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logarithm Definition

loga·rithm (lôgə rit̸h′əm, läg-)

noun

Math. the exponent expressing the power to which a fixed number (the base) must be raised in order to produce a given number (the antilogarithm): logarithms computed to the base 10 are often used for shortening mathematical calculations

Etymology: ModL logarithmus < Gr logos, a word, proportion, ratio (see logic) + arithmos, number (see arithmetic)

logarithm Related Forms

log′a·rith·mic adjective log′a·rith·mi·cally adverb

logarithm (log) Telecom Definition

See log.

logarithm Usage Examples

Preposition: of

  • ratio: PAM matrices contain, for a given PAM distance, the negative logarithms of this ratio for each amino acid pair.
  • number: He published his full theory of logarithms of complex numbers in 1751.
  • value: Log If this radio button is selected, pie size is based on a logarithm of the attribute values.
  • time: Records always increase ( as the logarithm of the time over which they are kept ).
  • frequency: The axis data must be the common logarithm of frequency in Hertz.
  • amplitude: The magnitude value is proportional to the logarithm of the amplitude of the strongest wave during an earthquake.

Converse of object

  • take: The commonest method of normalization is to take the logarithm of all the values.
  • use: Homework Once the children come home, Dad supervises the homework, using logarithms invented by John Napier of Edinburgh.
  • invent: Homework Once the children come home, Dad supervises the homework, using logarithms invented by John Napier of Edinburgh.
  • represent: The values represent the approximate logarithm of the flux density.
  • add: Logarithms are ' traditionally ' used for multiplication ( by adding the logarithms ) and division ( by subtracting the logarithms ).
  • give: LN A function giving the natural logarithm of its argument.

Adjective modifier

  • discrete: In fact GAP supports finite fields with elements represented via discrete logarithms only up to a given size.
  • natural: Returns: the value ln a, the natural logarithm of a.
  • negative: The pH scale is the negative logarithm of the hydrogen ion content of water.
  • common: The axis data must be the common logarithm of frequency in Hertz.

Modifies a noun

  • function: The number of sides grew like the logarithm function.
  • base: We actually had functions to use if you really wanted to use the natural logarithm base, but they were all uppercase.
  • problem: With a reduction from the discrete logarithm problem to Gauss sum estimation we also give evidence that this problem is hard for classical algorithms.
  • table: During his reign the Authorized Version of the Bible was published and the Scot, Napier, devised logarithm tables.

Browse dictionary entries near logarithm

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