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In its most extreme and abstract form, this classic concept of direction is, above all, a sense of style applied to recalcitrant or minor material, to stories dictated by the studio and filmed with casts chosen by the studio.
The concept of direction of arrival (DOA) estimation find its use in applications related to radar or sonar systems.
According to the neo-Fregean account, the claim that concrete lines a and b are parallel is committed, by itself, to abstract objects, directions.[46] Moreover, it has this commitment whether or not any mind ever grasps the concept of direction, or formulates the corresponding abstraction principle.
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They appear to hold in virtue of the meaning of the expressions on the right hands sides: on the face of it, mastery of the concept of a direction presupposes mastery of the concept of parallelism, but not vice versa.
However, this 'contradiction' is inherent in the functional concept of defensive direction (Perkins & Corr, 2006).
However there are sensible differences: PLS requires complete neighborhood exploration around a solution, whereas MDLS performs any kind of local search, including stochastic local search methods; MDLS is based on the previously introduced concept of search direction; more generally, PLS is deterministic (and is proved to converge) whereas MDLS is stochastic.
Note that Definition 3.9 is the concept of bi-direction almost automorphic functions under a bi-direction matched space.
It is obvious that Definition 3.11 is the concept of bi-direction Δ-almost automorphic functions under a bi-direction matched space.
In addition, using the novel concept of eigen-direction iteration, linearly independent fundamental-time-mode response trajectories along eigen-directions are superposed to yield new response trajectories for nonlinear systems.
Explain that ancient Manhattanites did not understand the concept of cardinal directions.
Not all interesting questions are riddles, including some of the interesting questions that Mr. Aczel seeks to answer, like where the concept of the directions used in navigation originated, or how sailors navigated before there were compasses.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com