common logarithm

Briggs helped to develop the common logarithm, described as "one of the most useful systems for mathematics".

The common logarithm is the logarithm with base 10.

Common logarithms were invented to simplify such calculations.

"The first positive even integer" and "the common logarithm of 100" both "rigidly", refer to the number two.

The strength of an earthquake is measured by taking the common logarithm of the energy emitted at the quake.

Logarithms to base 10 are called common logarithms.

The term "mantissa" may cause confusion, however, because it can also refer to the fractional part of the common logarithm.

For example, Briggs' first table contained the common logarithms of all integers in the range 1-1000, with a precision of 8 digits.

Tables containing common logarithms (base-10) were extensively used in computations prior to the advent of computers and calculators.

A similarly simple transformation can be used if the common logarithm should be exchanged by the natural logarithm.

The computational advance available via common logarithms, the converse of powered numbers or exponential notation, was such that it made calculations by hand much quicker.

The net gain in dB is calculated by taking 10 times the common logarithm of the ratio of the output power to the input power.

See common logarithm for details, including the use of characteristics and mantissas of common (i.e., base-10) logarithms.

They are specified by the optical density (OD) of the filter, which is the negative of the common logarithm of the transmission coefficient.

In mathematical terms, the quantity of nines is equal to the negative common logarithm of one minus the actual number, i.e. log(1 n).

On calculators it is usually "log", but mathematicians usually mean natural logarithm rather than common logarithm when they write "log".

Other units include the nat, based on the natural logarithm, and the hartley, based on the base 10 or common logarithm.

The last number (0.079181)-the fractional part of the logarithm of 120, known as the mantissa of the common logarithm of 120-was found in the table.

Common logarithms are sometimes also called "Briggsian logarithms" after Henry Briggs, a 17th-century British mathematician.

Mantissa is a disambiguation page; see common logarithm for the traditional concept of mantissa; see significand for the modern concept used in computing.

Tables of common logarithms were used until the invention of computers and electronic calculators to do rapid multiplications, divisions, and exponentiations, including the extraction of nth roots.

More precisely, the order of magnitude of a number can be defined in terms of the common logarithm, usually as the integer part of the logarithm, obtained by truncation.

Different disciplines have different conventions as to whether absorbance is Napierian or decadic, i.e., defined with respect to the transmission via natural or common logarithm.

Such a table of "common logarithms" gave the logarithm, often to 4 or 5 decimal places, of each number in the left-hand column, which ran from 1 to 10 by small increments, perhaps 0.01 or 0.001.

The Nernst equation is frequently expressed in terms of base 10 logarithms (i.e., common logarithms) rather than natural logarithms, in which case it is written, for a cell at 25 C: