The difference between Complex measure and Measure
When used as nouns, complex measure means a function whose domain is a σ-algebra, whose codomain is the set of complex numbers, and which is countably additive, whereas measure means moderation, temperance.
Measure is also verb with the meaning: to ascertain the quantity of a unit of material via calculated comparison with respect to a standard.
check bellow for the other definitions of Complex measure and Measure
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Complex measure as a noun (analysis):
A function whose domain is a σ-algebra, whose codomain is the set of complex numbers, and which is countably additive.
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Measure as a noun (obsolete):
A prescribed quantity or extent. Moderation, temperance. A limit that cannot be exceeded; a bound. (Now chiefly in set phrases.) An (unspecified) portion or quantity.
Examples:
"a measure of salt"
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Measure as a noun (now, chiefly, cooking):
The act or result of measuring. A receptacle or vessel of a standard size, capacity etc. as used to deal out specific quantities of some substance. A standard against which something can be judged; a criterion. Any of various standard units of capacity. A unit of measurement. The size of someone or something, as ascertained by measuring. (Now chiefly in .) The act or process of measuring. A ruler, measuring stick, or graduated tape used to take measurements. A number which is contained in a given number a number of times without a remainder; a divisor or factor. A bed or stratum. A function that assigns a non-negative number to a given set following the mathematical nature that is common among length, volume, probability and the like.
Examples:
"Honesty is the true measure of a man."
"The villagers paid a tithe of a thousand measures of corn."
"rfquotek Shakespeare"
"the greatest common measure of two or more numbers"
"coal measures; lead measures"
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Measure as a noun (now, archaic):
Metrical rhythm. A melody. A dance. The manner of ordering and combining the quantities, or long and short syllables; meter; rhythm; hence, a metrical foot. A musical designation consisting of all notes and or rests delineated by two vertical bars; an equal and regular division of the whole of a composition; a bar.
Examples:
"a poem in iambic measure"
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Measure as a noun (in plural):
A course of action. Actions designed to achieve some purpose; plans. A piece of legislation.
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Measure as a verb:
To ascertain the quantity of a unit of material via calculated comparison with respect to a standard.
Examples:
"We measured the temperature with a thermometer. You should measure the angle with a spirit level."
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Measure as a verb:
To be of (a certain size), to have (a certain measurement)
Examples:
"The window measured two square feet."
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Measure as a verb:
To estimate the unit size of something.
Examples:
"I measure that at 10 centimetres."
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Measure as a verb:
To judge, value, or appraise.
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Measure as a verb:
To obtain or set apart; to mark in even increments.
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Measure as a verb (rare):
To traverse, cross, pass along; to travel over.
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Measure as a verb:
To adjust by a rule or standard.
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Measure as a verb:
To allot or distribute by measure; to set off or apart by measure; often with out or off.