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

  1. The Taylor series of a function is a power series that represents the function as an infinite sum of terms.
  2. Power series expansions are used extensively in calculus and analysis.
  3. The radius of convergence of a power series determines the region in which the series converges.
  4. The Cauchy-Hadamard theorem provides a formula for finding the radius of convergence of a power series.
  5. Power series can be used to solve differential equations and integral equations.
  6. The geometric series is a simple example of a power series.
  7. Power series are a fundamental tool in many areas of mathematics and physics.
  8. The exponential function and the trigonometric functions can be represented as power series.
  9. Power series can be differentiated and integrated term by term.
  10. 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.