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。
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）。
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。
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。
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。
Representation of four-dimensional vectors.
表示四维向量。
Objective: To assess the value of four-dimensional ultrasound in the diagnosis of surface deformity in fetus.
目的：探讨实时三维超声在诊断胎儿体表结构畸形中的临床应用价值。
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。
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。
All the cultural classics in the history of mankind are the historical relics unfolding in the far-stretching four-dimensional space.
人类历史上所有的文化经典都是在绵延无尽的四维时空中展开的历史流传物。
A linear state feedback controller is designed for controlling a four-dimensional chaotic system by the inverse optimal controlling approach.
采用逆最优控制方法为一种四维混沌系统设计了一个线性状态反馈控制器。
The forced vibration of pendulum is described by four-dimensional phase space and the fourth order autonomous ordinary differential equation.
本文用四维相空间和四阶自洽常微分方程描写了单摆的受迫振动。
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。
Furthermore, the conventional observations are done in the MM5 model system, and a four-dimensional variational data assimilation test is made based on observed data.
最后对MM5伴随模式系统进行了梯度检验，并利用实际资料进行四维变分资料同化试验。
A four-dimensional IA model was studied in this paper, which includes IA object dimension, IA capability dimension, IA countermeasure dimension and IA time dimension.
文章研究了一类四维信息保障(IA)模型，包括IA目标维、IA能力维、IA措施维和IA时间维。
For now, people only know about the one-dimensional time, two-dimensional, three-dimensional space, and Einstein, the reference to "four-dimensional space-time" concept.
就目前而言，人们只了解一维时间、二维平面、三维空间以及爱因斯坦提及的“四维时空”概念。
The four-dimensional space-time of special relativity is augmented with a fifth dimension to take into account the gauge transformation of the electromagnetic potentials.
本文从电磁势的规范变换出发引入第五维空间和一个新场量。
When the match between the unemployed and the vacant positions is efficient, the economic system described by a four-dimensional differential equation system has a stable two-dimensional manifold.
当失业工人和空闲职位的匹配是有效时，表示经济系统的四维动力系统存在一个稳定的二维流形。
The key problem of four-dimensional variational data assimilation method, which solves the constraining numerical predict equations through accompanied model, is how to establish an accompanied model.
应用伴随方法求解以数值预报方程作为约束条件的四维变分资料同化方案，关键问题是如何构造伴随模式。
This paper does the experiments of Doppler radar's Four-dimensional Variational Assimilation in MM5 model.
本文的工作就是多普勒雷达资料在MM 5模式中的四维变分同化试验。
Demonstrated Homomorphic Characteristic Between SO (4, 2) and SU (2, 2) by Stereographically Projecting of Four-dimensional Coordinates.
借助于四维坐标的球极平面投影验证SO(4,2)与SU(2,2)间的同态特性。
Four-dimensional point groups are deduced by generating normal three-dimensional point groups with certain restrictions which are unique for modulated structures.
在某些限制下，推广三维点群的概念，导出四维空间点群。
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。
Hyperspace refers to the dimensional space which is more than four dimensions.
超空间是指超过四个维度的空间。
This lidar system allows three-dimensional measurements by using a steering unit, and can measure four kinds of pollutants in atmosphereaerosol, SO 2, NO 2, and O 3.
该雷达系统能监测四种大气污染物，即大气气溶胶、二氧化硫、二氧化氮和臭氧。
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。
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。
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。
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