A mathematical frame for modeling batch and semi-batch membrane filtration processes is provided.
Under such a unified theory, the fictitious eigenvalue, spurious eigenvalue and pseudo-fictitious eigenvalue can be explained in a simple mathematical frame.
Section 3 studies the Taylor problem in the wide-gap case by using the averaging method, and establishes its mathematical frame.
Hence, this study develops a mathematical frame of robust control of welding processes for welding engineers who understand welding process principles and have elementary feedback control background.
Atanassov [40] proposes a novel concept of higher order FSs, i.e., intuitionistic fuzzy sets (IFSs), which provides a flexible mathematical frame to address the hesitancy derived from imprecise information.
Since the concept of pseudo amino acid composition (PseAAC) was proposed [16], it has provided a very flexible mathematical frame for investigators to incorporate their desired information into the representation of protein samples.
Once the speech signals are divided into frames with selected lengths, then each frame sequence is reconstructed by means of the mathematical form.
The corresponding mathematical question, framed in 1852, became the celebrated "four-colour map problem": Is it possible to construct a planar map for which five colours are necessary?
The games' core concept has remained the same and their ideals exist today in an incredibly nuanced, deep, mathematical metagame, framed by beautiful 3DS landscapes teeming with fantastic creatures, regardless of what confusingly conservative genwunners might say.
Such variation was associated with differences in positioning dynamic geometry in relation to curricular norms and in privileging a mathematical register for framing figural properties.
