The 10 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are written in an arbitrary order. Prove that one can always remove 6 digits such that the remaining 4 digits are ordered monotonically. Help...
It has not yet been proven whether any arbitrary sequence of digits appears somewhere in the decimal expansion of pi.
The statement is not true. Disprove by counter-example: 3 is an integer and 5 is an integer, their product is 15 which is odd.
To prove a ring is commutative, one must show that for any two elements of the ring their product does not depend on the order in which you multiply them. For example, if p and q are any two elements of your ring then p*q must equal q*p in order for the ring to be commutative. Note that not every ring is commutative, in some rings p*q does not equal q*p for arbitrary q and p (for example, the ring of 2x2 matrices).
civil court
be testable
He must prove loyalty and mainly prove himself in battle
Giulio Fanti has written: 'Cento prove sulla Sindone'
Yes. You can get this type of order against anyone as long as you can prove the order is needed.
Prove it using deduction._______First you prove, that every permutation is a product of non-intercepting cycles, which are a prduct of transpsitions
The prosecution must prove beyond a reasonable doubt that the defendant committed the crime they are accused of in order to secure a guilty verdict.
Francesco Ricci has written: 'Delle prove' -- subject(s): Evidence (Law)
Prove that you did not violate your probation.