ratio

Definitions

  • WordNet 3.6
    • n ratio the relation between things (or parts of things) with respect to their comparative quantity, magnitude, or degree "an inordinate proportion of the book is given over to quotations","a dry martini has a large proportion of gin"
    • n ratio the relative magnitudes of two quantities (usually expressed as a quotient)
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Webster's Revised Unabridged Dictionary
  • Interesting fact: There is a "cemetery town" in California named Colma. Concerns about the public health, crime, and the need for space forced the city of San Francisco to outlaw burials in 1902. The city of Colma, which is five miles south of San Francisco, was established to bury the dead. The ratio of dead to living people is 750 to 1
    • Ratio Hence, fixed relation of number, quantity, or degree; rate; proportion; as, the ratio of representation in Congress.
    • ratio See under Progression Proportion and Ratio.
    • Ratio (Math) The relation which one quantity or magnitude has to another of the same kind. It is expressed by the quotient of the division of the first by the second; thus, the ratio of 3 to 6 is expressed by 3/6 or 1/2; of a to b by a/b; or (less commonly) the second term is made the dividend; as, a:b = b/a .
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Century Dictionary and Cyclopedia
  • Interesting fact: On average, he ratio of yellow kernels to white kernals in a bag of popcorn is 9:1
    • n ratio The relation between two similar magnitudes in respect to quantity; the relation between two similar quantities in respect to how many times one makes so many times the other. There is no intelligible difference between a ratio and a quotient of similar quantities: they are simply two modes of expression connected with different associations. But it was contrary to the old usage to speak of a ratio as a quantity—a usage leading to intolerable complications. Thus, instead of saying that the momentum of a moving particle is the product of its mass into its velocity—a mode of expression both convenient and philosophical—the older writers say that the momenta of two particles are in the compound ratio of their masses and velocities. This language, which betrays several errors of logic, is now disused; although some writers still persist in making numbers the only subjects of addition and multiplication. By mathematicians ratio is now conceived and spoken of as synonymous with quotient.
    • n ratio Proportion of relations or conditions; coincident agreement or variation; correspondence in rate; equivalence of relative movement or change.
    • n ratio Reason; cause: often used as a Latin word in current Latin phrases.
    • n ratio In musical acoustics, the relation between the vibration-numbers of two tones. It is the physical or mathematical representation of the interval between them.
    • n ratio In civil law. an account; a cause, or the giving of judgment therein.
    • n ratio Loosely, a direct and simple ratio: as, the weights of bodies are in the direct ratio of their masses—that is, the weight of one is to that of another as the mass of the former is to that of the latter. Also direct proportion
    • n ratio See progression.
    • n ratio A ratio not compound.
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Chambers's Twentieth Century Dictionary
  • Interesting fact: There was a ratio of 35 women to one man in England mental asylums in 1971. However in England prisons, this ratio was the opposite.
    • n Ratio rā′shi-o the relation or the proportion of one thing to another: reason, cause:
    • n Ratio rā′shi-o (mus.) the relation between the vibration-numbers of two tones.
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Quotations

  • Aldous Huxley
    Aldous%20Huxley
    “Official dignity tends to increase in inverse ratio to the importance of the country in which the office is held.”
  • Ken Blanchard
    Ken Blanchard
    “For a manager to be perceived as a positive manager, they need a four to one positive to negative contact ratio.”
  • Aldous Huxley
    Aldous%20Huxley
    “The quality of moral behavior varies in inverse ratio to the number of human beings involved.”
  • Thomas Robert Malthus
    Thomas Robert Malthus
    “Population, when unchecked, increases in a geometrical ratio.”

Etymology

Webster's Revised Unabridged Dictionary
L., fr. reri, ratus, to reckon, believe, think, judge. See Reason
Chambers's Twentieth Century Dictionary
L. ratio, reason—rēri, ratus, to think.

Usage

In literature:

This is less than the column with no steel and with practically the same ratio of slenderness.
"Some Mooted Questions in Reinforced Concrete Design" by Edward Godfrey
They all agreed on a definite ratio.
"Essays in Liberalism" by Various
The ratio of the length of string sounding a fundamental, to the length necessary to sound its minor third, is that of 6 to 5.
"Piano Tuning" by J. Cree Fischer
The former is the ratio of the light produced to the amount of energy radiated by the light-source.
"Artificial Light" by M. Luckiesh
Besides, your property value will decline in direct ratio.
"If You're Going to Live in the Country" by Thomas H. Ormsbee and Richmond Huntley
Wanton vandalism is vandalism largely in the ratio that it is wanton.
"The Story of the Great War, Volume III (of 12)"
If the density be inversely as the square roots of the distances, the times will be directly in the same ratio.
"Outlines of a Mechanical Theory of Storms" by T. Bassnett
By the Census, the population of Virginia in 1790 was 748,308, and in 1860, 1,596,318, making the ratio of increase 113.32 per cent.
"Continental Monthly , Vol V. Issue III. March, 1864" by Various
From 1820 to 1830 the ratio of increase was again raised to 37 per cent.
"The Continental Monthly, Vol. III, No. V, May, 1863" by Various
No definite ratios could be found from the various kinds of matings.
"Applied Eugenics" by Paul Popenoe and Roswell Hill Johnson
He also found the ratio of the major step by subtracting the fourth from the fifth.
"A Popular History of the Art of Music" by W. S. B. Mathews
But our wealth increases in an augmented ratio during each decade.
"Continental Monthly , Vol. 6, No. 1, July, 1864" by Various
Instead, the staff played a sterile numbers game, seeking to impose a strict ratio everywhere.
"Integration of the Armed Forces, 1940-1965" by Morris J. MacGregor Jr.
It is only the ratio of retardation or acceleration to chronological age (that is, the I Q) which has significance.
"The Measurement of Intelligence" by Lewis Madison Terman
I have already explained the bad effect this has upon the lift-drift ratio.
"The Aeroplane Speaks" by H. Barber
The cupric reduction falls in greater ratio to the original (unfermented) than the furfural.
"Researches on Cellulose" by C. F. Cross
From such a mating we ought, therefore, to obtain both white and coloured birds in the ratio 13 : 3.
"Mendelism" by Reginald Crundall Punnett
This charge would be short of the proper ratio of dry soil.
"The Copper-Clad World" by Harl Vincent
Anyone who has worked out one of these geometrical ratios knows how wondrously they mount up.
"The Meaning of Evolution" by Samuel Christian Schmucker
On this latter ratio the committee believed that production could be increased fifteen per cent above the normal.
"Herbert Hoover" by Vernon Kellogg
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In news:

An expert picks six European jaunts with a high luxury-to-cost ratio.
Participants were significantly more likely to choose the images with lower facial-width ratio as trustworthy .
Statistics such as WPM and error ratio are displayed at the bottom of the screen.
Student-to-faculty ratio: 6 to 1.
20hp @ 1750 rpm 35.1 Gear Ratio 23,800 in lbs.
They look for a good quality/price ratio.
Sony XEL-1's 11-inch screen is a mere 3 mm thick and features a 1,000,000:1 contrast ratio.
The LCD model sports a 21:9 aspect ratio capable of displaying likewise cinematic formats, such as Panavision, without letterboxing the picture.
Toy with ratios to find what you like best.
If there is one thing mobile handset producers cannot agree on, it's aspect ratio.
3 aspect ratio, same as television used for decades before switching to 16:9 widescreen.
BC-BKC--NCAA Ind Assist Turnover Ratio, BKC.
As you may know, there are different rear axle gear ratio options to choose from when purchasing a new full-size pickup.
"We're not as uptight about a 5 percent stocks-to-use ratio for soybeans as we are for corn," says American Farm Bureau Federation Deputy Chief Economist John Anderson.
Targeted for use in surveillance applications, the Niles Audio Corp CAM -PB miniature color CCTV camera features 480 lines of resolution, a 1/3-inch CCD element, and a 48 dB signal-to-noise ratio.
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In science:

In Fig. 2 we show a correlation plot between the ratio of B (E 2) values and the energy ratio R.
Collective states from random interactions
These 10,000 flux ratios were then compared with the distribution of the real flux ratios via KolmogorovSmirnoff two-sample tests.
The SCUBA Local Universe Galaxy Survey II. 450 micron data - evidence for cold dust in bright IRAS Galaxies
This ratio is simply given by the ratios of the mean lifetime of a WR star to that of an OV–type star.
Stellar evolution with rotation X: Wolf-Rayet star populations at solar metallicity
The scaling variable is unusual: a ratio of logarithms, in contrast with the ordinary ratio underlying the size distribution (2).
Leadership Statistics in Random Structures
The last ratio in this equation is fixed, so the probability depends only on the first ratio (the inverse of the projected density within a clump) which could be slowly varying.
Observations of cluster substructure using weakly lensed sextupole moments
We find that the line ratio is lowest in the central component (ratio=1.5) and generally increases with distance from the nucleus where well-measured.
The Aligned z ~ 1 Radio Galaxy 3C 280
Our larger values for this ratio in 3C 280 actually give even better agreement with the photoionization models, provided that the C III] λ1909/C II] λ2326 ratio stays close to that found by Best, R¨ottgering, & Longair (2000b).
The Aligned z ~ 1 Radio Galaxy 3C 280
The ratio of the corrected F622W flux to the F160W flux for the young stellar component of c is 3.3, but uncertainties in how much flux of each component would be included in the slit could give ratios different by a factor of two.
The Aligned z ~ 1 Radio Galaxy 3C 280
Lower panel: The vertical profile of a coupling parameter χ in the two models (solid lines), and the ratio of the Alfven speed to the sound speed and the square of that ratio (dotted lines).
Early Disk Evolution
Their intensity ratio can vary by a factor of 103 , depending on the ratio of collisional over radiative excitations, cf.
Gamma-Ray Bursts: their Sources
The basis of this correlation is the fact that the f (2−10keV )/f (R) ratio is roughly equivalent to the ratio between the nuclear X-ray power and the host galaxy R band luminosity.
Discovery of optically faint obscured quasars with Virtual Observatory tools
Catalytic behavior is controlled by γ /ρ, the ratio of the strength and the speed of the catalyst ξ , and is sensitive to this ratio only when d ≥ 3.
Intermittency in a catalytic random medium
For large ratios, the system is strongly catalytic; for small ratios, the system is weakly catalytic.
Intermittency in a catalytic random medium
Using the HC to UCHII region number ratio, they obtained an estimate of 25–100% for the lifetime ratio between the HC and UC HII region phases.
Relative Evolutionary Time Scale of Hot Molecular Cores with Respect to Ultra Compact HII Regions
Although there is no general agreement on the precise value of the ratio J2 /J1 , both experimental and theoretical estimates lead to a ratio significantly larger than 1/2.
Finite-temperature properties of frustrated classical spins coupled to the lattice
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