/usr/lib/open-axiom/input/function.input is in open-axiom-test 1.5.0~svn3056+ds-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 | -- Input for page RationatFunctionPage
)clear all
f := (x - y) / (x + y)
numer f
denom f
eval(f, x = 1/x)
eval(f, [x = y, y = x])
-- Input for page AlgebraicFunctionPage
)clear all
f := sqrt(1 + x ** (1/3))
y := rootOf(y**3 + y**2 - x*y + x**3 - 1, y)
differentiate(y, x)
(y + 1) ** 3
g := inv f
ratForm g
-- Input for page OperatorPage
)clear all
R := SQMATRIX(2, INT)
t := operator("tilde")::OP(R)
evaluate(t, m +-> transpose m)
s:R := matrix [[0, 1], [1, 0]]
rho := t * s
z := rho**4 - 1
m:R := matrix [[1, 2], [3, 4]]
z m
rho m
rho rho m
(rho**3) m
b := t * s - s * t
b m
)read opalg
-- Input for page ElementaryFunctionPage
)clear all
f := x * log y * sin(1/(x+y))
eval(f, [x = y, y = x])
eval(f, log y = acosh(x + sqrt y))
-- Input for page FunctionSimplificationPage
)clear all
f := cos(x)/sec(x) * log(sin(x)**2/(cos(x)**2+sin(x)**2))
g := simplify f
h := sin2csc cos2sec g
expandLog h
f1 := sqrt((x+1)**3)
rootSimp f1
g1 := sin(x + cos x)
g2 := complexElementary g1
trigs g2
h1 := sinh(x + cosh x)
h2 := realElementary h1
htrigs h2
-- Input for page PatternMatchingPage
)clear all
groupSqrt := _rule(sqrt(a) * sqrt(b), sqrt(a*b))
a := sqrt(2) * sqrt(3)
groupSqrt a
a := (sqrt(x) + sqrt(y))**4
groupSqrt a
)read sinCosEx
sinCosExpand(sin(x+y-2*z) * cos y)
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