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
how to prove uncountable infinite pigeonhole principle? 1 Can it be proven using the pigeonhole principle that if set A is an uncountable family of finite sets, it contains an uncountable subfamily all of whose elements have cardinality n? The idea is borrowed from here What is the Infinite Pigeonhole Principle?
I have learned that 1 0 is infinity, why isnt it minus infinity? An infinite number? Kind of, because I can keep going around infinitely However, I never actually give away that sweet This is why people say that 1 0 "tends to" infinity - we can't really use infinity as a number, we can only imagine what we are getting closer to as we move in the direction of infinity
Circle whose radius is infinite - Mathematics Stack Exchange I have the intuition that a circle whose radius is infinite is a straight line Nonetheless, I don’t feel that what I’ve just stated is really scientific as it has some vagueness and lacks precisi
Raising a matrix to the infinite power Infinite powers of matrices using the concept of generalized inverses An introduction to interval matrices and a brief idea of why studying infinite powers for such matrices can help capture infinite powers for large classes of matrices
Representation theory of infinite groups? - Mathematics Stack Exchange There are few interesting directions in which unitary (including infinite-dimensional) representation theory of infinite discrete groups is developed: Property T: Isolation phenomenon of the trivial representation among all irreducible unitary representations
Why are box topology and product topology different on infinite . . . 57 Why are box topology and product topology different on infinite products of topological spaces ? I'm reading Munkres's topology He mentioned that fact but I can't see why it's true that they are different on infinite products So , Can any one please tell me why aren't they the same on infinite products of topological spaces ?
How do you prove that a group specified by a presentation is infinite . . . 17 Grigory has already answered your particular question However, I wanted to point out that your question "How do you prove that a group specified by a presentation is infinite?" has no good answer in general Indeed, in general the question of whether a group presentation defines the trivial group is undecidable