Ciro Santilli @cirosantilli 35

This is perhaps the most popular version of Great doubt in 21st century China

Fuller quote as seen e.g. at: www.hrfjw.com/fjrw/hcrw/ywfs/324750.htmltranslation;k.sina.cn/article_5668613235_151e02c7300100wutq.html attributes it to modern day Chinese "Master Chongci" (崇慈法师).

These people don't fuck around.

After learning this term, Ciro Santilli finally understood that his actual major was MR, and not bullshit like applied mathematics or control theory.

For humans specifically: en.wikipedia.org/wiki/List_of_systems_of_the_human_body

For specific species:

Ciro Santilli tried to add this example to Wikipedia, but it was reverted, so here we are, see also: Section "Deletionism on Wikipedia".

This is a good first example of a field of a finite field of non-prime order, this one is a prime power order instead.

$4=2^2$, so one way to represent the elements of the field will be the to use the 4 polynomials of degree 1 over GF(2):

Note that we refer in this definition to anther field, but that is fine, because we only refer to fields of prime order such as GF(2), because we are dealing with prime powers only. And we have already defined fields of prime order easily previously with modular arithmetic.

Over GF(2), there is only one irreducible polynomial of degree 2:

Addition is defined element-wise with modular arithmetic modulo 2 as defined over GF(2), e.g.:

Multiplication is done modulo $X^2+X+1$, which ensures that the result is also of degree 1.

For example first we do a regular multiplication:

Without modulo, that would not be one of the elements of the field anymore due to the $1X^2$!

So we take the modulo, we note that:and by the definition of modulo:which is the final result of the multiplication.

TODO show how taking a reducible polynomial for modulo fails. Presumably it is for a similar reason to why things fail for the prime case.

TODO understand more intuitively how that determines if a reaction happens or not.

At least from the formula we see that:

A prototypical example of reaction that is exothermic but does not happen at any temperature is combustion.