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Page "Tychonoff's theorem" ¶ 6
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is and almost
It took thirty of our women almost six moons to build this one, which is higher and stronger than the old one.
It is almost time for and calinda to begin ''.
Everyone is ready to grant the Persians their history, but almost no one is willing to acknowledge their present.
It is interesting, however, that despite this strong upsurge in Southern writing, almost none of the writers has forsaken the firmly entrenched concept of the white-suited big-daddy colonel sipping a mint julep as he silently recounts the revenue from the season's cotton and tobacco crops ; ;
The fact is that the Southern Confederacy differed from the earlier one almost as much as the Federal Constitution did.
This almost trivial example is nevertheless suggestive, for there are some elements in common between the antique fear that the days would get shorter and shorter and our present fear of war.
The street that is full now of traffic and parked cars then and for many years drowsed on an August afternoon in the shade of the curbside trees, and silence was a weight, almost palpable, in the air.
The trouble here is that it's almost too easy to take the high moral ground when it doesn't cost you anything.
On the one hand, he does not work for a large agency, but is almost always self-employed.
This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.
and almost the only `` cure '' is early detection and removal.
Then he would get to his feet, as though rising in honor of his own remarkable powers, and say almost invariably, `` Gentlemen, this is an amazing story!!
Probably the most important thing to focus on is not the development of conscience, which may well be almost beyond the reach of literature, but the contents of conscience, the code which is imparted to the developed or immature conscience available.
Men seem almost universally to want a sense of function, that is, a feeling that their existence makes a difference to someone, living or unborn, close and immediate or generalized.
Again, Henley's attitude of defiance which colors his ideal of self-mastery is far from characteristic of a Stoic thinker like Marcus Aurelius, whose gentle acquiescence is almost Christian, comparable to the patience expressed in Milton's sonnet on his own blindness.
Master Gorton, having foully abused high and low at Aquidneck is now bewitching and bemaddening poor Providence, both with his unclean and foul censures of all the ministers of this country ( for which myself have in Christ's name withstood him ), and also denying all visible and external ordinances in depth of Familism: almost all suck in his poison, as at first they did at Aquidneck.
It is no longer possible to say that a sceptical attitude towards the received accounts of the invasions almost automatically produces a `` shore occupied by '' interpretation.
The chancellor of the Exchequer wrote on the petition: `` in myn opinion it is very resonable and conscionable for hir maiestie to graunt in relief of this towne twise afflicted and almost wasted by fire ''.
the prolusion in which the autobiographic statement about the epithet occurs is such a mass of intentionally buried allusions that almost nothing in it can be accepted as true -- or discarded as false.
His first book, Before The Brave ( 1936 ), is a collection of poems that are almost all Communistic, but after publication of this book he rejected Communism, and advocated a pacifistic anarchy, though retaining his revolutionary idiom.
Many of these aspects will be seen as comparable to those of the ideal detective, but where the detective is active and militant, the jazz musician is passive, almost a victim of society.

is and trivial
his end is ridiculous and trivial.
We hold safe little jobs illustrating tooth-paste ads or the salacious incidents in trivial novels, and most of our easel painting is nothing but picking the fluff out of the navel so it can be contemplated in greater purity.
a treatment effect is then trivial, " the effect of any treatment is
The identity morphism ( identity mapping ) is called the trivial automorphism in some contexts.
For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.
This is not always the case: the trivial equation x = x specifies the entire plane, and the equation x < sup > 2 </ sup > + y < sup > 2 </ sup > = 0 specifies only the single point ( 0, 0 ).
The trivial solution that being is being added to nothing is only a tautology: being is being.
In the views emerging from the mind-body dichotomy, the body is considered in behavior and therefore considered as little valued and trivial in comparison to mind, spirit or soul.
Moreover ( and more embarrassingly, although this is essentially trivial ), mathematicians usually write the dual entity not at the first place, as the physicists do, but at the second one, and they don't use the *- symbol, but an overline ( which the physicists reserve to averages ) to denote conjugate-complex numbers, i. e. for scalar products mathematicians usually write
As an algebra, a unital commutative Banach algebra is semisimple ( i. e., its Jacobson radical is zero ) if and only if its Gelfand representation has trivial kernel.
) to trivial ( romance, games ) can be any kind of imaginative encoding: flowers, game cards, clothes, fans, hats, melodies, birds, etc., in which the sole requisite is the previous agreement of the meaning by both the sender and the receiver.
The calculation of the Roulette house edge was a trivial exercise ; for other games, this is not usually the case.
Slightly more generally, any space with a finite topology ( only finitely many open sets ) is compact ; this includes in particular the trivial topology.
* The spectrum of any commutative ring with the Zariski topology ( that is, the set of all prime ideals ) is compact, but never Hausdorff ( except in trivial cases ).
However, the falling price of microprocessors is making the actual implementation of a control system essentially trivial.
Kierkegaard argues that the cogito already pre-supposes the existence of " I ", and therefore concluding with existence is logically trivial.
They are given when the plaintiff's suit is trivial, used only to settle a point of honour or law.

is and prove
Therefore, what we must prove or disprove is that there were Saxons, in the broad sense in which we must construe the word, in the area of the Saxon Shore at the time it was called the Saxon Shore.
Today the recreational boating scene is awash with heartening statistics which prove the enormous growth of that sport.
It is possible that especially large anacondas will prove to belong to subspecies limited to a small area.
The theorem which we prove is more general than what we have described, since it works with the primary decomposition of the minimal polynomial, whether or not the primes which enter are all of first degree.
-- On the basis of a differentiability assumption in function space, it is possible to prove that, for materials having the property that the stress is given by a functional of the history of the deformation gradients, the classical theory of infinitesimal viscoelasticity is valid when the deformation has been infinitesimal for all times in the past.
What determines the morality, they state, is not the means used, but the motive In general, the means ( excluding abortion ) that prove most effective are considered the most ethical.
Action located where the evil is concentrated will prove most decisive and is most clearly legitimate.
This increase in the `` threshold '', as the conventional forces strengthening is called, will prove one of the alliance's most difficult problems in the months to come.
More than 300 teenagers last Sunday proved there is and as many more are expected to prove it again for Jim Kern and his wife Lynn from 4 to 8 p.m. Sunday at First Presbyterian Church.
In searching for clues which might lead us to a fresh apprehension of the reality of spirit, the close connection between spirit and community is likely to prove the most fruitful.
Instead -- and not just to prove my objectivity -- I hasten to report that it's a highly amusing film which probably does a fairly accurate job of reporting on the Easter vacation shenanigans of collegians down in Fort Lauderdale, and that it seems to come to grips quite honestly with the moral problem that most commonly vexes youngsters in this age group -- that is to say, sex.
But chains of movements are not necessarily communicative, and it is in the realm of communication that the works prove disappointing.
`` You're working up to something, and if you don't watch out you'll ruin your whole life one of these days just to prove that the Abernathy family is superior to everything, even a depression ''.
`` The only thing that worries me is how I'm going to prove it '', Eugenia said.
In order for the appeal to succeed, the appellant must prove that the lower court committed reversible error, that is, an impermissible action by the court acted to cause a result that was unjust, and which would not have resulted had the court acted properly.
If a defendant has been convicted and can prove that his lawyer did not adequately handle his case and that there is a reasonable probability that the result of the trial would have been different had the lawyer given competent representation, he is entitled to a new trial.
Chaitin prefaces his definition with: " I'll show you can't prove that a program is ' elegant '"— such a proof would solve the Halting problem ( ibid ).
" In general, it is impossible to prove that F exists without the axiom of choice, but this seems to have gone unnoticed until Zermelo.
It is possible to prove many theorems using neither the axiom of choice nor its negation ; such statements will be true in any model of Zermelo – Fraenkel set theory ( ZF ), regardless of the truth or falsity of the axiom of choice in that particular model.
For example, the Banach – Tarski paradox is neither provable nor disprovable from ZF alone: it is impossible to construct the required decomposition of the unit ball in ZF, but also impossible to prove there is no such decomposition.

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