mathwonk's latest activity
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Mmathwonk replied to the thread Studying Correlating IQ and STEM performance.In some PhD programs, one earns a masters by progressing far enough to pass the prelim exams. A long time ago, I walked into the UWa...
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Mmathwonk replied to the thread Studying Correlating IQ and STEM performance.my 2 cents: To my knowledge, IQ tests aim to measure in part: vocabulary, analogies, memory, numerical problem solving, spatial skills...
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Mmathwonk reacted to jbergman's post in the thread Undergrad Why the initial choice matters in the Monty Hall problem with
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I want to elaborate on my previous post. Imagine the game is changed. You have three doors, one, with a car behind it. Now you can... -
Mmathwonk reacted to wrobel's post in the thread Undergrad Is infinity a necessary concept? with
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We say that ##f(x)\to C## as ##x\to \infty## if for any positive number ##\varepsilon## there exists ##B## such that the inequality... -
Mmathwonk replied to the thread Undergrad Is infinity a necessary concept?.Perhaps in the domain of the universal quantifier "for any positive epsilon"? Naively, perhaps the tension is between the necessity of...
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Mmathwonk replied to the thread Other Technical books that have been read cover to cover.I don't recall how far into the book I got before I quit doing it, but when I was first hired as a college calc teacher, using Thomas...
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Mmathwonk replied to the thread Undergrad Is infinity a necessary concept?.......Or to put it another way, after all these years, Achilles has apparently still not quite caught up to the tortoise.
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Mmathwonk replied to the thread Undergrad Is infinity a necessary concept?.This discussion seems to continue (here and elsewhere) without limit. However, at least in my lifetime, I suspect it will never be...
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Mmathwonk replied to the thread Undergrad Meaning of division by non-whole real numbers.It is even easier to construct products and quotients of segments using similar triangles, i.e. triangles constructed within the same...
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Mmathwonk replied to the thread Undergrad Meaning of division by non-whole real numbers.Interesting question. I haven't thought much about it, but if I understand, I think the point here is that, if one is given a unit...
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Mmathwonk reacted to Roberto Pavani's post in the thread Undergrad Meaning of division by non-whole real numbers with
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As a humble engineer, I think there's both a counting bias and a decimal bias here. We are taught to think of numbers mainly as counts... -
Mmathwonk replied to the thread Undergrad Meaning of division by non-whole real numbers.@Roberto Pavani: As a geometer, I share your point of view, as did Euclid. I.e. real numbers are essentially lengths on a line, (after...
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Mmathwonk replied to the thread Basic skills that kids are lacking.I should have mentioned I was the original referee for Riemann's paper. Unfortunately I rejected it for lack of detail, but they...
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Mmathwonk replied to the thread Basic skills that kids are lacking.Is it possible there are people today who think kids no longer need to know Euclidean geometry!? Or the Riemann - Roch theorem? Perhaps...
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MWhile increasingly rare, there are still situations where they still need to know how to write a check. Analogue clocks are still...