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# Ratio

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second. [1]

62 relations: Algebraic number, Ancient Greek, Antecedent (grammar), Archimedean property, Aspect ratio, Barycentric coordinate system, Circle, Commensurability (mathematics), Consequent, Cross-multiplication, Dedekind cut, Dilution ratio, Dimensional analysis, Dimensionless quantity, Divisor, Encyclopædia Britannica Eleventh Edition, Euclid's Elements, Eudoxus of Cnidus, Fibonacci number, Financial ratio, Fold change, Fraction (mathematics), Freudenthal, Geometric mean, Geometric progression, Golden ratio, Interval (music), Irrational number, Irreducible fraction, Latin, Logos, Lowest common denominator, Lumber, Mass concentration (chemistry), Multiplication, Natural number, Odds ratio, Parts-per notation, Percentage, Perpendicular, Pi, Price–performance ratio, Proportionality (mathematics), Pythagoreanism, Rate (mathematics), Rate ratio, Ratio distribution, Ratio estimator, Rational number, Reduction (mathematics), ... Expand index (12 more) »

## Algebraic number

An algebraic number is any complex number (including real numbers) that is a root of a non-zero polynomial (that is, a value which causes the polynomial to equal 0) in one variable with rational coefficients (or equivalently – by clearing denominators – with integer coefficients).

## Ancient Greek

The Ancient Greek language includes the forms of Greek used in ancient Greece and the ancient world from around the 9th century BC to the 6th century AD.

## Antecedent (grammar)

In grammar, an antecedent is an expression (word, phrase, clause, sentence, etc.) that gives its meaning to a proform (pronoun, pro-verb, pro-adverb, etc.). A proform takes its meaning from its antecedent, e.g. "Ava arrived late because traffic held her up".

## Archimedean property

In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some algebraic structures, such as ordered or normed groups, and fields.

## Aspect ratio

The aspect ratio of a geometric shape is the ratio of its sizes in different dimensions.

## Barycentric coordinate system

In geometry, the barycentric coordinate system is a coordinate system in which the location of a point of a simplex (a triangle, tetrahedron, etc.) is specified as the center of mass, or barycenter, of usually unequal masses placed at its vertices.

## Circle

A circle is a simple closed shape.

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## Commensurability (mathematics)

In mathematics, two non-zero real numbers a and b are said to be commensurable if their ratio is a rational number; otherwise a and b are called incommensurable.

## Consequent

A consequent is the second half of a hypothetical proposition.

## Cross-multiplication

In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

## Dedekind cut

In mathematics, Dedekind cuts, named after German mathematician Richard Dedekind, are а method of construction of the real numbers from the rational numbers.

## Dilution ratio

In chemistry and biology, the dilution ratio is the ratio of solute to solvent.

## Dimensional analysis

In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric charge) and units of measure (such as miles vs. kilometers, or pounds vs. kilograms) and tracking these dimensions as calculations or comparisons are performed.

## Dimensionless quantity

In dimensional analysis, a dimensionless quantity is a quantity to which no physical dimension is assigned.

## Divisor

In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.

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## Encyclopædia Britannica Eleventh Edition

The Encyclopædia Britannica Eleventh Edition (1910–11) is a 29-volume reference work, an edition of the Encyclopædia Britannica.

## Euclid's Elements

The Elements (Στοιχεῖα Stoicheia) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.

## Eudoxus of Cnidus

Eudoxus of Cnidus (Εὔδοξος ὁ Κνίδιος, Eúdoxos ho Knídios) was an ancient Greek astronomer, mathematician, scholar, and student of Archytas and Plato.

## Fibonacci number

In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones: Often, especially in modern usage, the sequence is extended by one more initial term: By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.

## Financial ratio

A financial ratio or accounting ratio is a relative magnitude of two selected numerical values taken from an enterprise's financial statements.

## Fold change

Fold change is a measure describing how much a quantity changes between an original and a subsequent measurement.

## Fraction (mathematics)

A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.

## Freudenthal

Freudenthal is a German surname.

## Geometric mean

In mathematics, the geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

## Geometric progression

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

## Golden ratio

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

## Interval (music)

In music theory, an interval is the difference between two pitches.

## Irrational number

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.

## Irreducible fraction

An irreducible fraction (or fraction in lowest terms or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and -1, when negative numbers are considered).

## Latin

Latin (Latin: lingua latīna) is a classical language belonging to the Italic branch of the Indo-European languages.

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## Logos

Logos (lógos; from λέγω) is a term in Western philosophy, psychology, rhetoric, and religion derived from a Greek word variously meaning "ground", "plea", "opinion", "expectation", "word", "speech", "account", "reason", "proportion", and "discourse",Henry George Liddell and Robert Scott,: logos, 1889.

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## Lowest common denominator

In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the lowest common multiple of the denominators of a set of fractions.

## Lumber

Lumber (American English; used only in North America) or timber (used in the rest of the English speaking world) is a type of wood that has been processed into beams and planks, a stage in the process of wood production.

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## Mass concentration (chemistry)

In chemistry, the mass concentration is defined as the mass of a constituent divided by the volume of the mixture: For a pure chemical the mass concentration equals its density (mass divided by volume); thus the mass concentration of a component in a mixture can be called the density of a component in a mixture.

## Multiplication

Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.

## Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

## Odds ratio

In statistics, the odds ratio (OR) is one of three main ways to quantify how strongly the presence or absence of property A is associated with the presence or absence of property B in a given population.

## Parts-per notation

In science and engineering, the parts-per notation is a set of pseudo-units to describe small values of miscellaneous dimensionless quantities, e.g. mole fraction or mass fraction.

## Percentage

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

## Perpendicular

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).

## Pi

The number is a mathematical constant.

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## Price–performance ratio

In economics and engineering, the price–performance ratio refers to a product's ability to deliver performance, of any sort, for its price.

## Proportionality (mathematics)

In mathematics, two variables are proportional if there is always a constant ratio between them.

## Pythagoreanism

Pythagoreanism originated in the 6th century BC, based on the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans, who were considerably influenced by mathematics and mysticism.

## Rate (mathematics)

In mathematics, a rate is the ratio between two related quantities.

## Rate ratio

A rate ratio (sometimes called an incidence density ratio) in epidemiology, is a relative difference measure used to compare the incidence rates of events occurring at any given point in time.

## Ratio distribution

A ratio distribution (or quotient distribution) is a probability distribution constructed as the distribution of the ratio of random variables having two other known distributions.

## Ratio estimator

The ratio estimator is a statistical parameter and is defined to be the ratio of means of two random variables.

## Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

## Reduction (mathematics)

In mathematics, reduction refers to the rewriting of an expression into a simpler form.

## Relative risk

In statistics and epidemiology, relative risk or risk ratio (RR) is the ratio of the probability of an event occurring (for example, developing a disease, being injured) in an exposed group to the probability of the event occurring in a comparison, non-exposed group.

## Scale (map)

The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground.

## Sex ratio

The sex ratio is the ratio of males to females in a population.

## Silver ratio

In mathematics, two quantities are in the silver ratio (also silver mean or silver constant) if the ratio of the sum of the smaller and twice the larger of those quantities, to the larger quantity, is the same as the ratio of the larger one to the smaller one (see below).

## Slope

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

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## Square

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.

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## Square root of 2

The square root of 2, or the (1/2)th power of 2, written in mathematics as or, is the positive algebraic number that, when multiplied by itself, gives the number 2.

## Television

Television (TV) is a telecommunication medium used for transmitting moving images in monochrome (black and white), or in colour, and in two or three dimensions and sound.

## Transcendental number

In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a nonzero polynomial equation with integer (or, equivalently, rational) coefficients.

## Trilinear coordinates

In geometry, the trilinear coordinates x:y:z of a point relative to a given triangle describe the relative directed distances from the three sidelines of the triangle.

## Unit of measurement

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

## Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

## References

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