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-rw-r--r--src/algebra/gaussian.spad.pamphlet8
1 files changed, 4 insertions, 4 deletions
diff --git a/src/algebra/gaussian.spad.pamphlet b/src/algebra/gaussian.spad.pamphlet
index ccbd0728..b45a902e 100644
--- a/src/algebra/gaussian.spad.pamphlet
+++ b/src/algebra/gaussian.spad.pamphlet
@@ -157,7 +157,7 @@ ComplexCategory(R:CommutativeRing): Category ==
coordinates(x:%, v:Vector %):Vector(R) ==
ra := real(a := v(minIndex v))
rb := real(b := v(maxIndex v))
- (#v ^= 2) or
+ (#v ~= 2) or
((d := recip(ra * (ib := imag b) - (ia := imag a) * rb))
case "failed") =>error "coordinates: vector is not a basis"
rx := real x
@@ -332,12 +332,12 @@ ComplexCategory(R:CommutativeRing): Category ==
xx := x * y1
x1 := real(xx) rem r
a := x1
- if x1^=0 and sizeLess?(r, 2 * x1) then
+ if x1~=0 and sizeLess?(r, 2 * x1) then
a := x1 - r
if sizeLess?(x1, a) then a := x1 + r
x2 := imag(xx) rem r
b := x2
- if x2^=0 and sizeLess?(r, 2 * x2) then
+ if x2~=0 and sizeLess?(r, 2 * x2) then
b := x2 - r
if sizeLess?(x2, b) then b := x2 + r
y1 := (complex(a, b) exquo y1)::%
@@ -759,7 +759,7 @@ ComplexIntegerSolveLinearPolynomialEquation(R,CR): C == T
slpePrime:R:=(2::R)
oldtable:Vector List CP := empty()
solveLinearPolynomialEquation(lp,p) ==
- if (oldlp ^= lp) then
+ if (oldlp ~= lp) then
-- we have to generate a new table
deg:= _+/[degree u for u in lp]
ans:Union(Vector List CP,"failed"):="failed"