TubeTalkTubeTalk Pronunciation
How to pronounce “analytic function”
Hear “analytic function” in real YouTube speech, then study definitions and example sentence snippets.
Pronunciation guide for analytic function
- Learning goal
- Practice the English pronunciation of analytic function with real speech in context.
- Available examples
- 8 YouTube examples
- Real speech example
- Something Deeply Hidden
- Definition summary
- (mathematical analysis) Any smooth (infinitely differentiable) function
Example 1 of 8
How to pronounce analytic function
Something Deeply Hidden
Click play to start learning
Example Sentences
A Deep Dive Into “analytic function”
Meaning
- [Noun]
- (mathematical analysis) Any smooth (infinitely differentiable) function
- f
- {\displaystyle f}
- , defined on an open set
- D
- ⊆
- C
- (
- or
- ⊆
- R
- )
- {\displaystyle D\subseteq \mathbb {C} \ ({\textit {or}}\subseteq \mathbb {R} )}
- , whose value in some neighbourhood of any given point
- x
- 0
- ∈
- D
- {\displaystyle x_{0}\in D}
- is given by the Taylor series
- ∑
- n
- =
- 0
- ∞
- f
- (
- n
- )
- (
- x
- 0
- )
- n
- !
- (
- x
- −
- x
- 0
- )
- n
- {\displaystyle \textstyle \sum _{n=0}^{\infty }{\frac {f^{(n)}(x_{0})}{n!}}(x-x_{0})^{n}}
- .
- (databases) window function
Practice Nearby Words
taylor series, taylor's series, mathematical analysis, simple function, analytic continuation, functional analysis, arithmetic function, transcendental function, continuous function, maclaurin series, differential, abel sum, power series, forcing function, analytification, analyst, functional, lacunary function, convergent series, implicit function, complex analysis, algebraic analysis, taylor polynomial, integral equation, monotone function, smoothness, divergence, development, formal power series, recursive function, infinitesimal analysis, numerical analysis, positive linear functional, taylor's polynomial, integral function, infinite series, smooth function, derived function, analysis, computable analysis, explicit function, even function, harmonic analysis, analytic number theory, characteristic function, regular function, alternating series, cauchy problem, rational function, abstract analytic number theory, nonstandard analysis, generating function, calculus, entire function, extensionality, composite function, harmonic series, indefinite integral, fractional calculus, abstract harmonic analysis, convergent sequence, linear function, level set, differential equation, total function, k-function, cauchy-riemann equation, posynomial, antiderivative, measurable function, jackson integral, affine arithmetic, differential operator, diffeology, integrable function, special function, odd function, zeta function, finite difference, homogeneous function, harmonic function, binomial series, uniform convergence, fourier analysis, annihilator method, critical function, gamma function, sequential continuity, independent function, differentiation, polynomial function, complementary function, number-theoretic function, geometric series, natural function, functional root, operator theory, asymptotic analysis, logarithmic derivative, geometric analysis
Similar Sounds
analytic thinking, quadratic function, solidification, stultification, satisfaction, solid solution, solomon, somniloquence, somnambulation, somnolence