• 제목/요약/키워드: Salem series

검색결과 7건 처리시간 0.019초

ON THE PERIOD OF β-EXPANSION OF PISOT OR SALEM SERIES OVER 𝔽q((x-1))

  • RIM, GHORBEL;SOUROUR, ZOUARI
    • 대한수학회보
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    • 제52권4호
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    • pp.1047-1057
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    • 2015
  • In [6], it is proved that the lengths of periods occurring in the ${\beta}$-expansion of a rational series r noted by $Per_{\beta}(r)$ depend only on the denominator of the reduced form of r for quadratic Pisot unit series. In this paper, we will show first that every rational r in the unit disk has strictly periodic ${\beta}$-expansion for Pisot or Salem unit basis under some condition. Second, for this basis, if $r=\frac{P}{Q}$ is written in reduced form with |P| < |Q|, we will generalize the curious property "$Per_{\beta}(\frac{P}{Q})=Per_{\beta}(\frac{1}{Q})$".

BETA-EXPANSIONS WITH PISOT BASES OVER Fq((x-1))

  • Hbaib, Mohamed
    • 대한수학회보
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    • 제49권1호
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    • pp.127-133
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    • 2012
  • It is well known that if the ${\beta}$-expansion of any nonnegative integer is finite, then ${\beta}$ is a Pisot or Salem number. We prove here that $\mathbb{F}_q((x^{-1}))$, the ${\beta}$-expansion of the polynomial part of ${\beta}$ is finite if and only if ${\beta}$ is a Pisot series. Consequently we give an other proof of Scheiche theorem about finiteness property in $\mathbb{F}_q((x^{-1}))$. Finally we show that if the base ${\beta}$ is a Pisot series, then there is a bound of the length of the fractional part of ${\beta}$-expansion of any polynomial P in $\mathbb{F}_q[x]$.

Current clinical applications of platelet-rich plasma in various gynecological disorders: An appraisal of theory and practice

  • Dawood, Ayman Shehata;Salem, Hesham Abdelaziz
    • Clinical and Experimental Reproductive Medicine
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    • 제45권2호
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    • pp.67-74
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    • 2018
  • The purpose of this paper is to review the current clinical uses of platelet-rich plasma (PRP) in the field of gynecology. All relevant articles published from January 2000 to December 2017 were reviewed and analyzed. The articles on PRP in the field of gynecology were mainly case series, pilot studies, or case reports. PRP is currently considered a new therapeutic modality for some disorders that are refractory to conventional drugs.

Efficient cross-sectional profiling of built up CFS beams for improved flexural performance

  • Dar, M. Adil;Subramanian, N.;Atif, Mir;Dar, A.R.;Anbarasu, M.;Lim, James B.P.
    • Steel and Composite Structures
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    • 제34권3호
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    • pp.333-345
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    • 2020
  • In the past, many efficient profiles have been developed for cold-formed steel (CFS) members by judicious intermediate stiffening of the cross-sections, and they have shown improved structural performance over conventional CFS sections. Most of this research work was based on numerical modelling, thus lacking any experimental evidence of the efficiency of these sections. To fulfill this requirement, experimental studies were conducted in this study, on efficient intermediately stiffened CFS sections in flexure, which will result in easy and simple fabrication. Two series of built-up sections, open sections (OS) and box sections (BS), were fabricated and tested under four-point loading with same cross-sectional area. Test strengths, modes of failure, deformed shapes, load vs. mid-span displacements and geometric imperfections were measured and reported. The design strengths were quantified using North American Standards and Indian Standards for cold-formed steel structures. This study confirmed that efficient profiling of CFS sections can improve both the strength and stiffness performance by up to 90%. Closed sections showed better strength performance whereas open sections showed better stiffness performance.

Flexural Strength of cold-formed steel built-up composite beams with rectangular compression flanges

  • Dar, M. Adil;Subramanian, N.;Dar, Dawood A.;Dar, A.R.;Anbarasu, M.;Lim, James B.P.;Mahjoubi, Soroush
    • Steel and Composite Structures
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    • 제34권2호
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    • pp.171-188
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    • 2020
  • The past research on cold-formed steel (CFS) flexural members have proved that rectangular hollow flanged sections perform better than conventional I-sections due to their higher torsional rigidity over the later ones. However, CFS members are vulnerable to local buckling, substantially due to their thin-walled features. The use of packing, such as firmly connected timber planks, to the flanges of conventional CFS lipped I-sections can drastically improve their flexural performance as well as structural efficiency. Whilst several CFS composites have been developed so far, only limited packing materials have been tried. This paper presents a series of tests carried out on different rectangular hollow compression flanged sections with innovative packing materials. Four-point flexural tests were carried out to assess the flexural capacity, failure modes and deformed shapes of the CFS composite beam specimens. The geometric imperfections were measured and reported. The North American Specifications and Indian Standard for cold-formed steel structures were used to compare the design strengths of the experimental specimen. The test results indicate clearly that CFS rectangular 'compression' flanged composite beams perform significantly better than the conventional rectangular hollow flanged CFS sections.

Outcome of complete acellular dermal matrix wrap with polyurethane implant in immediate prepectoral breast reconstruction

  • Naemonitou, Foteini;Mylvaganam, Senthurun;Salem, Fathi;Vidya, Raghavan
    • Archives of Plastic Surgery
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    • 제47권6호
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    • pp.567-573
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    • 2020
  • Background Polyurethane implants have been used on and off in breast reconstruction since 1991 while prepectoral breast reconstruction has gained popularity in recent times. In this study, we present our outcomes from the use of acellular dermal matrix (ADM) complete wrap with polyurethane implants in prepectoral breast reconstruction. Methods This is a retrospective review of prospectively maintained database from 41 patients receiving complete ADM wrap with prepectoral polyurethane implants over a 3-year period. Selection criteria were adapted from a previous study (4135 Trust Clinical Audit Database) evaluating prepectoral reconstruction with Braxon matrices. Patient demographics, operative data, surgical complications, and outcomes were collected and analyzed. Results A total of 52 implant reconstructions were performed in 41 patients with a mean follow-up of 14.3 months (range, 6-36 months). The overall reported complication rates including early (less than 6 weeks) and late complications. Early complications included two patients (4.9%) with wound dehiscence. One of which had an implant loss that was salvageable. Another patient (2%) developed red-breast syndrome and two women (4.9%) developed with seroma treated conservatively. Late complications included one patient (2%) with grade II capsular contraction, 12 patients with grade I-II rippling and two patients (4.9%) with grade III rippling. Conclusions We present our experience of prepectoral polyurethane implant using complete ADM wrap. This is one of the few papers to report on the outcome of the prepectoral use of polyurethane in immediate implant-based breast reconstruction. Our early observational series show satisfactory outcome and long-term results are warranted by a large multicenter study.

The Role of Open Source Software to Create Digital Libraries and Standards Assessment

  • ALbeladi, Salmah Salem
    • International Journal of Computer Science & Network Security
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    • 제21권7호
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    • pp.241-248
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    • 2021
  • Open-source software developments are basically Internet-based communities that voluntarily collaborate in developing software on the Internet and such Internet communities have become an important cultural and economic phenomenon. As a result, the emergence of open-source software has presented a challenge to the traditional offerings by providing free alternatives. The objective of this article is to review the possibility of the adoption of open source software in the creation of digital libraries, highlights advantages and disadvantage preservations. Among our objective also explaining the request of such software at the present time and the criteria evaluated in the digital preservation through surveying the best open source software from the reality of intellectual production, and standards that are being built to evaluate and choose what software to create a digital library without other software available. To achieve the above objectives, we shed the light on the top 11 open-source software to manage Libraries in addition to standards that may represent the basic building block for the selection of the appropriate systems to the needs of the digital library. This article relied on the descriptive approach by reviewing a series of studies and scientific research works related to the subject of the current study. Accordingly, the most prominent of the findings of this work is its illustration of the close association between open source software and the library community, both of which represent free culture. Also it is shown that the selection process of open source software has some obstacles most notably as there are no clear and reliable criteria for selecting these systems. Current study has concluded a set of recommendations, notably awareness of the role and importance of open source software and the facilities it provides in managing digital content.