Examples of 'analytic function' in a sentence
Meaning of "analytic function"
analytic function - In mathematics, a function that relates to the analysis of data or functions, often used in calculus and mathematical analysis
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- Any smooth (infinitely differentiable) function f, defined on an open set D⊆ℂ( textit or⊆ℝ), whose value in some neighbourhood of any given point x_0∈D is given by the Taylor series ∑ₙ₌₀ ᪲(f⁽ⁿ⁾(x_0))/(n!)(x-x_0)ⁿ.
How to use "analytic function" in a sentence
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analytic function
The sum of analytic functions is an analytic function.
A smooth approximation to the rectifier is the analytic function.
This function is an analytic function on the complex numbers.
The real and imaginary parts of an analytic function.
An analytic function f such that.
On the mean values of an analytic function.
In both cases f is an analytic function on the corresponding open half plane.
If the series converges to an analytic function in.
The analytic function.
Extremal curves for the modulus of an analytic function.
Univalent analytic function.
Analytic continuation is a technique to extend the domain of a given analytic function.
Is an analytic function.
So far, we have defined what an analytic function is.
The value returned by an analytic function with a logical offset is always deterministic.
See also
Then the gas-wall potential is decomposed into binary potential and approached by an analytic function.
One can easily prove that any analytic function of a real argument is smooth.
An analytic function is a function that is representable by its Taylor series.
If we must expand an analytic function in a Taylor series.
Compactness properties of Volterra-type integral operators on analytic function spaces.
This means that every analytic function is locally represented by its Taylor series.
Though it is usually defined piecewise as above, S is an analytic function of both k and r.
A modular form is an analytic function that satisfies invariant properties under certain Mobius transforms.
The Borel-Carathéodory theorem, which bounds an analytic function in terms of its real part.
In mathematics, an analytic function is a function that is locally given by a convergent power series.
However, one may equally well define an analytic function by its Taylor series.
In databases, an analytic function is a function that computes aggregate values over a group of rows.
The Riemann - Siegel theta function is an odd real analytic function for real values of t.
Any analytic function is smooth, that is, infinitely differentiable.
Consequently, in complex analysis, the term analytic function is synonymous with holomorphic function.
An analytic function f ( z ) with an isolated singularity at.
If φ ( t ) is a polynomial of degree n and f an analytic function then.
A Schur function is an analytic function whose modulus is bounded by 1 in the unit disk.
Finally, putting these together, the analytic function.
If m > p+1, the radius of convergence is zero and so there is no analytic function.
Historian Tom Whiteside described the transition to the analytic function as follows: [8].
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Examples of using Analytic
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Application of the analytic hierarchy process in the
Analytic properties of functions pass to their inverses
Investigative and analytic journalism is almost absent
