#RATIONAL ROSE SOFTWARE#
But I imagine I still wouldn’t like the UML-laden style of software development it was built around. Rational Rose was horribly buggy when I used it in the 1990s. If we insert absolute value in the plot above, still plotting from 0 to 2π, we do not reproduce the Mathematca plot. In general you have to do more work than this.
That’s only happened true when plotted over the entire range 0 to 8π. Note that in this particular example, taking the absolute value of the function being plotted was enough to make matplotlib act like I expected. Visual Paradigm for UML is an easy-to-use UML. StarUML supports MDA (Model Driven Architechture) approach as well. StarUML supports both UML 1.4 and UML 2.0 notations.
#RATIONAL ROSE FREE#
StarUML is a free and open source replacement for Rational Rose. In matplotlib, the first argument is θ and the second argument is r(θ). Rational Rose is one of the most widely used software to generate UML diagrams. Note also that in Mathematica, the first argument to PolarPlot is r(θ) and the second is the limits on θ. Notice the r-axis labels at about 22° running from -1 to 1. It handles negative r values by moving the point r = 0 to a circle in the middle of the plot. Matplotlib produces something very different. The curvature can be computed in Mathematica as follows. (The curvature of a circle of radius r is 1/ r.) So we would expect the curvature to oscillate roughly around 2. The curve is made of arcs that are approximately circular, with the radius of these approximating circles being roughly 1/2, sometimes bigger and sometimes smaller. The graph above has radius 1 since cosine ranges from -1 to 1. Differences between polar plots in Python and Mathematica.In this post I’d like to look at two things:
Unlike the case where k is an integer, the petals overlap. This post will look at a particular rose with k = 2/3. This is the sense in which I’m using the phrase “rational rose.” I’m not referring to an awful piece of software by that name. Sometimes the term rose is generalized to the case of non-integer k. If k is odd, the resulting graph has k “petals” and if k is even, the plot has 2 k petals. A “rose” in mathematics is typically a curve with polar equation
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