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2. Envelope (waves) - Wikipedia

   en.wikipedia.org/wiki/Envelope_(waves)

   The envelope thus generalizes the concept of a constant amplitude into an instantaneous amplitude. The figure illustrates a modulated sine wave varying between an upper envelope and a lower envelope. The envelope function may be a function of time, space, angle, or indeed of any variable. Envelope for a modulated sine wave.

3. Wave packet - Wikipedia

   en.wikipedia.org/wiki/Wave_packet

   In physics, a wave packet (also known as a wave train or wave group) is a short burst of localized wave action that travels as a unit, outlined by an envelope. A wave packet can be analyzed into, or can be synthesized from, a potentially-infinite set of component sinusoidal waves of different wavenumbers, with phases and amplitudes such that ...

4. List of equations in wave theory - Wikipedia

   en.wikipedia.org/wiki/List_of_equations_in_wave...

   The phase velocity is the rate at which the phase of the wave propagates in space. The group velocity is the rate at which the wave envelope, i.e. the changes in amplitude, propagates. The wave envelope is the profile of the wave amplitudes; all transverse displacements are bound by the envelope profile.

5. Group velocity - Wikipedia

   en.wikipedia.org/wiki/Group_velocity

   The group velocity is positive (i.e., the envelope of the wave moves rightward), while the phase velocity is negative (i.e., the peaks and troughs move leftward). The group velocity of a wave is the velocity with which the overall envelope shape of the wave's amplitudes—known as the modulation or envelope of the wave—propagates through space.

6. Eckhaus equation - Wikipedia

   en.wikipedia.org/wiki/Eckhaus_equation

   Animation of the wave-packet solution of the linear Schrödinger equation – corresponding with the above animation for the Eckhaus equation. The blue line is the real part of the solution, the red line is the imaginary part, the black line is the wave envelope (absolute value) and the green line is the centroid of the wave packet envelope.

7. What Is the Envelope Budgeting System and Is It Right for You?

   www.aol.com/envelope-budgeting-system-120117208.html

   During these times when everyone pays with a credit card -- or even their phone -- budgeting money can be difficult to master. Having to come up with a budget that actually works is hard enough,...