Método Tornado como marco gráfico exploratorio para distribuciones discretas Con numero primos

This manuscript presents the Tornado Method as a computational and graphical framework for visual inspection, exploratory data analysis, and anomaly detection in discrete frequency distributions. The methodology formalizes rules for transforming numerical datasets through digit sums and digital roots, representing exact counts for each target through ellipses whose areas are strictly proportional to the observed frequencies. As a numerical reference and case study, prime number sequences of up to one million are analyzed, documenting exact arithmetic restrictions and distribution convergence. Furthermore, a statistical control scheme is integrated through the total variation distance ($D_{TV}$) and Monte Carlo simulations to calibrate tolerances, evaluate sensitivity to data perturbations, establish negative controls, and define the identifiability limits of the method.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-03
DOI
https://doi.org/10.5281/zenodo.23114174
Primary Topic
Multidisciplinary Science and Engineering Research
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Método Tornado como marco gráfico exploratorio para distribuciones discretas Con numero primos

WILMAR MARIN MORENO
Zenodo (CERN European Organization for Nuclear Research)
Multidisciplinary Science and Engineering Research
preprint

Método Tornado como marco gráfico exploratorio para distribuciones discretas Con numero primos

WILMAR MARIN MORENO
preprint en

Abstract

This manuscript presents the Tornado Method as a computational and graphical framework for visual inspection, exploratory data analysis, and anomaly detection in discrete frequency distributions. The methodology formalizes rules for transforming numerical datasets through digit sums and digital roots, representing exact counts for each target through ellipses whose areas are strictly proportional to the observed frequencies. As a numerical reference and case study, prime number sequences of up to one million are analyzed, documenting exact arithmetic restrictions and distribution convergence. Furthermore, a statistical control scheme is integrated through the total variation distance ($D_{TV}$) and Monte Carlo simulations to calibrate tolerances, evaluate sensitivity to data perturbations, establish negative controls, and define the identifiability limits of the method.

Zenodo (CERN European Organization for Nuclear Research)
Multidisciplinary Science and Engineering Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.