An analytic function is locally represented by a power series.
The class introduced analytic geometry.
Similar words
methodical
investigative
systematic
closed-form
logical
power-series
algebraic
analytical
mathematical
holomorphic
Meanings
Based on careful analysis
adjective
everyday
formal
Using analysis, logic, or systematic examination to understand something.
Examples
The report takes an analytic approach to the data.
She has a calm, analytic mind.
The course develops analytic reading skills.
An analytic method can reveal hidden patterns.
The article is more analytic than emotional.
He gave an analytic explanation of the problem.
Similar words
analytical
logical
reasoned
systematic
critical
methodical
investigative
Defined by mathematical analysis
adjective
technical
technical
In mathematics and related fields, described by methods of analysis, coordinates, algebraic expressions, or, for functions, local power series behavior.
Examples
A polynomial is an analytic function.
The proof assumes the function is analytic near zero.
Complex analytic functions have strong local behavior.
The solution can be written as an analytic expression.
The class introduced analytic geometry.
An analytic function is locally represented by a power series.
Similar words
mathematical
algebraic
coordinate-based
power-series
holomorphic
closed-form
Etymology
From analysis, ultimately from Greek analusis, meaning a loosening or breaking up. Analytic keeps the idea of breaking something into parts to understand it, while technical fields developed specialized uses such as analytic function and analytic geometry.
FAQ
What does analytic mean?
It means based on analysis, logic, or careful examination. In mathematics it can have more technical meanings.
Is analytic the same as analytical?
They often overlap, but analytical is more common in everyday English, while analytic is common in formal and technical terms.
What is an analytic approach?
It is an approach that examines parts, evidence, logic, or data carefully to understand something.
What is an analytic function?
In mathematics, an analytic function is locally represented by a convergent power series.
Is analytics an adjective?
Usually no. Analytics is normally a noun for data analysis methods or a field.
What is the opposite of analytic?
Depending on context, opposites include emotional, intuitive, unsystematic, synthetic, numeric, or nonanalytic.
How do you use analytic in a sentence?
For example: The report takes an analytic approach to the data.
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