GrapherΒΆ
The continuous function within the interval.
These two entities are being used to construct a planar graph of consecutive vectors (Banach space).
Building the vector graph starting at origin.
The vector for each element of r(t) built from the rotation of all preceding element-vectors, its own angle and distance.
In the example given below, for simplicity r(t) is not time-variant. Otherwise step-length could vary.
Within the interval satisfying the condition,
the scaling factor using the arithmetic mean of changes in value of r(t) is.
A different scaling factor can be chosen. The criteria for choosing a scaling factor is whether the shortest impulse in the non time-variant function r(q) forms a distinguishable shape in the planar graph.
This would be something similar to the above vector graph using a different factor.
And something similar using an even bigger factor.
Once the vector graph has been calculated, it can be used as input for the Analyzer.