Sentence examples for refined arithmetic from inspiring English sources

Or they can be viewed as a generalization of a refined arithmetic mean-geometric mean inequality introduced by Cartwright and Field in 1978.

which refines the arithmetic-logarithmic-geometric mean inequality G < L < A. Theorem 4.3.

which refines the arithmetic-identric-geometric mean inequality G < I < A. Theorem 5.4.

According to (2.6), we obtain the following inequalities which refine the arithmetic-logarithmic-geometric mean inequality G < 1 2 A G + 1 2 G 2 1 / 2 < L < 1 2 A + 1 2 G < A. (3.11).

The CORDIC algorithm, originally proposed using nonredundant radix-2 arithmetic, has been refined in terms of throughput and latency with the introduction of redundant arithmetic and higher radix techniques.

In addition, they also refined the μ-weighted arithmetic-harmonic mean inequality and extended it to an operator version as follows: begin{aligned} &anabla_{mu}bge a!_{mu}b+ 2r (anabla b-a b ), end{aligned} (1.3) b-a b{alignend{aligned_{mu}Bge A!_{mu}B+2r (Anabla B-A!B), end{aligned} (1.3) where (a,begin{alignedathcal{B}^(H) ), (muin[0,1]), and (r=min { {mu,1-mu} }).

Concretely, we obtain refined Young inequalities with the Kantorovich constant, the reverse ratio type and difference type inequalities for arithmetic-geometric operator mean under different conditions.

Very refined.

So refined.

"Shanghai is more refined.

Smooth, refined and spicy.