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NumericalSort[list]

把 list 的元素按数字顺序排序.

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Details and Options Details and Options
范例  
基本范例  
范围  
属性和关系  
可能存在的问题  
参见
相关指南
历史
按以下格式引用：

NumericalSort

NumericalSort[list]

把 list 的元素按数字顺序排序.

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范例

打开所有单元 关闭所有单元

基本范例  (2)

按数字顺序排序：

Wolfram Language code: NumericalSort[{1, Pi, E, Infinity, -Sqrt[2], -Infinity}]

这可能与经典表达式的顺序不同：

Wolfram Language code: Sort[{1, Pi, E, Infinity, -Sqrt[2], -Infinity}]

结果中，可以相比较的元素常被放在一起：

Wolfram Language code: NumericalSort[{Now, TimeObject[], Infinity, Sqrt[2], -1, 0, -Infinity, Quantity[1, "Meters"], Quantity[3, "Feet"], TimeObject[{1, 23, 45}], DateObject[{1618, 3, 3, 9, 8, 8}]}]

范围  (7)

-∞ 比任意实值表达式都小，∞ 比任意实值表达式都大：

Wolfram Language code: NumericalSort[{2, Infinity, 0., -GoldenRatio, -Infinity, 1 / 3}]

对任意表达式的参数进行排序：

Wolfram Language code: NumericalSort[data[0, 1, Infinity, -Infinity]]

按数值对关联进行排序：

Wolfram Language code: NumericalSort[<|a -> 0, b -> 1, c -> Infinity, d -> -Infinity|>]

按数值对标头相同的表达式进行排序：

Wolfram Language code: NumericalSort[{h[0, 2], h[Infinity, 1], h[-Infinity, 3]}]

先对短的表达式进行排序：

Wolfram Language code: NumericalSort[{h[0, 2, foo], h[Infinity, 1], h[-Infinity, 3]}]

对于复值表达式，先按其实部进行排序，然后按虚部的绝对值进行排序：

Wolfram Language code: data = RandomSample@Flatten@Outer[Complex, Range[-1, 1], Range[-2, 2]]
Wolfram Language code: n = Length[data]
Wolfram Language code: ComplexListPlot[Thread[Callout[data, Range[n]]], ...]
Wolfram Language code: sdata = NumericalSort[data]
Wolfram Language code: ComplexListPlot[Thread[Callout[sdata, Range[n]]], ...]

对单位兼容的量进行排序：

Wolfram Language code: NumericalSort[{Quantity[50, "Centimeters"], Quantity[0, "Meters"], Quantity[1, "Yards"], Quantity[2, "Feet"]}]

如果发现有不兼容的单位，把兼容的单位放在一起：

Wolfram Language code: NumericalSort[{Quantity[1, "Yards"], Quantity[1, "Minutes"], Quantity[50, "Centimeters"], Quantity[30, "Seconds"]}]

对日期对象进行排序：

Wolfram Language code: NumericalSort[{Tomorrow, Today, Yesterday}]

属性和关系  (2)

NumericalSort 用 NumericalOrder 作为排序函数：

Wolfram Language code: NumericalSort[{b, a, Infinity, 0}]
Wolfram Language code: Sort[{b, a, Infinity, 0}, NumericalOrder]

当用 Less 作为排序函数时也可以对数值表达式进行排序，但对于其他表达式则不一定：

Wolfram Language code: Sort[{b, a, Infinity, 0}, Less]

TakeSmallest 的结果是按 NumericalSort 排序的：

Wolfram Language code: list = Sqrt /@ RandomInteger[100, 8]
Wolfram Language code: TakeSmallest[list, 8]
Wolfram Language code: % === NumericalSort[list]

结果与 Sort 的结果可能不同：

Wolfram Language code: Sort[list]

可能存在的问题  (1)

用 NumericalSort 排序不能保证同一数字的不同表示的特定顺序：

Wolfram Language code: list = {N[3, $MachinePrecision], 3, 3., N[3, 47]}
Wolfram Language code: NumericalSort[list]

经典排序则总是以一种确定的方式重新排列：

Wolfram Language code: Sort[list]
Wolfram Research (2017)，NumericalSort，Wolfram 语言函数，https://reference.wolfram.com/language/ref/NumericalSort.html.

文本

Wolfram Research (2017)，NumericalSort，Wolfram 语言函数，https://reference.wolfram.com/language/ref/NumericalSort.html.

CMS

Wolfram 语言. 2017. "NumericalSort." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/ref/NumericalSort.html.

APA

Wolfram 语言. (2017). NumericalSort. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/NumericalSort.html 年

BibTeX

@misc{reference.wolfram_2026_numericalsort, author="Wolfram Research", title="{NumericalSort}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/NumericalSort.html}", note=[Accessed: 12-November-2026]}

BibLaTeX

@online{reference.wolfram_2026_numericalsort, organization={Wolfram Research}, title={NumericalSort}, year={2017}, url={https://reference.wolfram.com/language/ref/NumericalSort.html}, note=[Accessed: 12-November-2026]}