If I take a polynomial
require'plot'
p=: ($&0 1 0 _1 % [EMAIL PROTECTED]) 30
plot ;/(,: p&p.) 0.1*i:90
and rotate it sufficiently
rot=: (1 _1,:1 1) * (2 1,:1 2)&[EMAIL PROTECTED]
plot ;/(rot 0.375)+/ .*(,: p&p.) 0.1*i:90
it is no longer a function. I can, however, derive a function
from this
plot ;/(#"1~ (= >./\)@{.)(rot 0.375)+/ .*(,: p&p.) 0.1*i:90
My question is: how do I find the rank 0 functions which
correspond to general cases of that plot?
Obviously, this derived function can not be a polynomial
(because of the discontinuities).
Also, I want this derived function to be defined in a fashion
which is independent of the values represented in my
"x domain".
Finally, I am interested in cases where the polynomial is
fixed, but the rotation is unknown (though it's reasonable
to constrain its range -- for example, maybe I should
restrict myself to the rotations corresponding to rot _0.5
through rot 0.5.
Can anyone offer me any suggestions on how to treat this
problem?
Also, I have a stylistic question. Does anyone have any
preferences between
plot ;/(,: p&p.) 0.1*i:90
and
plot j./(,: p&p.) 0.1*i:90
or have any other opinions on how I should perhaps represent
this question differently?
Thanks,
--
Raul
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