If your side has two aces and a void, then you are not at risk of losing the first two tricks, so long as ( a ) your void is useful ( i. e., does not duplicate the function of an ace that your side holds ) and ( b ) you are not vulnerable to the loss of the first two tricks in the fourth suit ( because, for instance, one of the partnership hands holds a singleton in that suit or the protected king, giving your side second round control ).

For example, the real line equipped with the discrete topology is closed and bounded but not compact, as the collection of all singleton points of the space is an open cover which admits no finite subcover.

If the condition only holds for all singleton subsets of R, then the ring is a right Rickart ring.

The notation is used, because it is the factor ring of by the ideal containing all integers divisible by n, where is the singleton set.

Set theoretically this means that an elementary event is a singleton.

An event, however, is any subset of the sample space, including any singleton set ( an elementary event ), the empty set ( an impossible event, with probability zero ) and the sample space itself ( a certain event, with probability one ).

If the negated query can be refuted, i. e., an instantiation for all free variables is found that makes the union of clauses and the singleton set consisting of the negated query false, it follows that the original query, with the found instantiation applied, is a logical consequence of the program.

:* is a singleton set and

Every singleton is a terminal object, with the functions mapping all elements of the source sets to the single target element as morphisms.

If all factory objects are stored globally in a singleton object, and all client code goes through the singleton to access the proper factory for object creation, then changing factories is as easy as changing the singleton object.

All LTC methods are only valid if trump fit ( 4-4, 5-3 or better ) is evident and, even then, care is required to avoid counting double values in the same suit e. g. KQxx ( 1 loser in LTC ) opposite a singleton x ( also 1 loser in LTC ).

In all abelian groups every conjugacy class is a set containing one element ( singleton set ).

The map m is the group operation, the map e ( whose domain is a singleton ) picks out the identity element of the group, and the map inv assigns to every group element its inverse.

( If X is a countable complete metric space with no isolated points, then each singleton

In particular, each singleton is an open set in the discrete topology.

* The empty set is the unique initial object in the category of sets ; every one-element set ( singleton ) is a terminal object in this category ; there are no zero objects.

`` 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.

There is some reason to think that thyroglobulin synthesis may proceed independently of iodination, for in certain transplantable tumours of the rat thyroid containing essentially no iodinated thyroglobulin, a protein that appears to be thyroglobulin has been observed in ultracentrifuge experiments ( Wolff, Robbins and Rall, 1959 ).

The 160-ml. bath containing the calculated amount of detergent is applied slowly and directly to the running specimen.

There are several UNESCO World Heritage Sites in Algeria including Al Qal ' a of Beni Hammad, the first capital of the Hammadid empire ; Tipasa, a Phoenician and later Roman town ; and Djémila and Timgad, both Roman ruins ; M ' Zab Valley, a limestone valley containing a large urbanized oasis ; also the Casbah of Algiers is an important citadel.

The egg of an amphibian is typically surrounded by a transparent gelatinous covering secreted by the oviducts and containing mucoproteins and mucopolysaccharides.

Informally put, the axiom of choice says that given any collection of bins, each containing at least one object, it is possible to make a selection of exactly one object from each bin.

In that case it is equivalent to saying that if we have several ( a finite number of ) boxes, each containing at least one item, then we can choose exactly one item from each box.

The former is equivalent in ZF to the existence of an ultrafilter containing each given filter, proved by Tarski in 1930.

An atom containing an equal number of protons and electrons is electrically neutral, otherwise it has a positive charge if there are fewer electrons ( electron deficiency ) or negative charge if there are more electrons ( electron excess ).

It is now used to refer to any island group or, sometimes, to a sea containing a large number of scattered islands such as the Aegean Sea.

:" The proudest possession of Lord Darnley is an earthenware urn containing the ashes which were presented to him by Melbourne residents when he captained the Englishmen in 1882.

A label containing a six line verse is pasted on the urn.

In fact, it is the smallest algebraically closed field containing the rationals, and is therefore called the algebraic closure of the rationals.

In this respect, all of the various forms of an alloy containing only two constituents, like iron and carbon, is called a binary system, while all of the alloy combinations possible with a ternary alloy, such as alloys of iron, carbon and chromium, is called a ternary system.

Proline is the only proteinogenic amino acid whose side-group links to the α-amino group and, thus, is also the only proteinogenic amino acid containing a secondary amine at this position.

Most of the helium produced on Earth ( approximately 99 % of it ) is the result of the alpha decay of underground deposits of minerals containing uranium or thorium.

The observations show that the cloud is asymmetrical and matches the pattern of X-ray binaries ( binary star systems containing black holes or neutron stars ), mostly on one side of the galactic center.

While entrance to the Park is free, Gaudí's house, " la Torre Rosa ," — containing furniture that he designed — can be only visited for an entrance fee.

Within an expression containing two or more occurrences in a row of the same associative operator, the order in which the operations are performed does not matter as long as the sequence of the operands is not changed.

The evaluation order does not affect the value of such expressions, and it can be shown that the same holds for expressions containing any number of operations .< ref > Thus, when is associative, the evaluation order can be left unspecified without causing ambiguity, by omitting the parentheses and writing simply:

In the formation of an ordinary agate, it is probable that waters containing silica in solution — derived, perhaps, from the decomposition of some of the silicates in the lava itself — percolated through the rock and deposited a siliceous coating on the interior of the vapour-vesicles.

Aloe, also Aloë, is a genus containing about 500 species of flowering succulent plants.

The first universally accepted inscription containing the use of the 0 glyph is first recorded in the 9th century, in an inscription at Gwalior in Central India dated to 870.