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logarithmic integral function

См. также в других словарях:

  • Logarithmic integral function — In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function. It occurs in problems of physics and has number theoretic significance, occurring in the prime number theorem as an estimate of the number of… …   Wikipedia

  • Integral logarithm — The term integral logarithm may stand for: * Discrete logarithm in algebra, * Logarithmic integral function in calculus …   Wikipedia

  • Logarithmic differentiation — Logarithmic derivative is a separate article. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation …   Wikipedia

  • Exponential integral — is a mathematical function of a single argument which has no established notation.DefinitionsFor real values of x , the exponential integral Ei( x ) can be defined as : mbox{Ei}(x)=int { infty}^xfrac{e^t}t,dt., The definition above can be used… …   Wikipedia

  • Prime-counting function — In mathematics, the prime counting function is the function counting the number of prime numbers less than or equal to some real number x cite book |first=Eric |last=Bach |coauthors=Shallit, Jeffrey |year=1996 |title=Algorithmic Number Theory… …   Wikipedia

  • Landau's function — g ( n ) is defined for every natural number n to be the largest order of an element of the symmetric group S n . Equivalently, g ( n ) is the largest least common multiple of any partition of n .For instance, 5 = 2 + 3 and lcm(2,3) = 6. No other… …   Wikipedia

  • Logarithmic mean — In mathematics, the logarithmic mean is a function of two numbers which is equal to their difference divided by the logarithm of their quotient. In symbols::egin{matrix}M {mbox{lm(x,y) =lim {(xi,eta) o(x,y)} frac{eta xi}{ln eta ln xi}… …   Wikipedia

  • 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. When f is a function f(x) of a real variable x, and takes real, strictly… …   Wikipedia

  • Logarithmic scale — A logarithmic scale is a scale of measurement that uses the logarithm of a physical quantity instead of the quantity itself. Presentation of data on a logarithmic scale can be helpful when the data covers a large range of values ndash; the… …   Wikipedia

  • Trigonometric integral — Si(x) (blue) and Ci(x) (green) plotted on the same plot. In mathematics, the trigonometric integrals are a family of integrals which involve trigonometric functions. A number of the basic trigonometric integrals are discussed at the list of… …   Wikipedia

  • Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …   Wikipedia

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