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Phase line

A phase line may refer to:

  • Phase line (mathematics), used to analyze autonomous ordinary differential equations
  • Phase line (cartography), used to identify phases of military operations or changing borders over time
Phase line (mathematics)

In mathematics, a phase line is a diagram that shows the qualitative behaviour of an autonomous ordinary differential equation in a single variable, $\tfrac{dy}{dt} = f(y)$. The phase line is the 1-dimensional form of the general n-dimensional phase space, and is very simple to analyze.

Phase line (cartography)

In cartography, a phase line is a line to show some positional dependency or relation to the passage of time, most often changing phases of a military operation, or changing borders in histogeographic maps.

Usage examples of "phase line".

OP Four's position was clearly marked on it about 1500 meters forward of Phase Line Katana, just in front of Hill 353.

It was planned that from this line the assault regiments would punch out to the D-day phase line.

When he tried to feed it on a 380-volt 3-phase line the robot had given out a rumbling sound for a moment but then the 15-amp fuses broke down.