Ivan Shishkin, The Forest Clearing

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Divergence of 1p\sum \frac{1}{p}Asymptotic links between xnnx_n^n and n(1xn)n\left(1-x_n\right)0.999999=10.999999 \ldots=1A powerful equation, 2Simultaneous triangularization over GLn(Fp)\operatorname{GL}_n\left(\mathbb{F}_p\right)An inequalityExistence of a normA pretty recurrence for the primesNo linear recurrence for the primesEisenstein’s criterionFinite subgroups of GLn(Z)\mathrm{GL}_{n}(\mathbb{Z})The birthday problemAn ODE of arbitrary orderWilson on steroidscos(rπ)Q\cos(r\pi) \in \mathbb{Q}?Examples of singletonsA matrix whose determinant is the product of the 1\ell^1-norms of its columnsA Diophantine equationAn easy additionEvery hyperplane of Mn(C)\mathcal{M}_n(\mathbb{C}) meets an invertible matrixMatrices invertible over Z\mathbb{Z}Rational values of tan(rπ)\tan(r\pi)Lemme de SerreFRPath components of GLn(R)\mathrm{GL}_n(\mathbb{R})Product of three consecutive positive integersInception aux oraux de l’ENS : Permutation de permutationFRA functional equationConvergence of (einθ)nN\left(e^{i n \theta}\right)_{n \in \mathbb{N}}Definitions of the floor functionUniqueness of the limitMy first odd functionsFrom a function series to ln(2)\ln(2)Convexité et connexité par arcsFRMatrices orthogonales à coefficients positifsFRInégalité d’HadamardFRDes exemples du théorème des restes chinois ?FRLegendre formula for the factorialThe missing coinRacines des polynômes de Taylor du sinusFRSomme d’inverse et nombre premierFRHahn-Banach Theorem in finite dimensionLes idéaux de Mn(K)M_{n}(K)FRQuand Autn(G)\text{Aut}^{n}(G) est trivialFRLes sous-groupes finis de SL2(Z)\mathrm{SL}_{2}(\mathbb{Z}) sont de cardinal 1,2,3,41,2,3,4 ou 6.6.FRGroup with all elements of order 2Powers of integer matricesAn equation solvable by radicals ?Degré de l’extension R/Q\mathbb{R}/\mathbb{Q}FRDeterminant of a block matrix = determinant of a 2×2 matrix ?Sequences whose terms are getting closer and closer