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That is, for all g: F ( X ) → Y there exists a unique f: X → G ( Y ) for which the following diagrams commute.
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is and for
It is possible, although highly doubtful, that he killed none at all but merely let his reputation work for him by privately claiming every unsolved murder in the state.
( The best evidence is that he received a monthly wage of about $125, very good money in an era when top hands worked for $30 and found.
this is not so, for education offers all kinds of dividends, including how to pull the wool over a husband's eyes while you are having an affair with his wife.
`` What is the scaffolding for, Brassnose ''??
He speaks your language too, for he is the grandson of a chieftain on Taui who made much magic and was strong and cunning.
This is a paradise for hunters.
`` And if the dive goes OK he has the exclusive import rights to your line for this country, is that right ''??
There is nothing for you '', Matsuo said.
It is almost time for and calinda to begin ''.
I want the room in the attic prepared for him He is a most unusual lad, quite precocious in many ways.
-- liberal considers that the need for a national economy with controls that will assure his conception of social justice is so great that individual and local liberties as well as democratic processes may have to yield before it.
In fact it has caused us to give serious thought to moving our residence south, because it is not easy for the most objective Southerner to sit calmly by when his host is telling a roomful of people that the only way to deal with Southerners who oppose integration is to send in troops and shoot the bastards down.
but for this discussion the most important division is between those who have been reconstructed and those who haven't.
Had the situation been reversed, had, for instance, England been the enemy in 1898 because of issues of concern chiefly to New England, there is little doubt that large numbers of Southerners would have happily put on their old Confederate uniforms to fight as allies of Britain.
Of greater importance, however, is the content of those programs, which have had and are having enormous consequences for the American people.
The general acceptance of the idea of governmental ( i.e., societal ) responsibility for the economic well-being of the American people is surely one of the two most significant watersheds in American constitutional history.
Reduced to its simplest terms, it is an assumption of a collective duty to compensate for the inability of individuals to cope with the rigors of the era.
National responsibility for individual welfare is a concept not limited to the United States or even to the Western nations.
For better or for worse, we all now live in welfare states, the organizing principle of which is collective responsibility for individual well-being.
( Since the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity, it is perhaps natural for Americans to think of the nation as representative of the highest form of order, something permanent and unchanging.
There is little time for the men in the command centers to reflect about the implications of these clocks.
Only recently new `` holes '' were discovered in our safety measures, and a search is now on for more.
is and all
That's really all he's got, all he is.
Ballet dancer: Protests, tears, and `` take what you want, Nicolas, I am a dancer, you are a poet, it is all beautiful ''.
And all the time, she had the heat of hatred in her, like charcoal that is burning on its under side, but not visibly.
`` That tub is going to explode all at once ''.
With all respect to a fine young man, Mr. Roy is not able to provide these necessaries ''.
The enormous changes in world politics have, however, thrown it into confusion, so much so that it is safe to say that all international law is now in need of reexamination and clarification in light of the social conditions of the present era.
Already accidental war is a silent guest at the discussions within the Kennedy Administration about the urgency of disarmament and nearly all other questions of national security.
Work is under way to see whether new restraining devices should be installed on all nuclear weapons.
The stink is all the same to me, but I really think they can make one another out blindfolded ''.
Poetry in Persian life is far more than a common ground on which -- in a society deeply fissured by antagonisms -- all may stand.
Each mode is believed to have a specific attribute -- one inducing pleasure, another generosity, another love, and so on, to include all of the emotions.
`` As my wife puts it '', he said, again with a twinkle in his eyes, `` all you know is your music.
`` I have just come from viewing a man who had made the fortune of his country, but now is working all night in order to support his family '', he reflected.
Westbrook further bemoans the Southern writers' creation of an unreal image of their homeland, which is too readily assimilated by both foreign readers and visiting Yankees: `` Our northerner is suspicious of all this crass evidence ( of urbanization ) presented to his senses.
To my knowledge, Lincoln remains the only Head of State and Commander-in-Chief who, while fighting a fearful war whose issue was in doubt, proved man enough to say this publicly -- to give his foe the benefit of the fact that in all human truth there is some error, and in all our error, some truth.
Lucretius has remarked: `` The reason why all Mortals are so gripped by fear is that they see all sorts of things happening in the earth and sky with no discernable cause, and these they attribute to the will of God ''.
Often it is recognized that all the details of the pattern may not be essential to the outcome but, because the pattern was empirically determined and not developed through theoretical understanding, one is never quite certain which behavior elements are effective, and the whole pattern becomes ritualized.
is and g
A very fine, gray solid ( about 15 g ) is formed, water-washed by centrifugation, and dried at 110-degrees-C ).
Altruism is a motivation to provide something of value to a party who must be anyone but oneself, while duty focuses on a moral obligation towards a specific individual ( e. g., a god, a king ), or collective ( e. g., a government ).
* One-way ANOVA is used to test for differences among two or more independent groups ( means ), e. g. different levels of urea application in a crop.
* Repeated measures ANOVA is used when the same subjects are used for each treatment ( e. g., in a longitudinal study ).
The number of carbon atoms is used to define the size of the alkane ( e. g., C < sub > 2 </ sub >- alkane ).
A relatively recent role for amateur astronomers is searching for overlooked phenomena ( e. g., Kreutz Sungrazers ) in the vast libraries of digital images and other data captured by Earth and space based observatories, much of which is available over the Internet.
The process terminates when ( the contents of ) B is 0, yielding the g. c. d.
He thought that certain uses of the verb " to be ", called the " is of identity " and the " is of predication ", were faulty in structure, e. g., a statement such as, " Elizabeth is a fool " ( said of a person named " Elizabeth " who has done something that we regard as foolish ).
For example, " aloin " is derived from Aloe vera and Aloe ferox and has important medical uses ( e. g. as a laxative and in the treatment of burns ) as well as cosmetic uses ( e. g. in skin and hair products ).
An abscess () is a collection of pus ( dead neutrophils ) that has accumulated in a cavity formed by the tissue in which the pus resides due to an infectious process ( usually caused by bacteria or parasites ) or other foreign materials ( e. g., splinters, bullet wounds, or injecting needles ).
Surgical drainage of the abscess ( e. g., lancing ) is usually indicated once the abscess has developed from a harder serous inflammation to a softer pus stage.
One benefit is that the statistical moment calculations can be carried out to arbitrary accuracy such that the computations can be tuned to the precision of, e. g., the data storage format or the original measurement hardware.
At 2. 5 troy oz ( 78 g ) gold, this is the largest ( by weight ) coin ever produced by the U. S. Mint.
He is reputed to have observed that when the lengths of vibrating strings are expressible as ratios of integers ( e. g. 2 to 3, 3 to 4 ), the tones produced will be harmonious.
In fluorescence spectroscopy, the fluorescence anisotropy, calculated from the polarization properties of fluorescence from samples excited with plane-polarized light, is used, e. g., to determine the shape of a macromolecule.
Averaging at least 1. 6 km thick, the ice is so massive that it has depressed the continental bedrock in some areas more than 2. 5 km below sea level ; subglacial lakes of liquid water also occur ( e. g., Lake Vostok ).
One method of accomplishing this moor is to set a bow anchor normally, then drop back to the limit of the bow cable ( or to double the desired scope, e. g. 8: 1 if the eventual scope should be 4: 1, 10: 1 if the eventual scope should be 5: 1, etc.
Adiabatic heating occurs when the pressure of a gas is increased from work done on it by its surroundings, e. g. a piston.
Mitochondrial DNA haplogroup Y is otherwise found mainly among Nivkhs, and with lower frequency among Tungusic peoples, Koreans, Mongols ( including Kalmyks and Buryats ), Chinese, Japanese, Central Asians, South Siberian Turkic peoples ( e. g. Tuvans, Todjins, Soyots ), Koryaks, Alyutors, Itelmens, Taiwanese aborigines, Filipinos, Indonesians, and Malaysians.
The length of the description is just the length of P as a character string, multiplied by the number of bits in a character ( e. g. 7 for ASCII ).
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