Leinster–Willerton magnitude conjecture for convex bodies
Let X⊂RnX\subset\mathbb{R}^nX⊂Rn be compact and convex, and let MX(R):=mag(X,R⋅d)\mathcal{M}_X(R):=\operatorname{mag}(X,R\cdot\mathrm{d})MX(R):=mag(X,R⋅d) for R>0R>0R>0. For 0≤k≤n0\leq k\leq n0≤k≤n, let Vk(X)V_k(X)Vk(X) denote the intrins…