Academic literature on the topic 'Numeration system'

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Journal articles on the topic "Numeration system":

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BELL, JASON, EMILIE CHARLIER, AVIEZRI S. FRAENKEL, and MICHEL RIGO. "A DECISION PROBLEM FOR ULTIMATELY PERIODIC SETS IN NONSTANDARD NUMERATION SYSTEMS." International Journal of Algebra and Computation 19, no. 06 (September 2009): 809–39. http://dx.doi.org/10.1142/s0218196709005330.

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Consider a nonstandard numeration system like the one built over the Fibonacci sequence where nonnegative integers are represented by words over {0,1} without two consecutive 1. Given a set X of integers such that the language of their greedy representations in this system is accepted by a finite automaton, we consider the problem of deciding whether or not X is a finite union of arithmetic progressions. We obtain a decision procedure for this problem, under some hypothesis about the considered numeration system. In a second part, we obtain an analogous decision result for a particular class of abstract numeration systems built on an infinite regular language.
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Uy, Frederick L. "The Chinese Numeration System and Place Value." Teaching Children Mathematics 9, no. 5 (January 2003): 243–47. http://dx.doi.org/10.5951/tcm.9.5.0243.

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Ichi, ni, san … Otu, abuo, ato… Eins, zwei, drei … Have you heard these words before? What might they mean? In case you are not familiar with these words, they mean “One, two, three…” in Japanese, Igbo, and German, respectively.
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BIAGUI, Noël Bernard. "La numération cardinale en créole casamançais : Emplois morphosyntaxiques et système de comptage de l’argent." ALTRALANG Journal 5, no. 01 (June 10, 2023): 128–51. http://dx.doi.org/10.52919/altralang.v5i01.266.

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The Cardinal Numeration in Casamance Creole: Morphosyntactic Uses and Money Counting System ABSTRACT: Even if more than 50% of its lexicon comes from Portuguese, the Casamance Creole is now an autonomous linguistic system. This autonomy is also manifested in the field of numeration. Like many African languages, the numeration of Casamance Creole is based on an oral basis due to the absence of writing. The presentation of the numeral system, of which we will make case, will be limited only to the presentation of the cardinal numbers and counting numeration. This study is part of the problem of numeration and languages with an oral tradition and is concerned with its importance in the achievements of the numeration of languages in contact. RÉSUMÉ : Même si plus de 50% de son lexique proviendrait du portugais, le créole casamançais à aujourd’hui un système linguistique autonome. Cette autonomie se manifeste aussi dans le domaine de la numération. A l’image de bon nombre de langues africaines, la numération du créole casamançais repose sur une base orale due à l’absence de l’écriture. La présentation du système numéral, dont nous ferons cas, se limitera uniquement à la présentation des nombres cardinaux et à la numération comptable. La présente étude s’inscrit dans la problématique de la numération et langues à tradition orale et se préoccupe de son importance dans les acquis de la numération des langues en contact.
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Sekido, Hiroto, and Masashi Iwasaki. "Integer representations in numeration system with Fibonacci squares." Research in Mathematics 9, no. 1 (May 3, 2022): 1–5. http://dx.doi.org/10.1080/27684830.2022.2069647.

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Charlier, Émilie, Marion Le Gonidec, and Michel Rigo. "Representing real numbers in a generalized numeration system." Journal of Computer and System Sciences 77, no. 4 (July 2011): 743–59. http://dx.doi.org/10.1016/j.jcss.2010.07.002.

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JUSTIN, JACQUES, and GIUSEPPE PIRILLO. "EPISTURMIAN WORDS: SHIFTS, MORPHISMS AND NUMERATION SYSTEMS." International Journal of Foundations of Computer Science 15, no. 02 (April 2004): 329–48. http://dx.doi.org/10.1142/s0129054104002455.

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Episturmian words, which include the Arnoux-Rauzy sequences, are infinite words on a finite alphabet generalizing the Sturmian words and sharing many of their same properties. This was studied in previous papers. Here we gain a deeper insight into these properties. This leads in particular to consider numerations systems similar to the Ostrowski ones and to give a matrix formula for computing the number of representations of an integer in such a system. We also obtain a complete answer to the question: if an episturmian word is morphic, which shifts of it, if any, also are morphic ?
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Sirvent, Víctor F. "Integer Semigroups Associated with Dumont-Thomas Numeration Systems." ISRN Combinatorics 2014 (January 23, 2014): 1–5. http://dx.doi.org/10.1155/2014/275260.

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Given a primitive substitution, we define different binary operations on infinite subsets of the nonnegative integers. These binary operations are defined with the help of the Dumont-Thomas numeration system; that is, a numeration system associated with the substitution. We give conditions for these semigroups to have an identity element. We show that they are not finitely generated. These semigroups define actions on the set of positive integers. We describe the orbits of these actions. We also estimate the density of these sets as subsets of the positive integers.
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Walmsley, Angela L. E. "Math Roots: Understanding Aztec and Mayan Numeration Systems." Mathematics Teaching in the Middle School 12, no. 1 (August 2006): 55–62. http://dx.doi.org/10.5951/mtms.12.1.0055.

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Numbers have been recorded in a variety of ways throughout time. For example, the Babylonians used marks pressed in clay; the Egyptians used papyrus and ink brushes to create tally marks; and the Maya introduced a symbol for zero (Billstein, Libeskind, and Lott 2001). All these ancient peoples used numerals, or written symbols, to express what they meant mathematically. They created their own numeration system, which is a collection of uniform symbols and properties to express numbers systematically. The Hindu- Arabic system is one such numeration method; however, understanding others can reveal to students that our current system finds its roots in what has come before.
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Overbay, Shannon R., and Mary Jean Brod. "Magic with Mayan Math." Mathematics Teaching in the Middle School 12, no. 6 (February 2007): 340–47. http://dx.doi.org/10.5951/mtms.12.6.0340.

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The ancient Mayan system of numeration is quite sophisticated, yet the basics are beautifully simple. It is an appealing system to teach to students of almost any age. Mayan numerals are composed of only three symbols, but with the power of place value and a symbol for zero, large numbers can be concisely written. With their interest in astronomy and the passage of time, the Maya (located in what is now Central America and Southern Mexico) developed accurate calendars using this numeration system. Mayan merchants often used cacao beans in making computations to keep track of their business transactions (Closs 1986).
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R. S. Gates, K. D. Casey, H. Xin, E. F. Wheeler, and J. D. Simmons. "FAN ASSESSMENT NUMERATION SYSTEM (FANS) DESIGN AND CALIBRATION SPECIFICATIONS." Transactions of the ASAE 47, no. 5 (2004): 1709–15. http://dx.doi.org/10.13031/2013.17613.

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Dissertations / Theses on the topic "Numeration system":

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Edson, Marcia Ruth Zamboni Luca Quardo. "Around the Fibonacci numeration system." [Denton, Tex.] : University of North Texas, 2007. http://digital.library.unt.edu/permalink/meta-dc-3676.

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Edson, Marcia Ruth. "Around the Fibonacci Numeration System." Thesis, University of North Texas, 2007. https://digital.library.unt.edu/ark:/67531/metadc3676/.

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Let 1, 2, 3, 5, 8, … denote the Fibonacci sequence beginning with 1 and 2, and then setting each subsequent number to the sum of the two previous ones. Every positive integer n can be expressed as a sum of distinct Fibonacci numbers in one or more ways. Setting R(n) to be the number of ways n can be written as a sum of distinct Fibonacci numbers, we exhibit certain regularity properties of R(n), one of which is connected to the Euler φ-function. In addition, using a theorem of Fine and Wilf, we give a formula for R(n) in terms of binomial coefficients modulo two.
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Morello, Gabriela Munhoz. "INFLUENCE OF FAN OPERATION ON FAN ASSESSMENT NUMERATION SYSTEM (FANS) TEST RESULTS." UKnowledge, 2011. http://uknowledge.uky.edu/gradschool_theses/153.

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The use of velocity traverses to measure in-situ air flow rate of ventilation fans can be subject to significant errors. The Fan Assessment Numeration System (FANS) was developed by the USD-ARS Southern Poultry Research Laboratory and refined at the University of Kentucky to measure air flow of fans in-situ. The procedures for using the FANS unit to test fans in-situ are not completely standardized. This study evaluated the effect of operating fan positions relative to the FANS unit for ten 1.22 m diameter fans in two types of poultry barns, with fans placed immediately next to each other and 1.6 m apart. Fans were tested with the FANS unit placed near both the intake and discharge sides of the tested fans. Data were analyzed as two Generalized Randomized Complete Block designs (GRCB), with a 2 (FANS inside or outside) x 6 (operating fan combinations) factorial arrangement of treatments. Results showed significant differences as much as 12.6 ± 4.4% between air flow values obtained under conditions of different operating fan combinations. Placing the FANS unit outside provided valid fan test results. A standardized procedure for using the FANS unit to test fans in-situ was elaborated and presented in this work.
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Lopes, Igor Moreira. "EVALUATION OF TRANSITIONS FOR TESTING AGRICULTURAL VENTILATION FANS WITH THE FAN ASSESSMENT NUMERATION SYSTEM (FANS)." UKnowledge, 2012. http://uknowledge.uky.edu/bae_etds/8.

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The Fan Assessment Numeration System (FANS) is an improved air velocity traverse method for measuring in situ fan performance. The FANS has been widely used, but variations of its test procedure are commonly employed to accommodate physical or operational barriers encountered in the field. This laboratory study evaluated the use of transitions to connect a 1.37m FANS unit to two smaller fans (1.22m and 0.91m diameter) and one 1.37m diameter fan. Tests were conducted with the FANS unit positioned on both intake and discharge sides of the fans. Three different transition angles (30o, 45o and 60o) and the use of no transition were evaluated. Discharge tests were also performed with no enclosed connection between FANS and fan housings. A different experiment was conducted for each fan size. Data was analyzed by comparing test results to the control with Dunnett’s procedure. Results showed significant differences as much as 5.3% ± 1.20% for intake treatments, 17.2% ± 3.04% for sealed discharge treatments and 37.1% ± 12.24% for discharge treatments with no enclosed connection. All transition angles produced similar fan test results. Differences between test results from the discharge and control treatments increased as differences between FANS and fan dimensions increased.
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范世鳴 and Sai-ming Fan. "On m-arrays and M-arrays." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31207248.

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Montalvo, Luis Anibal. "Systèmes de numération pour la conception de diviseurs rapides." Grenoble INPG, 1995. http://www.theses.fr/1995INPG0045.

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Le but de cette these est de developper un algorithme de division en virgule fixe, efficace, oriente implantation materielle, pour operer sur des mantisses normalisees d'apres la norme des operations arithmetiques en virgule flottante ieee-754. L'efficacite de cet algorithme est due a l'utilisation d'une addition/soustraction hybride et d'une fonction de choix du quotient tres simple. L'addition/soustraction hybride s'effectue sans propagation de retenue et donc elle est rapide. Le choix du chiffre du quotient est realise en deux pas. Dans le premier pas, sous certaines conditions, les deux chiffres les plus significatifs du reste partiel sont remplaces par des chiffres equivalents. Dans le deuxieme pas, le chiffre le plus significatif de ce nouveau reste est pris comme chiffre du quotient. L'algorithme est nomme division de svoboda-tung modifiee (mst). Mst est valable pour une base entiere positive quelconque et il est facile a implanter en materiel. Mst demande que le diviseur soit de la forme y = 1+, ou est une fraction qui depend de: (1) la base, (2) le jeu des chiffres utilise pour representer le reste partiel et (3) les conditions de reecriture du reste partiel. Pour limiter l'impact de l'echelonnement necessaire du diviseur sur le temps d'execution de mst, une methode simple a ete developpee. Elle consiste en la multiplication des deux operandes par une approximation a pas du reciproque du diviseur. Puisque le reste partiel et le quotient sont en notation en chiffres signes, des mecanismes efficaces pour convertir de la notation conventionnelle vers la notation en chiffre signes et vice versa ont aussi ete concus. Finalement, l'efficacite de mst est demontree dans l'implantation cmos d'un diviseur ieee-std, en virgule fixe, pour le jeu de chiffres redondant minimum en base 4. Les resultats montrent que ce diviseur est plus efficace que plusieurs diviseurs existants
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Nguema, Ndong Florent. "Étude de la dynamique symbolique des développements en base négative, système de Lyndon." Thesis, Poitiers, 2013. http://www.theses.fr/2013POIT2276/document.

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Ce travail est consacré à l'étude de systèmes de Lyndon (pour la relation d'ordre alterné) et àla dynamique symbolique des développements des nombres en base négative. Pour un réel ß > 1fixé, nous construisons un code préfixe récurrent positif permettant non seulement de montrerl'intrinsèque ergodicité du —ß-shift mais aussi de déterminer la fonction zêta qui lui est associée.Nous étudions les conditions pour lesquelles le —ß-shift possède la spécification.En outre, lorsque ß est strictement plus petit que le nombre d'or, le langage du —ß-shift admet desmots intransitifs. Cet état de fait engendre dans le système dynamique des cylindres négligeablespar rapport à la mesure d'entropie maximale. Ces cylindres génèrent sur Iß=[—ß/(ß+1),1/(ß+1)[ depetits intervalles de mesure nulle (la mesure considérée étant l'unique mesure ergodique sur Iß).Nous en faisons une étude détaillée, en particulier nous déterminons ces intervalles "trous".Par ailleurs, nous étudions l'unicité des systèmes de numération des entiers relatifs en base négative et nous montrons qu'à chaque mot de Lyndon correspond un tel système
This work deals with the study of the Lyndon systems (for alternate order) and the symbolicdynamics of the expansions of real numbers in negative base. For a given real ß > 1, we showthe intrinsic ergodicity of the —ß-shift using a positive recurring prefix code and we determine theassociated zeta function. We study the conditions for which the —ß-shift admits the specificationproperty.Moreover, when ß is less than golden ratio, the language of the —ß-shift contains intransitive words.These words lead to some cylinders negligible with respect to the measure with maximal entropy.In the interval Iß=[—ß/(ß+1),1/(ß+1)[, these cylinders correspond to some gaps: small interval withmeasure zero (with respect to the unique ergodic measure on Iß). We make a detailed study ofthese gaps.Otherwise, we study the uniqueness of the number systems of integers in negative base and weshow that to each Lyndon word corresponds to a such system
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Hollander, Michael Israel. "Linear numeration systems, finite beta expansions, and discrete spectrum of substitution dynamical systems /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/5747.

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Eraso, Natalia. "Gramática tanimuka, una lengua de la Amazonía colombiana." Thesis, Lyon 2, 2015. http://www.theses.fr/2015LYO20076/document.

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Cette grammaire du tanimuka, langue tucano d’Amazonie colombienne, s’organise en quatre parties. La première partie, ‘le tanimuka : la langue et ses locuteurs’, est divisée en trois chapitres (1 à 3), qui établissent le profil sociolinguistique de la langue, et décrivent les conditions d’enquête de terrain. La deuxième partie, divisée en deux chapitres (5 et 6), présente une description de la phonologie et morphophonologie de la langue, avec une description du phénomène d’épenthèse syllabique dans le verbe. La troisième partie (chapitres 7 et 8) présente d’abord une étude générale de la grammaire au niveau morphosyntaxique et syntaxique, puis une étude thématique approfondie des systèmes de classification nominale : genre et classificateurs numéraux. La quatrième partie, divisée en trois chapitres (9 à 11), se concentre sur le domaine de l’expression spatiale, omniprésente dans la langue. Le premier chapitre présente l’inventaire de tous les éléments de l’expression spatiale de la langue. Le deuxième décrit le fonctionnement des verbes de postures et des positionnels dans les constructions locatives de base de prédicats de base simple ou complexe (séries verbales). Le troisième est dédié à l’étude de l’expression de la trajectoire. La thèse se termine par trois annexes : une présentation des stimuli visuels créés pour les enquêtes sur les verbes locatifs de posture et les positionnels, une étude sur le système de numération traditionnel du tanimuka, et la transcription d’une histoire de tradition orale ‘La tortue de terre Parekika’, glosée et traduite
This grammar of Tanimuka, a Tucanoan language of the Colombian Amazonian area, is organized in four parts. The first part, ‘Tanimuka : the language and its speakers’, is divided into three chapters (1 to 3), which establish the sociolinguistic profile of the language and describe the fieldwork conditions. The second part, divided into two chapters (5 and 6), presents a description of the phonology and morphophonology of the language, with a study of the phenomenon of syllabic epenthesis in the verb. The third part (chapters 7 and 8) begins with a general study of the morphosyntactic and syntactic levels, followed by an in-depth study of the noun classification systems: gender and numeral classifier. The fourth part (chapters 9 to 11) focuses on the expression of space, omnipresent in the language. The first chapter presents an inventory of all the elements that express the domain of space in the language. The second provides a detailed analysis of postures and positional verbs in basic locative construction of simple or complex predicates (serial verb constructions). The final chapter is dedicated to the study of the expression of the Trajectory category. The dissertation ends with three annexes, which present, in turn, the visual stimuli created for the investigation of locative verbs of posture and position, a study of the traditional system of numeration and the transcription of a history of oral tradition: 'The tortoise Parekika', glossed and translated
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Fasteen, Jodi I. "An Investigation of the Role of Alternate Numeration Systems in Preservice Teacher Mathematics Content Courses." PDXScholar, 2015. https://pdxscholar.library.pdx.edu/open_access_etds/2314.

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Alternate numeration systems are common in preservice teacher (PST) mathematics curricula, but there is limited research on how to leverage alternate systems to promote the development of mathematical knowledge for teaching. I analyzed the role of alternate numeration systems in three ways. I conducted a thematic analysis of current PST textbooks to consider the role of alternate numeration systems in written curricula. I conducted a teaching experiment to analyze PSTs' mathematical activity as they engaged with a base five task sequence to reinvent an algorithm for multiplication. And I introduced problematizing mathematical contexts as a design heuristic, situating this within the design theory of Realistic Mathematics Education. I found that alternate numeration systems can be leveraged to create opportunities for PSTs to (a) engage in guided reinvention of an algorithm, (b) improve understanding of base ten by comparing it to other numeration systems, and (c) reflect on their learning experience and the learning experiences of children.

Books on the topic "Numeration system":

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Paz, Naomi. At the hardware store: Understand place value. New York: PowerKids Press, 2013.

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Lóńgẹ́, Olú. The Yorùbá ancient, traditional number system and a Yorùbá New decimal number system: Ancient éwá ogún ibga egbewa egbaáwá òké, New-Decimal ewa-alagbára / Olu Longe. Ibadan: Origination Concepts, 2016.

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ill, Browne Rob, ed. Hands on base ten blocks: Problem-solving activities. Chicago, IL: Wright Group/McGraw-Hill, 1986.

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Day, Amelia. Olivia's ocean adventure: Understand place value. New York: PowerKids Press, 2014.

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Goodnow, Judy. Cooperative problem solving with base ten blocks. Sunnyvale, Calif: Creative Publications, 1991.

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Rigo, Michel. Formal Languages, Automata and Numeration Systems 1. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2014. http://dx.doi.org/10.1002/9781119008200.

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Rigo, Michel. Formal Languages, Automata and Numeration Systems 2. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2014. http://dx.doi.org/10.1002/9781119042853.

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Seiler, Hansjakob. A dimensional view on numeral systems. Köln: Institut für Sprachwissenschaft, Universität zu Köln, 1989.

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Mimica, Jadran. Intimations of infinity: Cultural meanings of the Iqwaye counting system and number. Oxford: Berg, 1992.

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Mimica, Jadran. Intimations of infinity: The mythopoeia of the Iqwaye counting system and number. Oxford [England]: Berg, 1988.

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Book chapters on the topic "Numeration system":

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Weik, Martin H. "numeration system." In Computer Science and Communications Dictionary, 1123. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_12613.

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Weik, Martin H. "hexadecimal numeration system." In Computer Science and Communications Dictionary, 722. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_8337.

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Weik, Martin H. "octal numeration system." In Computer Science and Communications Dictionary, 1133. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_12695.

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Weik, Martin H. "positional numeration system." In Computer Science and Communications Dictionary, 1302. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_14323.

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Weik, Martin H. "radix numeration system." In Computer Science and Communications Dictionary, 1409. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_15431.

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Weik, Martin H. "binary numeration system." In Computer Science and Communications Dictionary, 120. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_1549.

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Weik, Martin H. "decimal numeration system." In Computer Science and Communications Dictionary, 369. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_4500.

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Weik, Martin H. "straight binary numeration system." In Computer Science and Communications Dictionary, 1674. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_18365.

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Weik, Martin H. "fixed-radix numeration system." In Computer Science and Communications Dictionary, 615. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_7261.

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Weik, Martin H. "mixed-base numeration system." In Computer Science and Communications Dictionary, 1024. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_11606.

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Conference papers on the topic "Numeration system":

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Michael P Sama, Richard S Gates, Will C Adams, George B Day, and Carl L King. "Fan Assessment Numeration System (FANS) Scaling and Upgrades." In 2008 Providence, Rhode Island, June 29 - July 2, 2008. St. Joseph, MI: American Society of Agricultural and Biological Engineers, 2008. http://dx.doi.org/10.13031/2013.24990.

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R. S. Gates, J. D. Simmons, K. D. Casey, T. J. Greis, H. Xin, E. F. Wheeler, and C. L. King and J. R. Barnett. "Fan Assessment Numeration System (FANS) Design and Calibration Specifications." In 2002 Chicago, IL July 28-31, 2002. St. Joseph, MI: American Society of Agricultural and Biological Engineers, 2002. http://dx.doi.org/10.13031/2013.9383.

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Michael P Sama, Gabriela M Morello, Igor M Lopes, George B Day, and Douglas G Overhults. "Visualizing Airflow Using the Fan Assessment Numeration System (FANS)." In 2012 Dallas, Texas, July 29 - August 1, 2012. St. Joseph, MI: American Society of Agricultural and Biological Engineers, 2012. http://dx.doi.org/10.13031/2013.41843.

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William S Sympson and Michael P Sama. "Cost Reduction of the Fan Assessment Numeration System through Data Analysis." In 2013 Kansas City, Missouri, July 21 - July 24, 2013. St. Joseph, MI: American Society of Agricultural and Biological Engineers, 2013. http://dx.doi.org/10.13031/aim.20131618881.

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Gabriela M Morello, Douglas G Overhults, Igor M Lopes, John W Earnst Jr., Richard S Gates, Anthony J Pescatore, Jacquie P Jacob, and Melissa Miller. "Influence of Fan Operations on FANS (Fan Assessment Numeration System) Test Results." In 2010 Pittsburgh, Pennsylvania, June 20 - June 23, 2010. St. Joseph, MI: American Society of Agricultural and Biological Engineers, 2010. http://dx.doi.org/10.13031/2013.32048.

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Alapati, Madhu sravya, Raghunandan Swain, and Asisa Kumar Panigrahy. "Hardware Implementation of Posit Numeration System using FPGA for Signal Processing Applications." In 2023 7th International Conference on Trends in Electronics and Informatics (ICOEI). IEEE, 2023. http://dx.doi.org/10.1109/icoei56765.2023.10125920.

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Michael P Sama, Laura Pepple, George B Day V., Douglas G Overhults, Gabriela M Morello, Igor M Lopes, John Earnest, Kenneth D Casey, and Richard S Gates. "Calibration Drift Assessment and Upgrades to the Fan Assessment Numeration System (FANS)." In 2012 Dallas, Texas, July 29 - August 1, 2012. St. Joseph, MI: American Society of Agricultural and Biological Engineers, 2012. http://dx.doi.org/10.13031/2013.42165.

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Anisimov, Anatoly V., and Igor O. Zavadskyi. "Forward error correcting codes by means of the two-base (2,3)-numeration system." In 2014 IEEE International Black Sea Conference on Communications and Networking (BlackSeaCom). IEEE, 2014. http://dx.doi.org/10.1109/blackseacom.2014.6849015.

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Xiong, Jishi, Wu Chongjian, Xu Zhiyun, and Gewei Zeng. "Near-field sound radiation numeration in wave superposition method based on the spatially digital space." In 2010 International Conference on Computer Application and System Modeling (ICCASM 2010). IEEE, 2010. http://dx.doi.org/10.1109/iccasm.2010.5620608.

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Chunikhin, Alexander. "Semantic Numeration Systems as Information Tools." In IS4SI 2021. Basel Switzerland: MDPI, 2022. http://dx.doi.org/10.3390/proceedings2022081023.

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Reports on the topic "Numeration system":

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Fasteen, Jodi. An Investigation of the Role of Alternate Numeration Systems in Preservice Teacher Mathematics Content Courses. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.2311.

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