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Exponent of a ratio

Exponent Ex*po"nent, n. [L. exponens, -entis, p. pr. of exponere to put out, set forth, expose. See Expound.] 1. (Alg.) A number, letter, or any quantity written on the right hand of and above another quantity, and denoting how many times the latter is repeated as a factor to produce the power indicated; Note: thus a^2 denotes the second power, and a^n the xth power, of a (2 and x being the exponents). A fractional exponent, or index, is used to denote the root of a quantity. Thus, a^1/3 denotes the third or cube root of a. 2. One who, or that which, stands as an index or representative; as, the leader of a party is the exponent of its principles. Exponent of a ratio, the quotient arising when the antecedent is divided by the consequent; thus, 6 is the exponent of the ratio of 30 to 5. [R.]

Exponent Ex*po"nent, n. [L. exponens, -entis, p. pr. of exponere to put out, set forth, expose. See Expound.] 1. (Alg.) A number, letter, or any quantity written on the right hand of and above another quantity, and denoting how many times the latter is repeated as a factor to produce the power indicated; Note: thus a^2 denotes the second power, and a^n the xth power, of a (2 and x being the exponents). A fractional exponent, or index, is used to denote the root of a quantity. Thus, a^1/3 denotes the third or cube root of a. 2. One who, or that which, stands as an index or representative; as, the leader of a party is the exponent of its principles. Exponent of a ratio, the quotient arising when the antecedent is divided by the consequent; thus, 6 is the exponent of the ratio of 30 to 5. [R.]

- In thermal physics and thermodynamics, the heat capacity ratio or adiabatic index or ratio of specific heats or Poisson constant, is the ratio of the heat...

- Exponentiation is a mathematical operation, written as bn, involving two numbers, the base b and the exponent n. When n is a positive integer, exponentiation...

- The static compression ratio of an internal combustion engine or external combustion engine is a value that represents the ratio of the volume of its combustion...

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- In chemistry and biology, the dilution ratio is the ratio of solute to solvent. It is often used for simple dilutions, one in which a unit volume of a...

- In mathematics, summation is the addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total. Besides numbers...

- Signal-to-noise ratio (abbreviated SNR or S/N) is a measure used in science and engineering that compares the level of a desired signal to the level of...

- Critical exponents describe the behavior of physical quantities near continuous phase transitions. It is believed, though not proven, that they are universal...

- In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. Thus, for instance, 6 is the product...

- In arithmetic, a quotient (from Latin: quotiens "how many times", pronounced /ˈkwoʊʃənt/) is the quantity produced by the division of two numbers. The...

- Exponentiation is a mathematical operation, written as bn, involving two numbers, the base b and the exponent n. When n is a positive integer, exponentiation...

- The static compression ratio of an internal combustion engine or external combustion engine is a value that represents the ratio of the volume of its combustion...

- Scientific notation (also referred to as scientific form or standard index form, or standard form in the UK) is a way of expressing numbers that are too...

- In chemistry and biology, the dilution ratio is the ratio of solute to solvent. It is often used for simple dilutions, one in which a unit volume of a...

- In mathematics, summation is the addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total. Besides numbers...

- Signal-to-noise ratio (abbreviated SNR or S/N) is a measure used in science and engineering that compares the level of a desired signal to the level of...

- Critical exponents describe the behavior of physical quantities near continuous phase transitions. It is believed, though not proven, that they are universal...

- In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. Thus, for instance, 6 is the product...

- In arithmetic, a quotient (from Latin: quotiens "how many times", pronounced /ˈkwoʊʃənt/) is the quantity produced by the division of two numbers. The...

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