axiom-test 20170501-3 / usr / share / axiom-20170501 / input / exsum.input

This file is indexed.

/usr/share/axiom-20170501/input/exsum.input is in axiom-test 20170501-3.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below. 

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)set break resume
)spool exsum.output
)set message test on
)set message auto off
)clear all

--S 1 of 13
sum(k * x^k,k = 1..n)
--R 
--R
--R            2               n
--R        (n x  + (- n - 1)x)x  + x
--R   (1)  -------------------------
--R                2
--R               x  - 2x + 1
--R                                                    Type: Expression(Integer)
--E 1

)clear all

--S 2 of 13
limit( sum(1/(k * (k + 2)),k = 1..n) ,n = %plusInfinity)
--R 
--R
--R        3
--R   (1)  -
--R        4
--R            Type: Union(OrderedCompletion(Fraction(Polynomial(Integer))),...)
--E 2

)clear all

--S 3 of 13
s := sum(k^2,k = a..b)
--R 
--R
--R          3     2         3     2
--R        2b  + 3b  + b - 2a  + 3a  - a
--R   (1)  -----------------------------
--R                      6
--R                                          Type: Fraction(Polynomial(Integer))
--E 3

--S 4 of 13
eval(s,[a,b],[1,25])
--R 
--R
--R   (2)  5525
--R                                          Type: Fraction(Polynomial(Integer))
--E 4

--S 5 of 13
reduce(+,[i^2 for i in 1..25])
--R 
--R
--R   (3)  5525
--R                                                        Type: PositiveInteger
--E 5

)clear all

--S 6 of 13
sum(3*k^2/(c^2 + 1) + 12*k/d,k = (3*a)..(4*b))
--R 
--R
--R   (1)
--R            3      2           3      2               2             2        2
--R       (128b  + 48b  + 4b - 54a  + 27a  - 3a)d + (192b  + 48b - 108a  + 36a)c
--R     + 
--R           2             2
--R       192b  + 48b - 108a  + 36a
--R  /
--R        2
--R     (2c  + 2)d
--R                               Type: Union(Fraction(Polynomial(Integer)),...)
--E 6

)clear all

--S 7 of 13
[i for i in 1..15]
--R 
--R
--R   (1)  [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
--R                                                  Type: List(PositiveInteger)
--E 7

--S 8 of 13
reduce(+,[i for i in 1..15])
--R 
--R
--R   (2)  120
--R                                                        Type: PositiveInteger
--E 8

)clear all

--S 9 of 13
reduce(+,[1.0/factorial(n) for n in 0..20])
--R 
--R
--R   (1)  2.7182818284 590452354
--R                                                                  Type: Float
--E 9

)clear all

--S 10 of 13
[n^2 for n in 5..20]
--R 
--R
--R   (1)  [25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400]
--R                                                  Type: List(PositiveInteger)
--E 10

--S 11 of 13
reduce(+,[n^2 for n in 5..20])
--R 
--R
--R   (2)  2840
--R                                                        Type: PositiveInteger
--E 11

)clear all

--S 12 of 13
sum(k^3,k = 1..n)
--R 
--R
--R         4     3    2
--R        n  + 2n  + n
--R   (1)  -------------
--R              4
--R                                          Type: Fraction(Polynomial(Integer))
--E 12

--S 13 of 13
sum(k,k = 1..n) ^ 2
--R 
--R
--R         4     3    2
--R        n  + 2n  + n
--R   (2)  -------------
--R              4
--R                                          Type: Fraction(Polynomial(Integer))
--E 13
)spool 
)lisp (bye)

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