In practical situations there will be restrictions on the admissible operating conditions, and we regard the vectors as belonging to a fixed and bounded set S.

The set of vectors Af constitutes the operating policy or, more briefly, the policy, and a policy is admissible if all the Af belong to S.

The stage was then set for the campaign for statewide election of the Illinois legislature which would, in turn, select Lincoln or Douglas as its U. S. senator.

Now it is easy to convince oneself that the set X could not possibly be measurable for any rotation-invariant countably additive finite measure on S. Hence one couldn't expect to find an algorithm to find a point in each orbit, without using the axiom of choice.

** For every non-empty set S there is a binary operation defined on S that makes it a group.

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

These states are labeled by a set of quantum numbers summarized in the term symbol and usually associated with particular electron configurations, i. e., by occupation schemes of atomic orbitals ( e. g., 1s < sup > 2 </ sup > 2s < sup > 2 </ sup > 2p < sup > 6 </ sup > for the ground state of neon -- term symbol: < sup > 1 </ sup > S < sub > 0 </ sub >).

* If a set S is in M and S is congruent to T then T is also in M and a ( S )

* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )

`` All I have to do to set the record is to go on down.

And the best way to conceal and disguise the elements of an incest story is not to set out to write an incest story.

The strongest appeal of the Copernican formulation consisted in just this: ideally, the justification for dealing with special problems in particular ways is completely set out in the basic ' rules ' of the theory.

Once the scene is set, Trevelyan skilfully builds up the tense story until it reaches its climax in the dramatic victory of Marlborough and Eugene of Savoy at Blenheim.

Criticism is as old as literary art and we can set the stage for our study of three moderns if we see how certain critics in the past have dealt with the ethical aspects of literature.

To say this is to set aside the realness of time.

I refer to the notion that the structure of society is a microcosm of the cosmic design and that history conforms to patterns of justice and chastisement as if it were a morality play set in motion by the gods for our instruction.

Even to be `` from hope and fear set free '' is at least better than to have lost the first without having got rid of the second.

I believe it is an area in which professional planners have failed to set adequate guide posts ; ;

It is high time the United States began to realize that the God-given rights of men set forth in that document are applicable today to Katanga.

One of the inescapable realities of the Cold War is that it has thrust upon the West a wholly new and historically unique set of moral dilemmas.

The day is now appropriately set aside to honor the American men and women who have contributed to the success of our merchant marine fleet in peace and war.

The Act further provides for a `` floor '' or minimum allotment, set at the 1954 level, which is called the `` base '' allotment, and a `` ceiling '' or maximum allotment, for each State.

The method used in computing the allotments is specifically set forth in the Act.

The method used for computing the respective Federal and State shares in total program costs is specifically set forth in the Act.

It is equipped with electronic controls that can be set to hold precise tension and speed.

the purpose of producing plays at the College is three-fold: to provide the Carleton students with the best possible opportunity for theater-going within the limits set by the maturity and experience of the performers and the theatrical facilities available ; ;

The first substantially complete stereo Giselle ( and the only one of its scope since Feyer's four-sided LP edition of 1958 for Angel ), this set is, I'm afraid, likely to provide more horrid fascination than enjoyment.

The Rio Grande KC is also considering having their Junior Classes set up so that Juniors can qualify with points for Westminster.

There is no limit to what you can spend, yet it is easily possible to keep within a set budget.

The main set of bars are the `` tappets '' and one tappet is connected to each lever.

He is a fine-looking colt with a good body, good set of legs and nice way of going.

This one was set up here in 390 A.D. on a pedestal, the faces of which are carved with statues of the emperor and his family watching games in the Hippodrome, done so realistically that the obelisk itself is included in them.

There is even one set that has `` barbecue '' written on it.

When each number of successes X is paired with its probability of occurrence Af, the set of pairs Af, is a probability function called a binomial distribution.

The set of all binomial distributions is called the family of binomial distributions, but in general discussions this expression is often shortened to `` the binomial distribution '', or even `` the binomial '' when the context is clear.

The set of all decisions is called the operating policy or, more simply, the policy.

By the 27th century BC Egyptian writing had a set of some 24 hieroglyphs which are called uniliterals, to represent syllables that begin with a single consonant of their language, plus a vowel ( or no vowel ) to be supplied by the native speaker.

The lawyer if called upon would be able to present independent and more detailed evidence to prove the facts set forth in his affidavit.

In class theories such as Von Neumann – Bernays – Gödel set theory and Morse – Kelley set theory, there is a possible axiom called the axiom of global choice which is stronger than the axiom of choice for sets because it also applies to proper classes.

* Factor analysis – a method to construct models describing a data set of observed variables in terms of a smaller set of unobserved variables ( called factors )

The set of all automorphisms of an object forms a group, called the automorphism group.

The Liberal Party set out to change that by a policy it called " populism.

The set of orbitals associated with a particular value of are sometimes collectively called a subshell.

Formally, a binary operation on a set S is called associative if it satisfies the associative law:

He called this new policy novæ institutiones in his deeds, and he declared that " Nothing can set bounds to generosity of the Royal Majesty, and the best measure of grants, for a monarch, is immeasurableness ".

This is the position set out by the anti-democratic pamphlet known whose anonymous author is often called the Old Oligarch.

Model theory generalizes the notion of algebraic extension to arbitrary theories: an embedding of M into N is called an algebraic extension if for every x in N there is a formula p with parameters in M, such that p ( x ) is true and the set

This set can be called the regular and semiregular honeycombs.

John Patrick Shanley's " Savage in Limbo " is set in a 1980s Bronx bar called ' Scales ' where the frustrated characters feel they are unable to move.

A resistance movement called Otechestven front ( Fatherland front, Bulgarian: Отечествен фронт ) was set up in August 1942 by the Communist Party, the Zveno movement and a number of other parties to oppose the elected government, after a number of Allied victories indicated that the Axis might lose the War.

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.

In mathematics, a binary operation on a set is a calculation involving two elements of the set ( called operands ) and producing another element of the set ( more formally, an operation whose arity is two ).