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-rw-r--r--src/algebra/manip.spad.pamphlet10
1 files changed, 5 insertions, 5 deletions
diff --git a/src/algebra/manip.spad.pamphlet b/src/algebra/manip.spad.pamphlet
index 2322ac7c..5cad4e61 100644
--- a/src/algebra/manip.spad.pamphlet
+++ b/src/algebra/manip.spad.pamphlet
@@ -368,8 +368,8 @@ AlgebraicManipulations(R, F): Exports == Implementation where
inroot(op, x, n) ==
-- one? x => x
(x = 1) => x
--- (x ^= -1) and (one?(num := numer x) or (num = -1)) =>
- (x ^= -1) and (((num := numer x) = 1) or (num = -1)) =>
+-- (x ~= -1) and (one?(num := numer x) or (num = -1)) =>
+ (x ~= -1) and (((num := numer x) = 1) or (num = -1)) =>
inv inroot(op, (num * denom x)::F, n)
(u := isExpt(x, op)) case "failed" => kernel(op, [x, n::F])
pr := u::Record(var:K, exponent:Integer)
@@ -752,7 +752,7 @@ TranscendentalManipulations(R, F): Exports == Implementation where
supexp(p, f1, f2, bse) ==
ans:F := 0
- while p ^= 0 repeat
+ while p ~= 0 repeat
g := htrigs(leadingCoefficient(p)::F)
if ((d := degree(p)::Z - bse) >= 0) then
ans := ans + g * f1 ** d
@@ -781,7 +781,7 @@ TranscendentalManipulations(R, F): Exports == Implementation where
exlog(numer(x := expand arg)) - exlog denom x
num := numer arg
den := denom arg
- (b := (reductum num) / den) ^= 0 =>
+ (b := (reductum num) / den) ~= 0 =>
a := (leadingMonomial num) / den
is?(op, "exp"::Symbol) => exp(expand a) * expand(exp b)
is?(op, "sin"::Symbol) =>
@@ -801,7 +801,7 @@ TranscendentalManipulations(R, F): Exports == Implementation where
smpexp p ==
ans:F := 0
- while p ^= 0 repeat
+ while p ~= 0 repeat
ans := ans + termexp leadingMonomial p
p := reductum p
ans