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1·To show this diagram properly, I would really need a four dimensional screen.

为了恰当地呈现这个图表，我真的将需要一个四维的屏幕。

2·Or perhaps we should we go another way and allow that a four dimensional object is real.

或者我们可以换一种办法，姑且承认四维的物体是确实存在的。

3·Finally, we verified that the doublet four dimensional potential electromagnetic theory has obvious SO (2) duality symmetry.

最后验证了电磁对偶的双四维势电磁场理论具有SO(2)电磁对偶性。

4·In general relativity, time is considered a dimension like height, width and depth, creating a four dimensional universe called space-time.

在广义相对论中，时间被看作和长宽高一样的维度，并与它们构成了一个四维宇宙—被称作时空。

5·Using the Gauss-Bonnet theorem, Stephen Hawking proved that the topology of the event horizon of a (four dimensional) black hole is a 2-sphere.

使用高斯-博内定理， 史蒂芬· 霍金证明一个（四维）黑洞活动视界的拓扑结构是2个球体。

6·This article, on the basis of four dimensional coordinates and four dimensional wave vectors of world space, proves the phrase constancy of electromagnetic waves.

作者在该文中从世界空间的四维坐标和四维波矢量出发，证明了电磁波的相位不变性。

7·Therefore, the study of the chief method, namely four dimensional stimulus, to promote the athletes mental quality has important theoretical and realistic significance.

因此，探讨和研究提高运动员心理素质的主要途径，即“四维刺激” ，具有重要的理论意义和现实意义。

8·Fuller's prefabricated Dymaxion House of the late twenties (also called the four dimensional living machine) dates back to the grandparents of the countercultural generation.

Fuller在20年代末预制的Dymaxion House（又叫做“四维生活机器”）跟反文化一代的祖父母年岁相近。

9·The four dimensional space, means that the mankind the substance space( namely three dimensional space ) of the concrete activity, plus one more consciousness measurement ( time factor).

四维空间，是指在人类具体活动的实质空间（即三维空间）之上，再加上一个瞬间取向的知觉量度（即时间因素）。

10·The monition equations of airfoil are written as the four dimensional first order differential equations. Taking airspeed and the linear part of pitching stiffness as the bifurcation parameters.

机翼的运动方程可以写成四维一阶常微分方程，取广义气流速度和线性俯仰刚度作为分岔参数。