# Arithmetical complement of a number

- Arithmetical complement of a number
- Complement Com"ple*ment, n. [L. complementun: cf. F.
compl['e]ment. See {Complete}, v. t., and cf. {Compliment}.]
1. That which fills up or completes; the quantity or number
required to fill a thing or make it complete.
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2. That which is required to supply a deficiency, or to
complete a symmetrical whole.
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History is the complement of poetry. --Sir J.
Stephen.
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3. Full quantity, number, or amount; a complete set;
completeness.
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To exceed his complement and number appointed him
which was one hundred and twenty persons. --Hakluyt.
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4. (Math.) A second quantity added to a given quantity to
make it equal to a third given quantity.
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5. Something added for ornamentation; an accessory. [Obs.]
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Without vain art or curious complements. --Spenser.
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6. (Naut.) The whole working force of a vessel.
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7. (Mus.) The interval wanting to complete the octave; -- the
fourth is the complement of the fifth, the sixth of the
third.
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8. A compliment. [Obs.] --Shak.
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{Arithmetical compliment of a logarithm}. See under
{Logarithm}.

{Arithmetical complement of a number} (Math.), the difference
between that number and the next higher power of 10; as, 4
is the complement of 6, and 16 of 84.

{Complement of an arc} or {Complement of an angle} (Geom.),
the difference between that arc or angle and 90[deg].

{Complement of a parallelogram}. (Math.) See {Gnomon}.

{In her complement} (Her.), said of the moon when represented
as full.
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*The Collaborative International Dictionary of English.
2000.*

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**Arithmetical complement of a logarithm** — Logarithm Log a*rithm (l[o^]g [.a]*r[i^][th] m), n. [Gr. lo gos word, account, proportion + ariqmo s number: cf. F. logarithme.] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550 1617), to abridge… … The Collaborative International Dictionary of English

**Arithmetical compliment of a logarithm** — Complement Com ple*ment, n. [L. complementun: cf. F. compl[ e]ment. See {Complete}, v. t., and cf. {Compliment}.] 1. That which fills up or completes; the quantity or number required to fill a thing or make it complete. [1913 Webster] 2. That… … The Collaborative International Dictionary of English

**Complement of a parallelogram** — Complement Com ple*ment, n. [L. complementun: cf. F. compl[ e]ment. See {Complete}, v. t., and cf. {Compliment}.] 1. That which fills up or completes; the quantity or number required to fill a thing or make it complete. [1913 Webster] 2. That… … The Collaborative International Dictionary of English

**Complement of an angle** — Complement Com ple*ment, n. [L. complementun: cf. F. compl[ e]ment. See {Complete}, v. t., and cf. {Compliment}.] 1. That which fills up or completes; the quantity or number required to fill a thing or make it complete. [1913 Webster] 2. That… … The Collaborative International Dictionary of English

**Complement of an arc** — Complement Com ple*ment, n. [L. complementun: cf. F. compl[ e]ment. See {Complete}, v. t., and cf. {Compliment}.] 1. That which fills up or completes; the quantity or number required to fill a thing or make it complete. [1913 Webster] 2. That… … The Collaborative International Dictionary of English

**Complement** — Com ple*ment, n. [L. complementun: cf. F. compl[ e]ment. See {Complete}, v. t., and cf. {Compliment}.] 1. That which fills up or completes; the quantity or number required to fill a thing or make it complete. [1913 Webster] 2. That which is… … The Collaborative International Dictionary of English

**Arithmetical hierarchy** — In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene hierarchy classifies certain sets based on the complexity of formulas that define them. Any set that receives a classification is called arithmetical. The… … Wikipedia

**Arithmetical set** — In mathematical logic, an arithmetical set (or arithmetic set) is a set of natural numbers that can be defined by a formula of first order Peano arithmetic. The arithmetical sets are classified by the arithmetical hierarchy.A function f:subseteq… … Wikipedia

**Number** — For other uses, see Numbers (disambiguation). A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational… … Wikipedia

**In her complement** — Complement Com ple*ment, n. [L. complementun: cf. F. compl[ e]ment. See {Complete}, v. t., and cf. {Compliment}.] 1. That which fills up or completes; the quantity or number required to fill a thing or make it complete. [1913 Webster] 2. That… … The Collaborative International Dictionary of English