Ethan Bolker
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 12m answered Proportional Distribution 2h reviewed Approve Checking if “continuous” when $x$ is 1 and reaches 1 2h comment Proving the set of subsequences of a sequence are uncountable @DavidC.Ullrich OK. It's a long time since I did any formal real analysis so I didn't remember that's the standard definition. 4h comment Proving the set of subsequences of a sequence are uncountable @DavidC.Ullrich Perhaps. I would argue that it's most common and most useful to define a subsequence using the sequence of its positions, not the sequence of its values. 1d revised Solving inequality with a recursive formula without its closed form? fixed typo in title 1d revised How can I adduce the mathematical model in my master thesis? fixed typo in title 1d comment How much proof is needed in such paper (Maths related)? True. But this proof depends on a definition of the natural logarithm that gets you to its derivative without involving exponentiation. That's possible if you define the natural logarithm as the integral of $1/x$ (as in your proofwiki reference) but (to my mind) that's elegant but not natural. 1d reviewed Approve Roots of a perturbed equation 1d revised How much proof is needed in such paper (Maths related)? fixed mathematics 1d answered How much proof is needed in such paper (Maths related)? 1d reviewed Approve Fourier series for discontinuous function 1d comment How to solve $2^x < x^2$ There is no trick here. I suggest that you start by drawing the two graphs on the same set of axes. That might suggest an argument. 1d comment proving some identities about $xy=0$ Please ask one question at a time, and show what you have tried. 2d revised Positive Expectancy with Random Chance fixed typo Apr 26 comment Positive Expectancy with Random Chance $(1/52)^{52}$ is not the "number of times you win", it's the probability that you pick the Ace of hearts every time. What you care about is picking the Ace at least once. The $0.64$ is $1-0.36$. Apr 26 revised Positive Expectancy with Random Chance added 135 characters in body Apr 26 answered Positive Expectancy with Random Chance Apr 26 comment Set of linear transformations being a vector space I assume that somewhere in your course you have a definition of a vector space. Find that definition. It will have a list of conditions. Check that these definitions of addition and scalar multiplication satisfy those conditions, so make the set into a vector space. There is no formal or general way to do this - each case requires its own arguments to show that the conditions are satisfied. Apr 26 revised Inner product of continuous functions fixed typo in title Apr 26 revised Probability with n dice fixed typo in title