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 presence of other members of similar social and economic level is the sufficient condition.

Since P was never asserted as the only sufficient condition for Q, other factors could account for Q ( while P was false ).

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.

Once this condition is met, it is sufficient that local bonding at the specimen surface is capable of being overcome by the field, allowing for evaporation of an atom from the surface to which it is otherwise bonded.

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.

A necessary and sufficient condition for a Banach space X to be associated to an inner product ( which will then necessarily make X into a Hilbert space ) is the parallelogram identity:

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.

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.

Hence, a history alone is rarely sufficient to diagnose a heart condition.

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.

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.

A sufficient condition for perfect recovery is that the non-zero portion of S ( ƒ ) be confined to a known frequency interval of width 1 / T.

Vorticity is measured by a number called the circulation, so an airfoil in a steady flow will develop sufficient circulation to satisfy the Kutta condition.

: A practical issue is whether the fact that an accused is labouring under a " mental disability " should be a necessary but not sufficient condition for negating responsibility i. e. whether the test should also require an incapacity to understand what is being done, to know that what one is doing is wrong, or to control an impulse to do something and so demonstrate a causal link between the disability and the potentially criminal acts and omissions.

product, scale economies were a sufficient but not a necessary condition to prove subadditivity.

In a number of countries, nationality is legally a distinct concept from citizenship, or nationality is a necessary but not sufficient condition to exercise full political rights within a state or other polity.

* The no-cloning theorem does not prevent superluminal communication via quantum entanglement, as cloning is a sufficient condition for such communication, but not a necessary one.

It is important to note that perfect competition is a sufficient condition for allocative and productive efficiency, but it is not a necessary condition.

In this conception, having a paraphilia would be a necessary but not a sufficient condition for having a paraphilic disorder.

The condition on the fundamental group turns out to be necessary ( and sufficient ) for finite time extinction, and in particular includes the case of trivial fundamental group.

When I mentioned that for my first long voyage I did not even have the money for the return fare, but had trusted to luck that I would earn a sufficient amount, the young people looked at me doubtingly.

Others mentioned that I might have had to ask friends or even strangers for help and that to be stranded in a foreign country without sufficient funds did not contribute to international understanding.

Was it supposed, perchance, that A & M ( vocational training, that is ) was quite sufficient for the immigrant class which flooded that part of the New England world in the post-Civil War period, the immigrants having been brought in from Southern Europe, to work in the mills, to make up for the labor shortage caused by migration to the West??

Because of these involvements in the matter at stake, Boniface lacked the impartiality that is supposed to be an essential qualification for the position of arbiter, and in retrospect that would seem to be sufficient reason why the English embassies to the Curia proved so fruitless.

Stigmata quite sufficient for diagnosis are nevertheless there.

Without a great acceleration in the metropolitan area's economy, there will not be sufficient jobs for the growing numbers of youngsters, and St. Louis will slip into second-class status.

in interstellar gas, concentrations as low as Af molecules per Af may be sufficient, as compared to the Af hydrogen atom's Af required for detection of the 21-cm line.

The Peace Corps can either begin in very low gear, with only preparatory work undertaken between now and when Congress finally appropriates special funds for it -- or it can be launched now and in earnest by executive action, with sufficient funds and made available from existing Mutual Security appropriations to permit a number of substantial projects to start this summer.

After it has been seen, have the child start on a mat on hands and knees ( a thin, inexpensive mat is quite sufficient for anything that does not require falling ).

One or two practice runs should be sufficient for solo.

In theory, compulsive behavior is a way of diminishing anxiety, and one might expect a negative association except for the possibility that for many children the obsessive-compulsive defenses are not sufficient to quell the amount of anxiety they suffer.

Elaborate studies have been made in labor surplus areas in order to identify sufficient numbers of local job vacancies and future replacement needs for certain skills to justify training programs for those skills.

Editor Foss stated, `` Of their guilt there can be no doubt but they are entitled to sufficient time to prepare for trial, and a fair trial ''.

Verbal and adverbial elements too participated in each epic diction, but it is for the present sufficient to mark the large nominal and adjectival supply of semantic near-equivalents, and to designate the members of any system of equivalents as basic formulas of the poetic language.

In determining the extent to which any poem is formulaic it is idle, however, to inspect nothing besides lines repeated in their entirety, for a stock of line-fragments would be sufficient to permit the poet to extemporize with deftness if they provided for prosodic needs.

Washing is continued for 30 minutes or for a period of time sufficient to allow 100 nips or passes through the squeeze rolls.

To proceed from one stage to the next a sufficient number of feed states must be investigated to allow for interpolation ; ;

But the Communists never gave sufficient provocation at any one time for the United States to want to risk a limited or an all-out war over Laos.

In terms of individuals recovering from obsolescence caused by creative destruction, when a small entity lacks sufficient resources to retrain, this can lead to an absorbing state which may persist due to information asymmetries

In these cases, a fractional contingency fee would not represent sufficient motivation for their attorneys, with the casinos motivated more by the fear of losing these cases than in recovering the petty damages involved.