Sentence examples for necessary and sufficient from inspiring English sources

Suggestions(5)

a pair of necessary and sufficient

indispensable and sufficient

essential and sufficient

necessary and considerable

necessary and appropriate

"necessary and sufficient" is a correct and usable phrase in written English.
It is often used in the context of logic and mathematics to describe conditions or criteria that are both necessary and sufficient for a certain outcome or conclusion. One example of using this phrase in a sentence could be: "In order to be eligible for the scholarship, students must meet the necessary and sufficient criteria of having a GPA of 3.5 or higher and demonstrating financial need."

Exact(59)

"The basic message is that subsidized housing was both necessary and sufficient to create housing stability".

The New York Times

"Whether Blankenship's campaign contributions were a necessary and sufficient cause of Benjamin's victory is not the proper inquiry," he wrote.

The New York Times

conditions (1.13) are both necessary and sufficient.

Advances in Difference Equations

Necessary and sufficient stability conditions are shown.

IFAC Proceedings Volumes

Peripheral pathways are necessary and sufficient for the pinnule response.

Science Magazine

What are the necessary and sufficient conditions for evil action?

SEP

What are the necessary and sufficient conditions for evil character?

SEP

The result provides necessary and sufficient conditions for boundedness.

Journal of Functional Analysis

We assume that the following necessary and sufficient conditions hold.

The Journal of Mathematical Neuroscience

Proof.

EURASIP Journal on Wireless Communications and Networking

Similar(1)

Note that the annotations are not necessary-and-sufficient definitions.

BMC Systems Biology

More suggestions(16)

appropriate and sufficient

adequate and sufficient

necessary and satisfactory

necessary and adequate

useful and sufficient

requisite and sufficient

needed and sufficient

is essential and sufficient

is indispensable and sufficient

to be required and sufficient

it is required and sufficient

necessary and enough

necessary and ordinary

necessary and natural

necessary and urgent

necessary and inevitable

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