elementary function in a sentence

Examples

1. The class of lower elementary functions has a description in terms of composition of simple functions analogous to that we have for elementary functions.
2. These elementary functions and their elementary integrals may be any set of functions and definitions of integrals over these functions which satisfy these axioms.
3. By choosing the proper elementary function for signal with different spectrum structure, adaptive Gabor representation is able to accommodate both narrowband and wideband signal.
4. The class of lower elementary functions has a description in terms of composition of simple functions analogous to that we have for elementary functions.
5. The derivatives of elementary functions are elementary, but the antiderivatives are often not . talk ) 11 : 38, 7 August 2015 ( UTC ).
6. There are, however three special cases which can be expressed in terms of elementary functions as can be seen by inspection of the characteristic function:
7. Since 1968 there is the Risch algorithm for determining indefinite integrals that can be expressed in term of elementary functions, typically using a computer algebra system.
8. :I guess the intuition is gained by working with M�bius transformations and various elementary functions to see their effect on various simple regions in the plane.
9. is above to illustrate the fact that some elementary functions cannot be approximated by Taylor polynomials in neighborhoods of the center of expansion which are too large.
10. Applying the construction of the Daniell integral described further below using step functions as elementary functions produces a definition of an integral equivalent to the Lebesgue integral.