the Picard-Lefschetz formula
still no idea what that was about
the Picard-Lefschetz formula
still no idea what that was about
An image doesn't really exist. The object is at A and your looking into the mirror from wherever. Where does point A appear to be?
Pro-tip imagine that you don't know its a mirror and think its a window instead.
Google 'Gaussian Elimination'
Learn python
Xenotransfusion-enhancement
Would it be possible if we transfuse silberback gorrila blood in our bodies (let's say both subjects are highly compatible) to enchance in any way our bodies or mind? (long or short term)
[Memory transference in organ transplant recipients] maybe it could work the same way with blood on a smaller or different level.
Embolism due to blood clotting.
So there is no way to transfer blood (maybe low ammounts over a period of time or if that not works due to our based immune system a well calculated ammount) from a compatible silverback to a human?
>mfw I will never experience at least a glimpse of Grodd greatness
You have to match blood types even with human donors or the results will be fatal. For gorilla's who the fuck knows.
Even if you could you wouldn't absorb special powers. This isn't an anime.
Doing an exercise in a Serg Lang book, and I'm confused, even if it shows the answer I'm unable to tell how he did it.
>Show that if n is a positive integer at most equal to m, then
[eqn] \binom{m}{n}+ \binom{m}{n-1}= \binom{m+1}{n} [/eqn]
The answer is pic related. I get how he got the LCD and +m!n. The other parts of the answer is leaving me frustrated. How did he get (m-n+1) to be on top of the fraction? How in the world did he turn
>m!(m-n+1)+m!n
to
>m!(m+1)
pls help a brainlet out
>How did he get (m-n+1) to be on top of the fraction?
if you want to add fractions you need a common denominator, in this case it's n!(m-n+1)! as he wrote
so
m!/[n!(m-n)!] + m!/[(m-n+1)!(n-1)!]
= m!(m-n+1)/[n!(m-n+1)!] + m!*n/[(m-n+1)!n!]
as for the second part
m!(m-n+1)+m!n
= m![ (m-n+1)+n]
= m![m+1]