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But it turns out that ( if A is " nice " enough ) there is one canonical way of doing so, given by the right derived functors of F. For every i ≥ 1, there is a functor R < sup > i </ sup > F: A → B, and the above sequence continues like so: 0 → F ( A ) → F ( B ) → F ( C ) → R < sup > 1 </ sup > F ( A ) → R < sup > 1 </ sup > F ( B ) → R < sup > 1 </ sup > F ( C ) → R < sup > 2 </ sup > F ( A ) → R < sup > 2 </ sup > F ( B ) → ....
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turns and out
They may even enroll a colored student or two for show, though he usually turns out to be from Thailand, or any place other than the American South.
but when the bird is found at last, it turns out to be a fake.
Precisely at the moment when it has lost its vision the mind of the community turns out from itself in a search for the ontological standard whereby it can measure itself.
As Yinger has pointed out, the `` reliance on symbols, on tradition, on sacred writings, on the cultivation of emotional feelings of identity and harmony with sacred values, turns one to the past far more than to the future ''.
The result of this attitude has been the domination of many orthography conferences by such considerations as typographic ' esthetics ', which usually turns out to be nothing more than certain prejudices carried over from European languages.
The actual surface becomes both ground and background, and it turns out -- suddenly and paradoxically -- that the only place left for a three-dimensional illusion is in front of, upon, the surface.
`` The trouble, '' explained Loy Henderson, then Deputy Undersecretary for Administration, `` is that when we get into an argument with him about this thing, it always turns out that Rooney knows more about our budget than we do ''.
Now, if Morton's newest product, a corn chip known as Chip-o's, turns out to sell as well as its stock did, the stock may turn out to be worth every cent of the prices that the avid buyers bid it up to.
The cleaner equipment firm began operations in 1953 and the unit system, which turns out a complete ginning system, began operations in 1959.
Actually, however, this turns out to be only part of the picture.
This is when his troubles begin, not to mention a fledgling artist who he hires, and who turns out to have ideas of his own, with particular respect to the hero's sweetheart-secretary.
What might have been only warmed-over topical journalism turns out to be an eyewitness contribution to history.
" The problem then becomes that of constructing a well-ordering, which turns out to require the axiom of choice for its existence ; every set can be well-ordered if and only if the axiom of choice holds.
Twice, the murderer surprisingly turns out to be the unreliable narrator of the story.
It turns out that a more suitable quantity for updating is the sum of squares of differences from the ( current ) mean,, here denoted:
Dürer's belief in the abilities of a single artist over inspiration prompted him to assert that " one man may sketch something with his pen on half a sheet of paper in one day, or may cut it into a tiny piece of wood with his little iron, and it turns out to be better and more artistic than another's work at which its author labours with the utmost diligence for a whole year.
The system of having two rectors was found to lead to frequent quarrels and the republic thenceforth sent out a single official styled Bailie and Captain, assisted by two councilors, who performed the duties of camerlengo by turns.
As it turns out, even the historians and expert researchers have been fooled and forced to reassess their conclusions over “ Cup ’ s ” paintings over the years.
For a system of point particles without any intrinsic angular momentum ( see below ), it turns out to be
Unfortunately, it turns out that Miles Gloriosus has just returned from Crete, where there is of course no actual plague.
The percentage of fluent speakers turns out to be even higher if those under 16 are also taken into account, given that the proportion of bilinguals is particularly high in this age group ( 76. 7 % of those aged between 10 and 14 and 72. 4 % of those aged 5 – 9 ): 37. 5 % of the population aged 6 and above in the whole Basque Autonomous Community, 25. 0 % in Álava, 31. 3 % in Biscay and 53. 3 % in Gipuzkoa.
Players on the batting team take turns hitting against the pitcher of the fielding team, which tries to stop them from scoring runs by getting hitters out in any of several ways.
It turned out that the Cubs and Giants ended the season tied for first place, so the game was indeed replayed, and the Cubs won the game, the pennant, and subsequently the World Series ( the last Cubs Series victory to date, as it turns out ).
turns and if
It is invoked after the recitation or singing of the Canticles, and it is the only part of the services in which the congregation traditionally turns to face the altar, if they are seated transversely in the quire.
The Spirit of Christmas shows Blackadder the contrary antics of his ancestors and descendants, and reluctantly informs him that if he turns evil his descendants will enjoy power and fortune, while if he remains the same a future Blackadder will live shamefully subjugated to a future incompetent Baldrick.
Neither is it sure how many times it has happened if it turns out to be the case.
Especially if one deals with multiple commutators, another notation turns out to be useful involving the adjoint representation:
the dancer turns right and reenters the line by the same shoulder ; vice versa if the last pass was to the left.
It turns out that this functor cannot distinguish maps which are homotopic relative to the base point: if f and g: X → Y are continuous maps with f ( x < sub > 0 </ sub >)
Each turn of the coil is at a slightly different potential, so the electric field between neighboring turns stores charge on the wire, so the coil acts as if it has a capacitor in parallel with it.
The answer to this question turned out to be negative: in 1952, Gleason, Montgomery and Zippin showed that if G is a topological manifold with continuous group operations, then there exists exactly one analytic structure on G which turns it into a Lie group ( see also Hilbert – Smith conjecture ).
The ball turns away from the batsman, as if the bowler were an orthodox left-arm spinner.
Usually each ovary takes turns releasing eggs every month ; however, if there was a case where one ovary was absent or dysfunctional then the other ovary would continue providing eggs to be released.
From this the sum of the interior angles can be easily confirmed, even if some interior angles are more than 180 °: going clockwise around, it means that one sometime turns left instead of right, which is counted as turning a negative amount.
: Jeremiah 18: 7-10 " The instant I speak concerning a nation, to pluck up, to pull down, and to destroy it, if that nation against whom I have spoken turns from its evil, I will relent of the disaster that I thought to bring upon it.
" After typing PASSWORD, the system turns off the printing mechanism, if possible, so that the user may type in his password with privacy.
For instance, the naturally occurring citric and ascorbic acids in lemon or other citrus juice can inhibit the action of the enzyme phenolase which turns surfaces of cut apples and potatoes brown if a small amount of the juice is applied to the freshly cut produce.
It turns out that the crucial property that a subalgebra must satisfy is that it separates points: a set A of functions defined on X is said to separate points if, for every two different points x and y in X there exists a function p in A with p ( x ) not equal to p ( y ).
That is, two free polyominos are the same if there is a combination of translations, rotations, and reflections that turns one into the other.
To take an extreme example, if a program design turns out to be impossible to implement, it is easier to fix the design at the design stage than to realize months later, when program components are being integrated, that all the work done so far has to be scrapped because of a broken design.
Though the fisherman's knot is associated with fishing, it can slip when tied in nylon monofilament and other slippery lines ; however, if more holding strength is required, the overhand knots can be made with more turns, as in the double fisherman's knot, and so on.
However, he does know on Monday, that if the hangman as it turns out knocks on his door on Friday, he will have already have expected that ( and been alive to do so ) since Thursday night-and thus, if the hanging occurs on Friday then it will certainly have ceased to be a surprise at some point in the interim period between Monday and Friday.
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