sm1.distraction

sm1.distraction([f,v,x,d,s]|proc=p)

:: ask the sm1 server to compute the distraction of f.

return

List

p

Number

f

Polynomial

v,x,d,s

List

• It asks the sm1 server of the descriptor number p to compute the distraction of f in the ring of differential operators with variables v.
• x is a list of x-variables and d is that of d-variables to be distracted. s is a list of variables to express the distracted f.
• Distraction is roughly speaking to replace x*dx by a single variable x. See Saito, Sturmfels, Takayama : Grobner Deformations of Hypergeometric Differential Equations at page 68 for details.

[280] sm1.distraction([x*dx,[x],[x],[dx],[x]]);
x
[281] sm1.distraction([dx^2,[x],[x],[dx],[x]]);
x^2-x
[282] sm1.distraction([x^2,[x],[x],[dx],[x]]);
x^2+3*x+2
[283] fctr(@);
[[1,1],[x+1,1],[x+2,1]]
[284] sm1.distraction([x*dx*y+x^2*dx^2*dy,[x,y],[x],[dx],[x]]);
(x^2-x)*dy+x*y

Reference

distraction2(sm1),

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