Sentence examples for functions to define from inspiring English sources
In general, for a linear functional S on the space of test functions to define a distribution, it is necessary and sufficient that, for every positive integer N there is an integer M'N and a constant C'N such that for every test function φ, one has the inequality :|S[\phi]| \le C_N \sum_{k=0}^{M_N}\sup_{x\in [-N,N]}|\phi^{ k)}(x)|.
The control program can provide the functions to define the velocity of the each motion and moving distances per one pulse.
Next we focus on spaces X of homogeneous type in the sense of Coifman and Weiss, where we use these Haar functions to define a discrete square function, and hence to define dyadic versions of the function spaces H1 X) and BMO X).
This paper considers two new methods of representing fabric response: (i) use of spline functions to define response surfaces, (ii) use of stress strain mean and difference functions (proposed by Day [IASS symposium proceedings: shells, membranes and space frames 2 (1986) 17].
We use three control functions to define such mappings.
The same logic should be followed, using binary functions to define trigger by turbines.
Our aim was then to compare the seasonal evolution of biological processes and molecular function to define groups of similarly regulated/expressed functional classes.
A measure of physical functioning to define stroke recovery at 3 months: preliminary results.
They function to define the distinctive beliefs of opposing or uniting groups within a given religion or to formulate doctrines appropriate to new circumstances, and are chiefly a Christian phenomenon during the period from the Reformation to the present.
(a generic function) to define a method for the generic function, or in other words, to refine the behavior of the generic function by giving it a specific meaning for a particular set of classes or arguments.
