Hash collision, favourite topics ...

Here are a few of my favourite answers on SME concerning Hash Collision and Birthday Paradox topics:

• Random number generation and collision check
• What's the probability of generating an existing account id?

A property of the Prime Counting function

While addressing this question on MSE the following inequality was revealed, concerning the Prime Counting function ...

For $\forall x,y$ such that $60184\le x< y$ we have: $$\frac{x}{\pi(x)} < \frac{y}{\pi(y)} + 1$$

De fapt ...

"De la istoria cu pomul,
S-a mai cumințit oare omul?"
Intreabă odată Domnul,
Pe slugă-Sa, Satan.

Acela, surprins de întrebare,
Cu fața plină de mirare,
Răspunde într-o răsuflare:
"De fapt ..."

The final piece of the puzzle

The sweat on your face,
A sign of hard work,
Is finally getting colder.

The fever you felt,
It was a mark
Of the upcoming game over.

It took a while
To see the truth,
You finally see the impalpable.

I mean that part,
Which drove you mad,
The final piece of the puzzle.

Friday deployments

It's Friday, end of the week
And you want to impress your users?
Please, don't be such a prick!
Deployments on Fridays is for losers!!!

The verse of the innevitable ...

The chapter is closed and as it turns,
The chapter has many pages.
What was recorded, the things you deserve,
Will stay in the book for ages.

The words in those pages, they will reveal
The happy, the struggle, the challenge.
The way it was handled, the power of will
Sometimes, the lack of courage.

The letters, in opening, start like a breeze,
Then the gusts get stronger and stronger.
The ending is like the calm of the seas
When the hurricane is over.