This approach, he argued, has failed to give us any real understanding of the necessary and sufficient conditions for knowledge.

But one might worry that these so-called necessary and sufficient conditions do not apply in every case.

The third statement gives a necessary and sufficient condition concerning stability.

It is, generally, a necessary and sufficient condition for the verification of a natural monopoly.

In a paper from 1936 he proved a necessary and sufficient condition for a function to be measurable.

The necessary and sufficient conditions of therapeutic personality change.

He also provided early arguments for "a 'Necessary and sufficient conditions being' as cause of all other existents."

As applied to a rigid body, the necessary and sufficient conditions become:

The solution process includes satisfying general necessary and sufficient conditions for optimality.

Lakoff is certainly not trying to establish necessary and sufficient conditions for being liberal or conservative.

The most famous of them is the so called Cauchy criterion, the only one that gives necessary and sufficient conditions.

So what on earth could depend on our success or failure to discover necessary and sufficient conditions for knowledge?

Wittgenstein argued that it is not possible to spell out necessary and sufficient conditions for an activity to be a game.

The rank condition is a necessary and sufficient condition for identification.

They understand necessary and sufficient conditions and can write concise definitions.

Can we list the necessary and sufficient conditions such that any action which satisfies these conditions is wrong?

Pollock's book steps back from analytic criteria, which are presumably necessary and sufficient conditions.

In this book he gave the necessary and sufficient condition for the existence of a limit in the form that is still taught.

He has also articulated complete necessary and sufficient conditions for detailed balancing in mass-action systems.

It asks what the jointly necessary and sufficient conditions are for x to be a mereological simple.

Long-range interactions can be allowed (provided that they decay fast enough; necessary and sufficient conditions are known).

Clearly, this tells us that the underclass alone is not a necessary and sufficient condition for the formation of gangs.

(What are the necessary and sufficient conditions for classifying something as music?)

A necessary and sufficient condition for such a solution to exist is one of Fredholm's theorems.

He discovered the necessary and sufficient conditions on initial value problems of ordinary differential equations for the solution to be unique.