Tim Seguine
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 Apr15 awarded Popular Question Dec8 awarded Caucus Dec4 revised Discrete Math Probability and Random Variable review question OP changed question to a completely different one after getting an answer. reverting. Dec4 comment Interesting Question on Ants @jwg If you think so. I only posted that because I came to the "right" conclusion after reading the question, then the accepted answer in their entirety 3 times. If you consider that clarity, then we have most likely have different definitions of clarity. It seems to me that this was the source of some of the initial confusion people were having with the accepted answer. Dec4 suggested approved edit on Discrete Math Probability and Random Variable review question Dec4 comment Discrete Math Probability and Random Variable review question Don't change the question to a completely different one after getting an answer. That is not how this site works. Dec4 comment Matlab wrong cube root I think "wrong" is the wrong word to use. Without context there is no objective way to select the "best" result for a many valued function. Nov25 comment Interesting Question on Ants Is it a one dimensional stick, or a topological cylinder? "Random directions" seems like confusing wording if it is one-dimensional. Nov23 comment How to find $f^{−1}([9,0])$ and $f([1,4])$ for $f(x)=x-6\sqrt{x}$? Your title is different than your question. Nov22 comment Why does my professor say that writing $\int \frac 1x \mathrm{d}x = \ln|x| + C$ is wrong? @Winther I disagree. Nov22 comment Why does my professor say that writing $\int \frac 1x \mathrm{d}x = \ln|x| + C$ is wrong? @Winther probably the posted answer from Ivo is what the teacher meant. Nov20 comment Prove this map is continuous It might be easier to do a direct epsilon delta proof of the original map if you get rid of the trig functions. (hint: polar coordinates to cartesian). As long as you can also prove (or are allowed to use a theorem) that the coordinate transformation is continuous and bijective on the annulus. Nov20 comment Prove this map is continuous Well what you are doing is a direct sum of two continuous maps (assuming you prove they are). There is nothing non-continuous there, if that is what you are asking. Nov20 comment Prove this map is continuous What definition are you using for continuity? For the last thing you said: If you prove your new map is continuous then the original map is continuous because multiplication is continuous. Nov20 comment What properties are true for “almost all real numbers”? @user2357112 thanks for the link. Nov20 comment Do Cantor's Theorem and the Schroder-Bernstein Theorem Contradict? @The it is only defined for finite subsets because not every subset of N has that specific form. Specifically infinite subsets of N don't have that form. Your prime number multiplication construction that follows relies on k being finite, so it couldn't be modified to allow infinite subsets. Nov5 comment Is it possible to write a sum as an integral to solve it? @Amad27 $\int_\mathbb{N}\frac{d \mu}{(3n-1)(3n+2)}$ where $\mu$ is the counting measure on $\mathbb{N}$. It doesn't give you anything you didn't already have though. I didn't really mean it seriously although it is true. Nov5 comment solving 3 simultaneous equaitons So you are trying to get us to help you cheat on a test? Nov5 comment Is it possible to write a sum as an integral to solve it? Sums are just Lebesgue integrals with respect to a discrete measure. Done. Sep21 comment Does There Exist an Explicit Formula Describing Every Possible Sequence of Numbers? Just FYI: There is no unique way to know which sequence is meant by listing the first numbers in it. Even if there is an "obvious pattern" to them. You can always use polynomial interpolation to find the "next" number. Then you can use a different method that would be equally as valid to say that a different number is the "next" one.