METHOD OF REFERENCE SIGNALS CREATING IN NON-DESTRUCTIVE TESTING BASED ON LOW-SPEED IMPACT

The article describes the approach to the formation of a simulation model of information signals, which are typical for objects with different types of defects. The dispersive analysis of the signal spectrum components in the bases of the discrete Hartley transform and the discrete cosine transform is carried out. The analysis of the form of the reconstructed information signal is carried out depending on the number of coefficients of the spectral alignment in Hartley bases and cosine functions. The basis of orthogonal functions of a discrete argument is obtained, which can be used for the spectral transformation of information signals of a flaw detector. A method of simulation of information signals has been developed and experimentally investigated, which allows taking into account the deterministic and random components of the characteristics of real information signals. References 24, figures 13, tables 3.

A note on short memory principle of fractional calculus

In this paper, from the classical short memory principle under Grünwald-Letnikov definition, several novel short memory principles are presented and investigated. On one hand, the classical principle is extended to Riemann-Liouville and Caputo cases. On the other hand, a special kind of principles are formulated by introducing a discrete argument instead of the continuous time, resulting in principles with fixed memory length or fixed memory step. Apart from these, several interesting properties of the proposed principles are revealed profoundly.

Posthuman Rap

Posthuman Rap listens for the ways contemporary rap maps an existence outside the traditional boundaries of what it means to be human. Contemporary humanity is shaped in neoliberal terms, where being human means being viable in a capitalist marketplace that favors whiteness, masculinity, heterosexuality, and fixed gender identities. But musicians from Nicki Minaj to Future to Rae Sremmurd deploy queerness and sonic blackness as they imagine different ways of being human. Building on the work of Sylvia Wynter, Alexander Weheliye, Lester Spence, L.H. Stallings, and a broad swath of queer and critical race theory, Posthuman Rap turns an ear especially toward hip hop that is often read as apolitical in order to hear its posthuman possibilities, its construction of a humanity that is blacker, queerer, more feminine than the norm. While each chapter is written so that it can be sectioned off from the rest and read with a focus on the discrete argument contained in it, the chapters are not meant to be individual case studies. Rather, each builds on the previous one so that the book should best function if it is read in sequence, as a journey that lands us in a posthuman vestibule where we can party more freely and hear the music more clearly if we’ve traveled through the rest of the book to get there.

On the Dichotomy of the Evolution Families: A Discrete-Argument Approach

We establish a discrete-time criteria guaranteeing the existence of an exponential dichotomy in the continuous-time behavior of an abstract evolution family. We prove that an evolution family acting on a Banach space X is uniformly exponentially dichotomic (with respect to its continuous-time behavior) if and only if the corresponding difference equation with the inhomogeneous term from a vector-valued Orlicz sequence space lΦ(ℕ, X) admits a solution in the same lΦ(ℕ, X). The technique of proof effectively eliminates the continuity hypothesis on the evolution family (i.e., we do not assume that U( · , s)x or U(t, · )x is continuous on [s, ∞), and respectively [0, t]). Thus, some known results given by Coffman and Schaffer, Perron, and Ta Li are extended.