Hautdesert

less info
reputation
213
bio website everybodyhatesluigi.com location Westminster, CO age 93 member for 2 years, 1 month seen Jun 6 at 10:00 profile views 163

I like math.

149 Actions

 Jun7 awarded Popular Question Jun6 asked Does mathematical induction assume that non-negative integers are infinite? Jun1 awarded Popular Question May5 awarded Informed May1 awarded Yearling Apr16 awarded Nice Question Nov12 accepted Space filling paths Nov12 comment Space filling pathsYes that was my motivation: Cantor's diagonal argument and its implication that there are as many points in a line as in a plane or any other subset of $R^n$. I did not know that onto transformations from $R$ to $R^2$ where possible; I was under the impression that it was impossible, which is why I considered my transformation paradoxical, but if what you claim is true then there really is no paradox. I find it even more surprising that bijective mappings from $R$ to $R^2$ exist. Nov12 asked Space filling paths May1 awarded Yearling Apr30 accepted Squaring an arbitrary summation? Apr30 comment Squaring an arbitrary summation?That makes perfect sense. You have earned a green check-mark. Apr30 comment Squaring an arbitrary summation?@BrianM.Scott: Is the reasoning in my previous comment not a generalization of the product of two arbitrary polynomials? I thought we could just set $a_i=c_ix^i$ and derive the Cauchy product. Apr30 comment Squaring an arbitrary summation?Say we have $\big(\sum_{i=0}^{n}a_i\big)\big(\sum_{j=0}^{n}b_j\big)$ $=a_0\big(\sum_{j=0}^{n}\big)+a_1\big(\sum_{j=0}^{n}\big)+...+a_n\big(\sum_{j=0}‌​^{n}\big)$ which equals $\sum_{i=0}^{n}\sum_{j=0}^{n}a_ib_j$. Why do we shift the index of the second summation? Apr30 asked Squaring an arbitrary summation? Apr18 comment Power series solution for a DEWell, I really do not understand what I am missing then. What am I supposed to do with that -1? I've been trying to get this for a while now but nothing comes to mind. Apr18 comment Power series solution for a DEYes, I forgot to mention that but wouldn't we just group the constants together? So we write $c_1-1=c_2$? Apr18 asked Power series solution for a DE Apr9 asked A logic puzzle involving a balance. Apr2 accepted Converting an integral from Cartesian to Polar coordinates.