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This class contains several well-known classes of functions such as non-negative convex functions and s-convex in the second sense functions.
This usage of 'mechanical' tends to obscure the possibility that there may be machines, or biological organs, that calculate (or compute, in a broad sense) functions that are not Turing-machine-computable.
Apoha, in this sense functions like a sense or meaning, a not-non X expressed by the word X, which enables us to pick out real particulars while at the same time avoiding a commitment to real universals in virtue of the special features of double negation.
By definition, the space H s ( R 2 ), s ∈ R, consists of (generalized) functions u ( x ) for which their Fourier transforms u are local integrable in Lebesgue sense functions, and the norm is finite: ∥ u ∥ s 2 = ∫ R 2 | u ˜ | 2 ( 1 + | ξ | ) 2 s d ξ < + ∞.
We denote by (C_{b} ( Xtimes Y )), the space of all B-continuous functions on (Xtimes Y). (B ( Xtimes Y ),C ( Xtimes Y ) ) denote the space of all bounded functions and the space of all continuous (in the usual sense) functions on (Xtimes Y) endowed with the sup-norm (Vert cdot Vert _{infty}).
Now what science has done in the last few hundred years (following on from much older work by Greeks and Arabs) is to work out, sometimes in broad terms, often in very fine detail, how our world (in the widest sense) functions.
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Biologists confirmed that embryos are living organisms undergoing rapid change and are not in any sense functioning persons.
The aesthetic co-ordinates not only rose to the surface of the group's output, but in some sense functioned as an integral part of the music itself.
There have been many accounts of the semantics of anaphora according to which anaphoric pronouns in some sense function like definite descriptions.
MIM may not be very useful in a single collision domain because the carrier sense function prevents the frame transmission during busy periods.
Assume that f ∈ S p S A P ω ( R + × X, X ) is an asymptotically uniformly continuous on bounded sets in the Stepanov sense function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com