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- Proof of infinite monkey theorem. - Mathematics Stack Exchange
The infinite monkey theorem states that if you have an infinite number of monkeys each hitting keys at random on typewriter keyboards then, with probability 1, one of them will type the complete works of William Shakespeare
- infinity - What is the definition of an infinite sequence . . .
Except for $0$ every element in this sequence has both a next and previous element However, we have an infinite amount of elements between $0$ and $\omega$, which makes it different from a classical infinite sequence So what exactly makes an infinite sequence an infinite sequence? Are the examples I gave even infinite sequences?
- Infinite monkey theorem and numbers - Mathematics Stack Exchange
I had a discussion with a friend about the monkey infinite theorem, the theorem says that a monkey typing randomly on a keyboard will almost surely produce any given books (here let's say the bible
- elementary set theory - What is the definition for an infinite set . . .
However, while Dedekind-infinite implies your notion even without the Axiom of Choice, your definition does not imply Dedekind-infinite if we do not have the Axiom of Choice at hand: your definition is what is called a "weakly Dedekind-infinite set", and it sits somewhere between Dedekind-infinite and finite; that is, if a set is Dedekind
- Given an infinite number of monkeys and an infinite amount of time . . .
I doubt an infinite number of monkeys could even put together a full page full of nonsense but reasonable-length words with punctuation You could ask the same question about spiders Put an infinite number of spiders on typewriters and they won't produce Hamlet either, mostly because most spiders lack the strength to type
- Conditions for infinite solutions - Mathematics Stack Exchange
Isn’t the system required to have atleast a unique solution before having infinite solutions? 2) is it necessary , for such a system to have infinite solutions , that the determinant of the coefficient matrix should always be zero ? Or can we get infinite solutions even if the coefficient matrix is non-singular? Thanks for helping !
- calculus - Infinite Geometric Series Formula Derivation - Mathematics . . .
Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 8 months ago Modified 4 years, 11 months ago
- Does infinite equal infinite? - Mathematics Stack Exchange
All three integrals are divergent and infinite and have the regularized value zero, but two of them are equal but not equal to the third one In other cases of divergent integrals or series, the regularized value and or growth rate (germ at infinity) or behavior at a singularity can differ as well or the differences can compensate for each
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