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• It is locally convex in the sense that it has no loops and the curvature never changes sign.

局部因为没有环路曲率永远不会改变符号

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• The hyperbolic surface, which has so-called negative curvature because its surface curves up and down at the same time, like a saddle.

双曲曲面，即通常所称的曲率因为表面同时向上向下弯曲，就像一个马鞍。

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• Curvature of the surface prevents slump block from becoming completely detached.

表面曲率防止滑塌完全脱离

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• If the universe has a positive curvature, it's a closed universe.

正曲率宇宙封闭的宇宙。

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• It goes back... Actually, some of you may be able to see the curvature.

回来了。，事实上你们有些人也许看到曲率

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• Matter, energy and dark energy all produce curvature in space-time, however.

事实上，物质能量能量时空中都会产生弯曲

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• Any farther away, and the system encounters problems due to the curvature of the earth.

由于地球表面弯曲，距离更远时，系统就遇到问题

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• Because at that height you can see the blackness of space and the curvature of the earth.

因为那个高度可以看到太空漆黑地球的轮廓。

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• Technically, it occurs when the rate of curvature between 2 continuous surfaces are the same.

从技术上讲两个连续曲面拥有同样曲率会出现。

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• Negative curvature is a little trickier to visualize. The most common description is a saddle.

了解曲率宇宙要动脑筋，常见描述就是它像马鞍。

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• Rickets is a degenerative bone condition that can lead to curvature of the spine and bone fractures.

佝偻病一种骨髓退化状态导致脊椎骨质结构弯曲

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• the radius of curvature of our arc, which is also an air track, equals 115 plus or minus five meters.

,这个弧度半径也是空气轨道等于115上下5

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• The light gradually fades along the curvature of the Earth, until it is pitch black on the night side.

照耀下像上了一层暖色的颜料。 日光在地球表面弯曲下逐渐消失直到另一头漆黑一片。

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• In a negative curvature model, two lines that would be parallel on a flat plane will extend away from each other.

曲率模型下，平面平行条线可能彼此远离

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• Space can have positive curvature, like the surface of a sphere, or negative curvature, like the surface of a saddle.

空间可以向球面一样曲率可以马鞍一样有的曲率。

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• When it is curved, the law of its curvature seems to be at the least of the first and at the most of the second order.

曲线时候，弯曲法则看起来至少至多阶。

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• Researchers coordinate the curvature of the lens and the detector in order to create an image that is magnified and in-focus.

研究者通过调节镜头感光元件曲率产生可放大聚焦图像

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• The curvature of the earth is clearly visible, highlighted by the electric blue of the atmosphere just above the horizon.

地球轮廓清晰可见地平线上的铁蓝色大气层照亮。

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• The bowl's curvature is like a rule that inputs the marble's entry point and returns the lowest point, the bottom of the bowl.

曲率像是一个规则输入球的入口然后返回最低点，即碗底。

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• A more complicated curvature would be like a function that inputs an entry point and returns one of several local lowest points.

更为复杂曲率类似于一个函数输入入口返回几个局部最低点中的其中之一

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• These waves of curvature in space-time are known as gravitational waves and will temporarily distort any object they pass through.

使时空弯曲波纹称为引力波，引力波使任何穿过它的物体暂时扭曲变形。

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• While another features a bend of green light following the curvature of the earth and almost appearing to slice through the starry sky.

一张图片上绿光跟随大地弯曲，在布满星星夜空这些绿光好像变成了一一片。

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• An American science student has captured images of the curvature of the Earth after sending a balloon into space on a shoestring budget.

美国名理科生投入成本向太空发射了一个气球拍摄地球表面图像

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• Aurora-inspiring: This image shows the green beam of the Northern Lights cutting through the night sky as it tracks the curvature of the earth.

神奇极光张照片显示绿色极光穿过夜空随着大地曲线弯曲

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• Then, with a few assumptions about the curvature and contents of the universe, they can reconstruct the positions of those objects from redshifts.

然后通过一些关于宇宙曲率内容假设，科学家们能够重建这些物体位置

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• Then, with a few assumptions about the curvature and contents of the universe, they can reconstruct the positions of those objects from redshifts.

然后通过一些关于宇宙曲率内容假设，科学家们能够重建这些物体位置

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