grandes-ecoles 2015 QIV.B.2

grandes-ecoles · France · centrale-maths2__psi Proof Computation of a Limit, Value, or Explicit Formula

Let $m \in \mathbb{N}$. We denote by $\mathcal{H}_m$ the vector subspace of harmonic polynomials of degree less than or equal to $m$. Determine the dimension of $\mathcal{H}_m$.

Let $m \in \mathbb{N}$. We denote by $\mathcal{H}_m$ the vector subspace of harmonic polynomials of degree less than or equal to $m$. Determine the dimension of $\mathcal{H}_m$.

Paper Questions

QI.A.1 QI.A.2 QI.B.1 QI.B.2 QI.B.3 QI.C.1 QI.C.2 QII.A QII.B.1 QII.B.2 QII.B.3 QII.C.1 QII.C.2 QII.D.1 QII.D.2 QII.D.3 QII.D.4 QIII.A.1 QIII.A.2 QIII.A.3 QIII.B.1 QIII.B.2 QIII.B.3 QIII.C QIV.A.1 QIV.A.2 QIV.A.3 QIV.A.4 QIV.B.1 QIV.B.2 QIV.B.3 QIV.C.1 QIV.C.2