CoCalc -- 609.sagews

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'Jednoduche operace'

'Jednoduche operace'

3.5 + 2.4 #scitani desetinnych cisel

5.90000000000000

7/2*12/5 #nasobeni zlomku

42/5

3.5 - 12/5 #odcitani dvou ruznych typu

1.10000000000000

20//7 #celociselne deleni

2

20%7 #zbytek po celosilnem deleni

6

4.5^(sqrt(65)) #umocneni na 2. odmocninu z 65

184657.797180659

g = 25 #prirazeni 25 do objektu "g"
g

25

g == 14 #porovnani objektu "g" s hodnotou 14

False

sqrt(g) <= 5 #dalsi priklad porovnavani

True

'Prace s promennymi'

'Prace s promennymi'

solve(z^2 + 4*z - 2, z) #objekt "z" neni zadefinovan jako promenna, je treba tak udelat

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "/home/sage/sagenb/sage_notebook/worksheets/nelson23/12/code/18.py", line 7, in <module>
    exec compile(ur'solve(z**_sage_const_2  + _sage_const_4 *z - _sage_const_2 , z) #objekt "z" neni zadefinovan jako promenna, je treba tak udelat' + '\n', '', 'single')
  File "/home/sage/sage_install/sage/local/lib/python2.5/site-packages/Jinja-1.2-py2.5-linux-x86_64.egg/", line 1, in <module>
    
NameError: name 'z' is not defined

z = var('z') #zadefinovani "z" jako promenne
solve(z^2 + 4*z - 2, z) #reseni jednoduche rovnice

[z == -sqrt(6) - 2, z == sqrt(6) - 2]

a = 2; b = a; c = b; d = c; e = d; f = e 
g = 3
h = g - f #ukazka vyhodnocovani do hloubky
h

1

'Seznamy'

'Seznamy'

s = [1.18, 2.35, 56.7, 0.73, 0.52] #definice seznamu vyctem
s

[1.18000000000000, 2.35000000000000, 56.7000000000000, 0.730000000000000, 0.520000000000000]

[-1..5] #definice seznamu pomoci jeho rozsahu

[-1, 0, 1, 2, 3, 4, 5]

t = 5
p = [t, 6, 3 + 4]
p #prvky seznamu se vyhodnocuji

[5, 6, 7]

s[1] #odkaz na prvni prvek seznamu

2.35000000000000

min(s); max(s) #nalezeni minimalniho, resp. maximalniho prvku seznamu

0.520000000000000
56.7000000000000

len(p) #zjisteni poctu prvku seznamu

3

'Moznosti vystupu'

'Moznosti vystupu'

objekt = sqrt(cos(x)+sin(x**3))-56*exp(2*x**3+x**2)/(sqrt(2)+8/9)
objekt #dale si ukazeme ruzne moznosti zobrazeni objektu

sqrt(sin(x^3) + cos(x)) - 504*e^(2*x^3 + x^2)/(9*sqrt(2) + 8)

show(objekt)

<html><div class="math">\sqrt{\sin\left(x^{3}\right) + \cos\left(x\right)} - 504 \, \frac{e^{2 \, x^{3} + x^{2

{(9 \, \sqrt{2} + 8)}} }}}

print(objekt)

sqrt(sin(x^3) + cos(x)) - 504*e^(2*x^3 + x^2)/(9*sqrt(2) + 8)

latex(objekt)

\sqrt{\sin\left(x^{3}\right) + \cos\left(x\right)} - 504 \, \frac{e^{2 \, x^{3} + x^{2

{(9 \, \sqrt{2} + 8)}} }}}

numerical_approx(pi**2, digits = 5) #numericka aproximace na 5 mist

9.8696

numerical_approx(sqrt(pi)*e, 80) #na 80 bitu

3.5449077018110320545963