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Τι (ποιος) είναι ultra-exponential - ορισμός

HOLOMORPHIC FUNCTION WITH GROWTH BOUNDED BY AN EXPONENTIAL FUNCTION

Exponential Type; User:Mkelly86/Exponential Type

$The graph of the function in gray is <math>e^{-\pi z^{2}}</math>, the Gaussian restricted to the real axis. The Gaussian does not have exponential type, but the functions in red and blue are one sided approximations that have exponential type <math>2\pi</math>.$

exponential function

MATHEMATICAL FUNCTION WITH A CONSTANT BASE AND A VARIABLE EXPONENT, DENOTED EXP_A(X) OR A^X

Complex exponential function; Complex exponential; Natural exponential function; E^x; Exp(x); Exp (programming); Complex exponentials; Real exponential function; E**x; E to the x; Cb^x; Exponential Function; Exponential equation; Exponential equations; ⅇ; Natural exponent; Exponential minus 1 function; Exponential minus 1; Expm1; Exp-1; Exp1m; Expm1(x); Exp1m(x); Natural exponential minus 1; Natural exponential; E^X-1; E^x-1; Exp(x)-1; Base e antilogarithm; Exponent of e; Base e anti-logarithm; Exponential minus one function; Exponential minus one; Natural exponential minus one; Natural exponential minus one function; Exponential near 0; Exponential near zero; Natural exponential near 0; Natural exponential near zero; Eˣ-1; Eˣ - 1; Eˣ; Eˣ−1; Eˣ − 1; E^x−1; Exp(x)−1; Exponential base

¦ noun Mathematics a function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

ultra

DESIGNATION ADOPTED BY BRITISH FOR MILITARY INTELLIGENCE FROM BROKEN ENEMY CODES

Ultra secret; ULTRA; Ultra (WWII intelligence); Ultra (World War II intelligence); Ultra (cryptography); Ultra program; Ultra (codename); Boniface (cover name)

I. a.

1.

Beyond.

2.

Extreme, radical.

II. n.

Ultraist, extremist, radical.

ultra

DESIGNATION ADOPTED BY BRITISH FOR MILITARY INTELLIGENCE FROM BROKEN ENEMY CODES

Ultra secret; ULTRA; Ultra (WWII intelligence); Ultra (World War II intelligence); Ultra (cryptography); Ultra program; Ultra (codename); Boniface (cover name)

¦ noun informal an extremist.

Origin

C19: an independent usage of ultra-, orig. as an abbrev. of Fr. ultra-royaliste.

Βικιπαίδεια

Exponential type

In complex analysis, a branch of mathematics, a holomorphic function is said to be of exponential type C if its growth is bounded by the exponential function e^C|z| for some real-valued constant C as |z| → ∞. When a function is bounded in this way, it is then possible to express it as certain kinds of convergent summations over a series of other complex functions, as well as understanding when it is possible to apply techniques such as Borel summation, or, for example, to apply the Mellin transform, or to perform approximations using the Euler–Maclaurin formula. The general case is handled by Nachbin's theorem, which defines the analogous notion of Ψ-type for a general function Ψ(z) as opposed to e^z.

https://en.wikipedia.org/wiki/Exponential type