rational number

Definitions

  • WordNet 3.6
    • n rational number an integer or a fraction
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Usage

In literature:

Falsten divided his ration into several portions, corresponding, I believe, to the number of meals to which he was ordinarily accustomed.
"The Survivors of the Chancellor" by Jules Verne
The number of rations for men was commonly estimated at from three to four millions.
"The History of England from the Accession of James II." by Thomas Babington Macaulay
From that day, the authorities provided weekly rations for that number of men.
"West Wind Drift" by George Barr McCutcheon
The slaves received their rations weekly, it was apportioned according to the number in the family.
"Slave Narratives: A Folk History of Slavery in the United States" by Work Projects Administration
Rationalism can live upon air and signs and numbers.
"Robert Browning" by G. K. Chesterton
A number of cattle were fed without the ration of salt; an equal number received it regularly.
"The Easiest Way in Housekeeping and Cooking" by Helen Campbell
The marvel of the infinite number of stars is not so marvellous as the rationality that fain would comprehend them.
"The Birth-Time of the World and Other Scientific Essays" by J. (John) Joly
More rational people explain the number of his sons by saying they were his spiritual children.
"The Faith of Islam" by Edward Sell
Three days passed without a sign; and then, when the guard came in with his ration, Harry saw that Abdool was one of the number.
"At the Point of the Bayonet" by G. A. Henty
The rations for the next week were given each family on saturday nights, amounts varying according to the number in each family.
"Slave Narratives: A Folk History of Slavery in the United States" by Work Projects Administration
We were more than sixty in number, and we were obliged to put ourselves on half rations.
"Perils and Captivity" by Charlotte-Adélaïde [née Picard] Dard
We were more than sixty in number, and we were obliged to put ourselves on half rations.
"Thrilling Narratives of Mutiny, Murder and Piracy" by Anonymous
The reader will understand from what I have written above that there is no limit to the number of rational-sided R.A.T.
"The Canterbury Puzzles" by Henry Ernest Dudeney
They number four thinnish ones, and represent three-quarter rations.
"A Yeoman's Letters" by P. T. Ross
The number of the rationally conscientious is as small as is that of the convivial.
"Quaker Hill" by Warren H. Wilson
I was not comfortably warm for a number of days, and rations were dreadfully short.
"Personal Recollections of the Civil War" by James Madison Stone
Mayor Hilliard and his councilmen struggled to work out a reasonable ration plan, based upon the ratio of supplies to number of consumers.
"The Year When Stardust Fell" by Raymond F. Jones
The charge has sometimes been made that a number of Wallin's hymns are tinged by the spirit of rationalism.
"The Story of Our Hymns" by Ernest Edwin Ryden
The number of mouths on board were few, and the rations had been carefully adjusted to the mouths.
"Memoirs of Service Afloat, During the War Between the States" by Raphael Semmes
The Food Controller rationed the school according to the number of its boarders.
"For the School Colours" by Angela Brazil
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In news:

Given a natural number d, is there a right triangle with rational sides and area d.
Since the days of Pythagoras, numbers have appealed to our sense of the mystical and spooky as well as to our rational and analytic faculties.
The number of New York City area service stations that were unable to sell gas was unchanged from a day ago at 28 percent, the Department of Energy said on Friday as the city imposed the first rationing scheme since the 1970s.
Data from 10 nutritionists or consultants, on Wisconsin, Michigan, Pennsylvania and New York herds fed low-protein total mixed rations , showed a number of similarities.
Officials in one northern New Jersey town are ordering gas to be rationed based on license plate numbers.
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In science:

M5–brane, is proportional to a rational number γ = p/q , (p, q ∈ ZZ).
Microscopic entropy of the most general four-dimensional BPS black hole
For a rational number a > 0, the n-dimensional closed polydisc of radius a is denoted by Dn,(a) .
Ramification of local fields with imperfect residue fields
F → F a log , for rational numbers b ≥ a > 0.
Ramification of local fields with imperfect residue fields
Then, there exist rational numbers 0 ≤ s ≤ r ≤ e such that U ⊂ C + (s, r) and U contains a point of valuation α for any α ∈ Q ∩ [s, r].
Ramification of local fields with imperfect residue fields
Then, there exists a rational number a < r such that U ∩ X a =
Ramification of local fields with imperfect residue fields
Then, there exist two admissible open subsets U ′ and V ′ of X for the strong G–topology and a rational number a < r, such that U ⊂ U ′ , V ⊂ V ′ , and U ′ ∪ V ′ ⊃ X a and U ′ ∩ V ′ ∩ X a =
Ramification of local fields with imperfect residue fields
Second, we prove that there exists a rational number a1 ≤ a < r such that U ε ∪ V ε ⊃ X a .
Ramification of local fields with imperfect residue fields
For a rational number a > 0, we denote by F a K ′ the functor constructed in Subsection 3.1 for finite flat OK ′ -algebras.
Ramification of local fields with imperfect residue fields
OL /OK is bounded by a, for any rational number a > 1.
Ramification of local fields with imperfect residue fields
The assumption that L/K is purely inseparable and Lemma 7.4 imply that there exists a rational number 0 < γ < 1 such that X 1 ⊂ σ+Dn,(γ ) .
Ramification of local fields with imperfect residue fields
For a rational number a > 0, the map F (L) → F a log (L) is surjective.
Ramification of local fields with imperfect residue fields
Definition 9.4 Let L be a finite separable extension of K , and a > 0 be a rational number.
Ramification of local fields with imperfect residue fields
This rather complex figure has a simple origin, it just shows the properties of rational numbers.
Predicting and generating time series by neural networks: An investigation using statistical physics
No set of rational numbers, with their usual order, that contains the reciprocals of all the positive integers is well ordered.
Factorization of integers and arithmetic functions
We have to show that M belongs to Qα for any rational number α with 0 < α < w.
Infinite dimensional representations of canonical algebras
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