Rod Carvalho
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 Sep22 answered Boy and Girl paradox Sep22 comment How to divide currency? @AustinMohr: You're totally right, of course. The cost function should thus incorporate a term that penalizes large sets of bills. Something like $|\mathcal{B}|^2$ would work, I suppose. Or, alternatively, one should consider only sets of bills whose cardinality is, at most, $10$, for example. Printing a different bill for each integer would be too expensive. Sep22 revised How to divide currency? added 1 characters in body Sep22 answered How to divide currency? Sep22 comment How to divide currency? The word "optimal" only makes sense if there is a cost function to be minimized, or an utility function to be maximized. You gave us neither cost nor utility. Sep22 comment Show that for vectors $\bf u$ and $\bf v$ in $ℝ^3$, $\bf u \times v = (-v) \times u$ @celtschk: If you make a typo when implementing the "trivial component-wise formula", you do not notice it. If you write said formula in terms of traces of matrices, you notice the typo because the $Q_i$ matrices won't be skew-symmetric anymore. Conceptually speaking, my approach is much more beautiful than the ugly ones based on determinants, since it comes with "error-correction" capabilities. Moreover, matrix multiplication and the trace function are more efficient and easier to implement than stupid determinants. Sep22 revised Prove a relation of arguments of 3 complex numbers with equal modulus Fixed LaTeX Sep22 comment Show that for vectors $\bf u$ and $\bf v$ in $ℝ^3$, $\bf u \times v = (-v) \times u$ @celtschk: Because 1) I want to. 2) it makes it easier to implement in MATLAB for example. 3) I hate determinants. Sep22 suggested approved edit on Prove a relation of arguments of 3 complex numbers with equal modulus Sep22 comment Show that for vectors $\bf u$ and $\bf v$ in $ℝ^3$, $\bf u \times v = (-v) \times u$ @celtschk: Yeah, but I wanted to write the cross product in terms of the trace. Sep22 revised Show that for vectors $\bf u$ and $\bf v$ in $ℝ^3$, $\bf u \times v = (-v) \times u$ added 116 characters in body Sep22 answered Show that for vectors $\bf u$ and $\bf v$ in $ℝ^3$, $\bf u \times v = (-v) \times u$ Sep22 revised Basic algebra. Please help. added latex Sep22 answered Basic algebra. Please help. Sep22 suggested approved edit on Basic algebra. Please help. Sep22 revised Applications of logic in sciences Added update Sep22 revised Applications of logic in sciences added passage Sep22 answered Applications of logic in sciences Sep22 comment Can we make such matlab code so that every time we run the program it will return the same randomly generated matrices? @srijan: Then create a random matrix, store it, and every time you need the same "random" matrix use the stored one. What you want, apparently, is not a random matrix, but an arbitrary matrix for testing purposes. Sep22 comment Can we make such matlab code so that every time we run the program it will return the same randomly generated matrices? @srijan: Same matrix, or same matrices?