power series (Meaning)
Wordnet
power series (n)
the sum of terms containing successively higher integral powers of a variable
Synonyms & Antonyms of power series
No Synonyms and anytonyms found
power series Sentence Examples
- The Taylor series of a function is a power series that represents the function as an infinite sum of terms.
- Power series expansions are used extensively in calculus and analysis.
- The radius of convergence of a power series determines the region in which the series converges.
- The Cauchy-Hadamard theorem provides a formula for finding the radius of convergence of a power series.
- Power series can be used to solve differential equations and integral equations.
- The geometric series is a simple example of a power series.
- Power series are a fundamental tool in many areas of mathematics and physics.
- The exponential function and the trigonometric functions can be represented as power series.
- Power series can be differentiated and integrated term by term.
- The Laplace transform and the Fourier transform are related to power series expansions.
FAQs About the word power series
the sum of terms containing successively higher integral powers of a variable
No synonyms found.
No antonyms found.
The Taylor series of a function is a power series that represents the function as an infinite sum of terms.
Power series expansions are used extensively in calculus and analysis.
The radius of convergence of a power series determines the region in which the series converges.
The Cauchy-Hadamard theorem provides a formula for finding the radius of convergence of a power series.
