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Understanding a proof of Diaconescu's theorem |
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All natural numbers are equal. |
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What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) |
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Working out digits of Pi. |
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Is there a fundamental reason that $\int_b^a = -\int_a^b$ |
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What exactly is infinity? |
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Purely “algebraic” proof of Young's Inequality |
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Matrix Determinant |
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Why don't we define “imaginary” numbers for every “impossibility”? |
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Why $\displaystyle f(z)=\frac{az+b}{cz+d}$, $a,b,c,d \in \mathbb C$, is a linear transformation? |
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How to explain that division by $0$ yields infinity to a 2nd grader |
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Notation for repeated application of function |
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Can every proof by contradiction also be shown without contradiction? |
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How to understand why $x^0 = 1$, where $x$ is any real number? |
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Is $dy/dx$ not a ratio? |
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Intuition why the volume and surface area of the unit sphere eventually decrease |
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Is $0^0=1$ postulate independent of all other axioms of complex numbers? |
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Minimal set of trig identities to define all the trig functions |
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Function that sends $1,2,3,4$ to $0,1,1,0$ respectively |
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Is there another representation for $x^x$ |