Scientists at the University of Miami Rosenstiel School of Marine & Atmospheric Science have discovered a technique to track urban atmospheric plumes thanks to a unique isotopic signature found in vehicle emissions. Read more on Science Daily.
Nanoscale Secret to Stronger Alloys: Scientists Find Nanoparticle Size Is Readily Controlled to Make Stronger Aluminum Alloys
Long before they knew they were doing it -- as long ago as the Wright Brother's first airplane engine -- metallurgists were incorporating nanoparticles in aluminum to make a strong, hard, heat-resistant alloy. The process is called solid-state precipitation, in which, after the melt has been quickly cooled, atoms of alloying metals migrate through a solid matrix and gather themselves in dispersed particles measured in billionths of a meter, only a few-score atoms wide. Read more on Science Daily.
Pioneers Get Close-Up View of Miracle Material Graphene
Physicists who won last year's Nobel Prize for isolating graphene, the world's thinnest material, said Sunday they had devised ways of studying the novel substance at the fundamental level of the electron. Read more on Discovery News.
Conformal Mapping
In mathematics, a conformal map is a function which preserves angles. In the most common cases the function is between domains in the complex plane.
f: U->V
is called conformal (or angle-preserving) at u0 if it preserves oriented angles between curves through u0 with respect to their orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size.
The conformal property may be described in terms of the Jacobian derivative matrix of a coordinate transformation. If the Jacobian matrix of the transformation is everywhere a scalar times a rotation matrix, then the transformation is conformal.
Conformal maps can be defined between domains in higher dimensional Euclidean spaces, and more generally on a Riemannian or semi-Riemannian manifold.
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