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For and complete
-- For calves, feed not less than 50 grams of Aureomycin per ton complete feed as an aid in preventing bacterial diarrhea and foot rot.
For the use of students and future restorers, a full, day-by-day record was kept of all three undertakings, complete technical reports on what we found and what we did.
For the Lo Shu square was a remarkably complete compendium of most of the chief religious and philosophical ideas of its time.
' For Sufis, this means devotion to others through complete forgetfulness of one's own concerns.
For example, automated DNA sequencing machines were the basis to complete human genome projects leading to the birth of genomics.
For comparison, the equator of the Sun requires just over 25 days for a complete rotation.
For instance, Jim Devlin in 1876 pitched 66 complete games ( 662 innings pitched ) with a 1. 56 ERA but managed to record only five shutouts.
For example, the complete works of Shakespeare, about 1250 pages in print, can be stored in about five megabytes ( forty million bits ) with one byte per character.
( For complete listing, please go to Redcross. org )
For instance, severe hypoglycemia ( low blood sugar ) or hypercapnia ( increased carbon dioxide levels in the blood ) initially cause mild agitation and confusion, but progress to obtundation, stupor and finally complete unconsciousness.
For complete metric spaces this is equivalent to compactness.
For 3D animations, all frames must be rendered after modeling is complete.
For the 2006 Census of Canada, respondents were able, for the first time, to choose to complete their census questionnaire online.
For the 2006 Census of New Zealand, respondents could choose to complete their census questionnaire online.
For larger-scale enterprises, a complete and detailed plan is required to obtain the funding, resources, and company-wide support that can make the initiative of choosing and implementing a system successful.
For instance, the set of rational numbers is not complete, because e. g. is " missing " from it, even though one can construct a Cauchy sequence of rational numbers that converges to it.
For any metric space M, one can construct a complete metric space M ' ( which is also denoted as ), which contains M as a dense subspace.
For Scotland he used different arguments, even the opposite of those he used in England, for example, usually ignoring the English doctrine of the Sovereignty of Parliament, telling the Scots that they could have complete confidence in the guarantees in the Treaty.
For agent does not have complete control over what chance images and other thoughts enter his mind or influence his deliberation.
For example, if we form a complete notion of Moses, and superadd to that notion the claim that Moses existed, we are not adding anything to the notion of Moses.
For this reason Munch's pictures are as a rule " not complete ", as people are so delighted to discover for themselves.
For example, some references, and Wolfram's Mathematica software, define the complete elliptic integral of the first kind in terms of the parameter m, instead of the elliptic modulus k.
For example, the strongest evidence for therapeutic interventions is provided by systematic review of randomized, triple-blind, placebo-controlled trials with allocation concealment and complete follow-up involving a homogeneous patient population and medical condition.
: For a complete list of the first ladies, see List of First Ladies of the United States
Limit functor: For a fixed index category J, if every functor J → C has a limit ( for instance if C is complete ), then the limit functor C < sup > J </ sup >→ C assigns to each functor its limit.

For and proof
For the frequent case of propositional logic, the problem is decidable but Co-NP-complete, and hence only exponential-time algorithms are believed to exist for general proof tasks.
For the proof of the equivalence of the four approaches the reader is referred to mathematical expositions like or.
( For groups of low 2-rank the proof of this breaks down, because theorems such as the signalizer functor theorem only work for groups with elementary abelian subgroups of rank at least 3.
For all his successes, the nature of his proof stirred up more trouble than Hilbert could have imagined at the time.
For example, the proof that the column rank of a matrix over a field equals its row rank yields for matrices over division rings only that the left column rank equals its right row rank: it does not make sense to speak about the rank of a matrix over a division ring.
For the developers, Freeciv 1. 0 was a successful proof of concept, but a rather boring game, so they went back to XPilot.
For years the statue had been used by historians as proof of Hadrian's love of Hellenic culture.
Others have independently come to the same conclusion, and publication of independent analyses may be forthcoming [...] For scientists to label sight reports and questionable photographs as ' proof ' of such an extraordinary record is delving into ' faith-based ' ornithology and doing a disservice to science.
For example, the old instructions on burden of proof in civil cases read:
( For a proof and an interactive simulation see reference below, Algorithm for Computing the LCM.
For libertarians, that diversity of practice within a framework of common principles is proof of the vitality of those principles and of their flexibility and strength.
For example, Russell's paradox suggests a proof that the class of all sets which do not contain themselves is proper, and the Burali-Forti paradox suggests that the class of all ordinal numbers is proper.
( For example, the Coq proof assistant system features a tactic for Presburger arithmetic.
For other examples, see proof that the square root of 2 is not rational and Cantor's diagonal argument.
For instance, one report from Burma stated that red pandas were still fairly common in some areas, and was accompanied by a photograph of a " red panda " as proof.
For example, in an axiomatic system, proof of soundness amounts to verifying the validity of the axioms and that the rules of inference preserve validity ( or the weaker property, truth ).
For contemporary Marxists, the existence of persistent unemployment is proof of the inability of capitalism to ensure full employment.
For the first three years of clad production, in lieu of proof sets, specimen sets were specially sold as " Special Mint Sets " minted at the San Francisco mint in 1965, 1966, and 1967 ( Deep Cameo versions of these spectacular coins are highly valued because of their rarity ).
For man, and especially the Proficient, is not the Couplement of Soul and body: the proof is that man can be disengaged from the body and disdain its nominal goods .” ( Enneads I. 4. 14 ) The human who has achieved happiness will not be bothered by sickness, discomfort, etc., as his focus is on the greatest things.
For a proof of that, let's imagine two paths 1 and 2, both going from point A to point B.
For his part, Ernst Zermelo in his ( 1908 ) A new proof of the possibility of a well-ordering ( published at the same time he published " the first axiomatic set theory ") laid claim to prior discovery of the antinomy in Cantor's naive set theory.
For example, the credit card network does not require a personal identification number for authentication of the claimed identity ; and a small transaction usually does not even require a signature of the authenticated person for proof of authorization of the transaction.
For example, Euclid provides an elaborate proof of the Pythagorean theorem, by using addition of areas instead of the much simpler proof from similar triangles, which relies on ratios of line segments.

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