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The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718 281 828 459. [1] The natural logarithm of x is generally written as ln x, log e x, or sometimes, if the base e is implicit, simply log x.
ln(r) is the standard natural logarithm of the real number r. Arg(z) is the principal value of the arg function; its value is restricted to (−π, π]. It can be computed using Arg(x + iy) = atan2(y, x). Log(z) is the principal value of the complex logarithm function and has imaginary part in the range (−π, π].
Binary logarithms are also used in computer science, where the binary system is ubiquitous; in music theory, where a pitch ratio of two (the octave) is ubiquitous and the number of cents between any two pitches is a scaled version of the binary logarithm, or log 2 times 1200, of the pitch ratio (that is, 100 cents per semitone in conventional ...
Example gamma ray log. Blue and black lines indicate the measured gamma rays. Sand section of interest is located at bottom of log where the log moves to the left. Gamma ray logging is a method of measuring naturally occurring gamma radiation to characterize the rock or sediment in a borehole or drill hole.
Composite wireline log for the Lisburne 1 well, Alaska - the neutron and density logs used radioactive sources. Sealed radioactive sources are routinely used in formation evaluation of both hydraulically fractured and non-fracked wells.
LRL312 Mega 98.3, LR5 Pop Radio 10 1.5 and LRL317 FM Federal: October 1, 2011: Guyed 210 Fire Fire started in a leftover deposit close to one of the guy wire anchors. [30] [31] [32] Baofeng Radio & TV Transmitting Station, Baofeng, Pingdingshan, Henan, China: March 23, 2012: Free-standing steel lattice tower 136 [33] High winds [34]
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The logarithmic decrement can be obtained e.g. as ln(x 1 /x 3).Logarithmic decrement, , is used to find the damping ratio of an underdamped system in the time domain.. The method of logarithmic decrement becomes less and less precise as the damping ratio increases past about 0.5; it does not apply at all for a damping ratio greater than 1.0 because the system is overdamped.