The forced vibration of pendulum is described by four-dimensional phase space and the fourth order autonomous ordinary differential equation.
Zinovyev and Gorban then plot this data in four-dimensional space.
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.
At the same time, there is no brand on the "Introduction" and "trade", "cite", "only" four-dimensional space to conduct and thought by the rich and recycling, it also can not brand.
Objective: To assess the value of four-dimensional ultrasound in the diagnosis of surface deformity in fetus.
We live in a four-dimensional universe, moving in length, breadth, height and time.
It is mainly the light and space sequence that create the four-dimensional space.
When we break through barriers when the speed of light will enter into the four-dimensional space, and otherwise speed down to zero both into two-dimensional space.
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.
I was trying to visualize how to construct a tesseract around a four-dimensional sphere when I drifted away to sleep.
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