Examples of waveform in the following topics:
-
- More generally, waveforms are scalar functions $u$ which satisfy the wave equation, $\frac{\partial^2u}{\partial t^2}=c^2\nabla^2u$.
- This equation simply states that the acceleration of the waveform (Left: second derivative with respect to time) is proportional to the Laplacian (Right: second spatial derivative) of the same waveform.
- Consider one of the most common waveforms, the sinusoid.
- A sample of several common, simple waveforms.
- A waveform is a function that repeats in space.
-
- Adopting Louis de Broglie's proposal of wave-particle duality, Erwin Schrödinger, in 1926, developed a mathematical model of the atom that described the electrons as three-dimensional waveforms rather than point particles.
- A consequence of using waveforms to describe particles is that it is mathematically impossible to obtain precise values for both the position and momentum of a particle at the same time; this became known as the uncertainty principle, formulated by Werner Heisenberg in 1926.
-
- The RMS values are also useful if the voltage varies by some waveform other than sinusoids, such as with a square, triangular or sawtooth waves .
-
- ., in rotation) or the rate of change of the phase of a sinusoidal waveform (e.g., in oscillations and waves), or as the rate of change of the argument of the sine function.
-
- The probability (shown as the color opacity) of finding the particle at a given point x is spread out like a waveform, with no definite position of the particle.