Numerical Validation of the v-Calculus : Theorem-by-Theorem Verification with Reproducible Python Code

This document provides a systematic numerical validation of all main theorems of the v-calculus developed by Brindel (2026). Each theoretical result is accompanied by a Python implementation, the recorded output, and an error analysis. All tests achieve precision at the limit of double-precision floating-point arithmetic (~10^-16). The results confirm the exactness of the v-calculus framework and demonstrate that it effectively abolishes the curse of dimensionality.