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By means of the discrete Fourier transform, the volume integral equation in the wavenumber domain can be dealt with as a Fredholm equation of the 2nd kind with respect to a non-Hermitian operator on a finite dimensional vector space.
The optimal parameters are used to transform the volume and a second pass with the same sequence of steps is performed.
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The Social Marketing Cloud, says the company, will help social enterprises transform the massive volume of social media conversations into meaningful engagements.
Venetian artisans used a wide variety of fine materials and embellishments in order to transform the Commission volume in the symbol of its recipient's social status: the cover materials and decoration techniques could vary from simple parchment and gold tooled leather to silk velvet, brocade and, lastly, silver plates during the 18th century.
No one could quarrel with Jackson's scheme to transform the three volumes of "The Lord of the Rings" into a trilogy of films.
It is also considering setting up a plant that would transform the large volumes of cheap natural gas now available in the United States into liquid fuels.
We then use the marching cube algorithm [21] to transform the dilated clot volume into meshed surfaces.
Thus, one can construct the 3D FT of the specimen by combining the FTs of all the 2D projection images inserted into a 3D FT volume, and computing the inverse Fourier transform of the volume (i.e., "direct Fourier inversion") (Ludtke et al. 1999; Belnap 2015).
Now Theaterworks/USA has transformed the first volume into a musical.
In 1709 the Birmingham-trained Abraham Darby I moved to Coalbrookdale in Shropshire and built the first blast furnace to successfully smelt iron ore with coke, transforming the quality, volume and scale on which it was possible to produce cast iron.
Hence, each point in time corresponds to a different surface and the time integration can be transformed to the volume integral: Now substituting the form of Γ given by Eq. (8), and assuming Γ 0 is spatially independent, Setting, without loss of generality, the observation point at the origin (r = 0 ), the PA response becomes where and.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com