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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.]

- thermodynamics, the heat capacity ratio or adiabatic index or ratio of specific heats or Poisson constant, is the ratio of the heat capacity at constant pressure...

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

- pressure is the result of an exponent of the dynamic compression ratio. This exponent is a polytropic value for the ratio of variable heats for air and...

- dilution ratio is the ratio of solute to solvent. It is often used for simple dilutions, one in which a unit volume of a liquid material of interest is...

- notation, the exponent is chosen so that the absolute value of the coefficient is at least one but less than ten. Decimal floating point is a computer arithmetic...

- 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 background...

- addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total. Besides numbers, other types of values can...

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

- an exponent of 2. Less well known but equally (if not more) effective is the Pythagenpat formula, developed by David Smyth. Exponent = ( R + R A G )...

- statistics, the likelihood-ratio test ****esses the goodness of fit of two competing statistical models based on the ratio of their likelihoods, specifically...

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

- pressure is the result of an exponent of the dynamic compression ratio. This exponent is a polytropic value for the ratio of variable heats for air and...

- dilution ratio is the ratio of solute to solvent. It is often used for simple dilutions, one in which a unit volume of a liquid material of interest is...

- notation, the exponent is chosen so that the absolute value of the coefficient is at least one but less than ten. Decimal floating point is a computer arithmetic...

- 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 background...

- addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total. Besides numbers, other types of values can...

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

- an exponent of 2. Less well known but equally (if not more) effective is the Pythagenpat formula, developed by David Smyth. Exponent = ( R + R A G )...

- statistics, the likelihood-ratio test ****esses the goodness of fit of two competing statistical models based on the ratio of their likelihoods, specifically...

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