Examples of 'analytic continuation' in a sentence

Meaning of "analytic continuation"

analytic continuation - In mathematics, this phrase refers to a technique used to extend the domain of a given function
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  • The practice of extending analytic functions.
  • An extension of an analytic function which is itself analytic.

How to use "analytic continuation" in a sentence

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analytic continuation
Note that analytic continuation is always unique.
Euler summation is basically an kind of analytic continuation.
Analytic continuation can be employed for larger values of z.
Schmidt wrote a thesis on analytic continuation of such functions.
Euler summation is essentially an explicit form of analytic continuation.
Analytic continuation along a curve.
This extension by transitivity is one definition of analytic continuation.
Analytic continuation is a technique to extend the domain of a given analytic function.
Continuous and admits an analytic continuation.
See analytic continuation.
Several summation methods involve taking the value of an analytic continuation of a function.
Analytic continuation leads to the finite renormalization of a quantum field theory.
The finite chemical potential results are optained using analytic continuation.
By analytic continuation.
The definition may be extended to all of the complex plane through analytic continuation.

See also

The general theory of analytic continuation and its generalizations are known as sheaf theory.
The model obtains the Dirac equation without requiring a formal analytic continuation.
The general theory of analytic continuation and its generalizations is known as sheaf theory.
A number of issues were clarified, in particular that of analytic continuation.
Analytic continuation around k full circuits brings the function back to the original.
Then the extension formula given above is an analytic continuation to the whole complex plane.
Then analytic continuation anti-clockwise round the circle.
The Ihara zeta function is defined as the analytic continuation of the infinite product.
On the analytic continuation of a function, defined by a Dirichlet series.
The term multivalued function originated in complex analysis, from analytic continuation.
Section AC - analytic continuation of isotherm, physically impossible.
And that 's a valid definition because there is only one possible analytic continuation.
Which converges in the larger region Re(z) < 1, giving an analytic continuation of the original series.
Lots of information on the Lambert W function, Riemann surfaces, and analytic continuation.
The Dirichlet L-function is given by the analytic continuation of.

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Examples of using Continuation
Continuation of the limited budgetary discretion provision
Responsibility for the continuation of the work
Continuation of the installation of electronic access control
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Examples of using Analytic
Application of the analytic hierarchy process in the
Analytic properties of functions pass to their inverses
Investigative and analytic journalism is almost absent
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