Asymptotic Notation
المؤلف:
Hardy, G. H. and Wright, E. M
المصدر:
"Some Notations." §1.6 in An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press
الجزء والصفحة:
...
13-3-2019
1686
Asymptotic Notation
Let 
be an integer variable which tends to infinity and let 
be a continuous variable tending to some limit. Also, let 
or 
be a positive function and 
or 
any function. Then Hardy and Wright (1979) define
1. 
to mean that 
for some constant 
and all values of 
and 
,
2. 
to mean that 
,
3. 
to mean that 
,
4. 
to mean the same as 
,
5. 
to mean 
, and
6. 
to mean 
for some positive constants 
and 
.
implies and is stronger than 
.
The term Landau symbols is sometimes used to refer the big-O and little-o notations 
and 
, and in general,
and 
are read as "is of order 
."
REFERENCES:
Hardy, G. H. and Wright, E. M. "Some Notations." §1.6 in An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press, pp. 7-8, 1979.
Jeffreys, H. and Jeffreys, B. S. "Increasing and Decreasing Functions." §1.065 in Methods of Mathematical Physics, 3rd ed.Cambridge, England: Cambridge University Press, p. 22, 1988.
الاكثر قراءة في المتتاليات-المتسلسلات
اخر الاخبار
اخبار العتبة العباسية المقدسة
