizer which uses random search and does not require the objective function being differentiable.
KL divergence formula is not a bound-constrained problem, which requires the objective function to be well defined at any point of the bounded region [16].
It is welcomed in practice, because it is easy to implement, needs few parameters, and does not require the objective function to be differentiable [17].
The proof of the concavity with respect to the variable vector w ~, requires the objective function to be twice differentiable and its Hessian matrix to be negative semi-definite [14].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com