11th grade-all tasks

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Kernel: Python 3 (Anaconda)

SymPy

In [5]:

from IPython.display import Image
Image('http://www.sympy.org/static/images/logo.png')

Out[5]:

<IPython.core.display.Image object>

In [6]:

import sympy as sp
import math

In [7]:

3+math.sqrt(3)

Out[7]:

4.732050807568877

In [4]:

expr=3+sp.sqrt(3)
expr

Out[4]:

sqrt(3) + 3

sp.sqrt(3)+3

In [6]:

sp.init_printing(use_latex='mathjax')

In [7]:

expr

Out[7]:

\sqrt{3} + 3

In [8]:

expr=sp.sqrt(8)
expr

Out[8]:

2 \sqrt{2}

symbols() & Symbols()

In [9]:

x,y=sp.symbols("x y")

In [10]:

ex1=(x+y)**3
ex1

Out[10]:

\left(x + y\right)^{3}

In [11]:

a=sp.Symbol("a",positive=True)

In [12]:

a>0

Out[12]:

\mathrm{True}

In [13]:

m=sp.Symbol('m',integer=True)

In [14]:

n=sp.Symbol('n',integer=True,positive=True)

In [15]:

b=m/n
b

Out[15]:

\frac{m}{n}

In [16]:

b.is_rational

Out[16]:

True

In [17]:

b.is_Integer

Out[17]:

False

In [19]:

sp.Rational(1,7)

Out[19]:

\frac{1}{7}

In [20]:

sp.Rational(5,2)+sp.Rational(3,7)

Out[20]:

\frac{41}{14}

In [0]:

In [22]:

x=sp.Rational(5,2)+sp.Rational(3,7)
sp.N(x)

Out[22]:

2.92857142857143

In [23]:

sp.N(sp.pi,100)

Out[23]:

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068

In [24]:

sp.pi.evalf(100)

Out[24]:

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068

In [0]: