Academic literature on the topic 'Binomial number system'

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Journal articles on the topic "Binomial number system"

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Borysenko, Oleksiy, Svitlana Matsenko, and Vjaceslavs Bobrovs. "Binomial Number System." Applied Sciences 11, no. 23 (2021): 11110. http://dx.doi.org/10.3390/app112311110.

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This paper presents and first scientifically substantiates the generalized theory of binomial number systems (BNS) and the method of their formation for reliable digital signal processing (DSP), transmission, and data storage. The method is obtained based on the general theory of positional number systems (PNS) with conditions and number functions for converting BNS with a binary alphabet, also allowing to generate matrix BNS, linear-cyclic, and multivalued number systems. Generated by BNS, binomial numbers possess the error detection property. A characteristic property of binomial numbers is
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OHSUGI, HIDEFUMI, and TAKAYUKI HIBI. "INDISPENSABLE BINOMIALS OF FINITE GRAPHS." Journal of Algebra and Its Applications 04, no. 04 (2005): 421–34. http://dx.doi.org/10.1142/s0219498805001265.

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A binomial f belonging to a toric ideal I is indispensable if, for any system [Formula: see text] of binomial generators of I, either f or -f belongs to [Formula: see text]. In the present paper, we study indispensable binomials of the toric ideals IG arising from a finite graph G. First, we show that the toric ideal IG arising from a finite graph G whose complementary graph is weakly chordal is generated by the indispensable binomials if and only if no complete graph of order ≥4 is a subgraph of G. Second, we completely classify indispensable binomials of the toric ideal IG arising from a fin
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Igor, Kulyk, Berezhna Olga, and Shevchenko Marina. "Development of data compressing coding methods on basis of binary binomial numbers." Technology audit and production reserves 2, no. 2(46) (2019): 12–18. https://doi.org/10.15587/2312-8372.2019.169897.

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<em>The object of research is the methods of compressive coding, which are used for economical presentation of data in information systems. Compression methods can be used at various stages of data processing, in the transmission of messages and their storage. One of the most problematic places for the application of compression methods are high requirements for computing resources, significant hardware and software costs for their implementation and low coding/decoding speed. In this case, of particular interest are methods, on the results of compression of which computational operations are
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Igor, Kulyk, Berezhna Olga, Novhorodtsev Anatoliy, and Shevchenko Maryna. "Development of binary information compression methods based on the binomial numerical function." Eastern-European Journal of Enterprise Technologies 3, no. 4 (111) (2021): 6–13. https://doi.org/10.15587/1729-4061.2021.234492.

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The application of data compression methods is an effective means of improving the performance of information systems. At the same&nbsp;time, interest is aroused to the methods of compression without information loss which are distinguished by their versatility, low needs of costs during implementation, and the possibility of self-control. In this regard, the application of binomial numbering systems is promising. The numerical function of the binomial numbering system is used for compression. It makes it possible to put sequences in one-to-one compliance with their numbers. In this case, the
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Kulyk, Igor, Olga Berezhna, Anatoliy Novhorodtsev, and Maryna Shevchenko. "Development of binary information compression methods based on the binomial numerical function." Eastern-European Journal of Enterprise Technologies 3, no. 4 (111) (2021): 6–13. http://dx.doi.org/10.15587/1729-4061.2021.234492.

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The application of data compression methods is an effective means of improving the performance of information systems. At the same time, interest is aroused to the methods of compression without information loss which are distinguished by their versatility, low needs of costs during implementation, and the possibility of self-control. In this regard, the application of binomial numbering systems is promising. The numerical function of the binomial numbering system is used for compression. It makes it possible to put sequences in one-to-one compliance with their numbers. In this case, the trans
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Borysenko, Oleksiy, Svitlana Matsenko, Toms Salgals, Sandis Spolitis, and Vjaceslavs Bobrovs. "The Lossless Adaptive Binomial Data Compression Method." Applied Sciences 12, no. 19 (2022): 9676. http://dx.doi.org/10.3390/app12199676.

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In this paper, we propose a new method for the binomial adaptive compression of binary sequences of finite length without loss of information. The advantage of the proposed binomial adaptive compression method compared with the binomial compression method previously developed by the authors is an increase in the compression rate. This speed is accompanied in the method by the appearance of a new quality—noise immunity of compression. The novelty of the proposed method, which makes it possible to achieve these positive results, is manifested in the adaptation of the compression ratio of compres
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Almarashi, Abdullah, Sayed Abdel-Khalek, and Debasis Kundu. "Photon statistics and non-local properties of a two-qubit-field system in the excited negative binomial distribution." Thermal Science 26, Spec. issue 1 (2022): 239–46. http://dx.doi.org/10.2298/tsci22s1239a.

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In this paper, a quantum scheme for a two-qubit system (2QS) and field initially prepared in the excited negative binomial distribution is presented. The field photon statistics is detected from the evolution of the Mandel parameter, while the evolution of von Neumann entropy detects the nonlocal correlation between the 2QS and radiation field. The concurrence is used to detect the qubit-qubit entanglement during the time evolution. The dynamical properties of single-qubit and two-qubit quantum Fisher information are investigated. We visualize the number of photon excitations on the field in n
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Gómez, Fidel, and Juan Pablo Bocarejo. "Accident Prediction Models for Bus Rapid Transit Systems." Transportation Research Record: Journal of the Transportation Research Board 2512, no. 1 (2015): 38–45. http://dx.doi.org/10.3141/2512-05.

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This research sought to model traffic accidents in the bus rapid transit (BRT) system in Bogotá, Colombia. For each BRT station, 35 variables related to system flows, infrastructure, service, surroundings, and socio-economic context were tested. After a selection process, a set of 11 explanatory variables was obtained and used in the development of generalized linear models (Poisson and negative binomial models) and a neural network model. The results showed that the neural network model had better predictability indicators than did those obtained by the Poisson and negative binomial models. A
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Economou, Antonis, and Stella Kapodistria. "q-SERIES IN MARKOV CHAINS WITH BINOMIAL TRANSITIONS." Probability in the Engineering and Informational Sciences 23, no. 1 (2008): 75–99. http://dx.doi.org/10.1017/s0269964809000084.

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We consider a single-server Markovian queue with synchronized services and setup times. The customers arrive according to a Poisson process and are served simultaneously. The service times are independent and exponentially distributed. At a service completion epoch, every customer remains satisfied with probability p (independently of the others) and departs from the system; otherwise, he stays for a new service. Moreover, the server takes multiple vacations whenever the system is empty.Some of the transition rates of the underlying two-dimensional Markov chain involve binomial coefficients de
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Nam, Bo-Ra, and C. H. Choi. "The Impact of Drug Approval-Patent Linkage System on Patent Applications: Evidence from the KORUS FTA." Journal of Korea Trade 27, no. 6 (2023): 65–80. http://dx.doi.org/10.35611/jkt.2023.27.6.65.

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Purpose - This paper empirically investigates the impact of strengthened intellectual property rights (IPRs) within the KORUS Free Trade Agreement (FTA) on patent applications filed by domestic pharmaceutical companies in Korea.&#x0D; Design/methodology - In this study, the distribution of the dependent variable is assumed to follow a Poisson or a negative binomial distribution, given the count nature of the dependent variable. Therefore, it can be estimated through the Panel Count Model. The study utilizes Poisson panel analysis and negative binomial panel analysis.&#x0D; Findings - The resul
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Dissertations / Theses on the topic "Binomial number system"

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Іванчук, Олексій Васильович, Алексей Васильевич Иванчук, and Oleksii Vasylovych Ivanchuk. "Self-controlled binomial counters." Thesis, Сумський державний університет, 2013. http://essuir.sumdu.edu.ua/handle/123456789/33535.

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Counters take a special place among digital circuits used for data processing. Nowadays we more and more often face the task of improving their supervisory capacity. However, controlling their errors is a rather complex task, which requires the development of an additional control device added to the counter, the operation of which it is also necessary to check. Moreover, in this case the counter becomes an inhomogeneous structure, which is not easy to design and adjust while its reliability may even decrease. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/
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Бережна, Ольга Володимирівна, Ольга Владимировна Бережная, Olha Volodymyrivna Berezhna, В. В. Арбузов, В. В. Безгинский та Ю. Ю. Смолянинова. "Об эффективности применения биномиальной системы счисления при построении измерительных каналов". Thesis, Сумский государственный университет, 2016. http://essuir.sumdu.edu.ua/handle/123456789/46254.

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Интенсификация процесса автоматизации технологических процессов нуждается в обеспечении его такими средствами автоматизации, которые бы отличались повышенной надежностью и быстродействием аналого-цифровых преобразований при измерениях параметров технологического процесса, а также высоким уровнем помехозащищенности процесса передачи измерительной информации.
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Protasova, Tetiana Oleksandrivna, Татьяна Александровна Протасова, Тетяна Олександрівна Протасова та Е. А. Протасова. "Формирователь композиций на основе биномиальных систем счисления с многозначным алфавитом". Thesis, Изд-во СумДУ, 2008. http://essuir.sumdu.edu.ua/handle/123456789/4300.

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Борисенко, Олексій Андрійович, Алексей Андреевич Борисенко, Oleksii Andriiovych Borysenko та ін. "Синтез сполучень з повтореннями на основі багатозначних біноміальних систем числення". Thesis, Сумський державний університет, 2016. http://essuir.sumdu.edu.ua/handle/123456789/45797.

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При вирішенні задач цілочисельної оптимізації, завадостійкого кодування, стиску, захисту та відображення інформації використовують методи, в яких застосовуються комбінаторні конфігурації – сполучення, композиції, перестановки. Існуючі алгоритми формування таких комбінацій досить складні і не є універсальними. Також вони досить складно реалізуються у вигляді цифрових пристроїв. Тому в роботі запропоновано універсальний метод формування комбінаторних конфігурацій на основі багатозначних біноміальних систем числення. При такому підході спочатку формується багатозначне біноміальне число, а потім з
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Кулик, Ігор Анатолійович, Игорь Анатольевич Кулик, Ihor Anatoliiovych Kulyk та П. Д. Олейник. "Нумерационное сжатие на основе биномиальных чисел". Thesis, Сумский государственный университет, 2015. http://essuir.sumdu.edu.ua/handle/123456789/41139.

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Одной из эффективных мер по повышению производительности различных информационных систем является использование методов сжатия информации. При этом отдельный интерес вызывают методы сжатия без информационных потерь, которые обладают существенно меньшим временем кодирования и декодирования данных по сравнению с методами, допускающих потери информации. Этот факт приобретает особую важность при построении информационных систем, работающих в режиме реального времени.
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Book chapters on the topic "Binomial number system"

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Kahn, David M., and Jan Hoffmann. "Exponential Automatic Amortized Resource Analysis." In Lecture Notes in Computer Science. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45231-5_19.

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AbstractAutomatic amortized resource analysis (AARA) is a type-based technique for inferring concrete (non-asymptotic) bounds on a program’s resource usage. Existing work on AARA has focused on bounds that are polynomial in the sizes of the inputs. This paper presents and extension of AARA to exponential bounds that preserves the benefits of the technique, such as compositionality and efficient type inference based on linear constraint solving. A key idea is the use of the Stirling numbers of the second kind as the basis of potential functions, which play the same role as the binomial coeffici
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Walrand, Jean. "Multiplexing: B." In Probability in Electrical Engineering and Computer Science. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-49995-2_4.

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AbstractChapter 10.1007/978-3-030-49995-2_3 used the Central Limit Theorem to determine the number of users that can safely share a common cable or link. We saw that this result is also fundamental to calculate confidence intervals. In this section, we prove this theorem. A key tool is the characteristic function that provides a simple way to study sums of independent random variables.Section 4.1 introduces the characteristic function and calculates it for a Gaussian random variable. Section 4.2 uses that function to prove the Central Limit Theorem. Section 4.3 uses the characteristic function
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Zhang, Wenbo, Xinwu Qian, and Satish V. Ukkusuri. "Identifying the Temporal Characteristics of Intra-City Movement Using Taxi Geo-Location Data." In Enriching Urban Spaces with Ambient Computing, the Internet of Things, and Smart City Design. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-0827-4.ch004.

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In this chapter, the authors focus on temporal patterns of urban taxi trips and explore determinant factors in conjunction with geodatabase at aggregate level. Zero-Inflated Negative Binomial model is proposed in light of count data nature and excessive number of O-D pairs with zero trip. Three typical time slots on weekdays, as well as weekends, are introduced as case study to check temporal variations of intra-city movement. The results indicate that trip distance, land use, socioeconomics, and built environment are significant variables that affect the number of taxi trips between two locat
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Song, Wheyming Tina. "Reliability-Base Performance Measure for Stochastic Networks." In Advances in Transdisciplinary Engineering. IOS Press, 2019. http://dx.doi.org/10.3233/atde190151.

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An important performance measure for stochastic manufacturing networks is the system reliability, defined as the probability that the production output meets or exceeds a specified demand. This paper reviews and highlights the drawbacks of the previous works, including twenty one archival publications and the most recent published analytical Song rule. The major error in the twenty one archival publications error assumes that entities in the network are discrete and indivisible, while the analysis is based upon continuous flow through the network. That is, they assume that the number of defect
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Mishra, Priyanka. "Detecting Ballot Stuff Collusion Attack in Reputation System for Mobile Agents Security." In Advances in Computing Communications and Informatics. BENTHAM SCIENCE PUBLISHERS, 2022. http://dx.doi.org/10.2174/9789815040401122030008.

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A Mobile Agent (MA), when dispatched in a decentralized peer-to-peer (P2P) electronic community, is forced to do a transaction with unfamiliar hosts. Such unfamiliar hosts are malicious in nature and can tamper agent’s code, state, and data. To solve integrity, confidentiality, availability, and authenticity threats from hosts, this paper proposes a soft security approach. Under this approach, a trust-based reputation model called MRep is proposed. The model considers first-hand information called Direct Reputation (DR) obtained from trust gathered through Source Host (SH). The model assumes S
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Wink, Michael. "DNA Analyses Have Revolutionized Studies on the Taxonomy and Evolution in Birds." In Birds - Challenges and Opportunities for Business, Conservation and Research. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.97013.

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Whereas Linné aimed to classify all species of our planet by a unique binomial Latin name, later generations of taxonomists and systematicists intended to place the taxa in a natural system according to their phylogeny. This also happened in ornithology and still scientists are on the way to find the ultimate “Avian Tree of Life”. Formerly, systematic relationships were studied by comparing morphological characters. Since adaptive character evolution occurred frequently, convergences could lead to misleading conclusions. An alternative to morphological characters are biochemical markers, espec
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Treiman, Rebecca. "Consonants." In Beginning to Spell. Oxford University Press, 1993. http://dx.doi.org/10.1093/oso/9780195062199.003.0008.

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Learning to spell involves learning about the relations between the phonemes of the spoken language and the graphemes of the printed language. In Chapter 4, I asked how children learn these relations for vowels. The results showed that a number of factors affect children’s learning, including their exposure to printed words, their knowledge of letter names, and their phonological systems. In this chapter, I turn to consonants. I ask whether these same factors affect children’s spelling of consonants. This chapter focuses on substitution errors and, to a lesser extent, correct spellings. Conson
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Borisenko Alexei A., Kalashnikov Vyacheslav V., Protasova Tatiana A., and Kalashnykova Nataliya I. "A New Approach to the Classification of Positional Numeral Systems." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2014. https://doi.org/10.3233/978-1-61499-405-3-441.

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We propose a new classification of positional numeral systems with positive bases represented by either fixed numbers or by functions. The simplest functions used are the factorial and binomial ones. The proposed classification comprises all existing numeral systems with both uniform and non-uniform numbers, as well as possible new systems that could be developed in the future.
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Dastur, Arshan Homi, and Soubhik Chakraborty. "STATISTICAL ANALYSIS OF SUCCESSIVE OVER-RELAXATION METHOD." In Futuristic Trends in Contemporary Mathematics & Applications Volume 3 Book 2. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/v3bkcm2p7ch2.

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In numerical analysis, the successive over-relaxation method, an iterative technique that is a variation of the Gauss-Seidel technique, is applied to determine the solutions of systems of linear equations Ax=b. The main purpose of this study is to statistically analyze this method by filling the coefficient matrix A and the vector b with random numbers from different probability distributions- uniform inputs - both discrete uniform U[1, 2, 3,…,k] and continuous uniform U[0, θ] inputs are considered and non-uniform inputs, random numbers simulated from the binomial B(n, p) distribution. The val
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Andren, Claes, Goran Nilson, Mats Hoggren, and Ihakan Tegelstrom. "Reproductive strategies and sperm competition in the adder, Vipera berus." In Venomous Snakes. Oxford University PressOxford, 1996. http://dx.doi.org/10.1093/oso/9780198549864.003.0010.

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Abstract Reproduction in temperate snakes shows large variation. In males the reproductive cycle is annual, while females have a biennial or longer cycle depending on species and environmental conditions. Ovulation (fertilization) is temporally separated from copulation, allowing sperm competition in polyandric species. This system can, however, be violated by male-mediated renal sex secretion reducing sperm transfer from later matings by contraction of posterior uteri, or by a copulatory plug. Matings can be restricted to one spring or autumn period or can be biannual. Short-term sperm storag
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Conference papers on the topic "Binomial number system"

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Khetrish, Abdulrauf, Muamer Abuzwidah, and Samer Barakat. "Modeling Crash Frequency Using Crash and Geometric Data at Freeways." In International Symposium on Engineering and Business Administration. Trans Tech Publications Ltd, 2023. http://dx.doi.org/10.4028/p-hq3aty.

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Road crashes are one of the leading causes of death and injuries in many countries around the world, which leads to enormous losses in terms of health, social, and economic aspects. Researchers are using different tools to locate, assess, and treat hazard spots in the road network. this paper aims to investigate and understand the important variables that contribute to road crashes using different crash frequency modeling techniques. Negative Binomial and Poisson regression models were used to identify the most significant variables that increase the crash frequency on the roads. The study was
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Almeida, Margarida, Daniel Pereira, Nelson J. Muga, Margarida Facão, Armando N. Pinto, and Nuno A. Silva. "CV-QKD Security Limits Using Higher-Order Probabilistic Shaped Regular M-APSK Constellations." In Workshop de Comunicação e Computação Quântica. Sociedade Brasileira de Computação, 2022. http://dx.doi.org/10.5753/wquantum.2022.223560.

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In this work we study the performance of M-symbol (M-)Amplitude and Phase Shift Keying (APSK) constellations for Continuous-Variable Quantum Key Distribution systems. Despite the gap still observed between the performance of higher order regular M-APSK constellations with binomial distribution for probabilistic shaping and the optimal performance of Gaussian Modulation, regular 128-APSK’s performance is better than irregular 256-APSK’s and almost the same as for regular 256-APSK. Moreover, higher-order regular M-APSK is secure for longer distances and higher values of mean number of photons pe
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Sánchez Galiano, Juan Carlos, Jairo Casares Blanco, Patricia Fernández Aracil, and Armando Ortuño Padilla. "A CASE STUDY OF IDENTIFY IMPORTANCE OF LAND USE PLANNING IN ROAD SAFETY, BENIDORM." In CIT2016. Congreso de Ingeniería del Transporte. Universitat Politècnica València, 2016. http://dx.doi.org/10.4995/cit2016.2016.3429.

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This research analyses how urban form, land use and urban density, may influence the incidence of traffic-related crashes injuries and deaths. It begins with a theoretical overview of studies which deal with the study of the relationship between urban patterns and road safety. Next, it details the development of a database of crash incidence and urban form at the district level for the city of Benidorm (Alicante, Spain) in 2010. Subsequently, it is developed a negative binomial approach for intra-city motor vehicle crash analysis. One-year crash data for Benidorm (the fourth largest tourism de
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Reports on the topic "Binomial number system"

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Mathew, Sonu, Srinivas S. Pulugurtha, and Sarvani Duvvuri. Modeling and Predicting Geospatial Teen Crash Frequency. Mineta Transportation Institute, 2022. http://dx.doi.org/10.31979/mti.2022.2119.

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This research project 1) evaluates the effect of road network, demographic, and land use characteristics on road crashes involving teen drivers, and, 2) develops and compares the predictability of local and global regression models in estimating teen crash frequency. The team considered data for 201 spatially distributed road segments in Mecklenburg County, North Carolina, USA for the evaluation and obtained data related to teen crashes from the Highway Safety Information System (HSIS) database. The team extracted demographic and land use characteristics using two different buffer widths (0.25
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Skow, Jason. PR-719-223803-R01 API 1163 Performance Validation Guidelines. Pipeline Research Council International, Inc. (PRCI), 2023. http://dx.doi.org/10.55274/r0000021.

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The main purpose of this project is to provide technical guidance for the practical implementation of the measurement performance validation methodologies outlined in the API RP 1163 2021 Edi- tion (API 1163-2021), which include three levels of validation: Level 1: The vendor specification is used to define measurement performance with little or no field validation. This level typically applies to ILI systems that have been proven in the past on pipelines that have previous ILI baselines for comparison. Level 2: The vendor specification is tested against field-measured anomalies by calculating
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