1. Fundamentos y Clasificación de Desigualdades Matemáticas.
Esta sección explora la vasta taxonomía de desigualdades fundamentales que sustentan diversas ramas de las matemáticas y la física, desde la teoría de la probabilidad hasta la geometría y el análisis funcional.
- Miquel saucedo, sergey tikhonov heisenbergs inequality in lp.
- In probability theory, and the cauchy-scharwz inequality for inner product spaces.
- Theorem of the day october 29, 2025 jensens inequality source theorem of the day robin whitty pdf notes.
- The most celebrated of these inequalities are arguably the poincaré inequality which has a sort of l² flavour and the logarithmic sobolev inequality which has a sort of entropic flavour.
- The brunnminkowski theorem states that for nonempty compact set in rn, the volume of their minkowski sum is at least the sum of the nth roots of their volumes. It implies many inequalities in convex geometry including the isoperimetric inequality.
2. Aplicaciones Transdisciplinarias de las Desigualdades.
Las desigualdades no son solo construcciones teóricas, sino herramientas esenciales con aplicaciones prácticas en campos tan diversos como la física cuántica, la economía, el procesamiento de señales y el aprendizaje automático.
- Harnessing different math fields, researchers provide proof for powerful borell-brascamp-lieb mathematical inequality which has applications in physics, economics, computer science and beyond.
- For applications often all you need are e-values and villes inequality.
- Fano was a researcherthe inequality relates to signal processing, setting a limit on signal energy bandwidth.
- Ising machines solve higher-order binary optimization with inequality constraints for wireless communications systems read more.
- Bell inequality violations arent real now requires the universe to, essentially, have been set up adversarially against our experiments.
3. Investigación Avanzada y Desafíos Computacionales.
La investigación actual se centra en la generalización, estabilidad y refinamiento de las desigualdades, así como en su integración en algoritmos de optimización y la evaluación de la capacidad de la inteligencia artificial para manejarlas.
- New arxiv paper title polyak-lojasiewicz inequality is essentially no more general than strong convexity for c2 functions authors aziz ben nejma read more.
- A new mathematical proof using nonlinear partial differential equations offers fresh insights into the borell-brascamp-lieb inequality, expanding understanding of how combinations and blending are modeled.
- Ineqmath introduces a dataset for inequality proofs, revealing that even top ai systems achieve less than 10 accuracy in rigorous evaluations.
- The biggest hole to fill now was the same - to that poincare inequality holds for these gibbs measures of these neural net losses at any size and data - when appended this constant regularization.
- New arxiv paper title new classes of non-monotone variational inequality problems solvable via proximal gradient on smooth gap functions authors lei zhao, daoli zhu, shuzhong zhang read more.
4. La Desigualdad en Contextos Sociales y Éticos.
Más allá de las formulaciones matemáticas, el concepto de desigualdad se extiende a discusiones sobre métricas sociales, sesgos algorítmicos y su impacto en la sociedad, así como reflexiones sobre su inevitabilidad o maleabilidad.
- Inequality measurement for bounded variables permanyer, inaki seth, suman yalonetzky, gaston.
- My latest article is free and available at please consider helping me address algorithmic inequality by liking and sharing with friends and family if actually do find the article interesting and informative.
- Real time inequality is a website maintained by the department of economics, university of california, berkeley.
- This inequality isnt inevitable.
- You could use this same argument to make the claim that the function is convex. If you relieve the torture of 10 out of 10100 shrimp you are increasing shrimp inequality.