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Bivariate Gončarov polynomials are a basis of the solutions of the bivariate Gončarov Interpolation Problem in numerical analysis. A sequence of bivariate Gončarov polynomials is determined by a set of nodes Z={(xi,j,yi,j)∈R2} and is an affine sequence if Z is an affine transformation of the lattice grid N2, i.e., (xi,j,yi,j)T=A(i,j)T+(c1,c2)T for some 2×2 matrix A and constants c1,c2. In this paper...
The one-lie Rényi–Ulam liar game is a two-player perfect information zero-sum game, lasting q rounds, on the set [n]≔{1,…,n}. In each round Paul chooses a subset A⊆[n] and Carole either assigns one lie to each element of A or to each element of [n]∖A. Paul wins the original (resp. pathological) game if after q rounds there is at most one (resp. at least one) element with one or fewer lies. We exhibit...
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