Russian term (edited): ����� �� ������, ���

Повторяю варианты:

Если известно какая именно экспонента, то:
to decrease/decay at least as fast as exp ().
to decrease/decay at least exponentially as exp ()


Если просто сказано "не слабее экспоненты", то:

to decrease/decay at least exponentially (fast /quickly)
to decrease/decay at least as fast as an exponential function


Убывать на бесконечности = to descrease at infinity

Убывать на бесконечности не слабее чем экспонента = to decrease at least exponentially at infinity
А также все возможные перефразировки - см. варианты выше.


Примеры:



--------------------------------------------------
Note added at 1 hr 19 mins (2003-10-17 20:35:47 GMT)
--------------------------------------------------

... We simply quote the first one from Ref. [11]: Poincare lemma. Let ?(x) be a p-form that decreases at least exponentially at infinity. ...
http://arxiv.org/pdf/hep-lat/9906015

IF the parent has an unbounded tail that decreases at least as fast as an exponential function, and has finite moments (as does the normal, for example). http://www.statisticalengineering.com/extreme_value.htm

ss=(0.2*(exp(5.)-exp(-5.))) Interval ... quadrature scheme --
albeit a simple one -- whose fractional error decreases at least as fast as N. ...
http://www.ma.utexas.edu/documentation/nr/bookf/f7-6.ps

... if the probability of finding it outside a ball B r of radius r around the origin, ie in IR 3 \\B r , decreases at least as exp{-Kr} for large r ...
http://arxiv.org/pdf/quant-ph/9809030

. In opposite case coupling energy decreases exponentially as exp - 8 T DL . ...
http://arxiv.org/pdf/cond-mat/0209084

The Boltzmann factor decreases exponentially with increasing energy: exp (-Я E ) ...
ariadne.mse.uiuc.edu/390/lecture09a.pdf

... unstable unless the density of large spheres decreases at least exponentially as their ... ...
http://arxiv.org/pdf/cond-mat/9811150

... ref{T:main} shows that the spectral gap decreases at least exponentially fast in $N ... condition decays exponentially to 0 as the boundary recedes to infinity. ...
http://mpej.unige.ch/mp_arc/papers/00-230

... be reached from which there is a positive probability of escape to infinity. ... c0||x||. Hence g(x) <= exp{-hc0||x||}decreases at least exponentially quickly with ...
http://www.math.leidenuniv.nl/~spieksma/papers/Lyapunov.ps


... for some s ? 0. This means that the tail of G decreases at least exponentially fast ... It relates the behaviour of regularly varying functions at infinity to the ...
http://www.math.ethz.ch/~hjfurrer/mydiss.ps