List of mathematical symbols from wiki

本文全面介绍了数学中广泛使用的符号,从基本符号到高级符号,涵盖了所有数学分支。包括基于等式的符号、指向左右的符号、括号、非字母符号、基于拉丁和希腊字母的符号等,是查找不熟悉符号的实用指南。

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https://en.wikipedia.org/wiki/List_of_mathematical_symbols

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List of mathematical symbols

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This list is incomplete; you can help by expanding it.

This is a list of symbols used in all branches of mathematics to express a formula or to represent a constant.

A mathematical concept is independent of the symbol chosen to represent it. For many of the symbols below, the symbol is usually synonymous with the corresponding concept (ultimately an arbitrary choice made as a result of the cumulative history of mathematics), but in some situations, a different convention may be used. For example, depending on context, the triple bar "≡" may represent congruence or a definition. However, in mathematical logic, numerical equality is sometimes represented by "≡" instead of "=", with the latter representing equality of well-formed formulas. In short, convention dictates the meaning.

Each symbol is shown both in HTML, whose display depends on the browser's access to an appropriate font installed on the particular device, and typeset as an image using TeX.

 

Contents

Guide[edit]

This list is organized by symbol type and is intended to facilitate finding an unfamiliar symbol by its visual appearance. For a related list organized by mathematical topic, see List of mathematical symbols by subject. That list also includes LaTeX and HTML markup, and Unicode code points for each symbol (note that this article doesn't have the latter two, but they could certainly be added).

There is a Wikibooks guide for using maths in LaTeX,[1] and a comprehensive LaTeX symbol list.[2] It is also possible to check to see if a Unicode code point is available as a LaTeX command, or vice versa.[3] Also note that where there is no LaTeX command natively available for a particular symbol (although there may be options that require adding packages), the symbol could be added via other options, such as setting the document up to support Unicode,[4] and entering the character in a variety of ways (e.g. copying and pasting, keyboard shortcuts, the \unicode{<insertcodepoint>} command[5]) as well as other options[6] and extensive additional information.[7][8]

  • Basic symbols: Symbols widely used in mathematics, roughly through first-year calculus. More advanced meanings are included with some symbols listed here.
  • Symbols based on equality "=": Symbols derived from or similar to the equal sign, including double-headed arrows. Not surprisingly these symbols are often associated with an equivalence relation.
  • Symbols that point left or right: Symbols, such as < and >, that appear to point to one side or another.
  • Brackets: Symbols that are placed on either side of a variable or expression, such as |x|.
  • Other non-letter symbols: Symbols that do not fall in any of the other categories.
  • Letter-based symbols: Many mathematical symbols are based on, or closely resemble, a letter in some alphabet. This section includes such symbols, including symbols that resemble upside-down letters. Many letters have conventional meanings in various branches of mathematics and physics. These are not listed here. The See also section, below, has several lists of such usages.
    • Letter modifiers: Symbols that can be placed on or next to any letter to modify the letter's meaning.
    • Symbols based on Latin letters, including those symbols that resemble or contain an X
    • Symbols based on Hebrew or Greek letters e.g. ב ,א, δ, Δ, π, Π, σ, Σ, Φ. Note: symbols resembling Λ are grouped with "V" under Latin letters.
  • Variations: Usage in languages written right-to-left
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<think>好的,用户遇到了关于在数学表达式中正确使用LaTeX格式的问题。根据用户提供的系统级指令,我需要分析用户的需求,并给出相应的解决方案。 首先,用户的问题主要涉及行内数学表达式和独立公式的格式要求。用户可能是在撰写学术文档或技术文章时遇到了LaTeX格式错误,导致数学表达式显示不正确。需要明确区分行内和独立公式的语法,并确保LaTeX语法正确。 接下来,我要检查用户的示例是否正确。例如,用户提到的行内表达式如$x^2$和$(a+b)^2$,这里需要注意,虽然示例中使用了括号,但LaTeX的行内公式通常不需要额外括号,直接用$符号包裹即可。此外,用户提到的积分示例中有一个多余的左括号,这可能导致语法错误,需要纠正。 对于独立公式,用户需要使用$$...$$格式,并确保单独成段。例如,正确的独立公式应该像: $$ \int_{-\pi}^{\pi} \cos(nx)\sin(mx)dx = 0 $$ 而用户提供的例子中可能遗漏了换行或使用了不正确的括号,需要指出这些错误并提供修正建议。 然后,我需要考虑用户可能犯的其他常见错误,比如忘记转义特殊字符,或者错误使用LaTeX命令。例如,在中文文档中混合使用中英文字符可能导致编译错误,需要提醒用户注意编码和符号的一致性。 此外,用户可能需要了解如何检查LaTeX语法错误。建议他们使用在线的LaTeX编辑器如Overleaf,实时预览并调试公式,或者查阅LaTeX数学符号手册以正确使用命令。 最后,要确保回答结构清晰,分点列出问题原因和解决方案,帮助用户逐步排查和解决问题。同时,保持语言简洁,避免使用专业术语过多,让不同水平的用户都能理解。</think>你遇到的数学表达式格式问题可通过以下步骤解决: **问题原因分析** 1. 行内公式未正确使用$符号包裹 2. 独立公式未使用$$包裹或未单独成段 3. 存在LaTeX语法错误(如多余的括号) 4. 可能混淆了中文括号与数学符号 **解决方案** 一、行内公式规范 ✅ 正确写法:`这是行内公式$x^2 + y^2 = r^2$的例子` ❌ 错误写法:这是行内公式x^2或(x^2)或$ x^2 $(前后有空格) 二、独立公式规范 ✅ 正确写法: ``` 傅里叶积分表示为: $$ \int_{-\pi}^{\pi} \cos(nx)\sin(mx)dx = 0 $$ 这是正交关系... ``` ❌ 错误写法:使用单个$符号或未换行 三、常见错误修正 1. 多余括号修正: ```diff - $( \int_{-\pi}^{\pi} \cos(nx)\sin(mx)dx = 0 $ + $\int_{-\pi}^{\pi} \cos(nx)\sin(mx)dx = 0$ ``` 2. 特殊符号转义: ```diff - $a % b$ (%需要转义) + $a \% b$ ``` 四、验证工具推荐 1. 使用Overleaf在线编辑器实时预览 2. 安装LaTeX语法检查插件(如VSCode的LaTeX Workshop) 3. 参考官方符号表:https://oeis.org/wiki/List_of_LaTeX_mathematical_symbols **操作示范** 正确格式组合案例: ``` 当处理二次方程时,使用$ax^2 + bx + c = 0$的通用形式。其判别式为: $$ \Delta = b^2 - 4ac $$ 当$\Delta > 0$时方程有两个实根... ``` 通过规范符号使用和分段格式,可确保数学内容正确渲染。建议保存常用公式模板以便复用。
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