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How to show $\dim_\mathcal{H} f(F) \leq \dim_\mathcal{H} F$ for any set $F \subset \mathbb{R}$ and $f$ continuously differentiable? |
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Questions regarding the complex logarithm and complex integration |
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For linear $A: V \to V$ strictly positive definite, does there exist linear $B: V \to V$ strictly positive definite such that $e^B = A$? |
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Is there a vector space that cannot be an inner product space? |
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How can I make estimates on large powers and logarithms such as $e^{10}$? |
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For $A \in \mathbb{R}^{3 \times 3}$, find $P, Q \in \mathbb{R}^{3 \times 3}$ such that $A = P-Q$, where $P^2 = P$, $Q^2 = Q$ and $PQ = 0 = QP$ |
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Questions regarding the quadratic form $q: \bigwedge^2 \mathbb{R}^4 \to \bigwedge^4 \mathbb{R}^4, x \mapsto x \wedge x$ |
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Are there diagonalisable endomorphisms which are not unitarily diagonalisable? |
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How do I do “calculations” with tensors? |
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Given a number $11 \leqslant n\leqslant 99$, how to write a couple of numbers which total to $n$ |
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What does the notation “$\Omega \subset \mathbb{R}^n$ is $C^1$” mean? |
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A program to draw simple geometry (points, lines, dotted lines etc.) |
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Lack of understanding of the proof of the existence of an irreducible polynomial of any degree $n \geq 2$ in $\mathbb{Z}_p[x]$ |
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Why is this map diagonalisable? |
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How to show $\langle a, b \; | \; aba = bab \rangle \cong \langle x,y \; | \; x^3=y^2 \rangle$? |
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Deducing a property for any function $f$ using the wave equation |
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Questions regarding the projective space |
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The Tuesday Birthday Problem - why does the probability change when the father specifies the birthday of a son? |
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Proof of a lower bound $\lambda(n)$ of the smallest number of multiplications $\ell(n)$ needed to compute $a^n$ for an integer $a$ |
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How to show that rotations around the same point are commutative? |
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