Abstract Using the 1.32 $$\hbox {pb}^{-1}$$ pb - 1 statistics collected at $$J/\psi $$ J / ψ peak with KEDR detector VEPP-4M $$e^{+}e^{-\, }$$ e +</...

It is well known that three-dimensional Euclidean space cannot be tiled by regular tetrahedra. But how well can we do? In this work, we give several constructions that may answer the various senses of this question. In so doing, we provide some solutions to packing, tiling, and covering problems of tetrahedra. Our results suggest that the regular tetrahedron may not be able to pack as densely a...

We formally study iterated block ciphers that alternate between two sequences of independent and identically distributed (i.i.d.) rounds. It is demonstrated that, in some cases the effect of alternating increases security, while in other cases the effect may strictly decrease security relative to the corresponding product of one of its component sequences. As this would appear to contradict con...

Bell’s theorem implies that any completion of quantum mechanics which uses hidden variables (that is, preexisting values all observables) must be nonlocal in the Einstein sense. This customarily indicates knowledge would permit superluminal communication. Such signaling, akin to existence a preferred reference frame, is expected. However, here we provide protocol allows an observer with communi...

Abstract In strong-field physics experiments with ultraintense lasers, a single-shot cross-correlator (SSCC) is essential for fast optimization of the pulse contrast and meaningful comparison theory each shot. To simultaneously characterize an ultrashort its long pedestal, SSCC device must have both high resolution large temporal window. However, window in all kinds measurement contradict other...