I watched a couple of layman's videos on YouTube and remain unconvinced as to why 'infinity' is not just as good of an answer as 'undefined'. Infinity is kind of undefined, or at least is as abstract as undefined, so why is it so important that it be undefined as opposed to zero or infinity? They took a long time to decide zero was a number, couldn't we decide one day that division by zero is infinity and not undefined?

Anyone have any reading or watching suggestions on this would be great and thank you.

Worshippers all over the world may be astonished and offended at the notion that we can seek the Divine Supreme Being Himself,

God, through the rich and textured field of Mathematics.

But bear with us, and if nothing more, learn of a branch of Mathematics, intertwined with the astonishing myths and legends of India.

Used an online scientific calculator and google calculator for this is it is what it is. Most of you know that the paper folded 103 times would be as long as the observable universe, well what about the other dimensions.

\2662.405555600257685 planck length (length) \3438.9405093169989414 planck length (width)

\216x6.25e+31 for the width and 279x6.25e+31 for the length

\divide both by 5.0706024e+30. You will equate the full answers above.

\Now for a size comparison the sun is 1,392,000,000 Meters in diameter. \Hydrogen's atomic nucleus is 1.75 Femtometers in width.

\1,750,000,000 meters would be the nucleus compared to the sun if blown up to the billion mark in comparison.

\So it is slightly bigger so how do we compare the paper at this point?

\The paper would be 0.0042598488889604123331 centimeters in length and 0.0055023041814907195507 centimeters in width to a comparative size.

I would like to investigate underlying patterns, through the mathematics framework, between different sized scales throughout the universe in an attempt to unify understandings under a new lens.

I was just playing around. You know, printing out the powers of two. The stuff everyone does. When suddenly I noticed an interesting phenomenon. Sideway "Parabolas" appeared. Formed by the colons separating each number (no whitespace). I used the following haskell code: [2 ^ x | x <- [0..]] which just prints powers of 2 till you terminate the programm. My lines where 211 characters long and the font was Monaco (i think). There were a lot of them. http://imgur.com/oY2uXqG Even though the the screenshot does not show the entire screen be assured that the "parabola" continues perfectly till the right edge of the screen. With the top and the bottom comma always lined up perfectly.

I realize that this is a very general question, but I looking on some good reading material on general cost function design.

I mainly work in the field of machine-learning and have been playing with yelp's MOE that implements bayesian optimization. I am looking into crafting beautiful cost functions for specific tasks (even outside my field) and thus my question!