common fraction

Definitions

  • WordNet 3.6
    • n common fraction the quotient of two integers
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Webster's Revised Unabridged Dictionary
    • Common fraction a fraction in which the number of equal parts into which the integer is supposed to be divided is indicated by figures or letters, called the denominator, written below a line, over which is the numerator, indicating the number of these parts included in the fraction; as 1/2, one half, 2/5, two fifths.
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Usage

In literature:

It was decided, therefore, to divide the pounds only, and to throw the shillings, pence, and fractions in a common fund.
"The Wrecker" by Robert Louis Stevenson and Lloyd Osbourne
Common fractions may often be changed to decimals very readily, and the calculations thereby made much easier.
"Burroughs' Encyclopaedia of Astounding Facts and Useful Information, 1889" by Barkham Burroughs
We must break wholes up into fractions, and then seek their common multiple.
"The Last Harvest" by John Burroughs
What would Princess Irene want with vulgar fractions, a common denominator, and such low subjects?
"The Madigans" by Miriam Michelson
Many think common fractions vulgar, but they are the components of millions.
"Architects of Fate" by Orison Swett Marden
Fractions of a cow-common were called sheep-commons, five of which equalled a cow-common.
"The New England Magazine Volume 1, No. 3, March, 1886" by Various
Happiness, said Carlyle, is as the value of a common fraction, which results from dividing the numerator by the denominator.
"21" by Frank Crane
It was decided, therefore, to divide the pounds only, and to throw the shillings, pence, and fractions in a common fund.
"The Works of Robert Louis Stevenson - Swanston Edition Vol. 13 (of 25)" by Robert Louis Stevenson
Can the same words mean both a common fraction and a decimal fraction?
"The Psychology of Arithmetic" by Edward L. Thorndike
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In news:

Only a fraction of current exoplanet systems have these characteristics, meaning places like our own Solar System — and intelligent aliens — might be less common than we previously thought.
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In science:

No new isovector parameters are needed! A common problem for all these repulsive hadronic EOS s in neutron rich matter is the fact that the limit of a direct (p + e− → n + νe ) U RCA fast neutrino cooling process (proton fraction Z/A ≃ 0.11) can be reached already at relatively low densities, around 2 − 3ρ0 .
Heavy Ion Dynamics and Neutron Stars
For example, separate measurements of ∆md may both depend on an assumed Monte-Carlo branching fraction used to model a common background.
Averages of b-hadron and c-hadron Properties at the End of 2007
Before being combined, the measurements are adjusted on the basis of a common set of input values, including the averages of the b-hadron fractions and lifetimes given in this report (see Secs. 3.1 and 3.2).
Averages of b-hadron and c-hadron Properties at the End of 2007
Systematic correlations arise both from common physics sources (fractions, lifetimes, branching ratios of b hadrons), and from purely experimental or algorithmic effects (efficiency, resolution, flavour tagging, background description).
Averages of b-hadron and c-hadron Properties at the End of 2007
The following assumption is made regarding the long memory behavior of {Xkt}, k = 1, 2 and is satisfied by two commonly-used long memory time series models: FARIMA (fractional autoregressive integrated moving average) models and fractional Gaussian noise [Beran (1994)].
A generalized portmanteau test of independence between two stationary time series
Using the predictions of Han et al. (1995) and Moe & De Marco (2006) we can estimate the fraction of stars that went through a common envelope interaction in the Binary Hypothesis.
The Origin and Shaping of Planetary Nebulae: Putting the Binary Hypothesis to the Test
On the other hand the post-common envelope binary fraction predicted by the Single Star Paradigm (13%) is in line with the observation.
The Origin and Shaping of Planetary Nebulae: Putting the Binary Hypothesis to the Test
This would be so, if we firmly believed that the predicted and observed fractions strictly describe only post-common envelope CSPNe.
The Origin and Shaping of Planetary Nebulae: Putting the Binary Hypothesis to the Test
It follows that the fraction of common keys in the two k-mins sketches is an unbiased estimator of the weighted Jaccard similarity of the two assignments.
Coordinated Weighted Sampling for Estimating Aggregates Over Multiple Weight Assignments
Hence, the cost in common resources shared with other variables can be put in a fraction, Aa/Ai .
Organization and Complexity in a Nested Hierarchical Spin-Glass like Social Space
We also show that despite it is a common practice to integrate out all L´evy compensators in the integral term when one considers jumps with finite activity and finite variation, this breaks the stability of the scheme, at least for the fractional PDE.
Using pseudo-parabolic and fractional equations for option pricing in jump diffusion models
We show that when considering jumps with finite activity and finite variation despite it is a common practice to integrate out all L´evy compensators in the Eq. (21) in the integral terms this breaks the stability of the scheme at least for the fractional PDE.
Using pseudo-parabolic and fractional equations for option pricing in jump diffusion models
Figure 6a shows the voxels using the common color-coding convention [i.e., RGB for the (x, y , z ) coordinates] weighted by the estimated fractional anisotropy (FA) at each voxel.
Nonparametric tests of structure for high angular resolution diffusion imaging in Q-space
Some of the more commonly applied criteria are SFRs that cannot be sustained for longer than a small fraction (e.g., ≤ 10%) of the Hubble time, i.e., with gas consumption timescales of less than ≪1 Gyr, or galaxies with disk-averaged SFR surface densities Σ(SFR) ≥ 0.1 M⊙ yr−1kpc−2 (§5.2).
Star Formation in the Milky Way and Nearby Galaxies
This is a common simplification made in the modeling of the ionizing escape fraction (Dove & Shull 1994; Ricotti & Shull 2000).
Runaway Stars and the Escape of Ionizing Radiation from High-Redshift Galaxies
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