In this paper we develop an analog of the notion of the con- jugacy graph of  nite groups for the  nite semigroups by considering the Green relations of a  nite semigroup. More precisely, by de ning the new graphs $Gamma_{L}(S)$, $Gamma_{H}(S)$, $Gamma_{J}(S)$ and $Gamma_{D}(S)$ (we name them the Green graphs) related to the Green relations L R J H and D of a  nite semigroup S , we  first atte...

Non-fungible tokens (NFT) have been defined as digital assets that encode items such art, collectables, and in-game goods. They are often stored in smart contracts on a blockchain exchanged online, frequently using Bitcoin. As NFT became increasingly popular the last few years, decentralized financial (DeFi) also started receiving growing attention instruments differ from NFTs cryptocurrencies....

In this paper we show how to compute, via semideenite programming, ellipsoids of conndence for linear equations with structured (unknown-but-bounded) perturbations. Our results are exact in the \unstructured" perturbations case, enabling us to recover in particular the classical case when the perturbation is additive. The approach can be used for example in the identii-cation of structured, dyn...

Intracorneal ring segments (ICRS) have been used in patients with keratoconus for slowing keratoconic progression and delaying keratoplasty.1,2 However, we experienced anterior optical coherence tomography (OCT) image distortion of the iris in patients with ICRS insertion by chance. Some femtosecond laser cataract surgery systems use OCT images of the cornea, anterior lens capsule, and nucleus ...

Decentralized finance is financial services offered on a public blockchain over the internet. This paper reviews decentralized (DeFi) research and development around world. The findings of literature review are that offers many benefits such as broadening inclusion; encouraging permission-less innovation; eliminating need for intermediaries; ensuring immutability transactions; censorship resist...

A positive de…nite symmetric matrix quali…es as a quantum mechanical covariance matrix if and only if + 12 i~ 0 where is the standard symplectic matrix. This well-known condition is a strong version of the uncertainty principle, which can be reinterpreted in terms of the topological notion of symplectic capacity, closely related to Gromov’s non-squeezing theorem. We show that a recent re…nement...

Objective : to develop a criminological concept of DeFi-crime and measures deter it. Methods dialectical materialism the general scientific methods cognition based on it, used in Russian criminology. Results as type digital crime was developed, i.e. new specific theory (DeFi-criminology) within structure criminology proposed. The information factors influencing state, trends were determined, fo...

Metal tellurides attract recent attention because of their promising applications as effective catalysts for the oxygen evolution reaction (OER). However, inappropriate adsorption energy between OER intermediates and telluride leads to an unsatisfactory electrocatalytic intrinsic activity. Herein, we adopt a unique in-situ cathodic electrochemical activation process facilitate surface self-reco...

For m by n partial totally positive matrices with exactly one unspeci ed entry the set of positions for that entry that guarantee completability to a totally positive matrix are characterized They are the positions i j i j and the positions i j i j m n In each case the set of completing entries is an open and in nite in case i j or i m j n interval In the process some new structural results abo...