Word Meanings - LOGARITHM - Book Publishers vocabulary database

One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland , to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division. Note: The relation of logarithms to common

Additional info about word: LOGARITHM

One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland , to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division. Note: The relation of logarithms to common numbers is that of numbers in an arithmetical series to corresponding numbers in a geometrical series, so that sums and differences of the former indicate respectively products and quotients of the latter; thus 0 1 2 3 4 Indices or logarithms 1 10 100 1000 10,000 Numbers in geometrical progression Hence, the logarithm of any given number is the exponent of a power to which another given invariable number, called the base, must be raised in order to produce that given number. Thus, let 10 be the base, then 2 is the logarithm of 100, because 102 = 100, and 3 is the logarithm of 1,000, because 103 = 1,000. Arithmetical complement of a logarithm, the difference between a logarithm and the number ten. -- Binary logarithms. See under Binary. -- Common logarithms, or Brigg's logarithms, logarithms of which the base is 10; -- so called from Henry Briggs, who invented them. -- Gauss's logarithms, tables of logarithms constructed for facilitating the operation of finding the logarithm of the sum of difference of two quantities from the logarithms of the quantities, one entry of those tables and two additions or subtractions answering the purpose of three entries of the common tables and one addition or subtraction. They were suggested by the celebrated German mathematician Karl Friedrich Gauss , and are of great service in many astronomical computations. -- Hyperbolic, or Napierian, logarithms, those logarithms (devised by John Speidell, 1619) of which the base is 2.7182818; -- so called from Napier, the inventor of logarithms. -- Logistic or Proportionallogarithms., See under Logistic.

Related words: (words related to LOGARITHM)

• CLASSIFIC
  Characterizing a class or classes; relating to classification.
• CLASSIFICATORY
  Pertaining to classification; admitting of classification. "A classificatory system." Earle.
• CLASSICISM
  A classic idiom or expression; a classicalism. C. Kingsley.
• RELATIONSHIP
  The state of being related by kindred, affinity, or other alliance. Mason.
• PLACEMENT
  1. The act of placing, or the state of being placed. 2. Position; place.
• CLASSIS
  An ecclesiastical body or judicat (more info) 1. A class or order; sort; kind. His opinion of that classis of men. Clarendon.
• ARITHMETICAL
  Of or pertaining to arithmetic; according to the rules or method of arithmetic. Arithmetical complement of a logarithm. See Logarithm. -- Arithmetical mean. See Mean. -- Arithmetical progression. See Progression. -- Arithmetical proportion. See
• COMMONER
  1. One of the common people; one having no rank of nobility. All below them even their children, were commoners, and in the eye law equal to each other. Hallam. 2. A member of the House of Commons. 3. One who has a joint right in common ground.
• PLACENTARY
  Having reference to the placenta; as, the placentary system of classification.
• PLACE-KICK
  To make a place kick; to make by a place kick. -- Place"-kick`er, n.
• DEVISABLE
  1. Capable of being devised, invented, or contrived. 2. Capable of being bequeathed, or given by will.
• DIVISIONARY
  Divisional.
• DIVISIONALLY
  So as to be divisional.
• SUBTRACTION
  The taking of a lesser number or quantity from a greater of the same kind or denomination; an operation for finding the difference between two numbers or quantities. (more info) 1. The act or operation of subtracting or taking away a part.
• COMMONISH
  Somewhat common; commonplace; vulgar.
• CLASSMATE
  One who is in the same class with another, as at school or college.
• ADDITION
  That part of arithmetic which treats of adding numbers. (more info) 1. The act of adding two or more things together; -- opposed to subtraction or diminution. "This endless addition or addibility of numbers." Locke. 2. Anything added; increase;
• COMMONLY
  1. Usually; generally; ordinarily; frequently; for the most part; as, confirmed habits commonly continue trough life. 2. In common; familiary. Spenser.
• DEVISAL
  A devising. Whitney.
• ADDITIONALLY
  By way of addition.
• UNCOMMON
  Not common; unusual; infrequent; rare; hence, remarkable; strange; as, an uncommon season; an uncommon degree of cold or heat; uncommon courage. Syn. -- Rare; scarce; infrequent; unwonted. -- Un*com"mon*ly, adv. -- Un*com"mon*ness, n.
• FELLOW-COMMONER
  A student at Cambridge University, England, who commons, or dines, at the Fellow's table.
• INTERCOMMON
  To graze cattle promiscuously in the commons of each other, as the inhabitants of adjoining townships, manors, etc. (more info) 1. To share with others; to participate; especially, to eat at the same table. Bacon.
• MISRELATION
  Erroneous relation or narration. Abp. Bramhall.
• REPLACEMENT
  The removal of an edge or an angle by one or more planes. (more info) 1. The act of replacing.
• MISDIVISION
  Wrong division.
• SURADDITION
  Something added or appended, as to a name. Shak.