Many different proposals (e.g., Petri nets, Linda and other tuple-space languages, CHAM, Join calculus) for applying formal methods to distributed systems rely on two fundamental design postulates: (1) states are multisets; and (2) elementary actions can atomically fetch (or release) several state components, thus synchronizing them at the event level. However, they often miss a third feature w...

Neural networks rely on convolutions to aggregate spatial information. However, spatial convolutions are expensive in terms of model size and computation, both of which grow quadratically with respect to kernel size. In this paper, we present a parameter-free, FLOP-free “shift” operation as an alternative to spatial convolutions. We fuse shifts and point-wise convolutions to construct end-to-en...

In a previous publication (l), we reported that when 1 mg of a pure concentrate of anhydrovitamin A2 (4’-ethoxy anhydrovitamin Ai, E:%m at 370 rnp = 2248 in light petroleum ether), and 0.5 mg of a-tocopherol are fed daily to vitamin A-deficient rats, growth is resumed, xerophthalmic lesions are cured, and a new compound named rehydrovitamin A* showing absorption maxima at 330,348, and 365 rnp c...

Let $R$ be a commutative ring with identity. An ideal $I$ of a ring $R$is called an annihilating ideal if there exists $rin Rsetminus {0}$ such that $Ir=(0)$ and an ideal $I$ of$R$ is called an essential ideal if $I$ has non-zero intersectionwith every other non-zero ideal of $R$. Thesum-annihilating essential ideal graph of $R$, denoted by $mathcal{AE}_R$, isa graph whose vertex set is the set...

Mine water geothermal energy could provide sustainable heating, cooling and storage to assist in the decarbonisation of heat achieving Net Zero carbon emissions. However, mined environments are highly complex we currently lack understanding confidently enable a widespread, cost-effective deployment technology. Extensive repeated use subsurface as thermal source/store optimisation operational in...

a positive solution of the problem of the existence of nontrivial pairs of zero-divisors in group rings of free burnside groups of sufficiently large odd periods $n>10^{10}$ obtained previously by s. v. ivanov and r. mikhailov extended to all odd periods $ngeq 665$‎.