| Download
All published worksheets from http://sagenb.org
Project: sagenb.org published worksheets
Views: 168749Image: ubuntu2004
Sage Demo
Calculus
WARNING: Output truncated!
[removed]
|
CPU time: 1.24 s, Wall time: 2.98 s
sqrt(pi)*((sqrt(2)*I + sqrt(2))*erf((sqrt(2)*I + sqrt(2))*x/2) + (sqrt(2)*I - sqrt(2))*erf((sqrt(2)*I - sqrt(2))*x/2))/8
\frac{{\sqrt{ \pi } \left( {\left( {\sqrt{ 2 } i} + \sqrt{ 2 } \right) \text{erf} \left( \frac{{\left( {\sqrt{ 2 } i} + \sqrt{ 2 } \right) x}}{2} \right)} + {\left( {\sqrt{ 2 } i} - \sqrt{ 2 } \right) \text{erf} \left( \frac{{\left( {\sqrt{ 2 } i} - \sqrt{ 2 } \right) x}}{2} \right)} \right)}}{8}
\frac{{\sqrt{ \pi } \left( {\left( {\sqrt{ 2 } i} + \sqrt{ 2 } \right) \text{erf} \left( \frac{{\left( {\sqrt{ 2 } i} + \sqrt{ 2 } \right) x}}{2} \right)} + {\left( {\sqrt{ 2 } i} - \sqrt{ 2 } \right) \text{erf} \left( \frac{{\left( {\sqrt{ 2 } i} - \sqrt{ 2 } \right) x}}{2} \right)} \right)}}{8}
X = \frac{-\left( \sqrt{ {b}^{2} - {{4 a} c} } \right) - b}{{2 a}}
Linear Algebra
Time: CPU 0.10 s, Wall: 0.10 s
1626
Factoring
1099511627791 * 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397533
CPU time: 3.78 s, Wall time: 3.86 s
[1099511627791, 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397533]
CPU time: 0.15 s, Wall time: 0.57 s
[1237940039285380274899124357, 2475880078570760549798248507] 3.55
Elliptic Curves
y^2 + y = x^3 - x
Graph Theory
True
5
Multivariate Polynomial Rings
Time: CPU 1.03 s, Wall: 1.06 s
Time: CPU 0.12 s, Wall: 0.12 s
Sage/Singular 2.365641
MAGMA 0.38
Combinatorics
Combinations of [0, 1, 2, 3, 4]
[[], [0], [1], [2], [3], [4], [0, 1], [0, 2], [0, 3], [0, 4], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [3, 4], [0, 1, 2], [0, 1, 3], [0, 1, 4], [0, 2, 3], [0, 2, 4], [0, 3, 4], [1, 2, 3], [1, 2, 4], [1, 3, 4], [2, 3, 4], [0, 1, 2, 3], [0, 1, 2, 4], [0, 1, 3, 4], [0, 2, 3, 4], [1, 2, 3, 4], [0, 1, 2, 3, 4]]
[1, 2]
Interfaces
1
176
176
176
176
<class 'sage.interfaces.gap.GapElement'>
[2, 4; 11, 1]
Curve Fitting
3D Plotting
Sequences of Integers
Searching Sloane's online database...
40 The prime numbers.
41 a(n) = number of partitions of n (the partition numbers).