I don't know why this didn't format correctly.
integrate(((%pi)^(-1/2))*(A)*(((delta)^(-2))^(-1/2))*(exp((((xi)+(-1/1))*(dx)*((k)^(2))*(t)*(v)*(1/2))+(((delta)^(2))*((k)^(2))*(-1/4))+((k)*(t)*(v)*(0+%i*-1))+((k)*(x)*(0+%i*1))))*(1/2),k,0,inf);
I'm sorry I don't have a more succinct example of this. See http://ask.sagemath.org/question/2314/illegal-kernel-in-adjoin-pvar for the original report.
(%i3) integrate(((%pi)^(-1/2))*(A)*(((delta)^(-2))^(-1/2)) *(exp((((xi)+(-1/1))*(dx)*((k)^(2))*(t)*(v)*(1/2)) +(((delta)^(2))*((k)^(2))*(-1/4))+((k)*(t)*(v)*(0+%i*-1)) +((k)*(x)*(0+%i*1))))*(1/2),k,0,inf); Condition of type: SIMPLE-CONDITION Illegal kernel in `adjoin-pvar' Available restarts: 1. (CONTINUE) Return from BREAK. 2. (MACSYMA-QUIT) Maxima top-level Top level.
I don't know why this didn't format correctly.
integrate(((%pi)^(-1/2))*(A)*(((delta)^(-2))^(-1/2))*(exp((((xi)+(-1/1))*(dx)*((k)^(2))*(t)*(v)*(1/2))+(((delta)^(2))*((k)^(2))*(-1/4))+((k)*(t)*(v)*(0+%i*-1))+((k)*(x)*(0+%i*1))))*(1/2),k,0,inf);
This is the same in 5.29.1 and 5.26.0 in ECL. I get a slightly different error in 5.20.1.
Illegal kernel in `adjoin-pvar'
Available restarts:
Broken at ADJOIN-PVAR.
This is all in hayat.lisp
Observed in current development version.
Maxima version: "branch_5_30_base_90_g122d48e_dirty"
Maxima build date: "2013-05-22 18:42:44"
Host type: "i686-pc-linux-gnu"
Lisp implementation type: "SBCL"
Lisp implementation version: "1.0.49"
Diff:
--- old +++ new @@ -1,13 +1,16 @@ I'm sorry I don't have a more succinct example of this. See http://ask.sagemath.org/question/2314/illegal-kernel-in-adjoin-pvar for the original report. -(%i3) integrate(((%pi)^(-1/2))*(A)*(((delta)^(-2))^(-1/2))*(exp((((xi)+(-1/1))*(dx)*((k)^(2))*(t)*(v)*(1/2))+(((delta)^(2))*((k)^(2))*(-1/4))+((k)*(t)*(v)*(0+%i*-1))+((k)*(x)*(0+%i*1))))*(1/2),k,0,inf); + (%i3) integrate(((%pi)^(-1/2))*(A)*(((delta)^(-2))^(-1/2)) + *(exp((((xi)+(-1/1))*(dx)*((k)^(2))*(t)*(v)*(1/2)) + +(((delta)^(2))*((k)^(2))*(-1/4))+((k)*(t)*(v)*(0+%i*-1)) + +((k)*(x)*(0+%i*1))))*(1/2),k,0,inf); -Condition of type: SIMPLE-CONDITION -Illegal kernel in `adjoin-pvar' + Condition of type: SIMPLE-CONDITION + Illegal kernel in `adjoin-pvar' -Available restarts: + Available restarts: -1. (CONTINUE) Return from BREAK. -2. (MACSYMA-QUIT) Maxima top-level + 1. (CONTINUE) Return from BREAK. + 2. (MACSYMA-QUIT) Maxima top-level -Top level. + Top level.
A stack trace shows that the error is in 'taylor'. Here is the simplest version which shows the problem:
taylor (%e^(a*k^2*x/2-k^2), k, inf, 0); => Illegal kernel in `adjoin-pvar'
It appears to be sensitive to ordering terms: replacing 'k' with 'z' allows the call to succeed (after a sign question).
In fact, replacing 'k' with 'z' in the original integral allows 'integrate' to run to completion (after some sign questions). It returns a noun expression (unsolved integral) which seems odd -- isn't it a relatively easy integral? I didn't look too closely, I guess -- but at least it is not an error.
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