207,295 research outputs found
Agrawali, Kayali ja Saxena teoreem algarvulisuse kohta
Full text linkThis bachelor’s thesis gives an overview about prime numbers and different
methods how to determine if an integer is prime or composite. It is based on Andrew
Granville’s article "It is easy to determine if a given integer is prime", where
he introduces and gives a proof of the primality theorem of Agrawal, Kayal and
Saxena. The theorem was first published in 2002 in a paper "PRIMES is in P" by
Manindra Agrawal, Neeraj Kayal and Nitin Saxena.
This thesis consists of 3 parts. In the first part, the main definitions are given
that are used throughout the whole thesis. The second part gives some examples
about different theorems which have been used to determine primality before the
theorem of Agrawal, Kayal and Saxena. In the third part we give a detailed proof
of the main theorem of the thesis. It is formulated as follows.
For a given integer n 2, let r be a positive integer < n, for which n has
order > (log2 n)2 (mod r). Then n is prime if and only if
1) n is not a perfect power,
2) n does not have any prime factor r,
3) (x + a)n xn + a mod (n; xr =< 1) for each integer a, 1 a
p
r log n.
Based on this theorem M. Agrawal, N. Kayal and N. Saxena created a deterministic
primality-proving algorithm. This algorithm determines whether a positive
integer n is prime or composite within polynomial time with respect to the number
of digits of n
A Fixed Point Theorem for Meir-Keeler Type Contraction Via Gupta-Saxena Expression
No full textERHAN, INCI M./0000-0001-6042-3695In this paper, following the idea of Samet et al. (J. Nonlinear. Sci. Appl. 6: 162-169, 2013), we establish a new fixed point theorem for a Meir-Keeler type contraction via Gupta-Saxena rational expression which enables us to extend and generalize their main result (Gupta and Saxena in Math. Stud. 52: 156-158, 1984). As an application we derive some fixed points of mappings of integral type
FIGURE 1 in First report of the moss Rhynchostegiella divaricatifolia (Renauld & Cardot) Broth. from Western Himalayan region of India
No full textFIGURE 1. Rhynchostegiella divaricatifolia: 1—growing on soil of Linguard house at Mukteshwar reserve forest (2286 m) in the Kumaon hills; 2—from Ranikhet (Kumaon hills) growing on slope of a rock (1829 m); 3—growing on rock's (1400 m) crevices under dripping water from Artola (Almora) in the Kumaon hills.Published as part of Saxena, Dinesh K., Kumar, Saurabh & Saxena, Soniya, 2010, First report of the moss Rhynchostegiella divaricatifolia (Renauld & Cardot) Broth. from Western Himalayan region of India, pp. 59-64 in Phytotaxa 8 on page 62, DOI: 10.11646/phytotaxa.8.1.7, http://zenodo.org/record/489527
Grundlagen der Peritonealdialyse
Full text linkNeben der Hämodialyse und der Nierentransplantation ist die Peritonealdialyse ein weiteres Nierenersatzverfahren, das aktuell in unseren Breitengraden zu selten angewandt wird
Misaligned? Overvalued? The Untold Story of the Turkish Lira
Full text linkThere is a consensus among scholars that overvalued exchange rates result in currency crises. This paper estimates the equilibrium real exchange rate for Turkey and finds that the lira was indeed overvalued before the crises in 1994 and 2001. However, the actual real exchange rate is at present close to the equilibrium level, exposing the myth propagated by the Turkish exporters that lira’s overvaluation is responsible for Turkey’s uncompetitive exports. The paper also highlights the role for fiscal adjustment in macroeconomic stabilityTurkish lira, overvaluation, equilibrium real exchange rate, misalignment
Peramalan Laju Inflasi Di Indonesia Menggunakan Metode Fuzzy Time Series Saxena-Easo
No full textInflasi adalah fenomena dimana harga barang dan jasa umumnya naik. Inflasi yang stabil sangat penting untuk menjaga pertumbuhan ekonomi agar dapat meningkatkan kesejahteraan masyarakat. Inflasi tidak hanya merupakan fenomena jangka pendek, tetapi juga merupakan fenomena jangka Panjang. Untuk itu, perlu adanya antisipasi dan tindakan untuk mencegah inflasi agar tidak melambung tinggi dan terlalu rendah. Salah satu caranya dengan melakukan peramalan. Fuzzy time series (FTS) salah satu metode yang digunakan dalam peramalan. Fuzzy time series Saxena-Easo memperbaiki metode yang diperkenalkan oleh Stevenson dan Porter dengan melakukan modifikasi pada pembentukan subinterval kelas himpunan fuzzy, yang didasarkan pada jumlah anggota di setiap interval kelas. Data yang digunakan yaitu data laju inflasi di Indonesia bulan Januari 2013 hingga April 2024. Hasil penerapan metode fuzzy time series Saxena-Easo mampu meramalkan laju inflasi sangat baik. Karena menghasilkan kesalahan peramalan berdasarkan MAPE sebesar 1,029%, dan nilai RMSE yang diperoleh adalah 0,1016. Nilai peramalan satu periode kedepan pada bulan Juli 2024 sebesar 2,54%
Dr. Duane M. Jackson, Morehouse College, July 2011
No full textThis video is a conversation with Dr. Duane M. Jackson. Dr. Jackson talks about his paper, "Recall and the Serial Position Effect: The Role of Primacy and Recency on Accounting Students' Performance." Jackie Daniel, AUC Woodruff Library, is the interviewer
Extensibility of Association Schemes and GRH-Based Deterministic Polynomial Factoring
Full text linkThe subject of the present work is the application of the theory of combinatorial schemes to problems in computational algebra. The principal notions of combinatorial schemes which are studied in this work are association schemes (Bannai & Ito (1984), Zieschang (1996, 2005)), m-schemes (Ivanyos, Karpinski & Saxena (2009), Arora et al. (2012)), and presuperschemes (Smith (1994, 2007), Wojdylo (1998, 2001)). The main computational problems considered in this work are polynomial factoring over finite fields, the Schurity problem of association schemes (and its relaxation in the notion of extensibility), and matrix multiplication. We show that each of the latter problems admits a deep connection to the theory of combinatorial schemes, and describe natural algebraic-combinatorial frameworks which capture the essence of their algebraic complexity. As a logical application, we delineate how structural results for combinatorial schemes can translate to fundamental improvements in the realm of computational algebra
Construction & deconstruction of linguistic otherness: conflict & cooperative code-switching in (English/) bilingual classrooms
Full text linkThe socio-cultural settings of English-language and Englishmedium classrooms are intrinsically bi/multilingual and bi/multicultural as both learners and teachers bring their multiple identities and home-community languages and sociolinguistic practices into the classroom.
However, more often than not in such contexts, monolingual ideologies are the guiding principle for the top-down language education policies of “one-language only” which often create conflict and tension. In a post-colonial context, this paper looks at how monolingual ideologies and policies construct L1 as “the linguistic other” in face-to-face interaction in English classrooms which are defined as “English-only”. It also shows how the essentialisation of the English classroom’s socio-cultural spaces as non-local is met with resistance through the use of L1 which is informed by the local/national ideologies and constructs English as “the other”. Against such a conflict scenario, it finds that code-switching is employed by the participants in some classrooms to achieve pedagogical goals and to resolve the tension which also deconstructs the positioning of both English and L1 as “the linguistic other”. The paper employs multilayered analyses and draws on data from ethnographic research based in the classroom and community contexts. The data includes, amongst other, transcripts of classroom interactions and opinions of teachers and students about their language choices in such interactions. The findings of the paper suggest that an appreciation of the potential of the positive power, the constructive resistance and the resource argument of L1 use in English classrooms can lead to deconstructing the
essentialist meanings of “the linguistic other”
Hallux Valgus Surgery in the Athlete: Current Evidence
No full textHallux valgus is a common disorder characterized by a medial deviation of the 1st metatarsal, eventually leading to subluxation and pain of the 1st metatarsophalangeal joint. This can inhibit sports activity. Despite being a common forefoot pathology, debate exists regarding the appropriate surgical approach in the athletic population. Paucity in literature exists with reporting of outcomes of 1st metatarsal procedures leading to best outcomes. This review was able to identify 5 studies of surgical correction of hallux valgus in athletes published to date. The aim is to guide the physician in treating athletes with hallux valgus deformity. Currently, the literature supports distal 1st metatarsal osteotomy (Chevron) with a return to activity of approximately 3 months for mild to moderate deformity, and the Ludloff osteotomy for moderate to severe deformity at a slightly slower time frame of return to sports. At best, the Lapidus procedure allows approximately 80% of patients to return to activity. Studies need to document activity level and return to sport in order to help guide treatment
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