In conformance with the maximization principle we affirm that Gentile-Jewish relations will be harmonious or inharmonious to the degree that one relation or the other is expected by the active participants to yield the greatest net advantage, taking all value outcomes and effects into consideration.

The appeal is going to be to the pocketbook and may be very convincing to those who do not see its relation to political and legal, as well as economic, self-rule.

He knows that he is thinking about action in relation to a future which can be perceived but dimly through a merciful fog.

He must deal with the question of how to manage a part when it cannot be handled without relation to the whole -- when the whole is too large to grasp.

This program is based on the policy of designing and building efficient machines which will help produce better textile values -- fabrics whose cost in relation to quality, fashion and utility provide the consumer with better textile products for the money.

Whether considered alone or in relation to other editions, COLH 40 is a document of prime importance.

The mean temperature of the surface was then computed according to the following relation: Af where x is the fraction of the plug area covered by the hot spot.

Many workers believe that the response is proportional to the incident momentum of the particles, a relation deduced from laboratory results linearly extrapolated to meteoritic velocities.

And the more complex the morphophonemic system is in relation to the phonemic base, the less easily a phonemic system will be analysed without close attention to the morphophonemics -- at least, the less satisfying will a phonemic statement be if it cannot be related through morphophonemic rules to grammatically meaningful structures.

Whether or not it is in the industry's interest to allow the basic wage rate to rise obviously depends upon the extent to which the public-limit price rises in response to a basic wage increase, and the relation of this response to the increase in costs accompanying the wage increase.

The first is that enforcement of national law in state litigation raises in reverse the old diversity puzzle of the relation of procedure to substance.

A parallel function for philosophy is the study of the relation between perceptions experientially received and conceptions logically formed.

that is, by being placed in such relation to the forms depicted within the illusion that these forms left no room for the typography except near the surface.

and it is as if the only stable relation left among the different parts of the picture is the ambivalent and ambiguous one that each has with the surface.

The luminous efficiency Af of a photocathode depends on the maximum radiant sensitivity Af and on the spectral distribution of the incident light Af by the relation: Af where Af is normalized radiant photocathode sensitivity.

It is very important indeed, in the field of extra-sensory perception and its relation to the survival hypothesis, to know whether the statements are actually only those which any intuitive person might venture and an eager sitter attach to himself.

There is general agreement also that sex union between husbands and wives as an expression of mutual affection without relation to procreation is right ''.

The crux of ecumenical advance is an even more personalized matter than the relation between congregations in the same community.

It is, he said, a bifocal vision, which can see both the near-at-hand and the distant and keep a Christian in right relation to both.

It is not disturbing them by thoughts of their Christian responsibility in relation to the world.

( 2 ) Realtors realize, of course, that they are involved in an increasingly complex legal and political system that is opening up opportunities for leverage on their relation to clients as well as opportunities for evasion of their responsibility for racial discrimination in housing.

When there are only two means to compare, the t-test and the ANOVA F-test are equivalent ; the relation between ANOVA and t is given by F = t < sup > 2 </ sup >.

Martin Heidegger argued that the relation between the subject and object is ambiguous, as is the relation of mind and body, and part and whole.

This relation is equivalent to, which is sometimes called the B *- identity.

Two elements of the set are considered equivalent ( with respect to the equivalence relation ) if and only if they are elements of the same cell.

Although various notations are used throughout the literature to denote that two elements a and b of a set are equivalent with respect to an equivalence relation R, the most common are " a ~ b " and " a ≡ b ", which are used when R is the obvious relation being referenced, and variations of " a ~< sub > R </ sub > b ", " a ≡< sub > R </ sub > b ", or " aRb ".

More generally, a function may map equivalent arguments ( under an equivalence relation ~< sub > A </ sub >) to equivalent values ( under an equivalence relation ~< sub > B </ sub >).

Thus an equivalence relation over X, a partition of X, and a projection whose domain is X, are three equivalent ways of specifying the same thing.

In mathematics, given a set and an equivalence relation on, the equivalence class of an element in is the subset of all elements in which are equivalent to.

In other words, if is an equivalence relation on a set, and and are two elements of, then these statements are equivalent:

More generally, a function may map equivalent arguments ( under an equivalence relation on ) to equivalent values ( under an equivalence relation on ).

In many texts the transition relation is replaced by an ( equivalent ) formalization, where

So, we can very well say that the following equivalent relation is true:

For a given geometric figure in a given geometric space, consider the following equivalence relation: two automorphisms of space are equivalent if and only if the two images of the figure are the same ( here " the same " does not mean something like e. g. " the same up to translation and rotation ", but it means " exactly the same ").

A dimensionless variable is a combination whose units are all zero ( hence, dimensionless ), which is equivalent to the kernel of this matrix ; a dimensionless variable is a linear relation between units of dimensional variables.

The Many-Worlds Interpretation deals with it by discarding the collapse-process, thus reformulating the relation between measurement apparatus and system in such a way that the linear laws of quantum mechanics are universally valid ; that is, the only process according to which a quantum system evolves is governed by the Schrödinger equation or some relativistic equivalent.

In modern musical notation and tuning, an enharmonic equivalent is a note ( enharmonic tone ), interval ( enharmonic interval ), or key signature ( enharmonic key signature ) that is equivalent to some other note, interval, or key signature but " spelled ", or named differently ( enharmonic relation ).

is equivalent to the recurrence relation

Bertrand Russell discussed the paradox briefly in § 38 of The Principles of Mathematics ( 1903 ), distinguishing between implication ( associated with the form " if p, then q "), which he held to be a relation between unasserted propositions, and inference ( associated with the form " p, therefore q "), which he held to be a relation between asserted propositions ; having made this distinction, Russell could deny that the Tortoise's attempt to treat inferring Z from A and B is equivalent to, or dependent on, agreeing to the hypothetical " If A and B are true, then Z is true.

It may establish the relation of the figure of the dancer to light and color, in which case changes in the light or color will set off a kaleidescope of visual designs.

A useful comment on his relation to his region may be made, I think, by noting briefly how in handling Southern materials and Southern problems he has deviated from the pattern set by other Southern authors while remaining faithful to the essential character of the region.

Related to this is lexicostatistics, which attempts to determine the degree of relation between a set of languages by comparing the percentage of basic vocabulary ( words like " I ", " you ", " heart ", " stone ", " two ", " be ", " and ") they share in common.

In mathematics, a binary relation R on a set X is antisymmetric if, for all a and b in X

Acknowledging the lack of progress in relation to bilateral relations and the internal situation following the position adopted in 1997, the EU adopted a step-by-step approach in 1999, whereby sanctions would be gradually lifted upon fulfillment of the four benchmarks set by the Organization for Security and Co-operation in Europe.

In mathematics, a binary relation on a set A is a collection of ordered pairs of elements of A.

An example is the " divides " relation between the set of prime numbers P and the set of integers Z, in which every prime p is associated with every integer z that is a multiple of p ( and not with any integer that is not a multiple of p ).

A binary relation is the special case of an n-ary relation R ⊆ A < sub > 1 </ sub > × … × A < sub > n </ sub >, that is, a set of n-tuples where the jth component of each n-tuple is taken from the jth domain A < sub > j </ sub > of the relation.

The sets X and Y are called the domain ( or the set of departure ) and codomain ( or the set of destination ), respectively, of the relation, and G is called its graph.

Some mathematicians, especially in set theory, do not consider the sets and to be part of the relation, and therefore define a binary relation as being a subset of x, that is, just the graph.

The graph of a function or relation is the set of all points satisfying that function or relation.

But " having distance 0 " is an equivalence relation on the set of all Cauchy sequences, and the set of equivalence classes is a metric space, the completion of M. The original space is embedded in this space via the identification of an element x of M with the equivalence class of sequences converging to x ( i. e., the equivalence class containing the sequence with constant value x ).

# All things bearing a certain relation to other members of the set are also to count as members of the set.

Alternatively, and especially in connection with the relational model of database management, the relation between attributes drawn from a specified set of domains can be seen as being primary.

In mathematics, a directed set ( or a directed preorder or a filtered set ) is a nonempty set A together with a reflexive and transitive binary relation ≤ ( that is, a preorder ), with the additional property that every pair of elements has an upper bound: In other words, for any a and b in A there must exist a c in A with a ≤ c and b ≤ c.