The ‘10 Martini’ Proof Connects Quantum Mechanics With Infinitely Intricate Mathematical Structures

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, uses number ...

Part-time work isn’t just for minimum wage. Here’s how to be a fractional exec.

These long-term-but-part-time leaders, often corporate veterans who left the grind because of layoff or burnout, can help ...

The Most Vexing Variable in the Search for E.T.

This is the last of three blog posts associated with this week’s episode of Cosmos: A Spacetime Odyssey, which addresses life in the universe. Read the first and second here. Someday, in the not too ...
Scientific Research Publishing

Diening, L., Harjulehto, P., Hasto, P., et al. (2011) Lebesgue and Sobolev Spaces with Variable Exponents. Springer.

ABSTRACT: In this paper, by applying the extension of Rubio de Francia’s extrapolation theorem in Lebesgue spaces with variable exponent, the boundedness of the θ-type Calderón-Zygmund operator T θ is ...
Nature

Changes in Cell-Cycle Kinetics Responsible for Limiting Somatic Growth in Mice

In mammals, the rate of somatic growth is rapid in early postnatal life but then slows with age, approaching zero as the animal approaches adult body size. To investigate the underlying changes in ...
Scientific Research Publishing

Tao, S. and Li, L. (2016) Boundedness of Marcinkiewicz Integrals and Commutators on Morrey Spaces with Variable Exponents. Chinese Journal of Contemporary Mathematics, 37, 53-68.

ABSTRACT: In this paper, by applying the extension of Rubio de Francia’s extrapolation theorem in Lebesgue spaces with variable exponent, the boundedness of the θ-type Calderón-Zygmund operator T θ is ...
SciELO

Introduction to bosonization

This is a pedagogical introduction to the general technique of bosonization of one-dimensional systems starting from scratch and assuming very little besides basic quantum mechanics and second ...