Sentence examples for provided necessary and from inspiring English sources

A section of the bill claims that Pearl Harbor's commanders at the time, Adm. Husband E. Kimmel and Gen. Walter C. Short, "were not provided necessary and critical intelligence that would have alerted them to prepare for the attack".

In a linear model with an arbitrary variance covariance matrix, Zyskind (Ann. Math. Statist. 38 (1967 10922) provided necessary and sufficient conditions for when a given linear function of the fixed-effect parameters has a best linear unbiased estimator (BLUE).

Despite suggestions that Congress was validating the theory, its defense authorization bill in 2000 included a provision that would absolve Admiral Husband Kimmel and General Walter Short, the military commanders at Pearl Harbor, of any blame for Japan's attack, declaring that they were not "provided necessary and critical intelligence that would have alerted them to prepare for the attack".

Gut [4] provided necessary and sufficient conditions for the complete convergence of the Cesáro means of i.i.d.i.d

Very recently, Bokrantz and Fredriksson [22] provided necessary and sufficient conditions for robust efficiency studied by Ehrgott, Ide, and Schobel [20] to multiobjective optimization problems with data uncertainty.

Williamson and Skelton [9] established a general class of tensegrity structures, defined the topological structure necessary to achieve tensegrity, and provided necessary and sufficient conditions for equilibrium.

The result provides necessary and sufficient conditions for boundedness.

In our main result, we provide necessary and sufficient conditions for the null controllability.

We provide necessary and sufficient conditions for the equivalence of ℓ∞ and ℓ1 optimization.

They can be calculated explicitly, and we provide necessary and sufficient conditions for their existence.

We provide necessary and sufficient conditions for a sender to never gain by becoming informed.