Sentence examples for minimal necessary from inspiring English sources

The advantage of the algorithm lies in its ability to obtain a reliably accurate identification using the minimal necessary instrumentation with no a priori mass or stiffness information.

In a chaotic situation, the number of independent variables, which is the number of reaction intermediates appearing near the rate-determining step, is between the first or second integer greater than the correlation dimension and the minimal necessary embedding dimension.

Indeed, many interesting quantitative properties, like minimal necessary battery capacity and maximal achievable lifetime, can be naturally specified by quantitative-bound automata, which are finite automata with integer registers whose analysis is constrained by a bound function f that maps each system K to an integer f(K).

It is very difficult to establish exactly the minimal necessary dose for any given examination [1].

In the present work, the K-phase substrate will be considered, specifically, minimal necessary number of layers in order for that such structure to be stable.

What is the minimal necessary magnitude of the inhibitory force that a exercises upon b? Exactly b, since beyond this amount there would be no cause for a to exert a dimming effect.

"The requirement for some document to show that a person is in existence is minimal and necessary," Mr. Specter said.

As a result, he said, India's tests were "a minimal response necessary" to protect India's security.

Should force be required it should be the minimal amount necessary for self-defense or to insure an arrest.

The concerns escalated after the disclosure that Mr. Giuliani projected spending up to $1.2 million on the salaries of fund employees -- costs Mr. Giuliani has defended as minimal and necessary.

In a society held together by commerce and property, and by law based on property — modern democratic society — such commonsense ideas offer the minimal but necessary faith.