# ratio

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## ratio.

The ratio of two quantities expressed in terms of the same unit is the fraction that has the first quantity as numerator and the second as denominator. For example, if in a group of 100 people 5 die, the ratio of deaths to the total number in the group is 5/100=1/20=.05. Ratios are indicated also by writing the two values with a colon between them, e.g., the ratio of 4 to 8 can be expressed by 4:8 as well as by 4/8.

## Ratio

A relationship in magnitude, quantity, or degree between two or more similar things.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Ratio

The ratio of two numbers is the quotient from the division of the first number, by the second. The ratio of two homogeneous magnitudes is the number obtained by measuring the first magnitude when the second is chosen as the unit of measurement. If two magnitudes are measured in the same unit of measurement, their ratio is equal to that of the numbers that measure them.

The ratio of the lengths of two segments may be expressed by a rational or irrational number. In the former case the segments are said to be commensurable, and in the latter incommensurable. Mathematicians of the ancient world had no knowledge of irrational numbers. For them the concept of the ratio of two segments did not reduce to the concept of number. In their conception the geometrical theory of the ratios of magnitudes was not connected with the concept of number and played an independent role. In a sense, it substituted for a theory of real numbers. Indeed, according to Euclid the four segments, a, b, a’, and b’ form the proportion a: b = a’:b’ if for any natural numbers m and n one of the relations ma = nb, ma > nb, ma < nb is satisfied simultaneously with the corresponding relation ma’ = nb’, ma’> nb’, or ma’ < nb’. It follows that when a and b are incommensurable the subdivision of the rational numbers (x = m/n) into two classes according to whether a > xb or a < xb coincides with the subdivision according to whether a’ > xb’ or a’ < xb’ —this is the idea behind the modern theory of Dedekind cuts.

## ratio

[′rā·shō]
(mathematics)
A ratio of two quantities or mathematical objects A and B is their quotient or fraction A / B.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## ratio

Maths a quotient of two numbers or quantities
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
References in periodicals archive ?
Nor do other measures commonly employed, such as risk ratios, produce numbers equivalent to the probability of causation.
Similarly, the relative risk estimates for stroke or death at 30 days after treatment were comparable in those under age 70 years who underwent stenting versus endarterectomy (5.1% and 4.5%, respectively; risk ratio 1.11), but were more than double in those aged 70 years or older for stenting versus endarterectomy (10.5% and 4.4%, respectively; risk ratio 2.41).
[dagger]Summary risk ratio after stratifying on ham consumption.
9%), the risk of cesarean i section was only marginally associated with elective labor induction (relative risk ratio, 1.2).
"The confidence interval of the risk ratio was narrow enough to conclude that screening and treatment of men with tumors detected through screening as practiced in the present study are unlikely to reduce mortality from prostate cancer by more than a third," the study investigators wrote.
When applying meta-analysis, the NCSS 11 trial package program was used for calculating the risk ratio and forest plot.
The instalment services have a risk ratio but the facilitation of the above measures does not increase the risk ratio but reduces it, but the risk ratio remains, but does not exceed 1.5%.
The Net Mortgage Risk Ratio for the local banks stood at 114.17% as against the QCB-stipulated maximum limit of 150% as of December 2017, the QCB said.
Suggestions and comments to the draft ordinance 'On risk ratio buffers for certain asset types and characteristics of asset types subject to setting risk ratio buffers' will be accepted by 11 May 2018.
Thirteen studies with dichotomous values showed a significant reduction in CHHF and RP (risk ratio 0.31, 0.24-0.40) when comparing herbal medicine with/without Western medicine, and no treatment or Western medicine alone.
Health associations were measured as risk ratio (RR) per interquartile range (IQR) of daily [OP.sup.DTT] or other pollutants.

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