asymptotic dualization - ορισμός. Τι είναι το asymptotic dualization
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Τι (ποιος) είναι asymptotic dualization - ορισμός

DESCRIPTION OF LIMITING BEHAVIOR OF A FUNCTION
Asymptotic behavior; Asymptotic formula; Asymptotic limit; Asymptotics; Asymptotically equal to; Asymptotic expression; ≃; Asymptotic theory; Asymptotic estimate; Asymptotic equivalence; Asymptotic solution; Asymptotically equal; \sim; ≄; Asymptotic approximation

Asymptotic expansion         
  • 1=''x'' = 3}}, beyond which the error diverges.
SERIES WHICH GIVES AN APPROXIMATION TO A FUNCTION AS THE ARGUMENT TENDS TO SOME POINT
Asymptotic series; Asymptotically convergent; Poincaré expansion; Asymptotic scale; Asymptotic expansions; Poincare expansion; Asymptotic growth
In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often infinite, point. Investigations by revealed that the divergent part of an asymptotic expansion is latently meaningful, i.
Asymptotic computational complexity         
IN THEORY OF COMPUTATION
Asymptotic time complexity; Asymptotic space complexity
In computational complexity theory, asymptotic computational complexity is the usage of asymptotic analysis for the estimation of computational complexity of algorithms and computational problems, commonly associated with the usage of the big O notation.
Asymptotic curve         
CONCEPT IN DIFFERENTIAL GEOMETRY
Asymptotic line; Asymptotic direction
In the differential geometry of surfaces, an asymptotic curve is a curve always tangent to an asymptotic direction of the surface (where they exist). It is sometimes called an asymptotic line, although it need not be a line.

Βικιπαίδεια

Asymptotic analysis

In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior.

As an illustration, suppose that we are interested in the properties of a function f (n) as n becomes very large. If f(n) = n2 + 3n, then as n becomes very large, the term 3n becomes insignificant compared to n2. The function f(n) is said to be "asymptotically equivalent to n2, as n → ∞". This is often written symbolically as f (n) ~ n2, which is read as "f(n) is asymptotic to n2".

An example of an important asymptotic result is the prime number theorem. Let π(x) denote the prime-counting function (which is not directly related to the constant pi), i.e. π(x) is the number of prime numbers that are less than or equal to x. Then the theorem states that

Asymptotic analysis is commonly used in computer science as part of the analysis of algorithms and is often expressed there in terms of big O notation.