Noun:

அஷர கணிதத்தில் மடக்கை,

logarithm's Usage Examples:

JOHN NAPIER (1550-1617), Scottish mathematician and inventor of logarithms, was born at Merchiston near Edinburgh in 1550, and was the eighth Napier of Merchiston.

The table gives the logarithms of sines for every minute of seven figures; it is arranged semi-quadrantally, so that the differentiae, which are the differences of the two logarithms in the same line, are the logarithms of the tangents.

Byrgio multis annis ante editionem Neperianam viam praeiverent ad hos ipsissimos logarithmos.

- Nathaniel Roe's Tabulae logarithmicae (1633) was the first complete seven-figure 1 In describing the contents of the works referred to, the language and notation of the present day have been adopted, so that for example a table to radius 10,000,000 is described as a table to 7 places, and so on.

An alternative method of developing the theory of the exponential function is to start from the definition exp x I +x+x2/2 !By the exponential and multinomial theorems we obtain the results) 1,r -1 (E7r) !The exponential function, exp x, may be defined as the inverse of the logarithm: thus x exp y if y log x.

2 In this treatise (which was written before Napier had invented the name logarithm) logarithms are called "artificial numbers.

Ellis in a paper "on the potential radix as a means of calculating logarithms," printed in the Proceedings of the Royal Society, vol.

, in which the series is always convergent, so that the formula affords a method of deducing the logarithm of one number from that of another.

The fact that when the base is io the mantissa of the logarithm is independent of the position of the decimal point in the number affords the chief reason for the choice of io as base.

The table appeared in Schulze's Neue and erweiterte Sammlung logarithmischer Tafeln (1778), and was reprinted in Vega's Thesaurus (1794), already referred to.

For the purpose of thus simplifying the operations of arithmetic, the base is taken to be Io, and use is made of tables of logarithms in which the values of x, the logarithm, corresponding to values of m, the number, are tabulated.

The logarithmic formulae for these concentration cells indicate that theoretically their electromotive force can be increased to any extent by diminishing without limit the concentration of the more dilute solution, log c i /c 2 then becoming very great.

Six logarithms omitted in Schulze's work, and which Wolfram had been prevented from computing by a serious illness, were published subsequently, and the table as given by Vega is complete.

Synonyms:

exponent, index, natural logarithm, power, Napierian logarithm, common logarithm, log,

Antonyms:

powerless, powerful, unpersuasiveness, uninterestingness, powerlessness,