Sentence examples for using the operations of from inspiring English sources

Terms are built up from variables and constants using the operations of the theory.

Briefly, the primitive recursive functions are those that can be formed from the basic functions: by using the operations of composition and primitive recursion: It is known that the Turing computable functions are exactly the recursive functions.

In ZF, sets are built bottom-up, starting with the empty set and iterating a construction of bigger and bigger sets using the operations of union and power set.

The general difficulty here is that we are using the operations of one tiny part of nature that we are familiar with — our own human minds — to serve as "the model for the whole universe" (D, 2.19/148, 3.12/156; cp. EU, 11.29/146).

We select one exponent with an initial value of decrement and, using the operations of the first step, go over the decrement values k 1 and determine the optimal values of the parameters (α 1opt, k 1ont, a 1 > 0) of the first exponent, which provides the minimum error (dispersion) of approximation.

The response of the test object to the stimuli can be monitored by the test system using the operation of physical outputs, communications messages or reports.

It uses the operations of linguistic arithmetic to manipulate granular connection weights, which are represented by linguistic terms.

As shown in Fig. 3, only half of the data are selected to pass through the round function in each round and the other half of the data just use the operation of simply rotation.

The experiment was carried out using the operation instruction of manufacturer (GE healthcare company).

Finally, the whitening keys wk2 and wk3 are used for the operations of X0←X0⊕wk2, and X2←X2⊕wk3.

The formulation uses the procedure of variational operations.