A novel composite architecture consisting of a periodic arrangement of closely-spaced spheres of a stiff material embedded in a soft matrix is proposed for extremely high damping and shock absorption capacity. Efficacy of this architecture is demonstrated by compression loading a composite, where multiple steel balls were stacked upon each other in a polydimethylsiloxane (PDMS) matrix, at a low...

Plombage thoracoplasty using different synthetic materials was a popular procedure in the management of tuberculosis (TB) in the 1940-50's, being then abandoned. We report an 81-year-old patient who underwent a plombage thoracoplasty with balls at the age of 35; at the moment of examination in our unit, the patient had no chest complaints and no complications related to the surgical procedure w...

Is compassionate killing really psychologically impossible, as the Abhidhamma claims? Previously I discussed a Vinaya case that seemed to show the contrary. Reviewing my conclusions in the light of commentarial literature, Rupert Gethin disagreed and restated the Abhidhamma position that killing can never be motivated by compassion. This paper supports my original conclusions and argues further...

A packing of congruent balls of unit radius in three-dimensional Euclidean space is determined by and is identified with the set Λ of centers of the balls. A packing Λ determines a region called the Voronoi cell around each ball. The Voronoi cell Ω(Λ, v) around a ball at v ∈ Λ consists of points of space that are closer to v than to any other w ∈ Λ. The Voronoi cell is a convex polyhedron conta...

We prove that Banach spaces ℓ1 ⊕2 R and X ⊕∞ Y , with strictly convex have plastic unit balls (we call a metric space if every non-expansive bijection from this onto itself is an isometry).

A consistency criteria is given for a certain class of finite positive measures on the surfaces of the finite dimensional unit balls in a real separable Hilbert space. It is proved, through a Kolmogorov type existence theorem, that the class induces a unique positive measure on the surface of the unit ball in the Hilbert space. As an application, this will naturally accomplish the work of Kante...

Supersymmetric extensions of the Standard Model predict the existence of Q-balls, some of which can be entirely stable. Affleck–Dine baryogenesis can result in a copious production of stable baryonic Q-balls, which can presently exist as a form of dark matter. 1 Q-balls from Supersymmetry In a class of theories with interacting scalar fields φ that carry some conserved global charge, the ground...

We asymptotically estimate the variance for distribution of closed geodesics in small random balls or annuli on modular surface $\Gamma\backslash\mathbb{H}$. A probabilistic model which are modeled using geodesic segments is proposed, and we rigorously analyze this mixing flow This leads to a conjecture asymptotic behavior variance, unlike previously explored cases not equal expected value. pro...

Negative association for a family of random variables (Xi) means that for any coordinate–wise increasing functions f, g we have Ef(Xi1 , . . . , Xik )g(Xj1 , . . . , Xjl ) ≤ Ef(Xi1 , . . . , Xik )Eg(Xj1 , . . . , Xjl ) for any disjoint sets of indices (im), (jn). It is a way to indicate the negative correlation in a family of random variables. It was first introduced in 1980s in statistics, and...