Sentence examples for function can be written as a from inspiring English sources

It follows immediately from the rules for manipulating Fourier transforms that any Schwartz function can be written as a Riesz potential, (1.5).

An equivalent definition can be obtained by requiring that each regulatory function can be written as a composition of Boolean functions that use only the operators AND and OR with one or more inputs.

which means that, in the limit of low coupling, the Green function can be written as a sum of resonances, and furthermore, the parameters of interest have simple expressions.

It is important to mention that, even if the simple decomposition in Equation 4 is correct in the limit of low coupling, the fact that the conductance function can be written as a sum of resonances is always true; also, the positions of the Green function's zeros are independent of the coupling strength, as was proven in[10].

Finally, the object function can be written as: arg max V trace A T M K A s. t.

Caputo's derivative of order with the lower limit for a function can be written as (23).

The fractional derivative of order of a continuous function can be written as (2.5).

A Clifford-valued function can be written as where each is real-valued and are reduced products.

Using (7), the conditional Expectation of the log likelihood function can be written as: (A.1).

The function can be written as (2.8).

The corresponding Lagrange function can be written as: (30).