Corpus Viewer

Work: 鄰域 Viewing: Source

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Manual annotation is the default. Approved files are written as sibling pages under kanbun/, hanmun/, or hanvan/ with the same filename as this source page.

Annotation system

Summary

Reasoning

Digital keyboard

Kanbun-LM is not shown here because automatic generation is Japanese-only. This patch keeps the manual path as the default workflow.

Source page

註蓋當今數學之事，誠難僅以文述，而無符號，故凡數學之文，咸有漢字、拉丁字相易之事，以合文言、數學，則無論文理之人，皆可明之也。

鄰域者，相鄰之域也。

定義

點甲之鄰域者，有開
子集含甲也。或曰：甲在其鄰域之內
。

觀乎度量空間，集乙為點甲之鄰域者，則有正數，相去甲小于此正數者，咸乙之屬。故有鄰域之名。或曰：甲稍移，仍在乙中。

集甲之鄰域者，甲含于其內
也。

性

甲鄰域之並，甲之鄰域也。

甲若干鄰域之交，甲之鄰域也。

拓撲術語

拓撲

子空間

積空間

商空間

拓撲分類

點

內

外

極限點

孤點

周界

曲線

道路

開集

閉集

閉包

閉開集

分離

稠密

度量

距

有界

鄰域

覆蓋

緊集

連通

道路連通

單連通

局部

基

準基

連續

開函數

閉函數

同胚

同倫

拓撲不變量

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Translation text

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Related corpus path

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Ticket summary

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Provenance *

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User-made Public domain Historical source or manuscript Author-provided: the work's author supplied this translation

References

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Edited text

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Title

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Work title

Author(s)

Date / year label

Corpus root / nation

Period

Polity

Region

Categories

Sources / references

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Metadata

Work ID: 94497
Document ID: 261792
Title: 鄰域
Corpus root: 維基大典
Page title: 鄰域
File: 鄰域.txt
Path: 維基大典/clean/鄰域/鄰域.txt

Punctuation options

Preset Source Modern CJK (Traditional) Modern CJK (Simplified / PRC) Pure classical Strip Custom

Quotes

Family

Chinese quotation marks 「」『』 Latin speech marks “ ” ‘ ’ Chinese speech marks ＂＇ Off

Ordering

Traditional: 「甲『乙』丙」 Simplified: 『甲「乙」丙』 Vertical quote forms (﹁﹂﹃﹄)

Question / Exclamation Keep ？ Collapse ? → 。

Keep ！ Collapse ! → 。

Semicolon / Colon Keep ； Collapse ; → 。

Keep ： Collapse : → 。

Comma Use ， Use 、

Repetition mark No repetition mark (default) 々 (Horizontal) 〻 (Vertical) 二 (Western Zhou-style)

註蓋當今數學之事，誠難僅以文述，而無符號，故凡數學之文，咸有漢字、拉丁字相易之事，以合文言、數學，則無論文理之人，皆可明之也。鄰域者，相鄰之域也。定義點甲之鄰域者，有開子集含甲也。或曰：甲在其鄰域之內。觀乎度量空間，集乙為點甲之鄰域者，則有正數，相去甲小于此正數者，咸乙之屬。故有鄰域之名。或曰：甲稍移，仍在乙中。集甲之鄰域者，甲含于其內也。性甲鄰域之並，甲之鄰域也。甲若干鄰域之交，甲之鄰域也。拓撲術語拓撲子空間積空間商空間拓撲分類點內外極限點孤點周界曲線道路開集閉集閉包閉開集分離稠密度量距有界鄰域覆蓋緊集連通道路連通單連通局部基準基連續開函數閉函數同胚同倫拓撲不變量