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单词 Level line
释义

Level line

原声例句
一双蓝蓝的眼睛(下)

'What is that level line of little sparkles—a town, I suppose'?

“那条小火花的水平线是什么——我想是一个城镇”?

VOA Special 2013年2月合集

Mappers and builders use laser technology every day. For example, drawing a perfectly level straight line on a construction site is easy using a laser.

绘图员和建筑商每天都在使用激光技术。 例如,使用激光很容易在建筑工地上绘制一条完美水平的直线。

《沙丘》有声书

Where the Duke pointed, crescent dune tracks spread shadow ripples toward the horizon and, running through them as a level line stretching into the distance, came an elongated mount-in-motion—a cresting of sand.

在公爵所指的地方, 新月形的沙丘轨迹向地平线散布阴影涟漪,穿过它们作为一条延伸到远处的水平线, 出现了一个细长的运动山——沙顶。

中文百科

水平集 Level set

(重定向自Level line)
一个以不同方式表达的三页扭结.
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.

在数学领域中, 一个具有n变量的实值函数f水平集是具有以下形式的集合

{ (x1,...,xn) | f(x1,...,xn) = c }

其中 c 是常数. 即, 使得函数值具有给定常数的变量集合.

当具有两个变量时, 称为水平曲线(等高线), 如果有三个变量, 称为水平曲面, 更多变量时, 水平集被叫做水平超曲面.

集合

{ (x1,...,xn) | f(x1,...,xn) ≤ c }

被称为 f子水平集 .

英语百科

Level set 水平集

(重定向自Level line)
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 13:16:27