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Mathematics
How to define inclusions in Mathematica?
J Jesus Rico-Melgoza
J Jesus Rico-Melgoza, Universidad Michoacana de San Nicolas de Hidalgo
Posted
11 years ago
Dear members of the Wolfram Community,
Does any one has define inclusions (set valued maps) such as
y=0 for x>0 and y=(-inf,0] for x=0, in Mathematica??
Thanks
Jesus Rico
POSTED BY:
J Jesus Rico-Melgoza
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Frank Kampas
Frank Kampas, Physicist at Large Consulting
Posted
11 years ago
It's not really a function. It has an infinite number of values of y for x = 0.
I don't think Plot can handle that.
POSTED BY:
Frank Kampas
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Frank Kampas
Frank Kampas, Physicist at Large Consulting
Posted
11 years ago
y = Piecewise[{{0, x > 0}, {Interval[{-\[Infinity], 0}], x == 0}}]
POSTED BY:
Frank Kampas
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J Jesus Rico-Melgoza
J Jesus Rico-Melgoza, Universidad Michoacana de San Nicolas de Hidalgo
Posted
11 years ago
Thanks!
I used your definition within a Plot function
Plot[y, {x, -1, 1}, Exclusions -> None]
and get only a horizontal line that not correspond to expected function.
What am I doing wrong?
Jesus
POSTED BY:
J Jesus Rico-Melgoza
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J Jesus Rico-Melgoza
J Jesus Rico-Melgoza, Universidad Michoacana de San Nicolas de Hidalgo
Posted
11 years ago
Differential inclusions are very interesting generalizations of ordinary differential equations and definitions like the one you help me with are needed.
Thanks indeed!
Jesus
POSTED BY:
J Jesus Rico-Melgoza
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