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        "quote": "数学的一条基本原理是，理解一个空间的好方法是借助其上的函数。我们这里所做的可以看作是从$\\mathbf { R } ^ { n }$构造出一种新的空间，其上函数代数为$\\Lambda ^ { * } ( \\mathbf { R } ^ { n } )$，由相对于$\\mathbf { R } ^ { n }$的一组基的坐标函数$\\xi _ { j }$生成。将传统几何推广到包含使这一切有意义的新类型空间，被称为“[<u class=\"concept-term\" data-concept-reference=\"concepts/geometry/supergeometry\" data-concept-identity=\"urn:uuid:05169104-3155-481a-ad02-24789d58afd7\" data-concept-route=\"/concept-identities#concept-05169104-3155-481a-ad02-24789d58afd7\" id=\"first-afcafe8545b3a518f2b9-zh\">超几何(supergeometry)</u>](../../../../../concepts/geometry/supergeometry)”，但我们在此不打算深入这一主题。具有这种新几何的空间上有函数，但没有传统意义上的点，因为我们已经看到，不能问一个反交换函数在某一点的值是多少。",
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        "quote": "A fundamental principle of mathematics is that a good way to understand a space is in terms of the functions on it. What we have done here can be thought of as creating a new kind of space out of $\\mathbf { R } ^ { n }$ , where the algebra of functions on the space is $\\Lambda ^ { * } ( \\mathbf { R } ^ { n } )$ , generated by coordinate functions $\\xi _ { j }$ with respect to a basis of $\\mathbf { R } ^ { n }$ . The enlargement of conventional geometry to include new kinds of spaces such that this makes sense is known as “[<u class=\"concept-term\" data-concept-reference=\"concepts/geometry/supergeometry\" data-concept-identity=\"urn:uuid:05169104-3155-481a-ad02-24789d58afd7\" data-concept-route=\"/concept-identities#concept-05169104-3155-481a-ad02-24789d58afd7\" id=\"first-afcafe8545b3a518f2b9-en\">supergeometry</u>](../../../../../concepts/geometry/supergeometry)”, but we will not attempt to pursue this subject here. Spaces with this new kind of geometry have functions on them, but do not have conventional points since we have seen that one can’t ask what the value of an anticommuting function at a point is.",
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