The phrase "a set of basic functions" is correct and usable in written English.
It can be used when referring to a collection of fundamental operations or capabilities within a specific context, such as programming or mathematics.
Example: "In this software, a set of basic functions is provided to help users perform common tasks efficiently."
Alternatives: "a collection of fundamental functions" or "a group of essential functions."
The scattered electron wave is decomposed in a set of basic functions, which are the eigen functions of the Hamiltonian of the projected electrostatic object potential.
A client library providing a set of basic functions for data integration and retrieval has been built in both static and dynamic link versions.
For simplicity, each Boolean function is selected from a set of basic functions: the buffer, NOT, AND, NAND, OR, NOR, XOR and XNOR.
Such specific cellular arrangements in space along the brain cortex might establish a "neural code," a set of basic functions from which, once connected together on a timely manner, higher order functions could emerge.
Second, complex variations of field sources can be decomposed for each source into individual components via a set of basic (influence) functions.
In Biology and Physiology housekeeping genes are the key to determine the set of basic functions necessary for cellular life or an organ function [ 1].
The same set of basic functions (see [3, 4]), noted (N_{1}), (N_{2}), (N_{3}), (N_{4}), is used for locally describing the geometry and the unknown function on a boundary element.
The cubic isoparametric boundary element uses the same set of basic functions (see [3, 4]), noted N 1, N 2, N 3, N 4, for describing the geometry and the unknown function.
To shed a light on this mechanism, we performed some additional calculations for the same complex geometries with the He atom replaced by the 'ghost' (defined as the 'atom' with the same set of basic functions and the zero nuclear charge).
By decomposing them into a set of more basic functions, we might hope to understand how to integrate some of them into a naturalistic perspective.
