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thanks
I know about those theorems, I also know that infinite sets can have same cardinality as their proper subsets,I wanted to know if |P| = |N| then what is the bijection between them?
if P is the set of primes then is |P| = |N| true?
Ebenezerson I think u are posting wrong question
hi ebnezerson
welcome to the forum
I want a proof that b for every positive b and n there is a real number x such that b^x=n
sorry forgot to say positive
prove that if r is real,then log r is real.
my old textbook says gcd(a/b,c/d) = gcd(a,c)/lcm(b,d)
i think it's brother
Ah ok, but parallely, if I said :
I'm not sure about it, but could we say that the common factor of these two is 7 ??? Or I'm totally wrong ?
hi al-allo first number is divisible by 1/7 and the second one by 7
yeah
thanks.
I can't see any way to solve this
prove,a+bi=c+di implies a=b and c=d
hi bit-eater
welcome to the forum
Sin A=a/c and sin B=b/c then a=b ,so in two right triangles with angle A and B ,oposite side is a=b,hypottenuse is c,other side must be equal.thus two triangles are congruent,A=B
Okay, but how many of them apply to you
only 3
I have to do all that to become a mathematician! It's easier to think that i am a mathematician.
Sorry,i mixed up locus and envelope.
Not sure,but won't the locus be a segment of a parabola?
I'm assuming u mean abs(z) by IzI in which case z=a+bi.Re(z)=a and abs(z)=square root of a^2+b^2
now,a^2<a^2+b^2 [equal in case of b=0] taking positive square root |a|<abs(z),by the inequality law of absoloute value,-abs(z)<a<abs(z)
Lol...:D
Hi bronxsystem
welcome to the forum
Turn the summation to this
then divide it by you can then prove it.Okay,what about tautology?and contradiction in proofs is only used in the form -p and (not p)