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seen Feb 10 at 2:34

Sep
22
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.
Sep
22
revised How to divide currency?
added 1 characters in body
Sep
22
answered How to divide currency?
Sep
22
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.
Sep
22
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.
Sep
22
revised Prove a relation of arguments of 3 complex numbers with equal modulus
Fixed LaTeX
Sep
22
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.
Sep
22
suggested suggested edit on Prove a relation of arguments of 3 complex numbers with equal modulus
Sep
22
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.
Sep
22
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
Sep
22
answered Show that for vectors $\bf u$ and $\bf v$ in $ℝ^3$, $\bf u \times v = (-v) \times u$
Sep
22
revised Basic algebra. Please help.
added latex
Sep
22
answered Basic algebra. Please help.
Sep
22
suggested suggested edit on Basic algebra. Please help.
Sep
22
revised Applications of logic in sciences
Added update
Sep
22
revised Applications of logic in sciences
added passage
Sep
22
answered Applications of logic in sciences
Sep
22
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.
Sep
22
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?
Sep
22
revised Is the product of elementary matrices an elementary matrix?
added latex