Logarithmic one-forms appear in complex analysis and algebraic geometry as differential forms with logarithmic poles. Common methods of estimating include scalar, linear, hyperbolic and logarithmic. This relationship is true regardless of the base of the logarithmic or exponential function. Its inverse is also called the logarithmic (or log) map. The magnitude scale is a reverse logarithmic scale. The following is a list of integrals (antiderivative functions) of logarithmic functions. Other logarithmic scale units include the Richter magnitude scale point. The quantity is proportional to the space between and on a logarithmic scale. An order of magnitude is an approximate position on a logarithmic scale. Its geometric or logarithmic mean is 0.0019. Decibels are expressed in a logarithmic scale. The area interpretation allows the easy derivation of some basic properties of the logarithmic mean. The use of fractional cascading lowers the query time bound by a logarithmic factor. The product of probabilities formula 7 corresponds to addition in logarithmic space. In equal temperament, the octave is divided into equal parts on the logarithmic scale.