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Results tagged with math
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user 315
The challenge involves mathematics in some central way. Also consider using more specific tags, listed in the tag wiki info.
3
votes
Solving Systems of Equations using Cramer's Rule
Mathematica 40
Setting up the problem in your reference link:
s = {{2, 1, 1}, {1, -1, -1}, {1, 1, 1}};
r = {3, 0, 0};
The algorithm (spaces not needed):
i = 1; (a = s; a[[All, i++]] = r; Det@ …
- 5,507
2
votes
2
votes
Accepted
Print n weird numbers
Mathematica 99 94 87
Spaces not needed. Slow!:
j = i = 0;
While[j<#, i++; If[Union@Sign[Tr /@ Subsets@Most@Divisors@i-i]=={-1, 1}, j++; Print@i]]&
At the expense of a few chars this is a faster …
- 5,507
1
vote
Generate Pascal's Pyramid
Mathematica 65 64
c=Column;c[c@Table[n~Binomial~k,{n,0,p},{k,0,n}]~Table~{p,0,#}]&
Usage
c=Column;c[c@Table[n~Binomial~k,{n,0,p},{k,0,n}]~Table~{p,0,#}]&@5
- 5,507
1
vote
Evaluate the binomial theorem!
Mathematica 36
InputForm@Expand[(#1 a + #2 b )^#3] &
Usage
InputForm@Expand[(#1 a + #2 b )^#3] &[5, .5, 6]
Result:
15625*a^6 +9375.*a^5*b +2343.75*a^4*b^2 +312.5*a^3*b^3 +23.4375*a^2*b^4 + 0.93 …
- 5,507
7
votes
Meta Length Logarithms
Mathematica: 2.079.. (length in bytes = 8)
8~Log~#&
Usage
8~Log~# &@8
(*
1
*)
- 5,507
4
votes
Give the smallest number that has N divisors
Mathematica 38 36
(For[i=1,DivisorSum[++i,1&]!=#,];i)&
Usage:
(For[i=1,DivisorSum[++i,1&]!=#,];i)&@200
Result:
498960
Edit
Some explanation:
DivisorSum[n,form] represents the sum of f …
- 5,507
2
votes
Gregorian to Noxu Time System Conversion
Mathematica 152
Still has some format issues. Spaces added for clarity
Flatten@{#[[5]], {Looplab, Sevit, Hexteria, Sinpad}[[#[[4, 2]] + 1]],
N[#[[3, 2]] + #[[2, 2]]/864, 4]} &@
…
- 5,507
2
votes
Maclaurin series of Black Box Function
Mathematica, 39 chars
InputForm@N@Normal@Series[#1,{x,0,#2}]&
Usage
%[Sin[x], 8]
Output
x - 0.16666666666666666*x^3 + 0.008333333333333333*x^5 - 0.0001984126984126984*x^7
- 5,507
5
votes
Multiples of 67 in a constructed array of arrays?
Mathematica 82 chars
Count[Mod[#,67]==0&/@Flatten@NestList[2MovingAverage[#,2]&,Range[1,99,2],49],True]
-> 17
- 5,507
1
vote
My Word can beat up your Word
Mathematica
Some details still missing
a = {"ZOO"}; b = {"NO"}
f = FixedPoint[IntegerDigits@Total@# &, #] &
If[(s = f /@
NestWhile[(# /. Max@# -> 0 &) /@ # &, (ToCharacterCode @@ # - 64 …
- 5,507
3
votes
Perfect powers in more than one way?
Mathematica: 103 chars
Spaces can be removed
Select[Flatten@
Table[
Solve[Log@#/Log@b == k, k, Integers] /. k -> #, {b, 2, #}] & /@ Range@#,
Length@# > 2 &][[All, 1, 1]] &
Us …
- 5,507