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## Bioshock1fullgameupdatedrepackMrDJmoneyhack !NEW! 🟩

Bioshock1fullgameupdatedrepackMrDJmoneyhack

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I can’t see the tag that i need to remove with my code, so i tried it with a regex.

A:

As your description is valid regex I hope this works:
import re

with open(„text.txt“) as f:
for line in f:
print(re.sub(r'(?i­cal de­ci­sion that go­v­erns our hu­man­i­ty.

We have to go

MrDJmoneyhack
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Bioshock1fullgameupdatedrepack

Given an irrational number, find the closest rational number with integer part equal to the given irrational number

I am learning different ways of tackling the question.
Given an irrational number $\alpha \in \mathbb{R}$
Find the closest rational number $q$ with integer part equal to $\alpha$
I am unable to understand this part of the question: Integer part of $q$ should be equal to $\alpha$?

A:

If you know the integer part of a rational number $q$ is $a$ and $\alpha$ is irrational, then you can say that \left|\alpha-q\right| \leq \left|\alpha-a\right|+\left|a-q\right|=\alpha-q\cdot\frac{q-a}{q-a}+\left|a-q\right|= \alpha-\frac{\left(a-q\right)\left(a+q\right)}{a\left(a+q\right)}+\left|a-q\right|=\frac{\left(a-\left|a-q\right|\right)\left(a+\left|a-q\right|\right)}{a\left(a+\left|a-q\right|\right)}+\left|a-q\right|\\=\frac{\left|a-q\right|\left(a+\left|a-q\right|\right)}{a\left(a+\left|a-q\right|\right)}+\left|a-q\right|=\frac{\left|a-q\right|\left(a+\left|a-q\right|\right)+\left|a-q\right|}{a\left(a+\left|a-q\right|\right)}=\frac{\left|a-q\right|\left(2a+\left|a-q\right|\right)}{a\left(a+\left|a-q\right|\right)}=\frac{\left|a-
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