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。
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。
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。
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。
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。
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。
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。
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。
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）。
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。
To create a ranking, the important question is whether there is a linear function that reduces this four-dimensional dataset to a one-dimensional set.
对于编制排名而言，最重要的问题是，是否存在一个线性函数，能够对这个四维的数据集进行降维，得到一个一维的数据集（生活质量指数）。
Just as loop quantum gravity breaks up space into tiny "building blocks", CDT assumes that space-time is split into tiny building blocks - this time, four-dimensional chunks called pentachorons.
只不过圈量子引力理论把空间分为微小的“构建模块”，而CDT假设空间-时间不是分成微小的构建模块—而是叫做pentachorons的四维的小块。
At the petabyte scale, information is not a matter of simple three - and four-dimensional taxonomy and order but of dimensionally agnostic statistics.
在PB级别，信息不是简单三维、四维的分类和顺序，而是有维度不可知的统计数据。
On the next rung up the ladder of difficult mathematics comes doing the same thing in four-dimensional space.
在这个困难的数学阶梯上取得下一个进展之前，得先在四维空间做同样的事情。
For those keen to know more: the computations involve "envisioning space and time as part of a four-dimensional crystal lattice, with discrete points spaced along columns and rows.
一点额外的话给那些想要知道更多的人：这个计算包括 “想象一下，时间和空间将成为水晶方格似的四维空间的一部分，不连续的点在空间纵横其间。”
Its description of time travel in a four-dimensional universe presaged the cottage industry in theoretical space-time machines that has sprung up among physicists in recent decades.
近几十年中物理学家们争先恐后进行理论上时光机器的研究，就证明《时间机器》关于四维宇宙中时光旅行的描写极具预见性。
Zinovyev and Gorban then plot this data in four-dimensional space.
然后兹诺瓦·耶夫与戈班在四维空间中对这些数据进行绘制。
His conjecture, made in 1904, was that in this four-dimensional world, all closed three-dimensional surfaces that are simply connected could be transformed to look like a three-dimensional sphere.
他在1904年就提出猜想：在四维空间，所有单连通的封闭三维面都能转化为一个三维球体。
We want everyone to walk into Vera Mitter, have entered a four-dimensional space-time surprise feelings.
我们希望每一个走进维拉米特的人，都有进入一个四维时空的惊喜感受。
I was trying to visualize how to construct a tesseract around a four-dimensional sphere when I drifted away to sleep.
当我渐渐睡着时，我还在想象在一个四维球体周围怎样构造一个超正方体。
This shows that the four-dimensional assimilation have some relation with predictability.
这表明四维同化和可预报期限是联系在一起的。
But you can conceptualize a four-dimensional data structure by thinking of the fourth dimension as multiple three-dimensional cubes.
但是您可以采用将一个四维数据结构看作是多个三维立方体的方式来理解四维数据结构。
The dichotomy has led to decades of research in mathematics and physics, including the discovery of "fake" four-dimensional Spaces by Simon Donaldson in 1984.
这一区别引领了数十年的数学和物理学领域的研究，包括1984年由西蒙·唐纳森发现的伪四维空间。
The dichotomy has led to decades of research in mathematics and physics, including the discovery of "fake" four-dimensional Spaces by Simon Donaldson in 1984.
这一区别引领了数十年的数学和物理学领域的研究，包括1984年由西蒙·唐纳森发现的伪四维空间。
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