论文标题
希尔伯特(Hilbert)空间代表二进制操作的振荡器
Hilbert space representation of binary operations on a power-multiplying oscillator
论文作者
论文摘要
在这项研究中,分析了由连接到雪索并将其放置在具有一定斜率的移动平台上的振荡系统的性能。使用复数来收集系统中包含的信息,这对于观察交叉和点产品所描述的属性而言至关重要。复数中物理量的表示表明,就某些角度而言,恰恰是振荡转化为位移的那些角度,系统的性质在真实平面中表示。
In this study, the properties of an oscillating system composed of a pendulum connected to a seesaw and placed on a moving platform with a certain slope are analyzed. Using complex numbers to collect the information contained in the system proves to be crucial in order to observe the properties described by both cross and dot products. The representation of physical quantities in complex numbers reveals that for certain angles, precisely those where the oscillation translates into a displacement, the properties of the system are expressed in the real plane.