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Nonlinear objectives, nonlinear constraints, non-convex objective, non-convex feasible region.

15 votes

Is the matrix $\left({2m\choose 2j-i}\right)_{i,j=1}^{2m-1}$ nonsingular?

Let $A_n(x,\lambda)$ be the $n\times n$ matrix $$\left[\binom{x}{2j-i+\lambda}\right]_{i,j=1}^n.$$ Let's "generalize to trivialize". Sometimes, generalizations offer more elbow room to maneuver, such …
T. Amdeberhan's user avatar