An Analysis and Enumeration of the Blockchain and Future Implications

The blockchain is a relatively new technology that has grown in interest and potential research since its inception. Blockchain technology is dominated by cryptocurrency in terms of usage. Research conducted in the past few years, however, reveals blockchain has the potential to revolutionize several different industries. The blockchain consists of three major technologies: a peer-to-peer network, a distributed database, and asymmetrically encrypted transactions. The peer-to-peer network enables a decentralized, consensus-based network structure where various nodes contribute to the overall network performance. A distributed database adds additional security and immutability to the network. The process of cryptographically securing individual transactions forms a core service of the blockchain and enables semi-anonymous user network presence

Realizability of the normal form for the triple-zero nilpotency in a class of delayed nonlinear oscillators

The effects of delayed feedback terms on nonlinear oscillators has been extensively studied, and have important applications in many areas of science and engineering. We study a particular class of second-order delay-differential equations near a point of triple-zero nilpotent bifurcation. Using center manifold and normal form reduction, we show that the three-dimensional nonlinear normal form for the triple-zero bifurcation can be fully realized at any given order for appropriate choices of nonlinearities in the original delay-differential equation.Comment: arXiv admin note: text overlap with arXiv:math/050539

Levin Visits Anna: The Iconology of Harlotry

Reader response to Anna Karenina has ranged widely over the years, with some inclined to condemn Tolstoy\u27s heroine categorically as a manipulating female and an immoral adulteress. while others have preferred to see her as a pathetic victim of her society\u27s hypocritical moral code and a noble sacrifice to her own passionate capacity for love.\u27 Whatever our final judgment of her may turn out to be, there can be little argument that Anna Karenina has indeed fallen to a pitifully low moral, spiritual and emotional state by the time she decides to commit suicide near the end of Tolstoy\u27s novel. Addicted to narcotics. psychologically unstable. and pathologically jealous, she has by now become insanely suspicious of her lover Vronsky\u27s every movement. And as her last carriage ride through Moscow makes abundantly clear, Anna is now bitterly cynical, if noc downright nihilistic, about the human condition in general. By smoking cigarettes, taking drugs. practicing birth control and refusing co breastfeed her child, she hardly qualifies. in any event, as the Tolstoyan epitome of feminine virtue or moral goodness

The Karamazov Murder Trial: Dostoevsky\u27s Rejoinder to Compassionate Acquittals

Gary Rosenshield has argued that the miscarriage of justice Dostoevsky depicts in the final book of The Brothers Karamazov, where an innocent man is wrongly convicted in a court of law for a crime he did not commit, may be read as the novelists attempt to dramatize in a work of fiction the strong misgivings about the legal reforms of 1864 that he had expressed in his Diary of a Writer during the mid-1870s. More specifically, Rosenshield argues that the Karamazov trial constitutes Dostoevsky’s novelistic reworking of his own journalistic commentary on two particular jury trials, those of Stanislav Kronenberg and Ekaterina Kornilova, both of which illustrated how Western law was, to Dostoevsky’s mind, standing in the way of Russian justice. My article extends this hypothesis by arguing that the Karamazov trial may also be read as a novelistic reworking of yet another legal case on which Dostoevsky had earlier provided journalistic commentary: the case of Nastasya Kairova, a jealous young actress who was acquitted of premeditated attempted murder in the violent stabbing attack upon her lover’s wife. At her trial, Kairova’s attorney claimed that the defendant was not morally responsible for her actions. He blamed the crime instead on her environment and on the fit of passion [аффект] she suffered at the time, which rendered her temporarily insane. My article argues that the guilty verdict in the Karamazov trial may be read as Dostoevsky’s attempt in a work of fiction to reverse the egregious miscarriage of justice that had been perpetrated in the Kairova case and to send a very different message to his contemporaries about crimes of passion, moral culpability, and compassionate acquittals