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How to pronounce “radius of convergence”
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Pronunciation guide for radius of convergence
- Learning goal
- Practice the English pronunciation of radius of convergence with real speech in context.
- Available examples
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- Definition summary
- for a power series
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A Deep Dive Into “radius of convergence”
Meaning
- [Noun]
- for a power series
- ∑
- n
- =
- 0
- ∞
- c
- n
- (
- z
- −
- a
- )
- n
- {\displaystyle \sum _{n=0}^{\infty }c_{n}(z-a)^{n}}
- , the unique number
- R
- =
- [
- 0
- ,
- ∞
- ]
- {\displaystyle R=[0,\infty ]}
- such that the sum is convergent for
- |
- z
- −
- a
- |
- <
- R
- {\displaystyle |z-a|<R}
- , and divergent for
- |
- z
- −
- a
- |
- >
- R
- {\displaystyle |z-a|>R}
Practice Nearby Words
convergent series, abel sum, convergent sequence, power series, riemann zeta function, uniform convergence, dirichlet series, riemann zeta-function, domain of convergence, pole, alternating series, abel's theorem, convergent, zeta function, ramanujan conjecture, convergence, harmonic series, superconvergence, monotone convergence theorem, real numbers, limit comparison test, grandi's series, mandelbrot set, riemann hypothesis, ramanujan's sum, maclaurin series, apéry's constant, divergent series, dirichlet eta function, real number, sendov's conjecture, alternating series test, semiconvergent, divergence, ramanujan summation, tauberian theorem, lacunary series, taylor series, abel's summation formula, laurent series, nevanlinna theory, resummation, borel summation, levi-civita field, appell-lerch sum, riemann sphere, mittag-leffler summation, summation method, riemann-roch theorem, binomial series, cactoid, ultrapolynomial, riemann-lebesgue lemma, runge's theorem, formal power series, hypergeometric series, residue, de bruijn-newman constant, ringularity, circumradius, series, kummer ring, continuous function, ritz series, complex conjugate root theorem, jackson integral, bernoulli number, converger, supercongruence, polyzeta, geometric series, taylor's series, continuum, complex function, discontinuum, siegel zero, posynomial, lacunary function, basel problem, coresidual, cauchy sequence, central limit theorem, cumulant, riemann sum, cusp form, beal conjecture, abel-plana formula, stieltjes constant, hahn series, infinite series, conjugate, dirichlet character, li's criterion, complex measure, k-function, catacaustic, hadjicostas's formula, partial sum, circle group, cuspform
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