# proportional

## Definitions

• Proportion of sails to steam in shipping
• WordNet 3.6
• adj proportional properly related in size or degree or other measurable characteristics; usually followed by `to' "the punishment ought to be proportional to the crime","earnings relative to production"
• adj proportional having a constant ratio
• n proportional one of the quantities in a mathematical proportion
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Webster's Revised Unabridged Dictionary
• Interesting fact: In proportion, if Jupiter were a basketball, then the sun would be the size of the Louisiana Super Dome
• Proportional (Math) Any number or quantity in a proportion; as, a mean proportional .
• Proportional (Math) Constituting a proportion; having the same, or a constant, ratio; as, proportional quantities; momentum is proportional to quantity of matter.
• Proportional Having a due proportion, or comparative relation; being in suitable proportion or degree; as, the parts of an edifice are proportional .
• Proportional (Draughting) instruments used in making copies of drawings, or drawings of objects, on an enlarged or reduced scale.
• Proportional Relating to, or securing, proportion.
• Proportional (Chem) The combining weight or equivalent of an element.
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Century Dictionary and Cyclopedia
• Interesting fact: The animal with the largest brain in proportion to its size is the ant.
• proportional Based upon proportion; pertaining to or having proportion.
• proportional According to or having a due proportion; being in suitable proportion or degree.
• proportional In mathematics, having the same or a constant ratio: as, proportional quantities.
• proportional A scale for preserving the proportions of drawings or parts when changing their size.
• n proportional A quantity in proportion. Specifically — In chem., in the theory of definite proportions, the weight of an atom or prime. See prime, n., 6.
• n proportional A table of proportional parts.
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Chambers's Twentieth Century Dictionary
• Interesting fact: Sterling silver is not pure silver. Because pure silver is too soft to be used in most tableware it is mixed with copper in the proportion of 92.5 percent silver to 7.5 percent copper.
• adj Proportional having a due proportion: relating to proportion:
• adj Proportional (math.) having the same or a constant ratio
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## Quotations

• Francis Bacon
“There is no excellent beauty that hath not some strangeness in the proportion.”
• Vince Lombardi
“The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.”
• H. L. Mencken
“Men become civilized, not in proportion to their willingness to believe, but in proportion to their readiness to doubt.”
• Denis Waitley
“The results you achieve will be in direct proportion to the effort you apply.”
• George Bernard Shaw
“Men are wise in proportion, not to their experience, but to their capacity for experience.”
• Coco Chanel
“Fashion is architecture: it is a matter of proportions.”

## Etymology

Webster's Revised Unabridged Dictionary
L. proportionalis,: cf. F. proportionnel,
Chambers's Twentieth Century Dictionary
L. proportiopro, in comparison with, portio, portionis, part, share.

## Usage

### In literature:

That the proportion of length to width in an ellipse is determined by the distance apart of the foci.
"Mechanical Drawing Self-Taught" by Joshua Rose
Showing the Difference in Form and Proportion.
"Searchlights on Health: Light on Dark Corners" by B.G. Jefferis
The inhabitants were tall and well proportioned, alert, vigorous, and intelligent.
"Celebrated Travels and Travellers" by Jules Verne
Recent investigations indicate that in general, peat contains but a small proportion of ready-formed ammonia.
"Peat and its Uses as Fertilizer and Fuel" by Samuel William Johnson
"Choice Cookery" by Catherine Owen
Reduce the proportion for a small quantity.
"The Ladies Book of Useful Information" by Anonymous
Let this be a given mean proportional TO FIND ANOTHER MEAN PROPORTIONAL OF EQUAL VALUE.
"A Budget of Paradoxes, Volume II (of II)" by Augustus de Morgan
The tone of command is animated, distinct, and of a loudness proportioned to the number of men for whom it is intended.
"Manual of Military Training" by James A. Moss
The evil and good are fixed; in essence, and in proportion.
"The Crown of Wild Olive" by John Ruskin
By submitting different bodies to the test of the pyrometer, it is found that they are far from dilating in the same proportion.
"Conversations on Chemistry, V. 1-2" by Jane Marcet
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### In poetry:

Oh, if one master tries so hard
Tyrannical to be,
How out of all Proportion I
Should find a Rule of Three.
"Mathematics" by Arthur Clement Hilton
Proportion'd to my pains below,
O let my joys increase,
And mercy to my spirit flow
In healing streams of peace.
"In Sickness" by Augustus Montague Toplady
O sweet proportion! How shall I
Describe her going's grace?
Slow was it, stately, gliding? Nay,
'Twas hers and beauty's pace.
"Immortal Eve - III" by Manmohan Ghose
So unto Venus' Oracle in turn
I leaned the Secret of my Love to learn.
The Answering Riddle came: "She loves you, yes,
In just Proportion to the Sum you Earn."
"The Rubáiyát of Omar Khayyám Jr." by Wallace Irwin
Man is all symmetrie,
Full of proportions, one limbe to another,
And all to all the world besides:
Each part may call the farthest, brother:
For head with foot hath private amitie,
And both with moons and tides.
"Man" by George Herbert
And its massive proportions is very imposing to see,
Because the arched entrance is secured by a drawbridge and a fosse;
And visitors will be allowed all over the grounds to roam,
Besides shown over the castle if the Earl is not at home.
"Beautiful Nairn" by William Topaz McGonagall

### In news:

Identity theft has risen to epidemic proportions in recent years.
Supplies and devices, such as stents, accounted for the largest proportion of hospital inpatient cost increases between 2001 and 2006.
Necessity, proportionality, and the military campaigns in Gaza and Lebanon.
Literature for servo and proportional valves contains a variety of terms and specifications that need to be understood for proper application.
It sounds like a conflict of epic proportions when you talk to some healthcare leaders.
A Modern Fairy Tale of Gigantic Proportions.
Skinny Disney characters just keep on coming as body image for little girls take on ever thinner proportions.
Montgomery County female athletic participation stays proportional .
At his rural Madison County home, Shawn Saunders currently is enduring what he calls a "bug swarm of biblical proportions.".
A Clash of Theological Proportions.
Band seeks damages in proportion to the popularity of the Grammy-winning tune.
The problem of coastal wetland erosion has reached crisis proportions in the United States and, sadly, very little has been done to stop this alarming and growing problem.
AFTER New Zealand's first general election under proportional representation last October, it took two months for a coalition government to emerge.
But the odd proportions of the sleeves threw the whole thing off.
This week, Surfin' tries out a new app on the iPod Touch and revisits a blog of historic proportions.
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### In science:

Since the self energy is proportional to the T -matrix for scattering of a pair from an impurity, which is in turn proportional to S − 1, where S is the corresponding S -matrix, this implies that S = e2i(δ2−δ1 ) .
Clock shifts in a Fermi gas interacting with a minority component: a soluble model
It turns out that in the case of random k-cycles, this critical time is proportional to 1/[k(k − 1)], whereas the mixing time is known to be proportional to 1/k .
Emergence of giant cycles and slowdown transition in random transpositions and \$k\$-cycles
One can better understand why this relation is so close by taking into account the fact that the induced transition probability of the detector is proportional to the energy density of the radiation, where the proportionality is given by one of the Einstein coeﬃcients.
Reply to "Comment on 'Insensitivity of Hawking radiation to an invariant Planck-scale cutoff' "
This enables us to conclude that even when considering subsets deﬁned by restriction of the group proportions πq (for instance assuming the group proportions are ﬁxed, or equal), the result remains valid.
Parameter identifiability in a class of random graph mixture models
The power of the input signal is proportional to the variance, σ 2 , as σ 2 = αW , where α is a proportional constant.
A New System Noise Measurement Method Using a 2-bit Analog-To-Digital Converter
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