| 释义 |
Definition of power series in English: power seriesnoun Mathematics 1An infinite series of the form Σanxn (where n is a positive integer). Example sentencesExamples - Already at this stage he began to undertake research, investigating the problem of finding an estimate for the determinant generated by coefficients of a power series.
- Not surprisingly, he also discovered the infinite power series for the cosine and the tangent.
- The transformation of his conception of an analytic function from a differentiable function to a function expandable into a convergent power series was made during this early period of Weierstrass's mathematical activity.
- This is called a power series for sin because it is a series in terms of powers of x.
- The aim of these notes was to construct the analytical continuation of a power series outside its circle of convergence.
- 1.1 A generalization of a power series for more than one variable.
Example sentencesExamples - These generating functions are infinite power series, and Euler was a master in manipulating them.
- He worked on power series and on potential theory.
- Or we may prescribe a seemingly much more powerful condition, namely, that the function possesses a development into power series about each point of the domain of definition.
- It also contains continued fractions, quadratic equations, sums of power series and a table of sines.
- Some of his most well-known contributions are a theorem connected to the Phragmén-Lindelöf principle, a theorem about the zeros of the V-function and several theorems about power series with integer coefficients.
Definition of power series in US English: power seriesnoun Mathematics 1An infinite series of the form Σanxn (where n is a positive integer). Example sentencesExamples - The aim of these notes was to construct the analytical continuation of a power series outside its circle of convergence.
- Not surprisingly, he also discovered the infinite power series for the cosine and the tangent.
- The transformation of his conception of an analytic function from a differentiable function to a function expandable into a convergent power series was made during this early period of Weierstrass's mathematical activity.
- Already at this stage he began to undertake research, investigating the problem of finding an estimate for the determinant generated by coefficients of a power series.
- This is called a power series for sin because it is a series in terms of powers of x.
- 1.1 A generalization of a power series for more than one variable.
Example sentencesExamples - Or we may prescribe a seemingly much more powerful condition, namely, that the function possesses a development into power series about each point of the domain of definition.
- Some of his most well-known contributions are a theorem connected to the Phragmén-Lindelöf principle, a theorem about the zeros of the V-function and several theorems about power series with integer coefficients.
- It also contains continued fractions, quadratic equations, sums of power series and a table of sines.
- He worked on power series and on potential theory.
- These generating functions are infinite power series, and Euler was a master in manipulating them.
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