Relevant bibliographies by topics / Linear recurrence

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Linear recurrence'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 April 2022

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Journal articles on the topic "Linear recurrence"

1

Crampin, Mike. "Piecewise Linear Recurrence Relations." Mathematical Gazette 76, no. 477 (1992): 355. http://dx.doi.org/10.2307/3618372.

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Cha, Yongjae, Mark van Hoeij, and Giles Levy. "Solving linear recurrence equations." ACM Communications in Computer Algebra 44, no. 3/4 (2011): 183–85. http://dx.doi.org/10.1145/1940475.1940515.

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Blasius, A. "A linear recurrence system." Proceedings of the American Mathematical Society 121, no. 4 (1994): 1003. http://dx.doi.org/10.1090/s0002-9939-1994-1249870-5.

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Van der Vorst, H. A., and K. Dekker. "Vectorization of Linear Recurrence Relations." SIAM Journal on Scientific and Statistical Computing 10, no. 1 (1989): 27–35. http://dx.doi.org/10.1137/0910003.

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Dubickas, Artūras, and Aivaras Novikas. "Linear recurrence sequences without zeros." Czechoslovak Mathematical Journal 64, no. 3 (2014): 857–65. http://dx.doi.org/10.1007/s10587-014-0138-1.

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Cilleruelo, Javier, Rafael Tesoro, and Florian Luca. "Palindromes in linear recurrence sequences." Monatshefte für Mathematik 171, no. 3-4 (2013): 433–42. http://dx.doi.org/10.1007/s00605-013-0477-2.

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Schlickewei, Hans Peter, Wolfgang M. Schmidt, and Michel Waldschmidt. "Zeros of linear recurrence sequences." manuscripta mathematica 98, no. 2 (1999): 225–41. http://dx.doi.org/10.1007/s002290050136.

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Withers, Christopher S., and Saralees Nadarajah. "Solutions of linear recurrence equations." Applied Mathematics and Computation 271 (November 2015): 768–76. http://dx.doi.org/10.1016/j.amc.2015.09.079.

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Edelman, Paul, Takayuki Hibi, and Richard P. Stanley. "A recurrence for linear extensions." Order 6, no. 1 (1989): 15–18. http://dx.doi.org/10.1007/bf00341632.

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Rasouli, Hossein, Sadegh Abbaszadeh, and Madjid Eshaghi. "Approximately linear recurrences." Journal of Applied Analysis 24, no. 1 (2018): 81–85. http://dx.doi.org/10.1515/jaa-2018-0008.

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Dissertations / Theses on the topic "Linear recurrence"

1

Puig, de Dios Yunied. "Recurrence in Linear Dynamics." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/48473.

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A bounded and linear operator is said to be hypercyclic if there exists a vector such that its orbit under the action of the operator is dense. The first example of a hypercyclic operator on a Banach space was given in 1969 by Rolewicz who showed that if B is the unweighted unilateral backward shift on l 2 , then λB is hypercyclic if and only if |λ| > 1. Among its features, we can mention for example that finite-dimensional spaces cannot support hypercyclic operators, proved by Kitai. On the other hand, several people have shown in different contexts, in the Hilbert space frame, that the set of hypercyclic vectors for a hypercyclic operator is a Gδ dense set. This thesis is divided into four chapters. In the first one, we give some preliminaries by mentioning some definitions and known results that will be of great help later. In chapter 2, we introduce a refinement of the notion of hypercyclicity, relative to the set N(U, V ) = {n ∈ N : T −nU ∩ V 6= ∅} when belonging to a certain collection F of subsets of N, namely a bounded and linear operator T is called F-operator if N(U, V ) ∈ F, for any pair of non-empty open sets U, V in X. First, we do an analysis of the hierarchy established between F-operators, whenever F covers those families mostly studied in Ramsey theory. Second, we investigate which kind of properties of density can have the sets N(x, U) = {n ∈ N : T nx ∈ U} and N(U, V ) for a given hypercyclic operator, and classify the hypercyclic operators accordingly to these properties. In chapter three, we introduce the following notion: an operator T on X satisfies property PF if for any U non-empty open set in X, there exists x ∈ X such that N(x, U) ∈ F. Let BD the collection of sets in N with positive upper Banach density. We generalize the main result of a paper due to Costakis and Parissis using a strong result of Bergelson and Mccutcheon in the vein of Szemerédi’s theorem, leading us to a characterization of those operators satisfying property PBD. It turns out that operators having property PBD satisfy a kind of recurrence described in terms of essential idempotents of βN (the Stone-Čech compactification of N). We will discuss the case of weighted backward shifts satisfying property PBD. On the other hand, as a consequence we obtain a characterization of reiteratively hypercyclic operators, i.e. operators for which there exists x ∈ X such that for any U non-empty open set in X, the set N(x, U) ∈ BD. The fourth chapter focuses on a refinement of the notion of disjoint hypercyclicity. We extend a result of Bès, Martin, Peris and Shkarin by stating: Bw is F-weighted backward shift if and only if (Bw, . . . , Br w) is d-F, for any r ∈ N, where F runs along some filters containing strictly the family of cofi- nite sets, which are frequently used in Ramsey theory. On the other hand, we point out that this phenomenon does not occur beyond the weighted shift frame by showing a mixing linear operator T on a Hilbert space such that the tuple (T, T2 ) is not d-syndetic. We also, investigate the relationship between reiteratively hypercyclic operators and d-F tuples, for filters F contained in the family of syndetic sets. Finally, we examine conditions to impose in order to get reiterative hypercyclicity from syndeticity in the weighted shift frame.<br>Puig De Dios, Y. (2014). Recurrence in Linear Dynamics [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/48473<br>TESIS
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Allen, Patrick. "Multiplicities of Linear Recurrence Sequences." Thesis, University of Waterloo, 2006. http://hdl.handle.net/10012/2942.

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In this report we give an overview of some of the major results concerning the multiplicities of linear recurrence sequences. We first investigate binary recurrence sequences where we exhibit a result due to Beukers and a result due to Brindza, Pint&eacute;r and Schmidt. We then investigate ternary recurrences and exhibit a result due to Beukers building on work of Beukers and Tijdeman. The last two chapters deal with a very important result due to Schmidt in which we bound the zero-multiplicity of a linear recurrence sequence of order <em>t</em> by a function involving <em>t</em> alone. Moreover we improve on Schmidt's bound by making some minor changes to his argument.
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Šiurys, Jonas. "Linear recurrence sequences of composite numbers." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2013. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2013~D_20131015_155936-95267.

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The main objects studied in this thesis are linear recurrence sequences of composite numbers. We have studied the second order (binary) linear recurrence, tribonacci – like and higher order sequences. Many examples have been given.<br>Disertacijoje nagrinėjamos tiesinės rekurenčiosios sekos. Ieškoma tokių pradinių narių, kurie generuotų rekurenčiąsias sekas sudarytas iš sudėtinių skaičių. Pilnai išnagrinėtos antros eilės tiesinės rekurenčiosos ir tribonačio tipo sekos, patiekiami pavyzdžiai. Gauti rezultatai ir k-bonačio tipo sekoms.
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Veerapen, Parmaseeven Pillay. "Recurrence relationships and model monitoring for Dynamic Linear Models." Thesis, University of Warwick, 1991. http://wrap.warwick.ac.uk/109386/.

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This thesis considers the incorporation and deletion of information in Dynamic Linear Models together with the detection of model changes and unusual values. General results are derived for the Normal Dynamic Linear Model which naturally also relate to second order modelling such as occurs with the Kalman Filter, linear least squares and linear Bayes estimation. The incorporation of new information, the assessment of its influence and the deletion of old or suspect information are important features of all sequential models. Many dynamic sequential models exhibit conditioned, independence properties. Important results concerning conditional independence in normal models are established which provide the framework and the tools necessary to develop neat procedures and to obtain appropriate recurrence relationships for data incorporation and deletion. These are demonstrated in the context of dynamic linear models, with particularly simple procedures for discount regression models. Appropriate model and forecast monitoring mechanisms are required to detect model changes and unusual values. Cumulative Sum (Cusum) techniques widely used in quality control and in model and forecast monitoring have been the source of inspiration in this context. Bearing in mind that a single sided Cusum may be regarded essentially as a sequence of sequential tests, such a Cusum is, in many cases, equivalent to a Sequence of Sequential Probability Ratio Tests in many cases, as for example in the case of the Exponential Family. A relationship between Cusums and Bayesian decision is established for a useful class of linear loss functions. It is found to apply to the Normal and other important practical cases. For V- mask Cusum graphs, a particularly interesting result which emerges is the interpretation of the distance of the V vertex from the latest plotted point as the prior precision in terms of a number of equivalent observations.
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Abud, Celso Vieira [UNESP]. "Propriedades de tranporte, caos e dissipação num sistema dinâmico não linear." Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/91910.

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Made available in DSpace on 2014-06-11T19:25:31Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-02-19Bitstream added on 2014-06-13T20:53:31Z : No. of bitstreams: 1 abud_cv_me_rcla.pdf: 2091525 bytes, checksum: f8a3b24150a2a718ad53ff294a3c6844 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)<br>Procuramos nesta dissertação, entender e desenvolver estudos relacionados com o movimento de trajetórias caóticas num sistema dinâmico não linear. Esses estudos, envolvem uma abordagem sobre a quantificação de recorrências de trajetórias a uma região e sobre o transporte no espaço de fases. Nós escolhemos como modelo o bilhar anular em duas configurações: primeiramente com as fronteiras estáticas e posteriormente, uma dependência temporal (pulsante) e introduzida. Inicialmente reproduzimos os resultados sobre aprisionamentos para caso do bilhar estático, existentes na literatura, a fim de ganharmos experiência para estudar o sistema pulsante. Nesse caso, a topologia dos dois planos de fases possíveis constituídos de variáveis canônicas, apesar de bastante complexas, apresentaram resultados interessantes. Os principais resultados obtidos foram: a observação de regiões de aprisionamentos nos dois planos de fases conectadas entre si; a aceleração de Fermi caracterizada por vários regimes anômalos; ( uma explicação para a diferença desses regimes e dada por aprisionamentos no plano do bilhar) e a evolução do espaço de fases, dito geométrico, que tende a se recuperar conforme a velocidade relativa partícula-fronteira aumenta. Estudamos ainda os efeitos de dissipação no sistema pulsante através de colisões inelásticas. Os resultados indicam que qualquer dissipação desse tipo, independente da magnitude, é suficiente para saturar o crescimento de energia. Porém, em situações especiais essa mesma dissipação pode ser usada para que na média o sistema ganhe energia.<br>We reach in this dissertation, understand and develop studies related to the motion of the chaotic trajectories in a non-linear dynamical system. These studies require an approach on the quanti cation of the recurrences of trajectories to a region and on the transport in the phase space. We choose as a model the annular billiard with two con gurations: rstly with the static boundaries and next, a time-dependent (pulsating)is introduced. Initially we reproduced some results about stickiness in the static case in order to gain experience to study the pulsating system. In such case the topology of the two possible phase space of canonical variables, showed interesting results. The main results were: the observation of sticky regions in both connected phase spaces; the Fermi acceleration characterized by di erent anomalous regimes ( an explanation to this diferent regimes is given by the stickiness on the billiard plane) and the evolution of the phase space, called geometric, which tends to be recovered as the relative velocity particle-boundary increases. We also studied the e ects of dissipation in the pulsating system through inelastic collisions. The results show that this kind of dissipation, regardless of its magnitude, is enough to saturate the energy growth. However, in special situations the mean average of the system can increase with the introduction of inelastic collisions.
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Dini, Jamal. "Sur les formes linéaires et les polynômes orthogonaux de Laguerre-Hann." Paris 6, 1988. http://www.theses.fr/1988PA066201.

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Le caractere semi-classique ou laguerre-hahn d'une forme lineaire reguliere reste stable par la multiplication par un polynome ou par adjonction d'une masse de dirac. La suite associee d'une suite de polynomes semi-classiques est de laguerre-hahn. Ces diverses operations permettent de generer d'autres suites orthogonales dont on etudie les proprietes. On donne aussi diverses caracterisations des polynomes de laguerre-hahn
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Kirlar, Baris Bulent. "Elliptic Curve Pairing-based Cryptography." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612613/index.pdf.

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In this thesis, we explore the pairing-based cryptography on elliptic curves from the theoretical and implementation point of view. In this respect, we first study so-called pairing-friendly elliptic curves used in pairing-based cryptography. We classify these curves according to their construction methods and study them in details. Inspired of the work of Koblitz and Menezes, we study the elliptic curves in the form $y^{2}=x^{3}-c$ over the prime field $F_{q}$ and compute explicitly the number of points $#E(mathbb{F}_{q})$. In particular, we show that the elliptic curve $y^{2}=x^{3}-1$ over $mathbb{F}_{q}$ for the primes $q$ of the form $27A^{2}+1$ has an embedding degree $k=1$ and belongs to Scott-Barreto families in our classification. Finally, we give examples of those primes $q$ for which the security level of the pairing-based cryptographic protocols on the curve $y^{2}=x^{3}-1$ over $mathbb{F}_{q}$ is equivalent to 128-, 192-, or 256-bit AES keys. From the implementation point of view, it is well-known that one of the most important part of the pairing computation is final exponentiation. In this respect, we show explicitly how the final exponentiation is related to the linear recurrence relations. In particular, this correspondence gives that finding an algoritm to compute final exponentiation is equivalent to finding an algorithm to compute the $m$-th term of the associated linear recurrence relation. Furthermore, we list all those work studied in the literature so far and point out how the associated linear recurrence computed efficiently.
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Smaïli, Nasser-Eddine. "Les polynômes e-semi-classiques de classe zéro." Paris 6, 1987. http://www.theses.fr/1987PA066081.

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Svanström, Fredrik. "Properties of a generalized Arnold’s discrete cat map." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-35209.

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After reviewing some properties of the two dimensional hyperbolic toral automorphism called Arnold's discrete cat map, including its generalizations with matrices having positive unit determinant, this thesis contains a definition of a novel cat map where the elements of the matrix are found in the sequence of Pell numbers. This mapping is therefore denoted as Pell's cat map. The main result of this thesis is a theorem determining the upper bound for the minimal period of Pell's cat map. From numerical results four conjectures regarding properties of Pell's cat map are also stated. A brief exposition of some applications of Arnold's discrete cat map is found in the last part of the thesis.
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Fransson, Linnea. "Tribonacci Cat Map : A discrete chaotic mapping with Tribonacci matrix." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-104706.

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Based on the generating matrix to the Tribonacci sequence, the Tribonacci cat map is a discrete chaotic dynamical system, similar to Arnold's discrete cat map, but on three dimensional space. In this thesis, this new mapping is introduced and the properties of its matrix are presented. The main results of the investigation prove how the size of the domain of the map affects its period and explore the orbit lengths of non-trivial points. Different upper bounds to the map are studied and proved, and a conjecture based on numerical calculations is proposed. The Tribonacci cat map is used for applications such as 3D image encryption and colour encryption. In the latter case, the results provided by the mapping are compared to those from a generalised form of the map.
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Books on the topic "Linear recurrence"

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Veerapen, Parmaseeven Pillay. Recurrence relationships and model monitoring for dynamic linear models. typescript, 1991.

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Ballot, Christian. Density of prime divisors of linear recurrences. American Mathematical Society, 1995.

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Cui, Zhao, Neil Turner, and Ming-hui Zhao. Alport post-transplant antiglomerular basement membrane disease. Edited by Neil Turner. Oxford University Press, 2015. http://dx.doi.org/10.1093/med/9780199592548.003.0075.

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Alport antiglomerular basement membrane (anti-GBM) disease is a rare example of disease caused by allo-sensitization after renal transplantation, first described in 1992. Because the recipient lacks a specific glomerular basement membrane (GBM) protein, they can become sensitized to the normal molecule present in the GBM of the donor kidney. The disease is restricted to the allograft. Interestingly severe disease arises from this only arises rarely, certainly less than 1 in 20, probably closer to 1 in 50. It characteristically causes late graft loss in a first transplant with accelerated tempo in later allografts, and in its most extreme form recurs within days. However, inexplicably some subsequent transplants do not provoke aggressive recurrence. Treatment of the most aggressive disease is difficult and in most cases has been ultimately unsuccessful. Lower levels of immune response, marked by linear binding of immunoglobulin-G to GBM without glomerular disease, are not uncommon in Alport patients after transplantation and should not lead to altered treatment. Immunoassays for anti-GBM antibodies can be misleading as in most cases the target of antibodies is the α‎‎‎5 chain of type IV collagen, rather than the α‎‎‎3 chain which is the target in spontaneous anti-GBM disease. Overall the outcome of transplantation in Alport syndrome is better than average. This complication is more likely in patients with partial or total gene deletion rather than point mutations, but no other predictive features have been identified.
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Mandala, Elias. Food, Time, and History. Edited by Jeffrey M. Pilcher. Oxford University Press, 2012. http://dx.doi.org/10.1093/oxfordhb/9780199729937.013.0020.

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In the African countryside, food has a social biography which is both linear and cyclical. According to the golden-age theory, every member of the community deserves access to food, while the alternative perspective argues that not all members enjoy those rights. Both theories fall within what Stephen J. Gould called "time's cycle" or "the intelligibility of timeless order and lawlike structure." As components of time's cycle, the alternative vision and the golden-age theory address the problem of order and represent peasants' collective protest against what Mircea Eliade termed "terror of history," which refers to terrifying events such as famine. The linear nature of the social biography of food is part of Gould's "time's arrow." The old Mang'anja of Malawi referred to famine, a one-time event, as chaola, or moment of rottenness, which is different from recurrent hunger or njala. The history of Malawi's food system represents a story about irreversible change and about days and seasons.
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Tenney, James. The Chronological Development of Carl Ruggles’s Melodic Style. Edited by Larry Polansky, Lauren Pratt, Robert Wannamaker, and Michael Winter. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252038723.003.0008.

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James Tenney presents the results of some statistical analyses that he carried out with the aid of a computer to study the chronological development of Carl Ruggles's melodic style. Certain aspects of Ruggles's music—the general shape of the melodic lines, the ever-present dissonant sonorities—are so consistent throughout all of his compositions that they give an impression of singular stylistic homogeneity. Tenney's results suggest just the opposite conclusion—at least with respect to his melodic writing. He goes on to examine significant changes in Ruggles's melodic style that are manifested in three ways: a gradual shift in the distribution of interval frequencies; a more and more effective avoidance of early recurrences of pitch classes; and an increase in the frequency and proximity of dissonance relations within his melodic lines.
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Huntoon, Kristin, and J. Bradley Elder. High-Grade Gliomas. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780190696696.003.0001.

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Glioblastoma is the most common primary malignant brain tumor. This chapter discusses the clinical presentation and initial workup for a patient with a suspected glioblastoma, as well as the optimal treatment strategy and prognosis. Diagnosis is typically made using magnetic resonance imaging. Optimal treatment involves maximal safe surgical resection followed by adjuvant chemotherapy and radiation therapy. Surgical adjuncts including intraoperative imaging modalities and brain mapping techniques help improve neurologic morbidity associated with surgery. Despite maximal treatment, virtually all patients with glioblastoma will experience recurrence of their tumor and may be considered for clinical trials or second-line therapy. This chapter highlights important pearls associated with management of patients with glioblastoma and written for those who are interested in neuro-oncology, neurosurgery, and the field of brain tumors.
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Berry, Craig, and Michael Kenny. Ideology and the Intellectuals. Edited by Michael Freeden and Marc Stears. Oxford University Press, 2013. http://dx.doi.org/10.1093/oxfordhb/9780199585977.013.0015.

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The question of how intellectuals ought to relate to the ideological traditions of the political cultures of modern societies has been a recurrent theme of European social and political thought over the last two centuries. This chapter explores earlier traditions of European thinking, associated with the work of Karl Mannheim, Julien Benda, and Antonio Gramsci, which established the major lines of debate about the relationship of intellectuals to a sense of nationhood and the political traditions of the polities they inhabited. These ideas form the backdrop to the analysis of the drift towards post-national thinking among important groups of intellectual practitioners in the UK towards the end of the twentieth century. Cosmopolitan thinking, the article suggests, has tended to obscure the ideological character of the main lines of political thinking associated with globalization, and ensured that progressive intellectuals tended to abandon the ‘national-popular’ to their counterparts on the political right, with fateful consequences.
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Ball, Steve, and Sajid Kalathil. Adrenocortical cancer. Edited by James W. F. Catto. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780199659579.003.0094.

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Adrenocortical cancer (ACC) is rare and associated with poor prognosis. The incidence is estimated at 0.7–2 cases per one million. Overall survival rate at five years for ACC is 37–47%. While the pathogenesis of ACC is incompletely understood, inherited predisposition syndromes are common in childhood ACC. Clinical presentation can be with symptoms and signs of hormone excess (functional tumours), mass effects, or as an incidental radiological finding. A multidisciplinary approach combining radiology, biochemistry, and tissue-based pathology is needed to establish a diagnosis to guide a surgical approach aimed at complete resection of the tumour where possible. At present, recommended first-line therapies for advanced disease are mitotane monotherapy or etopiside, doxorubicin, and cisplatin plus mitotane. Metronomic capecitabine and gemcitabine have been used as alternatives. Adjuvant radiotherapy to the tumour bed should be considered for patients considered to be at high risk of recurrence.
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Eluri, Swathi. Catheter-Associated Infections. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780199976805.003.0020.

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Catheter-associated infections, which often present as sepsis, include primary bloodstream infections that occur in the presence of intravascular catheters. They are not related to an infection at another site and are defined as a primary bloodstream infection with documented colonization of the device and microbiologically proven, device-related bloodstream infection. Multiple hospitals have started to implement standardized quality control interventions to minimize catheter-related bloodstream infections. Ultrasound-guided line placement results in a decrease in mechanical complication and the number of attempts, which in turn reduces the risk of infection. Preparing the skin with 0.5% chlorhexidine or alcohol containing chlorhexidine solutions has been shown to reduce line-related infections. Antimicrobial lock solutions should be used in patients with recurrent catheter-associated infections and high-risk groups, such as those on total parenteral nutrition, dialysis, or oncologic patients. The preservation of skin integrity surrounding the device decreases the risk of infection.
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Cimpean, Anca Maria, Andreea Adriana Jitariu, and Marius Raica. Growth Factors and Their Corresponding Receptors as Targets for Ovarian Cancer Therapy. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780190248208.003.0011.

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Ovarian cancer remains one of the most aggressive and difficult to manage malignancies regarding evaluation and therapeutic options. The high mortality persists despite extensive research in the field. Current conventional chemotherapy does not improve disease-free survival and does not decrease recurrences amongst patients. This calls for a stringent reconsideration of the drugs selection, focused on the most targeted strategies and personalization of the therapy. Targeted agents against growth factors and their corresponding receptors are already approved as first- or second-line neoadjuvant therapy with controversial results. This chapter critically discusses the role of growth factors as vascular endothelial growth factor, fibroblast growth factors, or platelet-derived growth factors and their corresponding receptors in the pathogenesis, progression, and selection of therapeutic strategies. Other growth factors, such as nerve growth factor or endocrine gland derived growth factor, seem to have a strong involvement in ovarian carcinogenesis but their actual impact is not fully understood.
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Book chapters on the topic "Linear recurrence"

1

Caminha Muniz Neto, Antonio. "Linear Recurrence Relations." In Problem Books in Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77977-5_21.

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Mariconda, Carlo, and Alberto Tonolo. "Linear Recurrence Relations." In UNITEXT. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-03038-8_10.

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Lorentzen, Lisa. "Linear recurrence relations." In Walter Gautschi, Volume 3. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7132-5_1.

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Gatto, Letterio, and Parham Salehyan. "Generic Linear Recurrence Sequences." In Hasse-Schmidt Derivations on Grassmann Algebras. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31842-4_2.

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Rao, M. Bhaskara, S. Kasala, and H. Zhang. "Probabilistic Recurrence Relations." In Advances in Directional and Linear Statistics. Physica-Verlag HD, 2010. http://dx.doi.org/10.1007/978-3-7908-2628-9_15.

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Akiyama, Shigeki, Jan-Hendrik Evertse, and Attila Pethő. "On Nearly Linear Recurrence Sequences." In Number Theory – Diophantine Problems, Uniform Distribution and Applications. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55357-3_1.

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Gautschi, Walter. "Papers on Linear Recurrence Relations." In Walter Gautschi, Volume 3. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7132-5_6.

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Dal Lago, Ugo, Simone Martini, and Luca Roversi. "Higher-Order Linear Ramified Recurrence." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-24849-1_12.

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Ouaknine, Joël, and James Worrell. "Decision Problems for Linear Recurrence Sequences." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33512-9_3.

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Berarducci, Alessandro, and Benedetto Intrigila. "Linear Recurrence Relations are Δ0 Definable." In Logic and Foundations of Mathematics. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-017-2109-7_5.

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Conference papers on the topic "Linear recurrence"

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Lorentzen, L. "Perturbations of Linear Recurrence Relations." In Conference. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814533232_0019.

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Berzina, Inese, Janis Buls, and Raivis Bets. "Bounded Bi-ideals and Linear Recurrence." In 2013 15th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE, 2013. http://dx.doi.org/10.1109/synasc.2013.57.

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Nersesov, S. G., and W. M. Haddad. "Reversibility and Poincare recurrence in linear dynamical systems." In 2006 American Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/acc.2006.1657294.

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Ouaknine, Joël, and James Worrell. "Positivity Problems for Low-Order Linear Recurrence Sequences." In Proceedings of the Twenty-Fifth Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2013. http://dx.doi.org/10.1137/1.9781611973402.27.

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Salagean, Ana. "An algorithm for computing minimal bidirectional linear recurrence relations." In 2008 IEEE International Symposium on Information Theory - ISIT. IEEE, 2008. http://dx.doi.org/10.1109/isit.2008.4595287.

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Berthomieu, Jérémy, and Jean-Charles Faugère. "Guessing Linear Recurrence Relations of Sequence Tuplesand P-recursive Sequences with Linear Algebra." In ISSAC '16: International Symposium on Symbolic and Algebraic Computation. ACM, 2016. http://dx.doi.org/10.1145/2930889.2930926.

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Wang, D. J., and Y. H. Hu. "Optimal scheduling of linear recurrence equations on a multiprocessor array." In [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing. IEEE, 1991. http://dx.doi.org/10.1109/icassp.1991.150553.

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Zhang, Weihua, Lili Liu, Chen Zhang, Hongjiong Zhang, Binyu Zang, and Chuanqi Zhu. "Optimizing techniques for saturated arithmetic with first-order linear recurrence." In the 2009 ACM symposium. ACM Press, 2009. http://dx.doi.org/10.1145/1529282.1529704.

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Nersesov, Sergey G., Wassim M. Haddad, and Dennis S. Bernstein. "Poincaré recurrence and output reversibility in linear dynamical systems." In 2012 IEEE 51st Annual Conference on Decision and Control (CDC). IEEE, 2012. http://dx.doi.org/10.1109/cdc.2012.6426195.

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Berthomieu, Jérémy, and Jean-Charles Faugère. "A Polynomial-Division-Based Algorithm for Computing Linear Recurrence Relations." In ISSAC '18: International Symposium on Symbolic and Algebraic Computation. ACM, 2018. http://dx.doi.org/10.1145/3208976.3209017.

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Reports on the topic "Linear recurrence"

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Mathia, Karl. Solutions of linear equations and a class of nonlinear equations using recurrent neural networks. Portland State University Library, 2000. http://dx.doi.org/10.15760/etd.1354.

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Lauring, Josh. Multiple Cooperating Oncogenes Drive Recurrent Breast Cancer-Associated Chromosomal Amplifications: Creation of Isogenic Human Cell Line Models. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada612716.

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Lauring, Josh. Multiple Cooperating Oncogenes Drive Recurrent Breast Cancer-Associated Chromosomal Amplifications: Creation of Isogenic Human Cell Line Models. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada583983.

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Zhan, Ze-Jiang, Fang Zhang, Wen-Ze Qiu, Tai-Ze Yuan, and Rong-Hui Zheng. The optimal second-line treatment model for recurrent and/or metastatic head and neck squamous cell carcinoma: a Bayesian network meta-analysis. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, 2020. http://dx.doi.org/10.37766/inplasy2020.11.0041.

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Perdigão, Rui A. P. New Horizons of Predictability in Complex Dynamical Systems: From Fundamental Physics to Climate and Society. Meteoceanics, 2021. http://dx.doi.org/10.46337/211021.

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Discerning the dynamics of complex systems in a mathematically rigorous and physically consistent manner is as fascinating as intimidating of a challenge, stirring deeply and intrinsically with the most fundamental Physics, while at the same time percolating through the deepest meanders of quotidian life. The socio-natural coevolution in climate dynamics is an example of that, exhibiting a striking articulation between governing principles and free will, in a stochastic-dynamic resonance that goes way beyond a reductionist dichotomy between cosmos and chaos. Subjacent to the conceptual and operational interdisciplinarity of that challenge, lies the simple formal elegance of a lingua franca for communication with Nature. This emerges from the innermost mathematical core of the Physics of Coevolutionary Complex Systems, articulating the wealth of insights and flavours from frontier natural, social and technical sciences in a coherent, integrated manner. Communicating thus with Nature, we equip ourselves with formal tools to better appreciate and discern complexity, by deciphering a synergistic codex underlying its emergence and dynamics. Thereby opening new pathways to see the “invisible” and predict the “unpredictable” – including relative to emergent non-recurrent phenomena such as irreversible transformations and extreme geophysical events in a changing climate. Frontier advances will be shared pertaining a dynamic that translates not only the formal, aesthetical and functional beauty of the Physics of Coevolutionary Complex Systems, but also enables and capacitates the analysis, modelling and decision support in crucial matters for the environment and society. By taking our emerging Physics in an optic of operational empowerment, some of our pioneering advances will be addressed such as the intelligence system Earth System Dynamic Intelligence and the Meteoceanics QITES Constellation, at the interface between frontier non-linear dynamics and emerging quantum technologies, to take the pulse of our planet, including in the detection and early warning of extreme geophysical events from Space.
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Engel, Bernard, Yael Edan, James Simon, Hanoch Pasternak, and Shimon Edelman. Neural Networks for Quality Sorting of Agricultural Produce. United States Department of Agriculture, 1996. http://dx.doi.org/10.32747/1996.7613033.bard.

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The objectives of this project were to develop procedures and models, based on neural networks, for quality sorting of agricultural produce. Two research teams, one in Purdue University and the other in Israel, coordinated their research efforts on different aspects of each objective utilizing both melons and tomatoes as case studies. At Purdue: An expert system was developed to measure variances in human grading. Data were acquired from eight sensors: vision, two firmness sensors (destructive and nondestructive), chlorophyll from fluorescence, color sensor, electronic sniffer for odor detection, refractometer and a scale (mass). Data were analyzed and provided input for five classification models. Chlorophyll from fluorescence was found to give the best estimation for ripeness stage while the combination of machine vision and firmness from impact performed best for quality sorting. A new algorithm was developed to estimate and minimize training size for supervised classification. A new criteria was established to choose a training set such that a recurrent auto-associative memory neural network is stabilized. Moreover, this method provides for rapid and accurate updating of the classifier over growing seasons, production environments and cultivars. Different classification approaches (parametric and non-parametric) for grading were examined. Statistical methods were found to be as accurate as neural networks in grading. Classification models by voting did not enhance the classification significantly. A hybrid model that incorporated heuristic rules and either a numerical classifier or neural network was found to be superior in classification accuracy with half the required processing of solely the numerical classifier or neural network. In Israel: A multi-sensing approach utilizing non-destructive sensors was developed. Shape, color, stem identification, surface defects and bruises were measured using a color image processing system. Flavor parameters (sugar, acidity, volatiles) and ripeness were measured using a near-infrared system and an electronic sniffer. Mechanical properties were measured using three sensors: drop impact, resonance frequency and cyclic deformation. Classification algorithms for quality sorting of fruit based on multi-sensory data were developed and implemented. The algorithms included a dynamic artificial neural network, a back propagation neural network and multiple linear regression. Results indicated that classification based on multiple sensors may be applied in real-time sorting and can improve overall classification. Advanced image processing algorithms were developed for shape determination, bruise and stem identification and general color and color homogeneity. An unsupervised method was developed to extract necessary vision features. The primary advantage of the algorithms developed is their ability to learn to determine the visual quality of almost any fruit or vegetable with no need for specific modification and no a-priori knowledge. Moreover, since there is no assumption as to the type of blemish to be characterized, the algorithm is capable of distinguishing between stems and bruises. This enables sorting of fruit without knowing the fruits' orientation. A new algorithm for on-line clustering of data was developed. The algorithm's adaptability is designed to overcome some of the difficulties encountered when incrementally clustering sparse data and preserves information even with memory constraints. Large quantities of data (many images) of high dimensionality (due to multiple sensors) and new information arriving incrementally (a function of the temporal dynamics of any natural process) can now be processed. Furhermore, since the learning is done on-line, it can be implemented in real-time. The methodology developed was tested to determine external quality of tomatoes based on visual information. An improved model for color sorting which is stable and does not require recalibration for each season was developed for color determination. Excellent classification results were obtained for both color and firmness classification. Results indicted that maturity classification can be obtained using a drop-impact and a vision sensor in order to predict the storability and marketing of harvested fruits. In conclusion: We have been able to define quantitatively the critical parameters in the quality sorting and grading of both fresh market cantaloupes and tomatoes. We have been able to accomplish this using nondestructive measurements and in a manner consistent with expert human grading and in accordance with market acceptance. This research constructed and used large databases of both commodities, for comparative evaluation and optimization of expert system, statistical and/or neural network models. The models developed in this research were successfully tested, and should be applicable to a wide range of other fruits and vegetables. These findings are valuable for the development of on-line grading and sorting of agricultural produce through the incorporation of multiple measurement inputs that rapidly define quality in an automated manner, and in a manner consistent with the human graders and inspectors.
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Smith, Margaret, Nurit Katzir, Susan McCouch, and Yaakov Tadmor. Discovery and Transfer of Genes from Wild Zea Germplasm to Improve Grain Oil and Protein Composition of Temperate Maize. United States Department of Agriculture, 1998. http://dx.doi.org/10.32747/1998.7580683.bard.

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Project Objectives 1. Develop and amplify two interspecific populations (annual and perennial teosintes x elite maize inbred) as the basis for genetic analysis of grain quality. 2. Identify quantitative trait loci (QTLs) from teosinte that improve oil, protein, and essential amino acid composition of maize grain. 3. Develop near isogenic lines (NILs) to quantify QTL contributions to grain quality and as a resource for future breeding and gene cloning efforts. 4. Analyze the contribution of these QTLs to hybrid performance in both the US and Israel. 5. Measure the yield potential of improved grain quality hybrids. (NOTE: Yield potential could not be evaluated due to environmentally-caused failure of the breeding nursery where seed was produced for this evaluation.) Background: Maize is a significant agricultural commodity worldwide. As an open pollinated crop, variation within the species is large and, in most cases, sufficient to supply the demand for modem varieties and for new environments. In recent years there is a growing demand for maize varieties with special quality attributes. While domesticated sources of genetic variation for high oil and protein content are limited, useful alleles for these traits may remain in maize's wild relative, teosinte. We utilized advanced backcross (AB) analysis to search for QTLs contributing to oil and protein content from two teosinte accessions: Zea mays ssp. mexicana Race Chalco, an annual teosinte (referred to as Chalco), and Z diploperennis Race San Miguel, a perennial teosinte (referred to as Diplo). Major Conclusions and Achievements Two NILs targeting a Diplo introgression in bin 1.04 showed a significant increase in oil content in homozygous sib-pollinated seed when compared to sibbed seed of their counterpart non-introgressed controls. These BC4S2 NILs, referred to as D-RD29 and D-RD30, carry the Diplo allele in bin 1.04 and the introgression extends partially into bins 1.03 and 1.05. These NILs remain heterozygous in bins 4.01 and 8.02, but otherwise are homozygous for the recurrent parent (RD6502) alleles. NILs were developed also for the Chalco introgression in bin 1.04 but these do not show any improvement in oil content, suggesting that the Chalco alleles differ from the Diplo alleles in this region. Testcross Fl seed and sibbed grain from these Fl plants did not show any effect on oil content from this introgression, suggesting that it would need to be present in both parents of a maize hybrid to have an effect on oil content. Implications, both Scientific and Agricultural The Diplo region identified increases oil content by 12.5% (from 4.8% to 5.4% oil in the seed). Although this absolute difference is not large in agronomic terms, this locus could provide additive increases to oil content in combination with other maize-derived loci for high oil. To our knowledge, this is the first confirmed report of a QTL from teosinte for improved grain oil content in maize. It suggests that further research on grain quality alleles from maize wild relatives would be of both scientific and agricultural interest.
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Smith, Margaret, Nurit Katzir, Susan McCouch, and Yaakov Tadmor. Discovery and Transfer of Genes from Wild Zea Germplasm to Improve Grain Oil and Protein Composition of Temperate Maize. United States Department of Agriculture, 2002. http://dx.doi.org/10.32747/2002.7695846.bard.

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Abstract:
Project Objectives 1. Develop and amplify two interspecific populations (annual and perennial teosintes x elite maize inbred) as the basis for genetic analysis of grain quality. 2. Identify quantitative trait loci (QTLs) from teosinte that improve oil, protein, and essential amino acid composition of maize grain. 3. Develop near isogenic lines (NILs) to quantify QTL contributions to grain quality and as a resource for future breeding and gene cloning efforts. 4. Analyze the contribution of these QTLs to hybrid performance in both the US and Israel. 5. Measure the yield potential of improved grain quality hybrids. (NOTE: Yield potential could not be evaluated due to environmentally-caused failure of the breeding nursery where seed was produced for this evaluation.) Background: Maize is a significant agricultural commodity worldwide. As an open pollinated crop, variation within the species is large and, in most cases, sufficient to supply the demand for modem varieties and for new environments. In recent years there is a growing demand for maize varieties with special quality attributes. While domesticated sources of genetic variation for high oil and protein content are limited, useful alleles for these traits may remain in maize's wild relative, teosinte. We utilized advanced backcross (AB) analysis to search for QTLs contributing to oil and protein content from two teosinte accessions: Zea mays ssp. mexicana Race Chalco, an annual teosinte (referred to as Chalco), and Z diploperennis Race San Miguel, a perennial teosinte (referred to as Diplo). Major Conclusions and Achievements Two NILs targeting a Diplo introgression in bin 1.04 showed a significant increase in oil content in homozygous sib-pollinated seed when compared to sibbed seed of their counterpart non-introgressed controls. These BC4S2 NILs, referred to as D-RD29 and D-RD30, carry the Diplo allele in bin 1.04 and the introgression extends partially into bins 1.03 and 1.05. These NILs remain heterozygous in bins 4.01 and 8.02, but otherwise are homozygous for the recurrent parent (RD6502) alleles. NILs were developed also for the Chalco introgression in bin 1.04 but these do not show any improvement in oil content, suggesting that the Chalco alleles differ from the Diplo alleles in this region. Testcross Fl seed and sibbed grain from these Fl plants did not show any effect on oil content from this introgression, suggesting that it would need to be present in both parents of a maize hybrid to have an effect on oil content. Implications, both Scientific and Agricultural The Diplo region identified increases oil content by 12.5% (from 4.8% to 5.4% oil in the seed). Although this absolute difference is not large in agronomic terms, this locus could provide additive increases to oil content in combination with other maize-derived loci for high oil. To our knowledge, this is the first confirmed report of a QTL from teosinte for improved grain oil content in maize. It suggests that further research on grain quality alleles from maize wild relatives would be of both scientific and agricultural interest.
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