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Page "Initial and terminal objects" ¶ 6
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singletons and are
:* Any subset of the identity relation on X has equivalence classes that are the singletons of X.
However, this includes the ( one ) empty set, and N singletons, which are not properly subgroups.
Among non-twin births, male singletons are slightly ( about five percent ) more common than female singletons.
51 % of twins and 91 % of triplets are born preterm, compared to 9. 4 % in singletons.
14 % of twins and 41 % of triplets are even born very preterm, compared to 1. 7 % in singletons.
Some evidence indicates that only 1. 10 % of singletons are born with a very low birth weight and 10. 12 % twins and 31. 88 % triplets were found to be born with very low birth weight.
Though multiples are at a greater risk of being stillborn, there is inconclusive evidence whether the actual mortality rate is higher in multiples than in singletons.
The 1500 and 1700 series cars could operate as singletons, but in practice, are always operated as mated pairs.
Reduction of triplets to a singleton has a higher loss rate ( 7 versus 4. 5 %) but lower morbidity, yet both resultant twins or singletons are much less risky than attempting to carry the triplets ( 15 %).
Indeed, a substantial fraction of the species sampled are singletons, that is, species which are sufficiently rare for only a single individual to have been sampled.
It was recently revealed that Mekt was part of a cult on Winath which worships the nature spirit Validus, also known as the Lord of Lightning, as local superstition has it that singletons are the children of Validus.
It is also T < sub > 1 </ sub >, as all singletons are closed.
Atoms in partially ordered sets are abstract generalizations of singletons in set theory.
When agents work alone, and are not members of an agent network, they are termed " singletons ".
The result is that there are three sorts of units in a variable-width encoding: singletons, which consist of a single unit, lead units, which come first in a multiunit sequence, and trail units, which come afterwards in a multiunit sequence.
) Equivalently, a space is T < sub > 1 </ sub > if all its singletons are closed.
# The closure of singletons are singletons and the closure of the empty set is the empty set.
Once all the cards are dealt, the dealer plays a meld ; one of a singleton, " n " of a kind, a run of 3 or more singletons or a run of " n " of a kind.
In a game of perfect information, the information sets are singletons.
For example, using this definition, singletons implemented by the singleton pattern are formal factories.

singletons and while
It is more common for multiple births to be stillborn, while for singletons the risk is not as high.

singletons and set
Conversely, any surjection between sets determines a partition on its domain, the set of preimages of singletons in the codomain.
20 Partition of a set | partitions of a 6-set have 3 Singleton ( mathematics ) | singletons.
It follows that, like probability, the possibility measure on finite set is determined by its behavior on singletons:

singletons and from
* Note that the space of rational numbers with the usual topology inherited from the reals is not a Baire space, since it is the union of countably many closed sets without interior, the singletons.
* terminal provided that there is exactly one morphism from each object B to A ; e. g., singletons in Set.

singletons and singleton
In a conformal field theory, the only truly massless particles are noninteracting singletons ( see singleton field ).

singletons and is
Thus, a player should use Blackwood only when he can ascertain that the partnership holds at least second-round controls in all suits ( kings or, if a suit fit is found, singletons ).
Cerebral palsy is more common among multiple births than single births, being 2. 3 per 1, 000 survivors in singletons, 13 in twins, and 45 in triplets in North West England.

singletons and unique
However, when the metanalysis tested more specific claims by comparing firstborns against the members of the other groups also occupying the upper performance tier ( i. e., singletons and children with one and only one sibling ), it found that firstborns do not enjoy any advantage over the members of the other groups, suggesting that either a ) firstborns do not enjoy any advantage not also enjoyed by those other groups ' members or at least b ) to whatever extent firstborns do enjoy unique advantages, members of the other upper-tier groups enjoy offsetting advantages not shared by firstborns.

singletons and .
Goren and others would later refine the system to account for hand distribution, as singletons and voids can greatly increase the strength of a hand.
* The discrete topology has the singletons as a base.
The rates for singletons vary slightly by country.
The preterm births also result in multiples tending to have a lower birth weight compared to singletons.
... lists of words peculiar to the Pentateuch or Isaiah, Hebrew singletons, the form of the verb to be in Algerine, Arabic, bardic and cuneiform lettering, Arabisms and Chaldaisms in the New Testament, with vocabularies that imply he was reading Homer, Virgil, Sallust and the Hebrew Old Testament at the same time.

are and initial
These are like the initial ways in which the world forces itself upon the self and thrusts the self into decision and choice.
This aircraft, which was planned for initial operational use about 1965, would be complementary to but likewise competitive with the four strategic ballistic missile systems, all of which are scheduled to become available earlier.
If a human figure or wild life are to be part of the projected final picture, I try to place them in the initial sketch.
While there are many different possibilities for the timing of casework intervention, the experiments recently reported from a variety of traditional settings all point up the importance of an immediate response to the client's initial need for help.
`` An optimal policy has the property that whatever the initial state and initial decision are, the remaining decisions must constitute an optimal policy with respect to the state resulting from the first decision ''.
* In the Cree family, vowels are marked by rotating or flipping the consonants, and final consonants are indicated with either special diacritics or superscript forms of the main initial consonants.
* 1942 – World War II: Battle of Savo Island – Allied naval forces protecting their amphibious forces during the initial stages of the Battle of Guadalcanal are surprised and defeated by an Imperial Japanese Navy cruiser force.
To Arminians, however, both initial salvation and eternal security are " by faith alone "; hence " by faith first to last ".
Our initial conditions are 100, 000 pa of pressure, 1000 cc volume, and 300 K of temperature, so our experimental constant is:
The player or players are dealt an initial two card hand and add the total of their cards.
In a multi-hand, face-up, single deck game, it is possible to establish whether insurance is a good bet simply by observing the other cards on the table after the deal ; even if there are just 2 player hands exposed, and neither of their two initial cards is a ten, then 16 in 47 of the remaining cards are tens, which is larger than 1 in 3, so insurance is a good bet.
( The points are typically recorded by placing in the box an identifying mark of the player, such as an initial ).
In addition, forensic technologies are working on identifying biological agents, their geographical origins and / or their initial son.
The initial aims of the project are: -
The initial symptoms of headache, weakness, and coughing with blood ( hemoptysis ), or vomiting blood ( hematemesis ), are indistinguishable from several other respiratory illnesses.
The American Psychiatric Association ( APA ) guidelines note that, in general, benzodiazepines are well tolerated, and their use for the initial treatment for panic disorder is strongly supported by numerous controlled trials.
After the initial move, the players alternately move one piece at a time ( with the exception of castling, when two pieces are moved ).
In the diagrams, the dots mark the squares where the piece can move if no other pieces ( including one's own piece ) are on the squares between the piece's initial position and its destination.
The current prevalent theories are that the initial arrival of humans to the continent took place either along the Pacific coast southwards in a rather rapid expansion long preceding the Clovis culture, or even trans-Pacific migration.
In practical statistical analysis, the terms are often used before one has chosen even a preliminary form of analysis: thus an initial objective might be to " choose an appropriate measure of central tendency ".
It is convenient to identify a reference configuration or initial condition which all subsequent configurations are referenced from.
The results obtained are independent of the choice of initial time and reference configuration,.

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