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analytic function 名词

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analytic function 数学

analytische Funktion

单语范例（未经PONS编辑处理）

英语

From that time onwards it would be assumed that analytic function theory, which had already unified the trigonometric and exponential functions, was a fundamental tool. en.wikipedia.org

Conversely, given any harmonic function in two dimensions, it is the real part of an analytic function, at least locally. en.wikipedia.org

However, the square of the distance (denoted or), which has a paraboloid as its graph, is a smooth and analytic function. en.wikipedia.org

The initial impetus was to have a description of the properties of the domain of definition of the (maximal) analytic continuation of an analytic function. en.wikipedia.org

One can easily prove that any analytic function of a real argument is smooth. en.wikipedia.org

In both cases "f" is an analytic function on the corresponding open half plane. en.wikipedia.org

They follow directly from the fact that the order of differentiation of an analytic function of two variables is irrelevant. en.wikipedia.org

This leads to bounds on the number of zeros of an analytic function in a complex region. en.wikipedia.org

The concept of a universal cover was first developed to define a natural domain for the analytic continuation of an analytic function. en.wikipedia.org

Then the period of those forms is an analytic function which splits into a product of local factors. en.wikipedia.org

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