need maths expert now urgent

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SHOW that the rational numbers are listable, hence the set of them is countable.

A complex number that is the root of a polynomial with integer coefficients is called "algebraic."

SHOW that the set of algebraic numbers is countable.

SHOW that nonalgebraic numbers exist...not every complex number equals to root of a polynomial with

integer coefficients.

HOMEWORK: Suppose |S| = m and |T| = n. How many injective functions are there from S to T? Can you find a formula or

an algorithm for computing this...with justificiation?

How about surjective?

Bijective?

Find injections from P(N) to the reals, and from the reals to P(N).

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Biología Ingeniería eléctrica Matemáticas Física Psicología

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vtatarenko

Hi it looks that it's discrete math issues. I am mathematician and can solve and explain you the solution. Is solution on papes enougn or you also need verbal explanation?

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