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homogeneity

Definitions

  • WordNet 3.6
    • n homogeneity the quality of being similar or comparable in kind or nature "there is a remarkable homogeneity between the two companies"
    • n homogeneity the quality of being of uniform throughout in composition or structure
    • ***
Webster's Revised Unabridged Dictionary
    • n Homogeneity Same as Homogeneousness.
    • ***
Century Dictionary and Cyclopedia
    • n homogeneity The state or character of being homogeneous; likeness or correspondence of parts or qualities; composition from like parts; agreement in elements or characteristics; congruity of constitution.
    • ***
Chambers's Twentieth Century Dictionary
    • ns Homogeneity sameness of nature or kind
    • ***

Quotations

  • D. H. Lawrence
    D.%20H.%20Lawrence
    “The human consciousness is really homogeneous. There is no complete forgetting, even in death.”
  • Robert Frost
    Robert%20Frost
    “The best things and best people rise out of their separateness; I'm against a homogenized society because I want the cream to rise.”

Etymology

Webster's Revised Unabridged Dictionary
Cf. F. homogénéité,
Chambers's Twentieth Century Dictionary
Gr. homogenēshomos, one, same, genos, kind.

Usage

In literature:

The nation was practically homogeneous, and its social, religious, and political ideals and aims were distinct.
"Aliens or Americans?" by Howard B. Grose
Some of the porphyroids are conglomerate, but the majority are true porphyries, having a homogeneous base.
"The Andes and the Amazon" by James Orton
Unity by no means involves homogeneity.
"Anticipations" by Herbert George Wells
Pietism lacked a homogeneous race of teachers.
"History of Rationalism Embracing a Survey of the Present State of Protestant Theology" by John F. Hurst
As he points out, the football squad is probably as nearly a homogeneous group as it is possible to find.
"How to Live" by Irving Fisher and Eugene Fisk
We were still nothing more than a homogeneous assembly of individuals.
"Kitchener's Mob" by James Norman Hall
The two big parties have had to preserve a superficial homogeneity; and a platitude is more potent than an issue.
"A Preface to Politics" by Walter Lippmann
One corner of the great domain, New England, was thickly planted with homogeneous churches in mutual fellowship.
"A History of American Christianity" by Leonard Woolsey Bacon
Bands and threads of the same substance traverse the cavity of the cell, which is filled with a deep purple homogeneous fluid.
"Elements of Structural and Systematic Botany" by Douglas Houghton Campbell
The population is not homogeneous as regards race, but consists of two stocks, English and Dutch.
"Impressions of South Africa" by James Bryce
Secular translation produced nothing so homogeneous.
"Early Theories of Translation" by Flora Ross Amos
The homogeneity of his public and private work was indeed strange in many ways.
"Appreciations and Criticisms of the Works of Charles Dickens" by G. K. Chesterton
Our own expression is that all things are acting to advance to the homogeneous, or are trying to localize Homogeneousness.
"The Book of the Damned" by Charles Fort
But there were two elements of disruption in that homogeneous body which Louis XIV apparently commanded.
"The French Revolution" by Hilaire Belloc
Others, again, often shew no vesicular structure, but are homogeneous from top to bottom.
"Geology" by James Geikie
At first these cells are homogeneous, having clear protoplasm full of minute globules of liquid.
"Freshwater Sponges, Hydroids & Polyzoa" by Nelson Annandale
Do we find this homogeneity in European nations?
"The Moral and Intellectual Diversity of Races" by Arthur, comte de Gobineau
I am glad that the era of love and oneness is over: hateful homogeneous world-oneness.
"Sea and Sardinia" by D. H. Lawrence
But it is quite homogeneous with Q.
"Sources of the Synoptic Gospels" by Carl S. Patton
The earliest known vertebrate remains are those of Fishes; and Fishes are the most homogeneous of the vertebrata.
"Illustrations of Universal Progress" by Herbert Spencer
***

In poetry:

Or a milkman who serves the wealthy,
eggs, cream, butter, yogurt, milk,
the white truck like an ambulance
who goes into real estate
and makes a pile.
From homogenized to martinis at lunch.
"Cinderella" by Anne Sexton

In news:

Homogeneous Catalyst Speeds Water Oxidation.
I have a Jackie Robinson Homogenized Bond Bread (1947) baseball card.
Another half a trillion dollars worth, which will reprocess dodgy debt, replacing it with good ol' homogenized, sanitised, government paper.
Newseum speech calls out "infotainment," sensationalism and homogenization.
Plasmonic focusing on homogeneous metal thin film.
Recently, there has been a resurgence in research interest in spherical Luneberg and homogeneous lens antennas for launching multiple pencil beams.
The Greerco pipeline mixer for continuous, high-speed, high-shear processing is designed for applications involving homogenization, mixing, dispersion and emulsion.
Homogeneity creates extremity — or, in the news of the day, a McCain rally .
She says she began selling raw milk -- which is milk that is not pasteurized or homogenized -- because customers asked her for it.
And the Academy's voting membership reflects the white male bias in the industry (a fact that oddly seemed to surprise a colleague of mine), which is probably responsible for the rather homogenized products we keep getting.
Come our nation's day of independence, all non-meat eaters will eat one: a homogenized, unexciting tofu dog.
Seoul is the seat of government and it's as crowded and competitive, if more homogeneous, as any other developed megacity.
The MegaShear ultra-high- shear mixer is a patented inline rotor/stator designed for high-volume and high-throughput deagglomeration, emulsification, and homogenization requirements.
Emphasis on early testing could lead to homogenized workforce.
The newly patented dry particle supplying device can better supply particles in a homogeneous elementary state and a continuous flow rate, creating the most accurate dry method testing in the industry.
***

In science:

Note that for D2 = D3 we recover the first case, that is a composite media with two homogeneous components while for D1 = D2 = D3 = D we recover the case for a homogeneous system.
Persistence in Random Walk in Composite Media
We give new examples and describe the complete lists of all measures on the set of countable homogeneous universal graphs and Ks free homogeneous universal graphs (for s ≥ 3) that are invariant with respect to the group of all permutations of the vertices.
Uncountable Graphs and Invariant Measures on the Set of Universal Countable Graphs
Randomization in edges and description of the list of all invariant measures on the universal homogeneous (Ks-free universal homogeneous) graphs.
Uncountable Graphs and Invariant Measures on the Set of Universal Countable Graphs
V ), v ∈ V, and homogeneous elements d ∈ s and x ∈ T ; • for any u, v ∈ V and homogeneous x, y ∈ T : [u ⊗ x, v ⊗ y ] = (−1)x(cid:0)−(x|y )γu,v + hu|vidx,y (cid:1) where γu,v = hu|.iv + hv |.iu and dx,y = [xy .].
Models of some simple modular Lie superalgebras
Interesting future research would be to investigate the extended algebras associated to homogeneous but non-semi-simple groups, or even to venture into the realm of non-homogeneous scalar manifolds.
Extended Symmetries in Supergravity: the Semi-simple Case
We will frequently use natural notations such as W (m, n)≥k to denote the subspace spanned by homogeneous elements of degree ≥ k, or W (m, n)max to denote the homogeneous subspace of maximal degree.
Generators of simple Lie algebras II
Hence we must look at the possible gradings of a Cayley algebra (C, ·, n) such that there is an automorphism τ of order 3 which leaves invariant all the homogeneous spaces, whose restriction to the homogeneous subspace of degree 0 is the identity, and such that the Petersson algebra ¯Cτ is an Okubo algebra.
Gradings on symmetric composition algebras
These are gradings in which the zero homogeneous space is trivial, and all the other homogeneous spaces have the same dimension and consist of semisimple elements.
Gradings on symmetric composition algebras
These methods do not work for maps from dimension drop algebras into homogeneous C ∗ -algebras or maps from homogeneous C ∗ -algebras into dimension drop algebras in general.
Inductive Limits of Subhomogeneous $C^*$-algebras with Hausdorff Spectrum
Because u is a homogeneous element, we see from Remark 4.3 that ytztu are also homogeneous elements for all 1 ≤ t ≤ s.
Simplicity of a vertex operator algebra whose Griess algebra is the Jordan algebra of symmetric matrices
The CfA3 sample also helps reduce the systematic uncertainty in w because it was reduced and mostly observed in a homogeneous fashion (the use of two different cameras and changing from RI filters to r ′ i′ being the exceptions to completely homogeneous observation).
CfA3: 185 Type Ia Supernova Light Curves from the CfA
We think however, that it is more reasonable to compare the results of homogeneous atmosphere models with radiative wind models that are also homogeneous, as it is the case in Vink et al. (2000; 2001).
Analysis of Galactic late-type O dwarfs: more constraints on the weak wind problem
We first consider the wave field in the homogeneous half-space z ≤ 0, which allows us to introduce the standard paraxial wave equation in homogeneous medium.
Coupled paraxial wave equations in random media in the white-noise regime
Our hypothesis of homogeneous atomic density and monochromatic and homogeneous pumping could also be discussed, especially when high optical thicknesses are involved, as the pump attenuation may become important.
Threshold of a random laser based on Raman gain in cold atoms
Random walks are in a sense the most homogeneous Markov chains: they are homogeneous both in space and in time.
Self-similarity and random walks
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