Informatics1-2018/HW7
A MathWikiből
(Változatok közti eltérés)
(Új oldal, tartalma: „= Sage = == Derivatives == '''2 points''' Define <math>f(x)=x^3 e^{-x^2}</math> and plot <math>f, f', \ldots f^{(5)}(x)</math> on the interval <math>[-2, 2]</math>. U…”) |
a (→Collatz) |
||
15. sor: | 15. sor: | ||
</math> | </math> | ||
− | For example <math> 53 \ | + | For example <math> 53 \rightarrow 160 \rightarrow 5 \rightarrow 16 \rightarrow 1 </math> |
== Pythagoras == | == Pythagoras == |
A lap jelenlegi, 2018. december 8., 01:18-kori változata
Tartalomjegyzék |
Sage
Derivatives
2 points Define and plot on the interval [ − 2,2]. Use list comprehension for calculating the derivatives and use sum() to add plots into a single picture.
Collatz
2 points Define a function similar to Collatz:
- If n is odd, let g(n) = 3n + 1
- otherwise divide n by the maximum power of 2 which divides n
For example
Pythagoras
2 points Find all the Pythagorean triples up to 1000. You need where j2 + k2 = i2 and all integers. You cannot list the same triple twice.
Pythagoras 2
2 points Find all the Pythagorean triples up to 100000. Mind that three for up to 100000 would take days, so you need to generate the triples with a formula, see https://en.wikipedia.org/wiki/Pythagorean_triple#Generating_a_triple
Deadline
2018.12.13 Thursday 23:59
Download the solution notebook in a .sws format and attach that.