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- What does s. t. mean? - Mathematics Stack Exchange
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- Mathematics Stack Exchange
Q A for people studying math at any level and professionals in related fields
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- St. Petersburg Paradox - Mathematics Stack Exchange
The problem with the St Petersburg paradox is similar to that with my makeshift example: In that one, you would be comfortable with playing this game if you could borrow money indefinitely, so that even if you lost everything, you could use loans to keep playing the game until you get to own the whole world In the St Petersburgs paradox, the situation is more complicated, given that you may
- (k+1)th, (k+1)st, k-th+1, or k+1? - Mathematics Stack Exchange
From the Handbook of Writing for the Mathematical Sciences section 5 5 p 63: Here are examples of how to describe the position of a term in a sequence relative to a variable k: kth, (k+1)st, (k+2)nd, (k+3)rd, (k+4)th, … (zeroth, first, second, third, fourth, …) Generally, to describe the term in position k±i for a constant i, you append to (k±i) the ending of the ordinal number for
- Symbol for “such that” (not in set) - Mathematics Stack Exchange
Nobody should be using $\ni$ to mean "such that"; it is used in texts everywhere to mean $\in$ but in the reverse direction (that's why the LaTeX code is "\ni" after all) I would argue ":" is the superior notation for set-building since (in most handwriting) it is the least likely to be confused with anything else (I, l, 1), hence being the most readable
- $ST$ and $TS$ have the same eigenvalues. - Mathematics Stack Exchange
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- Invertiblity of ST and TS for linear maps - Mathematics Stack Exchange
Could somebody explain why for any given linear maps S and T over a finite dimensional vector space V, ST is invertible if and only if TS is? Why is it so important that V is finite dimensional for
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