[permalink] [id link]
It is more interesting that the converse also holds: Every second countable T4 space is homeomorphic to a subset of the Hilbert cube.
from
Wikipedia
Some Related Sentences
is and more
The sambur buck, the jungle stag that is even more noble than the Scottish elk.
And if he is so scornful of the rights of states, why not advocate a different sort of constitution that he could more sincerely support??
Since the Supreme Court's decision of that year this is more doubtful ; ;
The long-settled areas of states like Virginia and South Carolina developed the ante-bellum culture to its richest flowering, and there the memory is more precious, and the consciousness of loss the greater.
And there is no section of the nation more ardent than the South in the cold war against Communism.
Whether a concept analogous to the principle of internal responsibility operates in a nation's external relations is less obvious and more difficult to establish.
But it is more than that.
While the pattern is uneven, some having gained more than others, nationalism has in fact served the Western peoples well.
But it is more than irony: one of the main reasons why nationalism is no longer a tenable concept is because it has spread throughout the planet.
Only one rule prevailed in my conversations with these men: The more highly placed they are -- that is, the more they know -- the more concerned they have become.
Only recently new `` holes '' were discovered in our safety measures, and a search is now on for more.
Isfahan became more of a legend than a place, and now it is for many people simply a name to which they attach their notions of old Persia and sometimes of the East.
On Fridays, the day when many Persians relax with poetry, talk, and a samovar, people do not, it is true, stream into Chehel Sotun -- a pavilion and garden built by Shah Abbas 2, in the seventeenth century -- but they do retire into hundreds of pavilions throughout the city and up the river valley, which are smaller, more humble copies of the former.
But more important, and the thing which the casual traveler and the blind sojourner often do not see, is that these places and activities are often the settings in which Persians exercise their extraordinary aesthetic sensibilities.
Poetry in Persian life is far more than a common ground on which -- in a society deeply fissured by antagonisms -- all may stand.
Nostalgic Yankee readers of Erskine Caldwell are today informed by proud Georgians that Tobacco Road is buried beneath a four-lane super highway, over which travel each day suburbanite businessmen more concerned with the Dow-Jones average than with the cotton crop.
Truman Capote is still reveling in Southern Gothicism, exaggerating the old Southern legends into something beautiful and grotesque, but as unreal as -- or even more unreal than -- yesterday.
The resulting picture might appear a maze of restless confusions and contradictions, but it is more true to life than a portrait of an artificially contrived order.
So great a man could not but understand, too, that the thing that moves men to sacrifice their lives is not the error of their thought, which their opponents see and attack, but the truth which the latter do not see -- any more than they see the error which mars the truth they themselves defend.
Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.
`` What is more true than anything else??
is and interesting
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 ; ;
But he is more interesting than the others, the ones who come from the highroad to watch him, more interesting than Life considered as a cyclist.
It would be interesting to know how much `` integration '' there is in the famous, fashionable colleges and prep schools of New England.
Another, more interesting explanation, is hinted at by Watson when he observes on several occasions that Holmes would have made a magnificent criminal.
The interesting thing about Mr. Lyford's approach, and the approach of the contributors to The Agreeable Autocracies ( Oceana Publications, 1961 ) to the situation of American civilization, is that it is concerned with comprehending the psychological relationships which are having a decisive effect on American life.
English philosopher Samuel Alexander's debt to Wordsworth and Meredith is a recent interesting example, as also A. N. Whitehead's understanding of the English romantics, chiefly Shelley and Wordsworth.
The interesting thing in this connection is that the norms upon which students tend to converge include toleration of diversity.
`` I mean '', I went on ruthlessly, `` when he's not talking about you or himself or the wonders of love, is he interesting??
This angle of just where the Orioles can look for improvement this year is an interesting one.
What is interesting is that his positive qualifications for the post were revealed only as a kind of tail to his candidacy.
It is interesting to note that the present level of military electronics procurement is greater than the industry's total sales to all markets in 1950-1953, which were good years for our industry with television enjoying its initial period of rapid consumer acceptance.
The easiest way to describe this release is to say that it reproduces an interesting and effective Steinberg performance with minimal alteration of its musical values.
Although the Af calculation is obvious by analogy with that for gravitational field and osmotic pressure, it is interesting to confirm it by a method which can be generalized to include related effects.
This is interesting for it combines both the thermodynamic concept of a minimum Gibbs function for equilibrium and minimum mechanical potential energy for equilibrium.
It is a very interesting fact that these two problems can be handled simultaneously and this is what we shall do in the next chapter.
It is interesting that a 1: 1 correspondence can be established between the lines of two such pencils, so that in a sense a unique image can actually be assigned to each tangent.
It is interesting to note that medium compulsives in the unstructured schools made the lowest achievement scores ( although not significantly lower ).
It is interesting to note that 75 per cent of those who returned the questionnaire identified themselves.
It is interesting to note how many of the plants on Massachusetts' Route 128 draw most of their income either from the government in non-competitive cost-plus arrangements, or from the exploitation of patents which grant at least a partial monopoly.
is and converse
Racial discrimination is wrong, then, not because it goes against the grain of a faculty member trying to converse with a few realtors but because it goes against the grain of creation and against the will of the Creator.
Affirming the consequent, sometimes called converse error, is a formal fallacy, committed by reasoning in the form:
The converse, however, is not true: there are algebraic numbers which cannot be obtained in this manner.
image: Goelbench06390140. JPG | The unique shape of the serpentine bench enables the people sitting on it to converse privately, although the square is large.
The converse is not true however: there are infinite extensions which are algebraic.
The converse holds so long as the characteristic of the base field is not 2.
The converse is not always true ; not every Banach space is a Hilbert space.
Biconditional introduction is the converse of biconditional elimination.
In fact, the converse is also true ; being a Tychonoff space is both necessary and sufficient for possessing a Hausdorff compactification.
If we consider the thesis and its converse as definition, then the hypothesis is an hypothesis about the application of the mathematical theory developed from the definition.
The converse to this observation is that every recurring decimal represents a rational number p / q.
While every computable number is definable, the converse is not true: the numeric representations of the Halting problem, Chaitin's constant, the truth set of first order arithmetic, and 0 < sup >#</ sup > are examples of numbers that are definable but not computable.
The inductor's behaviour is in some regards converse to that of the capacitor: it will freely allow an unchanging current, but opposes a rapidly changing one.
We will now show that the nontrivial converse is also true.
A converse to completeness is soundness, the fact that only logically valid formulas are provable in the deductive system.
A converse to completeness is soundness, the fact that only logically valid formulas are provable in the deductive system.
A good randomizing function is ( barring computational efficiency concerns ) generally a good choice as a hash function, but the converse need not be true.
If continuity is not a given, the converse is not necessarily true.
A simple converse is that if u and v have continuous first partial derivatives and satisfy the Cauchy – Riemann equations, then ƒ is holomorphic.
A more satisfying converse, which is much harder to prove, is the Looman – Menchoff theorem: if ƒ is continuous, u and v have first partial derivatives ( but not necessarily continuous ), and they satisfy the Cauchy – Riemann equations, then ƒ is holomorphic.
0.361 seconds.