Positive Operator Frame for Hilbert C*-modules

This study examines the framing of Arab refugees and asylum seekers in the global news, represented by the news stories published on the online edition of CNN. Based on the framing theory, the quantitative content analysis found the attribution of responsibility frame to be the most salient and frequent frame in the coverage of Arab refugees and asylum seekers. The responsibility frame ascribing the Arab refugee crisis or its resolution to different actors and groups surpassed the other four news frames— human interest, conflict, economic consequences, and morality; although the five frames were existent in coverage. The lone hypothesis of the study expecting thematic frames to be more common than episodic frames was found supported. That is, the news coverage of Arab refugees tended to be thematic, as it covered the issue in the broader context, whereas episodic frames that focus on individual accounts and personal stories were less frequent. Security terms that describe Arab refugees as potential threats were found more often than the humanitarian terms that frame them as victims. The study pinpointed the lack of photos and voices of Arab refugees in the news coverage, as 90% of the relevant news articles did not include their quotes, whilst around two-thirds of the news stories did not include any of their images. The featured quotes tend to frame Arab refugees negatively, whereas the embedded photos presented more positive frames, however, the overall framing of Arab refugees and asylum seekers in CNN news stories tended to be generally balanced.

Framing Arab Refugees in Global News

The theory of frames for a Hilbert space plays a fundamental role in signal processing, image processing, data compression, sampling theory and more, as well as being a fruitful area of research in abstract mathematics. In this “tutorial” on abstract frame theory, we will try to point out the major directions of research in abstract frame theory and give some sample techniques from each of the areas. We will also bring out some of the important open questions, discuss some of the limitations of the existing theory, and point to some new directions for research.

Goffman's theory of frames and situated meaning-making in performance reviews. The case of a category management approach in the French retail sector

R. Drnovšek, D. Kokol-Bukovšek, L. Livshits, G. MacDonald, M. Omladič, and H. Radjavi constructed an irreducible set of positive nilpotent operators on $L^p[0,1)$ which is closed under multiplication, addition and multiplication by positive real scalars with the property that any finite subset is ideal-triangularizable. In this paper we prove the following: every algebra of nilpotent operators which is generated by a set of positive operators on a Banach lattice is ideal-triangularizable whenever the nilpotency index of its operators is bounded; every finite subset of an algebra of nilpotent operators which is generated by a set of positive operators on a Banach lattice is ideal-triangularizable.

: A multidimensional periodicity detection algorithm is established, and implementation has been made on ECoG data and with broadband and I/f noise. The algorithm requires the characterization of periodic continuous wavelet transforms, and the solution of an optimization problem coupled with an averaging method for mixed-norm spaces. A transition of this technology has been made to Techno-Sciences, Inc. in their NASA supported work for Health Maintenance of jet engines using eddy current sensors. A multidimensional irregular sampling technique is also established, and the corresponding algorithm solves signal reconstruction problems in MRI for sampled spectral data on interleaving spirals related to fast imaging techniques. The tools required are our results from the theory of frames, as well as the Beurling-Landau analysis of balayage.

Orthogonal polynomials and special functions are crucial in the advancement of numerical and analytical methodologies in the fields of mathematics, physics, and engineering. In the modern era, the fields of study mentioned above have attracted considerable attention and are progressively finding their way into diverse domains, including computational probability, statistics, numerical analysis, computational fluid dynamics, data assimilation, and image and signal processing The present study introduces a novel subfamily of bi-univalent functions utilizing -Hermite polynomials. Subsequently, a multitude of significant findings are derived, including bounds for those initial coefficients of and , as well as outcomes pertaining to the Fekete-Szegö functional.

The goal of this book was to introduce the reader to the recent advances in the field of uncertainty quantification and error propagation for computer vision, image processing, and image analysis that are based on partial differential equations (PDEs). Our original motivation was the observation that more and more often, measured data in the form of images are being used as part of the simulation pipeline, and that error propagation and uncertainty quantification—starting from images but then moving through the pipeline—are important to understanding the ending result of this scientific or engineering process. To analyze the image processing pipeline, we have presented concepts that enable error propagation to be formulated with a set of basic operations: the idea of stochastic images and corresponding (numerical PDE) operations on those images. From this perspective, one approach commonly used within the engineering literature is to employ Monte Carlo sampling techniques to attempt to quantify the impact of errors and variability on an engineering pipeline. Within the uncertainty quantification world, alternative approaches such as the class of generalized polynomial chaos (gPC) methods, which make assumptions about the ability to approximate the process of interest through polynomial approximations, have gained traction as a way of accelerating the convergence of the error and uncertainty quantification process in a computationally tractable way. In this book, we have shown the results of our exploration of the use of the gPC methodology for image processing and computer vision problems. We have relied on the fact that all the prerequisites of the gPC framework (e.g., finite variance, smoothness in the stochastic space, etc.) are intrinsically satisfied in the image processing context. In particular, we have shown how the generalized polynomial chaos (gPC) approach and its corresponding rules for computation (e.g., sums, products, projections on the gPC space, etc.) lead to straightforward generalizations to image processing and computer vision techniques. We have shown that the gPC methodology, when combined with image processing and computer vision techniques, provides a powerful approach to error propagation and uncertainty quantification, and to accessing system sensitivity.

Let E be a Banach lattice, T be a bounded operator on E. The Weyl essential spectrum σew(T) of the operator T is a set $$\sigma_{\rm ew}(T) = {\mathop{\cap}\limits_{K \in {\mathcal {K}}(E)}} \sigma (T + K)$$ , where $${\mathcal K}(E)$$ is a set of all compact operators on E. In particular for a positive operator T next subsets of the spectrum $$\sigma_{\rm ew}^+(T) = \bigcap\limits_{0 \le K \in {\mathcal K}(E)} \sigma (T + K), \ \ \ \ \ \sigma_{\rm ew}^-(T) = \bigcap\limits_{0 \le K \in {\mathcal K}(E) \le T} \sigma (T - K)$$ are introduced in the article. The conditions by which $$r(T) \not\in \sigma_{\rm ef}(T)$$ implies either $$r(T) \not\in \sigma_{\rm ew}^+(T)$$ or $$r(T) \not\in \sigma_{\rm ew}^-(T)$$ are investigated, where σef(T) is the Fredholm essential spectrum. By this reason, the relations between coefficients of the main part of the Laurent series of the resolvent R(., T) of a positive operator T around of the point λ = r(T) are studied. The example of a positive integral operator T : L1→ L∞ which doesn’t dominate a non-zero compact operator, is adduced. Applications of results which are obtained, to the spectral theory of band irreducible operators, are given. Namely, the criteria when the operator inequalities 0 ≤ S < T imply the spectral radius inequality r(S) < r(T), are established, where T is a band irreducible abstract integral operator.

The inability of accounting, which includes recording techniques for transaction processes and the use of software, has failed of MSMEs in developing their businesses. This study examines the effect of positive and negative framing on the use of technology-based financial software. Data collection in this study was conducted by distributing questionnaires as many as 100 questionnaires with purposive sampling technique, a total of 98 questionnaires that can be processed. Data analysis using Statistical Product and Service Solution (SPSS) version 22.0. The results provide empirical evidence that the concept of positive framing and negative framing affects the use of technology-based financial software. for MSME actors, as well as supporting the prospect theory concept used in research. Keywords: framing, prospect theory, financial management, financial software, MSMEs

PurposeThe purpose of this paper is to demonstrate the route to digitize the customized mandible implants consisting of image acquisition, processing, implant design, fitting rehearsal and fabrication using fused deposition modeling and electron beam melting methodologies.Design/methodology/approachRecent advances in the field of rapid prototyping, reverse engineering, medical imaging and image processing have led to new heights in the medical applications of additive manufacturing (AM). AM has gained a lot of attention and interest during recent years because of its high potential in medical fields.FindingsProduced mandible implants using casting, milling and machining are of standard sizes and shapes. As each person’s physique and anatomical bone structure are unique, these commercially produced standard implants are manually bent before surgery using trial and error methodology to custom fit the patient’s jaw. Any mismatch between the actual bone and the implant results in implant failure and psychological stress and pain to the patient.Originality/valueThe novelty in this paper is the construction of the customized mandibular implant from the computed tomography (CT) scan which includes surface reconstruction, implant design with validation and simulation of the mechanical behavior of the design implant using finite element analysis (FEA). There has been few research studies on the design and customization of the implants before surgery, but there had been hardly any study related to customized design implant and evaluating the biomechanical response on the newly designed implant using FEA. Though few studies are related to FEA on the reconstruction plates, but their paper lacks the implant design model and the reconstruction model. In this research study, an integrated framework is developed for the implant design, right from the CT scan of the patient including the softwares involved through out in the study and then performing the biomechanical study on the customized design implant to prove that the designed implant can withstand the biting and loading conditions. The proposed research methodology which includes the interactions between medical practitioners and the implant design engineers can be incorporated to any other reconstruction bone surgeries.

The problem of creation and investigation of parallel Monte Carlo algorithms for solving LargeScale Air Pollution Problems is studied. We consider a model of Air pollution transport. This model includes diffusion, advection (drift due to the wind), deposition and chemical reactions. For obtaining the initial and boundary conditions of the model it is necessary to deal with Noisy Data. The work consists of three parts. In the first part we obtain a practical efficient Monte Carlo method for estimating the optimum amount of smoothing from the noisy data. In the second part a special Monte Carlo techniques (Monte Carlo with frozen velocities) for calculation of concentrations is developed and studied. An error analysis of this method is realized. The last part of the work deals with parallel realization of Monte Carlo methods on distributed transputer system. A numerical results for estimation of the Speed-Up and Efficiency are obtained. INTRODUCTION Monte Carlo methods are a powerful tool in many fields of mathematics and engineering. It is known that these methods have proved to be very efficient in solving multidimensional problems in composite domains [1,2,3]. Moreover, it is shown that for some problems(including one dimensional problems) in the corresponding functional spaces Monte Carlo methods have better speed of convergence than the optimal deterministic methods in such functional spaces [4,5]. * Supported by the Ministry of Science and Education of Bulgaria, Grand I 210 /1992. Transactions on Information and Communications Technologies vol 3, © 1993 WIT Press, www.witpress.com, ISSN 1743-3517 480 Applications of Supercomputers in Engineering An important advantage of these algorithms is that Monte Carlo ones allow to find directly the unknown functional of the solution of the problem with a number of operations, necessary to solve the problem in one point of the domain [1,6]. 1 PRELIMINARIES Our approach is based on an integral representation of the solution of the problem. The Fredholm integral equation t u(r, t) = jdtj k(r', f; r, t)u(r', t')dr' + f(r, t), (1) 0 G where re G C R*; t e [0,T]or (x,x')u(x')dx' + f(r,t), (2) D (« = Ku + /) where x = (r, t) £ D = G x [Q,T] and K is an integral operator, is studied. It is assumed that u, / G L, K G [L — •> L], where Lisa Banach space of integrable functions. Monte Carlo method for evaluation of linear functionals of the solution of the following type /t(z)w(z)dz = (12, A) (3) D is considered. The adjoint equation %* = JT w* 4k (4) will be used. In (4) w*, h G L*, K* G [L* — » L*], L* is the adjoint functional space and K* is an adjoint operator. For many applications L = LI and II / lk= / I /(*) I dx; D \\K\\L,<su.p f\k(x,x')\dx' (5) X J D In the case h(x) G Z/oo, sence L\* = L^ and Transactions on Information and Communications Technologies vol 3, © 1993 WIT Press, www.witpress.com, ISSN 1743-3517 Applications of Supercomputers in Engineering 481 || A||z_=sup|/t(z) |,zED. (6) It is assumed that || K* ||< 1,where n is a natural number, because the studied method uses the Neuman series CO « = £#'/• (7) i=0 But the condition || KTM ||< 1 is not very strong, since as shown by K.Sabelfeld [7] it is possible to construct Monte Carlo method when von Neuman series does not converge. Using method of analytical extension of resolvent through change of spectral parameter [7,p.60] it is possible to create convergent method when von Neuman series does not converge or to accelerate the rate of convergence when it converges slowly. It is easy to show that J = (u,h) = (/,«•). (8) So, consider Monte Carlo method for evaluation of functional (8).(One can see that when fc(x,xi) = 0we have a problem of evaluation of integrals.) Let £ £ D be a random point with a density p(x) and let there be n realizations of the random point £,-(i — 1,2, ...,ra). Let a random variable #(£) be defined in D, such that E6(t) = J Then the computational problem becomes one of calculating repeated realizations of 9 and of combining them into an appropriate statistical estimator of J. Because of the nature of the process every realization of 0 is a Markov chain. So, next we will use the Markov chain as a synonym of the realization of a random variable of this type. As approximate value of the linear functional J is set up

This chapter applauds the growing move toward social science collaboration with colleagues in other fields of science, technology, engineering, and mathematics (STEM). Drawing on several decades of experience in working with biophysical scientists and engineers, as well as on prior literature, I offer three main observations. First, STEM colleagues will often expect social scientists to play the role of public relations specialists, helping to “educate” the public, or to convince people that our STEM colleagues already have the right answers. Second, part of our job is a different kind of “science education” – educating STEM colleagues about basic principles of democratic governance. Third, we have an opportunity and an obligation to ask not just what social science can contribute to STEM, but also, what working with STEM colleagues can contribute to the social sciences. There appear to be particularly important opportunities for gaining insights into some of the less visible or obvious dynamics of power and privilege.

The concept of frame is an exciting, dynamic, and fast-paced subject with applications in numerous fields of mathematics and engineering. The purpose of this paper is to introduce equivalent ∗-continuous frames and to present ordinary duals of constructed ∗-continuous frames by an adjointable and invertible operator. Also, we establish some properties.

There has been significant advances in the field of image and video processing over the past few decades. The term "image processing" is used to describe multiple signal-processing methodologies where images (such as video or picture frames) serves as the input, resulting to another image or a collection of image-related parameters or features. The majority of methodologies to image processing include reducing the picture to a two-dimensional signal and processing it in the same way as any other signal. The term "video processing" on the other hand is used to describe a particular type of signal processing where video files or video streams are utilized as output or input signals. Video recorders, televisions, video codecs, digital versatile, disc players, and other devices all utilize video processing algorithms. This paper provides a survey of the components of Digital Image Processing (DIP) as well as the recent developments in Image Processing technology and DIP applications.