Quaternions, which extend imaginary numbers into a further dimension, began to be developed by William Hamilton in Dublin in 1843.
1843年,威廉•汉密尔顿(WilliamHamilton)在都柏林发明了四元数,将虚数扩展到四维空间。When an interval is imaginary, we say that the two points have a space-like interval between them.
当间隔为虚数时,我们说这两点之间有一个类空间隔。The very name conveys the supposed uselessness of the concept. Square the imaginary unit, i, and you get minus one. Baffling.
虚数这个名字本身就传递出了人们认为这一概念无用的态度。虚数单位i的平方等于-1。这真是令人费解。Intervals can be either real or imaginary in the theory of relativity.
在相对论中,间隔可以是实数,也可以是虚数。Solving Problems with the Condition of "the Quotient Being Pure Imaginary"
利用“商为纯虚数”的条件解题The mathematical formulation of the quantum theory has required the use of imaginary numbers.
量子理论的数学公式需要运用虚数。Square the imaginary unit, i, and you get minus one.
虚数单位i的平方等于-1。The most famous example is the development of imaginary numbers.
最著名的例子便是虚数理论的发展。We have to distinguish between the propagating modes with real valued , and the evanescent modes with imaginary
我们必须分别考虑具有实数β的导模和具有虚数β的消失模。