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Random phase approximation (RPA) was proposed by Bohm and Pines in four seminal papers during 1951-1953 to describe the correlation of fermions, namely the correction to the Hartree-Fock theory. While...
On a smooth compact manifold of dimensions three and four with totally non-umbilic boundary,imposing non-negativity assumptions on curvatures of the background metric, we establish that there exists a...
We study mean curvature flows (MCFs) coming out of cones. As cones are singular at the origin, the evolution is generally not unique. A special case of such flows is known as the self-expanders. We wi...
We will survey some recent existence theory of closed constant mean curvature hypersurfaces using the min-max method. We hope to discuss some old and new open problems on this topic as well.
Mean curvature flow is the fastest way to decrease the area of surfaces. It is the model in many disciplines such as material science, fluid mechanism, and computer graphics. The translators are a spe...
Between the time you read the Wi-Fi password off of a café’s menu board and the time you can get back to your laptop to enter it, you have to hold it in mind. If you’ve ever wondered how your brain do...
Biologists believe they are one step closer to a long-held goal of making a cheap, widely available plant source for energy and fuel. One of the next big weapons in the battle against climate change m...
Experience shows that most researchers and developers tend to treat plain-domains (those that are not prefixed with “www” sub-domains, e.g. “example.com”) as synonyms for their equivalent www-domains ...
The recent progress in key derivation (Barak at al. CRYPTO'11, Dodis Yu TCC'2013) introduced the concept of constrained profiles for attackers advantage, recognizing that security bounds can be signif...
Since 1983, the federal government has honored more than 4,700 teachers for their contributions in the classroom through the Presidential Awards for Excellence in Mathematics and Science Teaching (PAE...
The last time Earth experienced both ice sheets and carbon dioxide levels within the range predicted for this century was a period of major sea level rise, melting ice sheets and upheaval of tropical ...
The task of determining dietary requirements for vitamin D intake is one of the key unresolved issues in vitamin- and mineral-related nutrition. The complexities of issues, including determining intak...
The advancement of satellite altimeter technology has generated many evolutions to oceanographic and geophysical studies. A multi-mission satellite altimeter consists with TOPEX, Jason-1 and Jason-2, ...

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