Sentence examples for a natural integer from inspiring English sources

Let m be a natural integer.

Due to symmetry in the solutions, a natural integer linear programming formulation does not yield a good solution procedure.

Assume that (a - f) a - frue for are natruel integers n ≤ k, where k ≥ 0 is a fored integer.

On the basis of the assumption of the recurrent relations (1.2) that exist within the hyperspherical function (1.1), we can calculate a discrete dimensional flux of this function in the domain of natural integer degrees of freedom.

Let ℕ, ℤ, ℝ be the sets of natural, integer and real numbers, respectively.

being Δ the natural integer determining the quantization step (frac {1}{2^{Delta }}) between admissible quantized values.

The ℕ, ℤ, and ℝ denote the collections of natural, integer, and real numbers, respectively; ( m i ) ( = m ! i ! ( m − i ) ! ) denotes the binomial coefficients.

Throughout this paper, we use the usual notation (mathbb{N}), (mathbb{Z}), (mathbb{R}) and (mathbb{C}) for the sets of natural, integer, real and complex numbers, respectively.

Consequently, for each natural integer n, the exact and approximate nth moments can be approximated by the same expression as given by (25) and (29).

As Mr. Gardner explained in "The Incredible Dr. Matrix" (1976), the number is the 10 natural integers arranged in English alphabetical order.

For this reason, the book starts with the most elementary properties of the natural integers.