[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 554
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The Guinness Book seems to have a mother who gave birth at 87. But I could be wrong.
I'm six years younger than my aunt. Grandfather fought a long war.
We are not talking about men, it is easier for them to create something even at 70 than for women.
About women, of course, it's more pleasant.
http://rutube.ru/tracks/4698854.html?&bmstart=1000
I haven't looked at such scams for a long time.
There are thousands of schemes and even demonstrations of the "working" perpetuum mobile online. Someone needs it, but not me.
I haven't watched such divorces for a long time.
Tesla used to dabble in this sort of thing, even making a car.
// Immediately pardon the off-topic, as the particular case of application of solutions (if solutions are found) is still trade-related.
// (: but on the other hand, this is an incentive, right? :)
// If you really help, I'll tell you why I need it... ;) I assure you - it may come in handy...
Task:
Given: a set of M orthogonal vectors in N-dimensional space (M<N) // in the limiting case M==1
Required: build a generator of vectors (!) orthogonal to a given set. I need an idea how to quickly generate random vectors which satisfy the condition (! ) .
Explanation-reminder: For N-dimension space, dimension of solution space is equal to (N-M), i.e. with initial set in number (M=N-1) of vectors we have one unique solution (by the way, how to get it in one move? There's an article in wiki, but I haven't worked it out yet. Who can explain algorithm on fingers - I'll give him a candy(again - why I need it all)). With smaller initial set - there is infinite number of such vectors, i.e. "there are variants". These are the variants that need to be generated.