/sci/ - Science & Math

>>10618855
It simply alters the geometry of space-time, thus changing what constitutes a geodesic for a given object in its vicinity. A black hole is essentially something that creates a steep valley for things to roll into

>>10376049
I once saved a 10/10 one about Calabi-Yau manifolds but somehow deleted it :( have some Cirno instead

>>9756160
not sure if bait, but if so, I'll bite: pretty much all you need to know stems from the recursive definition of sum:

[eqn]\sum^{n}_{k=m} a_k = a_n + \sum^{n-1}_{k=m} a_k\text{, if n>m}[/eqn]
[eqn]\sum^{n}_{k=m} a_k = a_n\text{, if n=m}[/eqn]
[eqn]\sum^{n}_{k=m} a_k = 0\text{, if n<m}[/eqn]

...the fact that this operation is linear:

[eqn]\sum^{n}_{k=m} (a_k + b_k) = \sum^{n}_{k=m} a_k + \sum^{n}_{k=m} b_k[/eqn]
[eqn]\sum^{n}_{k=m} (c\cdot a_k) = c \cdot \sum^{n}_{k=m} a_k\text{, with} c \in \mathbb{C}[/eqn]

...and the fact you can change the index by any arbitrary integer [math]p[/math], as follows:

[eqn]\sum^{n}_{k=m} a_k = \sum^{n+p}_{k=m+p} a_{k-p}[/eqn]

if you're still lost there's tons of books and online stuff that covers this, check out chapter 16 of Lang's Basic Mathematics: http://gen.lib.rus.ec/search.php?req=lang+basic+mathematics

>>9576509
http://gen.lib.rus.ec/search.php?req=no+starch+press+manga