# 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 It might be outdated or ideologically biased.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 ?
APPLYING CLASSIFIERS BASED ON GAIN RATIO ALGORITHM Classifier TP RMSE ACC% TBM TTM Time M N NB 0.91 0.7 0.344 87.3 1.22 0.14 1.36 SVM 0.97 0.74 0.256 93.4 566 0.08 566 KNN 0.99 0.82 0.154 96.4 0.03 97 97 KStar 0.99 0.8 0.174 96.2 0 1125 1125 AdaBoost 0.94 0.66 0.255 89.4 5.13 0.03 5.16 Neural Network 0.99 0.83 0.175 96.4 509 0.21 510 J48 0.99 0.81 0.186 96 12.6 0.13 12.8 Simple logistic 0.98 0.75 0.22 94.4 49 0.05 49.1 TABLE IV.
In this study they showed a decline in food intake body weight average weight gain and an increased feed to gain ratio. It has been reported that intestinal villus length crypt depth mucosa thickness and villus surface area represent key parameters for intestinal digestion and absorption functions (Han 1991).
We measure the delay gain ratio, the ratio of the delay difference to the delay in SAP, to compare the delay difference for each node pair.
The final 2007 investment gain ratio (investment gain on insurance transactions as a ratio to earned premiums) was 12.7 percent versus a preliminary indication of 12 percent.
Above all, you want rabbits that are hardy, produce medium to large litters and exhibit the most efficient feed to weight gain ratio. The breed that fits those requirements the best is the New Zealand White, with the Californian performing nearly as well.
The good news: connecting cost accounting to student performance data to pull out the dollar-per-pupil per gain ratio on individual programs can be done in less than a year, so proactive districts can get a handle on their situation before the 2007 budget comes down the pike.
For decision tree induction we used Top Down Induction of Decision Tree (Quinlan, 1986), where gain ratio is used as information criterion of each attribute:
The AD8302 gain/phase detector integrated circuit was developed to accurately measure the gain ratio (dB) and phase difference between two signals, one of which may be a known reference signal.
The high gain DC-DC converters under consideration are designed for the same voltage gain ratio. The circuits are simulated using Matlab/Simulink .The designed component values of the above circuits are tabulated in Table II.
The decision tree algorithm usually has three popular attribute selection measures, namely, information gain, gain ratio, and gini index.

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