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克林正则集定理英文解释翻译、克林正则集定理的近义词、反义词、例句

英语翻译:

【计】 Kleene's theorem on regular set

分词翻译:

克林的英语翻译:

【计】 kleene; kliine

正则集定理的英语翻译:

【计】 theorem of regular set

网络扩展解释

克林正则集定理

克林正则集定理的中文拼音为“Kè lín zhèng zé jí dìng lǐ”,是一种数学定理,主要用于研究复变函数。

英语解释翻译

The English translation and explanation of the Weierstrass-Casorati theorem is as follows:

The Weierstrass-Casorati theorem states that the images of certain analytic functions cannot be arbitrarily close to some complex number, or infinity. Specifically, if f is an analytic function defined on some open set containing a, then either f(z) tends to infinity as z approaches a along some path in the domain of f, or f(z) is "close" to some finite complex number L. In this case, f(z) oscillates near L in the sense that it comes arbitrarily close to L infinitely often in any neighborhood of a.

英文读音

The English pronunciation of the Weierstrass-Casorati theorem is "ver-shtross kah-zoh-rad-ee".

英文用法

In English, the Weierstrass-Casorati theorem is used to describe the behavior of certain analytic functions near singular points or poles. It is often used in complex analysis and other areas of mathematics as a tool for understanding the properties of functions that are holomorphic or meromorphic.

英文例句

Here are some examples of how the Weierstrass-Casorati theorem might be used in an English sentence:

  • The Weierstrass-Casorati theorem can be used to show that certain functions have poles of a certain order.
  • One of the key applications of the Weierstrass-Casorati theorem is to prove the existence of non-holomorphic functions with certain pathological properties.

英文近义词

Some synonyms of the Weierstrass-Casorati theorem in English include the Casorati-Weierstrass theorem, the Weierstrass-Casorati trick, and the Casorati-Weierstrass-Dini theorem.

英文反义词

There is no direct antonym for the Weierstrass-Casorati theorem in English, as it is a specific mathematical concept rather than a general term.

英文单词常用度

The Weierstrass-Casorati theorem is a specialized technical term in mathematics, so it is not frequently used in everyday English language. Its usage is confined mainly to academic and technical contexts.

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