Sentence examples for over the integer from inspiring English sources

The simulation and some experimental results validate the superiority of the fractional order controllers over the integer controllers.

Based on these findings, we devise an attack on the public key algorithm based on Chebyshev polynomials over the integer ring ZN.

In this paper, we further analyze in detail the period distribution of the sequences generated by Chebyshev polynomials over the integer ring ZN when N is composite.

The decryption function with and the secret key being the Euler-phi function is defined by the following two steps: (1 Compute over the integer field; (2).

In[11], a decoding procedure is proposed based on the modified Berlekamp-Massey algorithm for BCH codes defined over the integer residue ring Z p k Open image in new window.

We draw it randomly from a uniform distribution over the integer values in the set ({0, 1, 2,..., overline{z}_r,-, 1, overline{z}_r}) for each resource r.

Latin subscripts range over the integers (1,2,3).

The free commutative ring with identity on two generators however consists of the ordinary two-variable polynomials over the integers.

Greek subscripts are understood to range over the integers ((1,2)), and Latin subscripts take the values (1,2,3).

This paper presents methods to construct large families of discrete 2D arrays over the integers, or roots of unity.

Their main technique is to encode integers in a single ciphertext so that it enables to efficiently compute their sums and products over the integers.