Sometimes it is necessary to roughly calculate the square inch area of the opening but the calculation can usually be made with sufficient accuracy that it won't affect the final computation.

Religious faith can be considered a necessary condition of membership in a congregation, since the decision to join a worshiping group requires some motive force, but faith is not a sufficient condition for joining ; ;

" The Federal Public Defender recommends that defendants speak in terms of how a lenient sentence will be sufficient, but not greater than necessary, to comply with the statutory directives set forth in.

According to these models, a necessary ( but not sufficient ) condition for the occurrence of amorphous phases is that T < sub > h </ sub > has to be smaller than 0. 3, that is the deposition temperature must be below 30 % of the melting temperature.

The namesake of the board game, gameboards would seem to be a necessary and sufficient condition of the genre, though card games that do not use a standard deck of cards ( as well as games which use neither cards nor a gameboard ) are often colloquially included.

Equality of forward and backward reaction rates, however, is a necessary condition for chemical equilibrium, though it is not sufficient to explain why equilibrium occurs.

But other thinkers sympathetic to his basic argument have suggested that the necessary ( though perhaps still not sufficient ) extra conditions may include the ability to pass not just the verbal version of the Turing test, but the robotic version, which requires grounding the robot's words in the robot's sensorimotor capacity to categorize and interact with the things in the world that its words are about, Turing-indistinguishably from a real person.

Thus the necessary and sufficient conditions for the truth of a proposition of law simply involved internal logic and consistency, and that the state's agents used state power with responsibility.

A necessary and sufficient condition for this inverse function to exist is that the determinant of the Jacobian Matrix, often referred to simply as the Jacobian, should be different from zero.

The sufficient reason [...] is found in a substance which [...] is a necessary being bearing the reason for its existence within itself.

In fact, the converse is also true ; being a Tychonoff space is both necessary and sufficient for possessing a Hausdorff compactification.

Although some authorities see the Torah as commanding Jews to believe in God, Jews see belief in God as a necessary, but not sufficient, condition for a Jewish life.

Moreover, the equations are necessary and sufficient conditions for complex differentiation once we assume that its real and imaginary parts are differentiable real functions of two variables.

An intensional definition, also called a coactive definition, specifies the necessary and sufficient conditions for a thing being a member of a specific set.

For nonlinear systems this is one of the ( necessary but not sufficient ) conditions for chaotic behavior.

That is, Gettier contended that while justified belief in a true proposition is necessary for that proposition to be known, it is not sufficient.

This is a necessary but not a sufficient condition for successful economic calculation.

While still in his teens, he was able to determine a necessary and sufficient condition for a polynomial to be solvable by radicals, thereby solving a long-standing problem.

Liquids that do not evaporate visibly at a given temperature in a given gas ( e. g., cooking oil at room temperature ) have molecules that do not tend to transfer energy to each other in a pattern sufficient to frequently give a molecule the heat energy necessary to turn into vapor.

When Nature failed to do this spontaneously, contact with a conductor of animal magnetism was a necessary and sufficient remedy.

If police action is not sufficient to stop the guerrilla fighters, military sweeps may be necessary.

The lack of sufficient domestic or foreign investment funding precluded by 1939 the level of industrial development necessary for creating modern armed forces for successful self-defense ; because of its strategic and tactical priorities, the ruling establishment had not primarily prepared the country for a major war on the western front.

In writing, phrases commonly used, with debatable propriety, as alternatives to P " if and only if " Q include Q is necessary and sufficient for P, P is equivalent ( or materially equivalent ) to Q ( compare material implication ), P precisely if Q, P precisely ( or exactly ) when Q, P exactly in case Q, and P just in case Q.

Confidentiality is necessary ( but not sufficient ) for maintaining the privacy of the people whose personal information a system holds.

But while war still serves as a catalyst for the values that Malraux wishes to express, these values are no longer linked with the triumph or defeat of any cause -- whether that of an individual assertion of the will-to-power, or a collective attempt to escape from the humiliation of oppression -- as their necessary condition.

Hence, the condition of freedom is a necessary condition for choice.

Therefore, by contraposition, a necessary condition for unit-treatment additivity is that the variance is constant.

Mueller accepted, on the condition that he have a say in NASA reorganization necessary to effectively administer Apollo.

Another approach, used by modern hardware graphics adapters with accelerated geometry, can convert exactly all Bézier and conic curves ( or surfaces ) into NURBS, that can be rendered incrementally without first splitting the curve recursively to reach the necessary flatness condition.

This view entails the problem that it makes any moral criticism of the law impossible: if conformity with natural law forms a necessary condition for legal validity, all valid law must, by definition, count as morally just.

It is necessary to make sure that u and v are real differentiable, which is a stronger condition than the existence of the partial derivatives but it is not necessary to require continuity of these partial derivatives.

The addition of HIV positivity to surveillance criteria as an absolutely necessary condition for case reporting occurred only in 1993, after a scientific consensus was established that HIV caused AIDS.

The existence of financial markets is a necessary condition for economic calculation.

The definition offered by the Oxford English Dictionary incorporates suffering as a necessary condition, with " the painless killing of a patient suffering from an incurable and painful disease or in an irreversible coma ", and this approach can be seen as a part of other works, such as Marvin Khol and Paul Kurtz's " a mode or act of inducing or permitting death painlessly as a relief from suffering ".

Fasting is necessary for every Muslim that has reached puberty ( unless he / she suffers from a medical condition which prevents him / her from doing so.

A necessary condition of every subject's self-awareness, for Fichte, is the existence of other rational subjects.

Hence, mutual recognition of rational individuals turns out to be a condition necessary for the individual ' I ' in general.

We consider a rural community as an assemblage of inhabited dwellings whose configuration is determined by the location and size of the arable land sites necessary for family subsistence.

To experience them, it is not necessary for a people to be actively aware of what is happening to it.

This co-operation in this matter will provide both for the necessary sharing of this burden and in bringing about still further increases in mutually profitable trade.

This is necessary for a sounder collective defense system.

He is uncompromising in assigning guilt to the man who finds it necessary to inflict or permit injury to one individual or group for the sake of a larger good.

Start to prepare the necessary legislation so that if I am obliged to go to Congress the bills will be ready for immediate consideration ''.

Community shelters are, of course, necessary for those having no space for shelter.

I concur that it is necessary for Americans to have a confrontation of the situation existing in foreign lands.

This financial assistance from the state has become necessary because the local governments themselves found the property tax, or at least at the rates then existing, insufficient for their requirements.

Since accurate base maps are necessary for any planning program, the first step taken by the planning division to implement the long-range state plan has been to prepare two series of base maps -- one at a scale of 1 inch to a mile, and the second a series of 26 sheets at a scale of 1 inch to 2000 feet, covering the entire state.

All research within the United States contracted for, sponsored, cosponsored, or authorized under authority of this Act, shall be provided for in such manner that all information, uses, products, processes, patents, and other developments resulting from such research developed by Government expenditure will ( with such exceptions and limitations, if any, as the Secretary may find to be necessary in the interest of national defense ) be available to the general public.

The Secretary of the Interior or any duly authorized representative shall be entitled to admission to, and to require reports from the operator of, any metal or nonmetallic mine which is in a State ( excluding any coal or lignite mine ), the products of which regularly enter commerce or the operations of which substantially affect commerce, for the purpose of gathering data and information necessary for the study authorized in the first section of this Act.

A hydrostatic head correction has been neither necessary nor applicable in the determination of vapor pressures or temperatures for the bulk liquid helium.

In addition to the basic programs in wavelength standards, spectroscopy, solid state physics, interactions of the free electron and atomic constants which are necessary to provide the foundation for technological progress, the Bureau has strengthened its activities in laboratory astrophysics.

Under P. L. 113, 78th Congress, the Federal Government assumed responsibility for 100% of necessary State expenditures in connection with administration and the counseling and placement of the disabled, and for 50% of the necessary costs of providing clients with rehabilitation case services.

Throughout these years, the statutory authorization was for such sums as were necessary to carry out the provisions of the Act.

The judgment must therefore be reversed and the cause remanded to the District Court for a determination, after further hearing, of the equitable relief necessary and appropriate in the public interest to eliminate the effects of the acquisition offensive to the statute.

We said there that it was necessary `` that a registrant be given an opportunity to rebut ( the Department's ) recommendation when it comes to the Appeal Board, the agency with the ultimate responsibility for classification ''.