Jørgen Fogh
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 Jan19 comment mathematical difference between column vectors and row vectors Why would you want to not distinguish the two in your program? It seems to me that it would be extra work to have to convert the result to a vector, every time a computation returns a column matrix. In addition, the distinction can make it easier to pinpoint mistakes, like type checking in programming languages. Jan19 comment mathematical difference between column vectors and row vectors As a technical note, this only occurs because you rely on convention to determine which product to compute. If you had specified the operation explicitly, this issue could not occur. Jan18 comment What do mathematicians mean by “equipped” It is worth noting that your formal definition is not actually equivalent to "... a vector space equipped with a inner product." You also specify completeness. Dec18 awarded Commentator Dec18 comment What are some applications of elementary linear algebra outside of math? Wouldn't such scheduling problems be examples of linear programming, rather than linear algebra? Dec18 comment What are some applications of elementary linear algebra outside of math? Matrix algebra is a standard tool used in textbooks about computer graphics, along with quaternions. You only get to use very simple techniques though. I think my knowledge of basic computer graphics actually made it harder for me to understand how general the techniques are. I would expect this to be true for many computer science students (like I was). Math students may not have the same challenge. Jun23 awarded Enthusiast Jun14 comment The role of 'arbitrary' in proofs That is, we are not assuming anything beyond that which we explicitly state. Jun11 comment What is integration by parts, really? Welcome to economics 101. Society's utility from your answer is a function of the demand as well as the quality. ;-) May7 comment Improving concentration and stamina when solving difficult problems. @JackM: I disagree. He is asking about fatigue, not laziness. Fatigue comes from hard work. If he had been lazy, he would not have worn himself out. Apr5 comment Feynman/Einstein/etc and Basic Maths My comment was on the first part of your answer. Yes, some people do in deed perform all basic arithmetic in their heads. Apr2 awarded Critic Apr2 comment Feynman/Einstein/etc and Basic Maths There are a number of competitions in mental arithmetic where people compete at a very high level, using special techniques. A specific mathematician may not know about these techniques but they certainly exist. Mar6 comment Can I use the “Secretary Problem” to find the worst candidate, too? I think I expressed myself incorrectly. What I was trying to convey was that you cannot assume something always works, just because you can't think of a counterexample. Mar4 comment Can I use the “Secretary Problem” to find the worst candidate, too? There is a useful lesson here: When you have an algorithm or a theorem involving an ordering, it usually works for the opposite ordering too (though not always). Oct10 answered integer sequences Oct3 awarded Editor Oct3 revised Frequency on doing exercises in learning Calculus & Linear Algebra & Probability and so on deleted 1 characters in body Oct2 awarded Revival Aug26 awarded Teacher