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Biochemical Systems Analysis: A Study of Function and Design in Molecular Biology [pp. 306 334] (Addison-Wesley Pub. Co., Advanced Book Program, 1976).
This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers, where a function field of one variable is the analogue of a finite extension of Q, the field of rational numbers.
To give just a couple of examples, Hilbert's early axiomatic work (e.g. in his arch-famous Foundations of Geometry) was deeply set-theoretic; Ernst Steinitz published in 1910 his research on abstract field theory, making essential use of the Axiom of Choice; and around the same time the study of function spaces began with work by Hilbert, Maurice Fréchet, and others.
We present a large-scale study of function localization in a metabolic network model of the yeast.
With this background, we conducted a study of function, pain, and quality of life in patients with shoulder prostheses in Norway.
Many proteins have been reported to be from the renal stone matrix, but the study of function of only few has been done.
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Study of functions of a complex variable, with emphasis on interrelations with other parts of mathematics.
As protocols for genome editing are well optimized for P. patens it can be a very suitable object for further study of functions of lncRNAs in plants.
The analogy with trigonometric functions ran very deep (indeed, the trigonometric functions turned out to be special cases of elliptic functions), but their greatest influence was on the burgeoning general study of functions of a complex variable.
Taylor's formula pointed toward Newton's original goal the general study of functions by power series but the actual meaning of this goal awaited clarification of the function concept.
Unified study of functions of random variables, geometrical probability, multi-server queuing theory, spatial location theory, network analysis and graph theory, and relevant methods of simulation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com