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Let K be a planar convex body with C^1 boundary. Consider a random line G intersecting K. In [1] Pleijel discovered an identity expressing the integral functional of the length of the chord G ∩ K in t...
Researchers at the University of California San Diego have identified new Alzheimer's disease mechanisms in neurons. The scientists have discovered that changes in the structure of chromatin...
Sometimes scientists make mistakes. A case in point is the chanchita, a South American non-native freshwater fish that has been swimming in Florida's waters for at least two decades, all the while mis...
Note to physicists and materials scientists: You'd better reevaluate your work if you study iridium-based materials -- members of the platinum family -- when they are ultra-thin.Iridium "loses its ide...
Since the first Homo sapiens emerged in Africa 300,000 years ago, grasslands have sustained humans and thousands of other species. Today, those grasslands are shifting. Global change -- including clim...
The IEEE International Conference on Identity, Security and Behavior Analysis (ISBA 2017) is a unique conference series initiated by the IEEE Biometrics Council and its third edition will be held in N...
Researchers have used CRISPR—a revolutionary new genetic engineering technique—to convert cells isolated from mouse connective tissue directly into neuronal cells.In 2006, Shinya Yamanaka, a professor...
In this paper we establish a surprising new identity for Parseval frames in a Hilbert space. Several variations of this result are given, including an extension to general frames. Finally, we discuss ...
In light of such an inherent difficulty, any meaningful notion of function privacy must be based on the minimal assumption that, from the adversary's point of view, identities that correspond to...
CD4 T helper cells control immunity to pathogens and the development of inflammatory disease by acquiring the ability to secrete effector cytokines. Cytokine responsiveness is a critical component of ...
Recently Andrews proposed a problem of finding a combinatorial proof of an identity on the q-little Jacobi polynomials. We give a classification of certain triples of partitions and find bijections ba...
It is shown that in every multiplicative right Hom-alternative algebra, a Hom-type generalization of the Mikheev identity holds. It is then inferred that a multiplicative right Hom-alternative algebra...
In this article, we review the Weyl correspondence of bigraded spherical harmonics and use it to extend the Hecke-Bochner identities for the spectral projections $f\times\varphi_k^{n-1}$ for function ...
In this work we prove that a poset-block space admits a MacWilliams-type identity if and only if the poset is hierarchical and at any level of the poset, all the blocks have the same dimension. When t...

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