Sentence examples for for u s from inspiring English sources

Based on T ( u r ), m s and m r, we construct the (m s + m r ) × m s coding matrix M, where M u s, u s = 1 for u s = 1, …, m s M u r + m s, u s = 1 if u s ∈ T ( u r ), ∀ u s, u r M i, u s = 0 otherwise (12).

Mr. Beigie said the plan was the "chief issue" for U S West.

Qwest will issue about 882 million shares in exchange for U S West shares, or about 53percentt of the combined company's shares.

In fact, Deutsche Telekom's ideal agreement would be for U S West to simply disappear from the equation, allowing the German company to pursue a relatively straightforward acquisition of Qwest, executives close to the negotiations said yesterday.

In Qwest's statement late yesterday, Mr. Nacchio said, "We regret that U S West apparently wouldn't even consider an alternative transaction involving a major telecommunications company and Qwest despite the possibility of greater value for U S West shareholders".

As long as Qwest kept U S West out of touch with Deutsche Telekom, Mr. Nacchio could hope to make a better deal for his shareholders than for U S West's.

Actually, in HCF-Theorem and WHCF-Theorem, it suffices to consider that x ≥ s ≥ y. when f is convex for u ≤ s, and x ≤ s ≤ y. when f is convex for u ≥ s (see [3]).

HCF-Theorem Let f be a function defined on a real interval I and convex for u ≤ s or u ≥ s, where s ∈ I.

In [3], we extended the weighted Jensen discrete inequality to a half convex function f, defined on a real interval I and convex for u ≤ s or u ≥ s, where s ∈ I. WHCF-Theorem Let f be a function defined on a real interval I and convex for u ≤ s or u ≥ s, where s ∈ I, and let p 1, p 2, …, p n be positive real numbers such that p = min { p 1, p 2, …, p n }, p 1 + p 2 + ⋯ + p n = 1.

PCF-Theorem Let f be a function defined on a real interval I, decreasing for u ≤ s 0 and increasing for u ≥ s 0, where s 0 ∈ I.

WPCF-Theorem Let f be a function defined on a real interval I, decreasing for u ≤ s 0 and increasing for u ≥ s 0, where s 0 ∈ I, and let p 1, p 2, …, p n be positive real numbers such that p = min { p 1, p 2, …, p n }, p 1 + p 2 + ⋯ + p n = 1.