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单词 Level sets
释义

Level sets

原声例句
BBC 听力 2015年12月合集

Air pollution figures reached three times the level set by the World Health Organization as acceptable.

空气污染指数已经超过世卫组织建议值的3倍。

VOA慢速英语_世界

Each one of the possible situations meets the warming levels set in the 2015 Paris climate agreement.

每一种可能的情况都符合2015年巴黎气候协定中设定的变暖水平。

斯坦福公开课：如何有效沟通

Would anyone else like to volunteer just a quick notification count so we can get a good level set?

还有谁愿意提供一个快速通知计数，这样我们就能得到一个好的水平集？

未来世界建设

With sea levels set to rise by at  least half a metre before the end of this century and extreme  weather becoming more common, the Danish capital now finds itself a bit  exposed with little in the way of protection.

随着本世纪末海平面将上升至少半米，极端天气变得越来越普遍，丹麦首都现在发现自己有点暴露在外，几乎没有任何保护措施。

英语百科

Level set

Points at constant slices of x2 = f(x1).Lines at constant slices of x3 = f(x1, x2).Planes at constant slices of x4 = f(x1, x2, x3).(n − 1)-dimensional level sets for functions of the form f(x1, x2, ..., xn) = a1x1 + a2x2 + ... + anxn where a1, a2, ..., an are constants, in (n + 1)-dimensional Euclidean space, for n = 1, 2, 3.
Points at constant slices of x2 = f(x1).Contour curves at constant slices of x3 = f(x1, x2).Curved surfaces at constant slices of x4 = f(x1, x2, x3).(n − 1)-dimensional level sets of non-linear functions f(x1, x2, ..., xn) in (n + 1)-dimensional Euclidean space, for n = 1, 2, 3.

In mathematics, a level set of a real-valued function f of n real variables is a set of the form

that is, a set where the function takes on a given constant value c.

When the number of variables is two, a level set is generically a curve, called a level curve, contour line, or isoline. So a level curve is the set of all real-valued solutions of an equation in two variables x1 and x2. When n = 3, a level set is called a level surface (see also isosurface), and for higher values of n the level set is a level hypersurface. So a level surface is the set of all real-valued roots of an equation in three variables x1, x2 and x3, and a level hypersurface is the set of all real-valued roots of an equation in n (n > 3) variables.
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更新时间：2025/6/21 5:13:01