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author | Jiri (George) Lebl <jiri.lebl@gmail.com> | 2017-04-26 20:16:21 -0500 |
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committer | Jiri (George) Lebl <jiri.lebl@gmail.com> | 2017-04-26 20:17:37 -0500 |
commit | eb5333064b94bf830cde892db90013d5c95f5478 (patch) | |
tree | 8e1cf39a0219eb8ef1de2687176ee683cde5da8b /help | |
parent | d34997ef26f830529ee7f614b7a63ef4735ab2b4 (diff) |
update
Diffstat (limited to 'help')
-rw-r--r-- | help/genius.txt | 33 |
1 files changed, 22 insertions, 11 deletions
diff --git a/help/genius.txt b/help/genius.txt index 40f75ac8..5c93f028 100644 --- a/help/genius.txt +++ b/help/genius.txt @@ -1231,9 +1231,9 @@ genius> 2*2 mod 7 treated as true. a xor b - Logical xor. Returns true exactly one of a or b is true, - else returns false. If given numbers, nonzero numbers - are treated as true. + Logical xor. Returns true if exactly one of a or b is + true, else returns false. If given numbers, nonzero + numbers are treated as true. not a Logical not. Returns the logical negation of a @@ -5217,6 +5217,8 @@ Combinations (k,n) Get all combinations of k numbers from 1 to n as a vector of vectors. (See also NextCombination) + See Wikipedia for more information. + DoubleFactorial DoubleFactorial (n) @@ -5259,13 +5261,13 @@ Fibonacci (x) FrobeniusNumber (v,arg...) Calculate the Frobenius number. That is calculate - smallest number that cannot be given as a non-negative + largest number that cannot be given as a non-negative integer linear combination of a given vector of non-negative integers. The vector can be given as separate numbers or a single vector. All the numbers given should have GCD of 1. - See Mathworld for more information. + See Wikipedia or Mathworld for more information. GaloisMatrix @@ -5284,7 +5286,7 @@ GreedyAlgorithm (n,v) increasing order and should consist of non-negative integers. - See Mathworld for more information. + See Wikipedia or Mathworld for more information. HarmonicNumber @@ -5293,6 +5295,10 @@ HarmonicNumber (n,r) Aliases: HarmonicH Harmonic Number, the nth harmonic number of order r. + That is, it is the sum of 1/k^r for k from 1 to n. + Equivalent to sum k = 1 to n do 1/k^r. + + See Wikipedia for more information. Hofstadter @@ -5301,6 +5307,9 @@ Hofstadter (n) Hofstadter's function q(n) defined by q(1)=1, q(2)=1, q(n)=q(n-q(n-1))+q(n-q(n-2)). + See Wikipedia for more information. The sequence is + A005185 in OEIS. + LinearRecursiveSequence LinearRecursiveSequence (seed_values,combining_rule,n) @@ -5354,6 +5363,8 @@ do ( See also Combinations. + See Wikipedia for more information. + Pascal Pascal (i) @@ -5910,7 +5921,7 @@ MoebiusDiskMapping (a,z) Moebius mapping of the disk to itself mapping a to 0. - See Planetmath for more information. + See Wikipedia or Planetmath for more information. MoebiusMapping @@ -5919,7 +5930,7 @@ MoebiusMapping (z,z2,z3,z4) Moebius mapping using the cross ratio taking z2,z3,z4 to 1,0, and infinity respectively. - See Planetmath for more information. + See Wikipedia or Planetmath for more information. MoebiusMappingInftyToInfty @@ -5928,7 +5939,7 @@ MoebiusMappingInftyToInfty (z,z2,z3) Moebius mapping using the cross ratio taking infinity to infinity and z2,z3 to 1 and 0 respectively. - See Planetmath for more information. + See Wikipedia or Planetmath for more information. MoebiusMappingInftyToOne @@ -5937,7 +5948,7 @@ MoebiusMappingInftyToOne (z,z3,z4) Moebius mapping using the cross ratio taking infinity to 1 and z3,z4 to 0 and infinity respectively. - See Planetmath for more information. + See Wikipedia or Planetmath for more information. MoebiusMappingInftyToZero @@ -5946,7 +5957,7 @@ MoebiusMappingInftyToZero (z,z2,z4) Moebius mapping using the cross ratio taking infinity to 0 and z2,z4 to 1 and infinity respectively. - See Planetmath for more information. + See Wikipedia or Planetmath for more information. PoissonKernel |