logarithm$45313$ - Definition. Was ist logarithm$45313$
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Was (wer) ist logarithm$45313$ - definition

FUNCTION USED TO IMPLEMENT FINITE-FIELD ARITHMETIC WHEN ELEMENTS ARE REPRESENTED AS POWERS OF A PRIMITIVE ELEMENT
Zech logarithms; Zech logarithm; Zech's logarithms; Jacobi logarithm; Jacobi logarithms; Jacobi's logarithm; Jacobian logarithm

Napierian logarithm         
  • A plot of the Napierian logarithm for inputs between 0 and 10<sup>8</sup>.
  • The 19 degree pages from Napier's 1614 table of logarithms of trigonometric functions ''[[Mirifici Logarithmorum Canonis Descriptio]]''
MATHEMATICAL FUNCTION
Napier's logarithm; Naperian logarithm; Naperian system of logarithms
[ne?'p??r??n]
¦ noun another term for natural logarithm.
Origin
C19: named after the Scottish mathematician John Napier (1550-1617).
Zech's logarithm         
Zech logarithms are used to implement addition in finite fields when elements are represented as powers of a generator \alpha.
antilogarithm         
  • alt=A bar chart and a superimposed second chart. The two differ slightly, but both decrease in a similar fashion.
  • alt=An oval shape with the trajectories of two particles.
  • alt=A density plot. In the middle there is a black point, at the negative axis the hue jumps sharply and evolves smoothly otherwise.
  • alt=An illustration of the polar form: a point is described by an arrow or equivalently by its length and angle to the x-axis.
  • alt=A graph of the value of one mark over time. The line showing its value is increasing very quickly, even with logarithmic scale.
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  • alt=A graph of the logarithm function and a line touching it in one point.
  • alt=The graphs of two functions.
  • TI-83 Plus]] graphing calculator
  • alt=A hyperbola with part of the area underneath shaded in grey.
  • alt=The hyperbola depicted twice. The area underneath is split into different parts.
  • alt=A photograph of a nautilus' shell.
  • μ}}, which is zero for all three of the PDFs shown, is the mean of the logarithm of the random variable, not the mean of the variable itself.
  • alt=Parts of a triangle are removed in an iterated way.
  • alt=An animation showing increasingly good approximations of the logarithm graph.
INVERSE OF THE EXPONENTIAL FUNCTION, WHICH MAPS PRODUCTS TO SUMS
Logarithmic algorithm; Antilogarithm; Logathrims; Logarithms; Logarithmic function; Antilog; Logarithim; Colog; Cologarithm; Log (mathematics); Logarithm function; Napier logarithm; Logarithm Table in Trigonometry; Logarithm of a number; Log(x); Logarhythm; Anti-logarithm; Anti-Logarithm; Logarithmic functions; Log function; Logaritm; Change of base rule; Logarithmand; Logarithmically; Logarithm base; Base of a logarithm; Log-transform; Logrithm; Log (function); Double logarithm; Logarithmus; Generic logarithm; Decadic antilogarithm; Natural antilogarithm; Binary antilogarithm; Decimal antilogarithm; Common antilogarithm; General antilogarithm; 3-logarithm; Draft:Direct Differentiation and Integration of Logarithms
¦ noun the number of which a given number is the logarithm.

Wikipedia

Zech's logarithm

Zech logarithms are used to implement addition in finite fields when elements are represented as powers of a generator α {\displaystyle \alpha } .

Zech logarithms are named after Julius Zech, and are also called Jacobi logarithms, after Carl G. J. Jacobi who used them for number theoretic investigations.