No, that is studid! Aleins never excisted there is just people paid to say that they have real footage of aleins! Also, there is absolutly no proof that they excist!
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NO for Integers NO for Real Numbers proof 1 * any integer is not bigger than that integer nor is 0 * any integer. proof for Real Numbers is easier any real < 1 * any real > 0 is not larger than the second Real for example .5 * 1 = .5 is less than 1 or .5 * 2 = 1 less than 2 or .5 * = 1 less than 2 or -1 *3 = -3 less than 3 so all fractions times a positive Real is less than that positive Real All negative numbers times a positive Real is less than that positive Real and 0 or 1 times all positive Reals is also less than that positive Real NO NO NO is the answer
The reflexive property of equality states that any number is equal to itself. This property has no proof, as it is the fundamental building-block of all other proofs.
Let a be any term. Then, the number that is multiplied itself is expressed as: an where a is any real value, and n is any real integer.
No. The sequence (n*sin(n)) is not properly divergent. To be properly divergent it must either "tend to" +inf or -inf. We say that (xn) tends to +inf if for every real number a there exists a natural number N such that if n>=N, then xn>a. It is clear that no such N exists for all real numbers because n*sin(n) oscillates (because of the sin(n)). Therefore (n*sin(n)) is not properly divergent. This is not a rigorous proof but the definition of proper divergence is precise and can be used for any proof dealing with proper divergence.
....25 cents just like any other post-1965 non-proof quarter. State quarters are not rare or valuable unless they are proof or have some error.