Crossword clues for homogeneous
Longman Dictionary of Contemporary English
The Collaborative International Dictionary
Homogeneous \Ho`mo*ge"ne*ous\, a. [Gr. ?; ? the same + ? race, kind: cf. F. homog[`e]ne. See Same, and Kin.]
Of the same kind of nature; consisting of similar parts, or of elements of the like nature; -- opposed to heterogeneous; as, homogeneous particles, elements, or principles; homogeneous bodies.
(Alg.) Possessing the same number of factors of a given kind; as, a homogeneous polynomial.
Douglas Harper's Etymology Dictionary
a. 1 Of the same kind; alike, similar. 2 Having the same composition throughout; of uniform make-up. 3 (context chemistry English) in the same state of matter. 4 (context mathematics English) Of which the properties of a smaller set apply to the whole; scalable. 5 (context proscribed English) (alternative form of homogenous English)
In set theory and in the context of a large cardinal property, a subset, S, of D is homogeneous for a function f if for some natural number n, P(D) (see Powerset#Subsets of limited cardinality) is the domain of f and for some element r of the range of f, every member of P(S) is mapped to r. That is, f is constant on the unordered n-tuples of elements of S.
Usage examples of "homogeneous".
Let us ask the astronomers who originate cosmogonical hypotheses, and invent a primitive nebula, the natural philosophers who dream that by the deterioration of energy and the dissipation of movement the material world will obtain final rest in the inertia of a homogeneous equilibrium, let us ask the biologists and psychologists who are enemies of fixed species and inquisitive about ancestral history.
Positive science, we are told, presents the universe to us as an immense homogeneous transformation, maintaining an exact equivalence between departure and arrival.
Above all, let us strive to disengage ourselves from homogeneous space, this substratum of fixity, this arbitrary scheme of measurement and division, which, to our greater advantage, subtends the natural, qualitative, and undivided extension of images.
This is in itself an undesirable simplification, for it is impossible to reconstitute the infinity of real shades by combinations of fundamental colours each representing the homogeneous shore, which each region of the spectrum finally becomes.
Everywhere, when it theorises, it tends to establish static relations between composing unities which form a homogeneous and disconnected multiplicity.
All change is revealed in the light of immediate intuition, not as a numerical series of states, but a rhythm of phases, each of which constitutes an indivisible act, in such a way that each change has its natural inner articulations, forbidding us to break it up according to arbitrary laws, like a homogeneous length.
Is not this what is emphasised by the perpetual employment of mechanical images and vulgar engineering metaphors, the least fault of which is to suppose a homogeneous time, and a motionless theatre of change which is at bottom only space?
On the one hand, we have mechanism, repetition, inertia, constants, and invariants: the play of the material world, from the point of view of quantity, offers us the aspect of an immense transformation without gain or loss, a homogeneous transformation tending to maintain in itself an exact equivalence between the departure and arrival point.
And if disconnections and abrupt leaps are visible in the economy of the past--from matter to life, from the animal to man--we have no authority again for claiming that we cannot observe today something analogous in the very essence of human life, that the point of view of the flesh, and the point of view of the spirit, the point of view of reason, and the point of view of charity are a homogeneous extension of it.
Beautiful expanses of metal and plastic, each enclosed in seductively homogeneous chitin of earth tones and ochers, formed a ring around the room as secret and monolithic as Stonehenge.
But, on the other hand, the assumption that men are unclassifiable, because practically homogeneous, which underlies modern democratic methods and all the fallacies of our equal justice, is even more alien to the Utopian mind.
If the tentacles of a young, yet fully matured leaf, that has never been excited or become inflected, be examined, the cells forming the pedicels are seen to be filled with homogeneous, purple fluid.
The cells, instead of being filled with homogeneous purple fluid, now contain variously shaped masses of purple matter, suspended in a colourless or almost colourless fluid.
Shortly after the tentacles have reexpanded, the little masses of protoplasm are all redissolved, and the purple fluid within the cells becomes as homogeneous and transparent as it was at first.
Having examined a leaf in water, and found the contents of the cells homogeneous, I placed it in a few drops of a solution of one part of the carbonate to 437 of water, and attended to the cells immediately beneath the glands, but did not use a very high power.