Eduardo Piza

Binary Dissimilarities and Clustering

We revisit partitioning criteria for binary observations and extend their analysis to general dissimilarities, weighted observations, and categorical attributes. Seven aggregation criteria are examined with consistent pair-counting conventions and explicit treatment of singleton...

Almost Congruent Triangles: Geometry, Arithmetic, and Generalizations

We characterize pairs of noncongruent triangles having the same three angle measures and twoequal, noncorresponding side lengths, and study their primitive integer parametrizations, finite chains,and asymptotic counting laws. The golden ratio governs the admissible geometric rang...

Beta-Logistic Weil Kernels, Spectral Localization, and Signed Short-Interval Reductions

We study beta-logistic test kernels for the Weil explicit formula, focusing on uniform localization, signed arithmetic errors, and their relationship to zeros of the Riemann zeta function. We distinguish classical positivity and one-sided Laplace principles from kernel-specific c...