G-log - translation to ρωσικά
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G-log - translation to ρωσικά

THE INVERSE FUNCTION TO A TOWER OF POWERS
Log*; Log star; Log-*; Log-star; Log *; Log* n; Iterated log

G-log      

фирменное название

диаграмма псевдоакустического каротажа

log-log graph         
PLOT THAT USES LOGARITHMIC SCALES ON BOTH THE HORIZONTAL AND VERTICAL AXES
Loglog plot; Log plot; Loglog; Loglog graph; Log log; Log-log; Log log plot; Log-log graph; Log-log plot; Double logarithmic plot; Double log plot; Full log plot; Full logarithmic plot; Dual log plot; Dual logarithmic plot; Double logarithmic; Dual logarithmic; Dual log; Double log; Full log; Full logarithmic; Log–log space; Log-log space; Log–log

математика

график с логарифмическим масштабом на обеих осях

log-log plot         
PLOT THAT USES LOGARITHMIC SCALES ON BOTH THE HORIZONTAL AND VERTICAL AXES
Loglog plot; Log plot; Loglog; Loglog graph; Log log; Log-log; Log log plot; Log-log graph; Log-log plot; Double logarithmic plot; Double log plot; Full log plot; Full logarithmic plot; Dual log plot; Dual logarithmic plot; Double logarithmic; Dual logarithmic; Dual log; Double log; Full log; Full logarithmic; Log–log space; Log-log space; Log–log

математика

график в логарифмическом масштабе по обеим осям

Ορισμός

АКСЕЛЕРОМЕТР
(от лат. accelero - ускоряю и ...метр), прибор для измерения ускорений (перегрузок) летательных аппаратов и др.

Βικιπαίδεια

Iterated logarithm

In computer science, the iterated logarithm of n {\displaystyle n} , written log*  n {\displaystyle 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 {\displaystyle 1} . The simplest formal definition is the result of this recurrence relation:

log n := { 0 if  n 1 ; 1 + log ( log n ) if  n > 1 {\displaystyle \log ^{*}n:={\begin{cases}0&{\mbox{if }}n\leq 1;\\1+\log ^{*}(\log n)&{\mbox{if }}n>1\end{cases}}}

On the positive real numbers, the continuous super-logarithm (inverse tetration) is essentially equivalent:

log n = s l o g e ( n ) {\displaystyle \log ^{*}n=\lceil \mathrm {slog} _{e}(n)\rceil }

i.e. the base b iterated logarithm is log n = y {\displaystyle \log ^{*}n=y} if n lies within the interval y 1 b < n   y b {\displaystyle ^{y-1}b<n\leq \ ^{y}b} , where y b = b b b y {\displaystyle {^{y}b}=\underbrace {b^{b^{\cdot ^{\cdot ^{b}}}}} _{y}} denotes tetration. However, on the negative real numbers, log-star is 0 {\displaystyle 0} , whereas slog e ( x ) = 1 {\displaystyle \lceil {\text{slog}}_{e}(-x)\rceil =-1} for positive x {\displaystyle x} , so the two functions differ for negative arguments.

The iterated logarithm accepts any positive real number and yields an integer. Graphically, it can be understood as the number of "zig-zags" needed in Figure 1 to reach the interval [ 0 , 1 ] {\displaystyle [0,1]} on the x-axis.

In computer science, lg* is often used to indicate the binary iterated logarithm, which iterates the binary logarithm (with base 2 {\displaystyle 2} ) instead of the natural logarithm (with base e).

Mathematically, the iterated logarithm is well-defined for any base greater than e 1 / e 1.444667 {\displaystyle e^{1/e}\approx 1.444667} , not only for base 2 {\displaystyle 2} and base e.

Μετάφραση του &#39G-log&#39 σε Ρωσικά