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Encyclopedia > Ratio

A ratio is a quantity that denotes the proportional[citation needed] amount or magnitude of one quantity relative to another. Ratio is the research institute of the Swedish enterprise. ... Image File history File links Emblem-important. ... Quantity is a kind of property which exists as magnitude or multitude. ... This article is about proportionality, the mathematical relation. ...


Ratios are unitless when they relate quantities of the same dimension. When the two quantities being compared are of different types, the units are the first quantity "per" unit of the second — for example, a speed or velocity can be expressed in "miles per hour". If the second unit is a measure of time, we call this type of ratio a rate. In dimensional analysis, a dimensionless number (or more precisely, a number with the dimensions of 1) is a pure number without any physical units. ... 2-dimensional renderings (ie. ... This article is about velocity in physics. ... Look up Rate in Wiktionary, the free dictionary. ...


Fractions and percentages are both specific applications of ratios. Fractions relate the part (the numerator) to the whole (the denominator) while percentages indicate parts per 100. For other meanings of the word fraction, see fraction (disambiguation) A cake with one quarter removed. ... The percent sign. ...


A ratio can be written as two numbers(the terms) separated by a colon (:) which is read as the word "to". For example, a ratio of 2:3 ("two to three") means that the whole is made up of 2 parts of one thing and 3 parts of another — thus, the whole contains five parts in all. To be specific, if a basket contains 2 apples and 3 oranges, then the ratio of apples to oranges is 2:3. If another 2 apples and 3 oranges are added to the basket, then it will contain 4 apples and 6 oranges, resulting in a ratio of 4:6, which is equivalent to a ratio of 2:3 (thus ratios reduce like regular fractions). In this case, 2/5 or 40% of the fruit are apples and 3/5 or 60% are oranges in the basket. This article is about colons in punctuation. ... Reduction Formula We use the technique of integration by parts to evaluate a whole class of integrals by reducing them to simpler forms. ...


Note that in the previous example the proportion of apples in the basket is 2/5 ("two of five" fruits, "two out of five" fruits, "two fifths" of the fruits, or 40% of the fruits). Thus a proportion compares part to whole instead of part to part.


Throughout the physical sciences, ratios of physical quantities are treated as real numbers. For example, the ratio of metres to 1 metre (say, the ratio of the circumference of a certain circle to its radius) is the real number . That is, m/1m = . Accordingly, the classical definition of measurement is the estimation of a ratio between a quantity and a unit of the same kind of quantity. (See also the article on commensurability in mathematics.) == Headline text ==cant there be some kind of picture somewhere so i can see by picture???? Physical science is a encompassing term for the branches of natural science, and science, that study non-living systems, in contrast to the biological sciences. ... In mathematics, the real numbers may be described informally as numbers that can be given by an infinite decimal representation, such as 2. ... This article is about the unit of length. ... Circle illustration This article is about the shape and mathematical concept of circle. ... Measurement is the estimation of the magnitude of some attribute of an object, such as its length or weight, relative to a unit of measurement. ... Commensurability in general Generally, two quantities are commensurable if both can be measured in the same units. ...


In algebra, two quantities having a constant ratio are in a special kind of linear relationship called proportionality. This article is about the branch of mathematics. ... In mathematics and the mathematical sciences, a constant is a fixed, but possibly unspecified, value. ... For other uses, see Linear (disambiguation). ... This article is about proportionality, the mathematical relation. ...

Contents

Definitions and notation

Ratios are unitless when they relate quantities of the same dimension. When the two quantities being compared are of different types, the units are the first quantity "per" unit of the second — for example, a speed or velocity can be expressed in "miles per hour". If the second unit is a measure of time, we call this type of ratio a rate. In dimensional analysis, a dimensionless number (or more precisely, a number with the dimensions of 1) is a pure number without any physical units. ... 2-dimensional renderings (ie. ... This article is about velocity in physics. ...


Fractions and percentages are both specific applications of ratios. Fractions relate the part (the numerator) to the whole (the denominator) while percentages indicate parts per 100. For other meanings of the word fraction, see fraction (disambiguation) A cake with one quarter removed. ... The percent sign. ...


A ratio can be written as two numbers separated by a colon (:) which is read as the word "to". For example, a ratio of 2:3 ("two to three") means that the whole is made up of 2 parts of one thing and 3 parts of another — thus, the whole contains five parts in all. To be specific, if a basket contains 2 apples and 3 oranges, then the ratio of apples to oranges is 2:3. If another 2 apples and 3 oranges are added to the basket, then it will contain 4 apples and 6 oranges, resulting in a ratio of 4:6, which is equivalent to a ratio of 2:3 (thus ratios reduce like regular fractions). In this case, 2/5 or 40% of the fruit are apples and 3/5 or 60% are oranges in the basket. This article is about colons in punctuation. ... Reduction Formula We use the technique of integration by parts to evaluate a whole class of integrals by reducing them to simpler forms. ...


Note that in the previous example the proportion of apples in the basket is 2/5 ("two of five" fruits, "two out of five" fruits, "two fifths" of the fruits, or 40% of the fruits). Thus a proportion compares part to whole instead of part to part.


Throughout the physical sciences, ratios of physical quantities are treated as real numbers. For example, the ratio of metres to 1 metre (say, the ratio of the circumference of a certain circle to its radius) is the real number . That is, m/1m = . Accordingly, the classical definition of measurement is the estimation of a ratio between a quantity and a unit of the same kind of quantity. (See also the article on commensurability in mathematics.) == Headline text ==cant there be some kind of picture somewhere so i can see by picture???? Physical science is a encompassing term for the branches of natural science, and science, that study non-living systems, in contrast to the biological sciences. ... In mathematics, the real numbers may be described informally as numbers that can be given by an infinite decimal representation, such as 2. ... This article is about the unit of length. ... Circle illustration This article is about the shape and mathematical concept of circle. ... Measurement is the estimation of the magnitude of some attribute of an object, such as its length or weight, relative to a unit of measurement. ... Commensurability in general Generally, two quantities are commensurable if both can be measured in the same units. ...


In algebra, two quantities having a constant ratio are in a special kind of linear relationship called proportionality. This article is about the branch of mathematics. ... In mathematics and the mathematical sciences, a constant is a fixed, but possibly unspecified, value. ... For other uses, see Linear (disambiguation). ... This article is about proportionality, the mathematical relation. ...


More examples

  • The ratio of heights of the Eiffel Tower (300 m) and the Great Pyramid of Giza (139 m) is 300:139, so one structure is more than twice the height of the other (more precisely, 2.16 times).
  • The ratio of the mass of Jupiter to the mass of the Earth is approximately 318:1, meaning that Jupiter's mass in 318 times larger than the earth.
  • If two axles are connected by gear wheels, the number of times one axle turns for each turn of the other is known as the gear ratio, one familiar example of which is the number of turns of the pedals of a bicycle compared with number of turns of the rear wheel.
  • The ratio of hydrogen atoms to oxygen in water (H2O) is 2:1, which means for every one oxygen atom, there would be two hydrogen atoms as well.
  • Most movie theater screens have an aspect ratio of 16:9, which means that the screen is 16/9 as wide as it is high.
  • In probability, the ratio of the probability of something happening to the probability of it not happening is called the odds of the thing happening.
  • In music, the interval of a perfect fifth is formed by two pitches, or frequencies, at a ratio of 3:2, with the higher note being 1.5 times the frequency of the lower.

The Eiffel Tower (French: , ) is an iron tower built on the Champ de Mars beside the River Seine in Paris. ... The Great Pyramid of Giza is the oldest and largest of the three pyramids in the Giza Necropolis bordering what is now Cairo, Egypt in Africa, and is the only remaining member of the Seven Wonders of the World. ... For other uses, see Mass (disambiguation). ... Atmospheric characteristics Atmospheric pressure 70 kPa Hydrogen ~86% Helium ~14% Methane 0. ... This article is about Earth as a planet. ... An axle is a central shaft for a rotating wheel or gear. ... For other uses, see Gear (disambiguation). ... Gears on a piece of farm equipment, gear ratio 1:1. ... For other uses, see Bicycle (disambiguation). ... This article is about the chemistry of hydrogen. ... General Name, symbol, number oxygen, O, 8 Chemical series nonmetals, chalcogens Group, period, block 16, 2, p Appearance colorless (gas) pale blue (liquid) Standard atomic weight 15. ... Impact from a water drop causes an upward rebound jet surrounded by circular capillary waves. ... A typical multiplex (AMC Promenade 16 in Woodland Hills, Los Angeles, United States). ... The aspect ratio of a two-dimensional shape is the ratio of its longer dimension to its shorter dimension. ... Probability is the likelihood that something is the case or will happen. ... In probability theory and statistics the odds in favor of an event or a proposition are the quantity p / (1 − p), where p is the probability of the event or proposition. ... In music theory, the term interval describes the difference in pitch between two notes. ... The perfect fifth or diapente is one of three musical intervals that span five diatonic scale degrees; the others being the diminished fifth, which is one semitone smaller, and the augmented fifth, which is one semitone larger. ...

See also

Look up ratio in Wiktionary, the free dictionary.

Wikipedia does not have an article with this exact name. ... Wiktionary (a portmanteau of wiki and dictionary) is a multilingual, Web-based project to create a free content dictionary, available in over 150 languages. ... Analogy is both the cognitive process of transferring information from a particular subject (the analogue or source) to another particular subject (the target), and a linguistic expression corresponding to such a process. ... Bold text The compression ratio is a single number that can be used to predict the performance of any engine (such as an internal-combustion engine or a Stirling Engine). ... This article lists conversion factors between a number of units of measurement. ... The aspect ratio of a two-dimensional shape is the ratio of its longer dimension to its shorter dimension. ... In finance, a financial ratio is a ratio of selected values on a enterprises financial statements. ... Not to be confused with Golden mean (philosophy), the felicitous middle between two extremes, Golden numbers, an indicator of years in astronomy and calendar studies, or the Golden Rule. ... Sex ratio by country for total population. ... In probability theory and statistics the odds in favor of an event or a proposition are the quantity p / (1 − p), where p is the probability of the event or proposition. ... This article is about proportionality, the mathematical relation. ... In mathematics, a rational number is a number which can be expressed as a ratio of two integers. ... The level of measurement of a variable in mathematics and statistics is a classification that was proposed in order to describe the nature of information contained within numbers assigned to objects and, therefore, within the variable. ...

External Links

  • Nicolaus Mercator's Ratio Theory at Convergence

  Results from FactBites:
 
The Sharpe Ratio (5543 words)
The historic Sharpe Ratio is closely related to the t-statistic for measuring the statistical significance of the mean differential return.
According to the ratio of expected return to standard deviation, X (5/10, or 0.50) is superior to Y (8/20, or 0.40).
In the original applications of the ratio, where the benchmark is taken to be a one- period riskless asset, the differential return represents the payoff from a unit investment in the fund, financed by borrowing.
Ratios (490 words)
Generally, though, ratio problems will just be a matter of stating ratios or simplifying them.
Depending on the text (or instructor), you may be supposed to keep the units on a ratio.
Ratios are the comparing of one thing to another (miles to gallons, feet to yards, ducks to geese, et cetera).
  More results at FactBites »

 
 

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