GeoDom

miércoles, 28 de enero de 2026

Carta abierta al Presidente Abinader: Un método dominicano para el Cálculo Integral

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Santo Domingo, 28 de Enero del 2026 Señor Luis Rodolfo Abinader Corona Presidente de la República Dominicana C.c.: Directores y redactores d...
lunes, 15 de diciembre de 2025

Weierstrass as a Special Case of the USM Framework

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"The world's sneakiest substitution."  — Michael Spivak The classical Weierstrass substitution for integrals of the form \[\i...
miércoles, 10 de diciembre de 2025

MIT Integration Bee 2023 - Finals - Problem 3

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The problem : Solution .  We assume $x > 0$. $$\begin{aligned}I &= \int \sqrt{x^2+1+\sqrt{x^4+x^2+1}} \, dx \\ &= \int \frac{t^2-...
sábado, 29 de noviembre de 2025

Calculus: A Little Story of Unification

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One man’s trick may be another man’s method, and there may be more to an apparent trick than first meets the eye.   — Todd Trimble In my som...
lunes, 24 de noviembre de 2025

Benchmarking USM Transform #3 vs. Mathematica’s Integrate - Part 2

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In these tables we benchmark the Unified Substitution Method (USM) change of variables that this arXiv draft  (version 1) calls Transformati...
martes, 19 de agosto de 2025

A generalization of the law of cotangents

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Introduction (classical law of cotangents) In trigonometry, the law of cotangents is a relationship among the side lengths of a triangle an...
lunes, 26 de mayo de 2025

USM Transform #3 vs. Mathematica Integrate - Part 1

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Warning : The 19-example table is an eye-catching demo, but it is not large or diverse enough to qualify as a “representative” benchmark in ...
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Hi, here you can find solved and open geometry problems in English and Spanish (and other stuffs).

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Emmanuel José García
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