Sentence examples for using this function we from inspiring English sources

Using this function, we can determine the new registration parameters.

Using this function, we have the following theorem.

Using this function, we encrypt the plain text M using a stream cipher.

Using this function, we calculate the values of two-variable q-L-functions at nonpositive integers and study their properties when q tends to 1.

By using this function, we introduce two family of Lagrangian functions and show that in each case, the Euler-Lagrange equations coincide with the Lie equations.

Using this function, we calculate the values of two-variable q-L-functions at nonpositive integers and study their properties when q tends to 1. Mathematics Subject Classification (2000): 11B68; 11B68.

Using this function ([x cdot),y(cdot) ]), we establish some sufficient conditions for the existence of almost periodic solutions for such a class of ε-equivalent impulsive functional dynamic equations on almost periodic time scales.

Using this energy function, we construct the partial partition function (that is, the partition function for the given quantum state ν and reaction coordinate value Q): A1where h is Planck's constant, N is the number of Y degrees of freedom, β = (kB T −1, and the other symbols are defined in section 5.

Using this new function, we tested how quickly the cart can oscillate.

Using this bijective function, we present the main result as below.

Using this probability function, we designed an algorithm, namely Algorithm II in the Method section, to simulate the two-variable reaction model based on the SSA.