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76 relations: Alphonse Antonio de Sarasa, Apparent magnitude, Baker's theorem, Benford's law, Binary logarithm, Bode plot, Bygrave slide rule, Cologarithm, Common logarithm, Complex logarithm, Decibel, Discrete logarithm, Discrete logarithm records, E (mathematical constant), ElGamal encryption, Grégoire de Saint-Vincent, Gumbel distribution, Harmonic series (mathematics), Henry Briggs (mathematician), History of logarithms, Hyperbolic sector, Iterated logarithm, John Napier, Law of the iterated logarithm, Likelihood-ratio test, List of exponential topics, List of integrals of logarithmic functions, List of logarithmic identities, List of representations of e, Log-normal distribution, Log-periodic antenna, Logarithm, Logarithm of a matrix, Logarithmic convolution, Logarithmic decrement, Logarithmic derivative, Logarithmic differentiation, Logarithmic distribution, Logarithmic form, Logarithmic growth, Logarithmic integral function, Logarithmic number system, Logarithmic scale, Logarithmic spiral, Logarithmic timeline, Log–log plot, Logit, LogSumExp, Mantissa, Mathematical table, ..., Mel scale, Mercator projection, Mercator series, Moment magnitude scale, Napierian logarithm, Natural logarithm, Natural logarithm of 2, Neper, Otis King, PH, Pollard's kangaroo algorithm, Pollard's rho algorithm for logarithms, Polylogarithm, Polylogarithmic function, Prime number theorem, Richter magnitude scale, Schnorr signature, Semi-log plot, Significand, Slide rule, Smearing retransformation, Sound intensity, Sound power, Super-logarithm, Time complexity, Weber–Fechner law. Expand index (26 more) »
Alphonse Antonio de Sarasa
Alphonse Antonio de Sarasa was a Jesuit mathematician who contributed to the understanding of logarithms, particularly as areas under a hyperbola.
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Apparent magnitude
The apparent magnitude of a celestial object is a number that is a measure of its brightness as seen by an observer on Earth.
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Baker's theorem
In transcendental number theory, a mathematical discipline, Baker's theorem gives a lower bound for the absolute value of linear combinations of logarithms of algebraic numbers.
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Benford's law
Benford's law, also called Newcomb-Benford's law, law of anomalous numbers, and first-digit law, is an observation about the frequency distribution of leading digits in many real-life sets of numerical data.
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Binary logarithm
In mathematics, the binary logarithm is the power to which the number must be raised to obtain the value.
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Bode plot
In electrical engineering and control theory, a Bode plot is a graph of the frequency response of a system.
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Bygrave slide rule
The Bygrave slide rule is a slide rule named for its inventor, Captain L. G. Bygrave of the RAF.
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Cologarithm
In mathematics, the base-b cologarithm, sometimes shortened to colog, of a number is the base-b logarithm of the reciprocal of the number.
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Common logarithm
In mathematics, the common logarithm is the logarithm with base 10.
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Complex logarithm
In complex analysis, a complex logarithm of the non-zero complex number, denoted by, is defined to be any complex number for which.
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Decibel
The decibel (symbol: dB) is a unit of measurement used to express the ratio of one value of a physical property to another on a logarithmic scale.
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Discrete logarithm
In the mathematics of the real numbers, the logarithm logb a is a number x such that, for given numbers a and b. Analogously, in any group G, powers bk can be defined for all integers k, and the discrete logarithm logb a is an integer k such that.
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Discrete logarithm records
Discrete logarithm records are the best results achieved to date in solving the discrete logarithm problem, which is the problem of finding solutions x to the equation gx.
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E (mathematical constant)
The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.
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ElGamal encryption
In cryptography, the ElGamal encryption system is an asymmetric key encryption algorithm for public-key cryptography which is based on the Diffie–Hellman key exchange.
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Grégoire de Saint-Vincent
Grégoire de Saint-Vincent (22 March 1584 Bruges – 5 June 1667 Ghent) was a Flemish Jesuit and mathematician.
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Gumbel distribution
In probability theory and statistics, the Gumbel distribution (Generalized Extreme Value distribution Type-I) is used to model the distribution of the maximum (or the minimum) of a number of samples of various distributions.
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Harmonic series (mathematics)
In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are,,, etc., of the string's fundamental wavelength.
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Henry Briggs (mathematician)
Henry Briggs (February 1561 – 26 January 1630) was an English mathematician notable for changing the original logarithms invented by John Napier into common (base 10) logarithms, which are sometimes known as Briggsian logarithms in his honour.
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History of logarithms
The history of logarithms is the story of a correspondence (in modern terms, a group isomorphism) between multiplication on the positive real numbers and addition on the real number line that was formalized in seventeenth century Europe and was widely used to simplify calculation until the advent of the digital computer.
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Hyperbolic sector
A hyperbolic sector is a region of the Cartesian plane bounded by rays from the origin to two points (a, 1/a) and (b, 1/b) and by the rectangular hyperbola xy.
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Iterated logarithm
In computer science, the iterated logarithm of n, written n (usually read "log star"), is the number of times the logarithm function must be iteratively applied before the result is less than or equal to 1.
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John Napier
John Napier of Merchiston (1550 – 4 April 1617); also signed as Neper, Nepair; nicknamed Marvellous Merchiston) was a Scottish landowner known as a mathematician, physicist, and astronomer. He was the 8th Laird of Merchiston. His Latinized name was Ioannes Neper. John Napier is best known as the discoverer of logarithms. He also invented the so-called "Napier's bones" and made common the use of the decimal point in arithmetic and mathematics. Napier's birthplace, Merchiston Tower in Edinburgh, is now part of the facilities of Edinburgh Napier University. Napier died from the effects of gout at home at Merchiston Castle and his remains were buried in the kirkyard of St Giles. Following the loss of the kirkyard there to build Parliament House, he was memorialised at St Cuthbert's at the west side of Edinburgh.
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Law of the iterated logarithm
In probability theory, the law of the iterated logarithm describes the magnitude of the fluctuations of a random walk.
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Likelihood-ratio test
In statistics, a likelihood ratio test (LR test) is a statistical test used for comparing the goodness of fit of two statistical models — a null model against an alternative model.
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List of exponential topics
This is a list of exponential topics, by Wikipedia page.
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List of integrals of logarithmic functions
The following is a list of integrals (antiderivative functions) of logarithmic functions.
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List of logarithmic identities
In mathematics, there are many logarithmic identities.
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List of representations of e
The mathematical constant ''e'' can be represented in a variety of ways as a real number.
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Log-normal distribution
In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed.
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Log-periodic antenna
A log-periodic antenna (LP), also known as a log-periodic array or log-periodic aerial, is a multi-element, directional antenna designed to operate over a wide band of frequencies.
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Logarithm
In mathematics, the logarithm is the inverse function to exponentiation.
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Logarithm of a matrix
In mathematics, a logarithm of a matrix is another matrix such that the matrix exponential of the latter matrix equals the original matrix.
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Logarithmic convolution
In mathematics, the scale convolution of two functions s(t) and r(t), also known as their logarithmic convolution is defined as the function when this quantity exists.
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Logarithmic decrement
Logarithmic decrement, \delta, is used to find the damping ratio of an underdamped system in the time domain.
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Logarithmic derivative
In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula where f' is the derivative of f. Intuitively, this is the infinitesimal relative change in f; that is, the infinitesimal absolute change in f, namely f', scaled by the current value of f. When f is a function f(x) of a real variable x, and takes real, strictly positive values, this is equal to the derivative of ln(f), or the natural logarithm of f. This follows directly from the chain rule.
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Logarithmic differentiation
In calculus, logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate functions by employing the logarithmic derivative of a function f, The technique is often performed in cases where it is easier to differentiate the logarithm of a function rather than the function itself.
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Logarithmic distribution
In probability and statistics, the logarithmic distribution (also known as the logarithmic series distribution or the log-series distribution) is a discrete probability distribution derived from the Maclaurin series expansion From this we obtain the identity This leads directly to the probability mass function of a Log(p)-distributed random variable: for k ≥ 1, and where 0 F(k).
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Logarithmic form
In contexts including complex manifolds and algebraic geometry, a logarithmic differential form is a meromorphic differential form with poles of a certain kind.
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Logarithmic growth
In mathematics, logarithmic growth describes a phenomenon whose size or cost can be described as a logarithm function of some input.
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Logarithmic integral function
In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function.
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Logarithmic number system
A logarithmic number system (LNS) is an arithmetic system used for representing real numbers in computer and digital hardware, especially for digital signal processing.
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Logarithmic scale
A logarithmic scale is a nonlinear scale used when there is a large range of quantities.
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Logarithmic spiral
A logarithmic spiral, equiangular spiral or growth spiral is a self-similar spiral curve which often appears in nature.
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Logarithmic timeline
A logarithmic timeline is a timeline laid out according to a logarithmic scale.
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Log–log plot
In science and engineering, a log–log graph or log–log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes.
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Logit
The logit function is the inverse of the sigmoidal "logistic" function or logistic transform used in mathematics, especially in statistics.
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LogSumExp
The LogSumExp (LSE) function is a smooth approximation to the maximum function, mainly used by machine learning algorithms.
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Mantissa
Mantissa may refer to.
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Mathematical table
Mathematical tables are lists of numbers showing the results of calculation with varying arguments.
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Mel scale
The mel scale, named by Stevens, Volkmann, and Newman in 1937, is a perceptual scale of pitches judged by listeners to be equal in distance from one another.
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Mercator projection
The Mercator projection is a cylindrical map projection presented by the Flemish geographer and cartographer Gerardus Mercator in 1569.
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Mercator series
In mathematics, the Mercator series or Newton–Mercator series is the Taylor series for the natural logarithm: In summation notation, The series converges to the natural logarithm (shifted by 1) whenever -1.
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Moment magnitude scale
The moment magnitude scale (MMS; denoted as Mw or M) is one of many seismic magnitude scales used to measure the size of earthquakes.
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Napierian logarithm
The term Napierian logarithm or Naperian logarithm, named after John Napier, is often used to mean the natural logarithm.
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Natural logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant ''e'', where e is an irrational and transcendental number approximately equal to.
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Natural logarithm of 2
The decimal value of the natural logarithm of 2 is approximately as shown in the first line of the table below.
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Neper
The neper (symbol: Np) is a logarithmic unit for ratios of measurements of physical field and power quantities, such as gain and loss of electronic signals.
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Otis King
Otis Carter Formby King (1876–1944) was a grocer and engineer in London who invented and produced a cylindrical slide rule with helical scales, primarily for business uses initially.
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PH
In chemistry, pH is a logarithmic scale used to specify the acidity or basicity of an aqueous solution.
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Pollard's kangaroo algorithm
In computational number theory and computational algebra, Pollard's kangaroo algorithm (also Pollard's lambda algorithm, see Naming below) is an algorithm for solving the discrete logarithm problem.
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Pollard's rho algorithm for logarithms
Pollard's rho algorithm for logarithms is an algorithm introduced by John Pollard in 1978 to solve the discrete logarithm problem, analogous to Pollard's rho algorithm to solve the integer factorization problem.
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Polylogarithm
In mathematics, the polylogarithm (also known as '''Jonquière's function''', for Alfred Jonquière) is a special function Lis(z) of order s and argument z. Only for special values of s does the polylogarithm reduce to an elementary function such as the natural logarithm or rational functions.
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Polylogarithmic function
A polylogarithmic function in n is a polynomial in the logarithm of n, In computer science, polylogarithmic functions occur as the order of time or memory used by some algorithms (e.g., "it has polylogarithmic order").
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Prime number theorem
In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers.
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Richter magnitude scale
The so-called Richter magnitude scale – more accurately, Richter's magnitude scale, or just Richter magnitude – for measuring the strength ("size") of earthquakes refers to the original "magnitude scale" developed by Charles F. Richter and presented in his landmark 1935 paper, and later revised and renamed the Local magnitude scale, denoted as "ML" or "ML".
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Schnorr signature
In cryptography, a Schnorr signature is a digital signature produced by the Schnorr signature algorithm.
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Semi-log plot
In science and engineering, a semi-log graph or semi-log plot is a way of visualizing data that are related according to an exponential relationship.
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Significand
The significand (also mantissa or coefficient) is part of a number in scientific notation or a floating-point number, consisting of its significant digits.
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Slide rule
The slide rule, also known colloquially in the United States as a slipstick, is a mechanical analog computer.
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Smearing retransformation
The Smearing retransformation is used in regression analysis, after estimating the logarithm of a variable.
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Sound intensity
Sound intensity level also known as acoustic intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.
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Sound power
Sound power or acoustic power is the rate at which sound energy is emitted, reflected, transmitted or received, per unit time.
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Super-logarithm
In mathematics, the super-logarithm (or tetra-logarithm) is one of the two inverse functions of tetration.
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Time complexity
In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.
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Weber–Fechner law
The Weber–Fechner law refers to two related laws in the field of psychophysics, known as Weber's law and Fechner's law.
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Redirects here:
List of logarithm topics, List of logarithmic topics.
References
[1] https://en.wikipedia.org/wiki/Index_of_logarithm_articles
