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 Mar15 comment Does the square or the circle have the greater perimeter? A surprisingly hard problem for high schoolers @Mitch - The statement $3 + 5 = 4 + 4$ definitely isn't sufficient on its own, else I could make up something like $3.2 + 5 = 4.1 + 4.1$. We need to combine this constraint with the right triangle constraint. After getting those two constraints, I think OP is suggesting you might guess that 3/4/5 meets the constraints. (I personally wouldn't have jumped to this, though perhaps it's easier to guess if you just learned about Pythagorean triples.) Jan16 awarded Notable Question Mar29 awarded Nice Answer Mar28 awarded Yearling Mar28 answered Can a piece of A4 paper be folded so that it's thick enough to reach the moon? Jan22 awarded Popular Question Sep12 awarded Critic Sep12 comment which is bigger $I_{1}=\int_{0}^{\frac{\pi}{2}}\cos{(\sin{x})}dx,I_{2}=\int_{0}^{\frac{\pi}{2}}\sin{(\sin{x})}dx$ I don't think this adds much above a direct calculator computation, unless there's something about J_0 and H_0 that leads to a cleaner non-calculator solution. Mar12 revised Congruent Modulo $n$: definition Markdown italics Mar12 suggested approved edit on Congruent Modulo $n$: definition Mar4 awarded Scholar Mar4 accepted What is dimensional consistency, mathematically? Mar3 revised What is dimensional consistency, mathematically? added 50 characters in body Mar3 comment What is dimensional consistency, mathematically? Thanks for the great link! I haven't finished, but that seems to be what I'm looking for. Mar3 awarded Student Mar3 asked What is dimensional consistency, mathematically? Jan14 comment approximating a discrete function with a continuous one Right, as long as $f$ is sufficiently well-behaved. If $f$ looks like a smooth interpolation of the discrete $f$, you should be fine. You might run into an off-by-one error where, for example, $f(0.1)$ is the maximum with $h = 0.1$, but $f(0.151)$ is the continuous maximum. Then you might round $0.151$ to $0.2$ and incorrectly conclude that $f(0.2)$ is the discrete maximum. Jan14 awarded Teacher Jan14 awarded Editor Jan14 revised approximating a discrete function with a continuous one added differentiability; added 27 characters in body