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Books on the topic 'Length functions'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Khan, Zad. Lyndon length functions, R[real number symbol]-trees and hyperbolic length functions. University of Birmingham, 1992.

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2

Bozejko, M. Positive definite kernels, length functions on groups and noncommutative von Neumann inequality. Mathem. Inst. Univ. of Wroclaw, 1987.

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3

T, Smith Robert. Calculus: Late transcendental functions. 4th ed. McGraw-Hill, 2012.

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4

Saff, E. B., Douglas Patten Hardin, Brian Z. Simanek, and D. S. Lubinsky. Modern trends in constructive function theory: Conference in honor of Ed Saff's 70th birthday : constructive functions 2014, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee. American Mathematical Society, 2016.

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5

Institution, British Standards, ed. An Introduction to the tolerancing of functional length dimensions. British Standards Institution, 1985.

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6

Charuk, Kerry A. Accuracy in prediction of personality as a function of sex length of description, task order, and actual score. Laurentian University, Department of Psychology, 1985.

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7

Laframboise, Christopher M. The effects of delayed auditory feedback on reading performance as a function of syllable length, consonant/vowel structure, and sex. Laurentian University, Department of Psychology, 1986.

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8

Watson, N. A. Introduction to heat potential theory. American Mathematical Society, 2012.

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9

Klesmer, Harold. E.S.L. achievement project: Development of English as a second language achievement criteria as a function of age and length of residence in Canada. The Board, 1993.

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10

Collins, R. F. Investigations of spinacia oleracea photosystem II architechture using the zero length bi-functional crosslinker 1-ethyl-3(3-dimethylaminoipropyl)-carbodi-imide(EDC). UMIST, 1997.

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11

Harding, Andrew. Uniqueness of g-measures and the invariance of the beta-function under finitary isomorphisms: With finite expected code lengths, between g-spaces. typescript, 1985.

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12

Li, Weiping, and Shihshu Walter Wei. Geometry and topology of submanifolds and currents: 2013 Midwest Geometry Conference, October 19, 2013, Oklahoma State University, Stillwater, Oklahoma : 2012 Midwest Geometry Conference, May 12-13, 2012, University of Oklahoma, Norman, Oklahoma. American Mathematical Society, 2015.

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13

Taylor, Marjorie, and Naomi R. Aguiar. Imaginary Friends and the People Who Create Them. 2nd ed. Oxford University Press, 2024. https://doi.org/10.1093/9780190888916.001.0001.

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Abstract Children as young as 2 or 3 talk to their imaginary friends and listen to what they have to say, showing that the capacity to derive companionship from an imaginary other does not require a lengthy history or extensive experience with social interactions. However, parents and other adult observers often do not know what to make of this behavior. In a book published in 1999, Marjorie Taylor reviewed the psychological research addressing the many interesting questions about what it means for a child to have an imaginary friend. Now 25 years later, Taylor and coauthor Naomi Aguiar have w

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14

Urrutia Sánchez, Elena. 10 didactic activities for intermediate english classes. Universidad de La Salle. Ediciones Unisalle, 2013. http://dx.doi.org/10.19052/9789585136441.

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This book has been created for both intermediate English students and their English teachers, who will be able to find a variety of activities to complement their English classes. Although this book has been particularly designed for Intermediate English levels and academic spaces at the Licenciatura en Lengua Castellana, Inglés y Francés, such as Language and Communication I II, Language Interaction and Anglophone Society I II, and even Pedagogical Practicum and Formative Research, it can be adapted to several other levels of mastery of the language, as well as to a wide range of educational

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15

Schinkel, Eusebio. Bigger Dick Secret : the Essential Guide to Penis on Everything from Size to Functions: Proven Way to Increase Length. Independently Published, 2021.

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16

Parmelee, John. Meet the Candidate Videos. Greenwood Publishing Group, Inc., 2003. http://dx.doi.org/10.5040/9798400684548.

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Parmelee shows how presidential primary campaign videocassettes serve many functions for candidates on their road to the White House. These videocassettes, which include images and issues often based on polling data and focus groups, are sent out before the primaries to battleground states to establish an initial image of the candidate. A variety of methods are used to explore the videocassettes of the Democratic and Republican presidential candidates—Gary Bauer, Bill Bradley, George W. Bush, Steve Forbes, Al Gore, and John McCain—who released presidential primary meet the candidate videos dur

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17

Khamis, Sam. Walking with Leg Length Discrepancy: The Biomechanical Effect of Anatomic and Functional Leg Length Discrepancy on Gait. Independently Published, 2020.

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18

Clarkson, Hazel. Joint Motion, Muscle Length, and Function Assessment: A Research-Based Practical Guide. LWW, 2019.

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19

Metcalf, Michael, John Reid, and Malcolm Cohen. Fortran 2018 enhancements to interoperability with C. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198811893.003.0021.

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Some Fortran features were not available when interoperating with C; in particular, • optional dummy arguments, • assumed-length character dummy arguments, • assumed-shape arrays, • allocatable dummy arguments, and •pointer dummy arguments. Also, the frequent need to pass C pointers for low-level operations can lead to ugly code that is difficult to understand. Fortran 2018 addresses all of these issues. For optional arguments there are already widespread C programming idioms that can be followed, and so this is the simplest deficiency to correct. For all the other advanced Fortran features, t

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20

Maximal Function Methods for Sobolev Spaces. American Mathematical Society, 2021.

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21

Mason, Peggy. The Versatile Brainstem. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780190237493.003.0006.

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The role of the brainstem in life is detailed from both medical and legal points of view. This chapter describes how the brainstem divides up the fundamental processes of human life, with the most automatic and basic ones supported most caudally and progressively more expressive functions depending on more rostral brainstem regions. The text then steps through the internal anatomy of the brainstem with a focus on cranial nerve nuclei. The location of the three long tracts is followed for the length of the brainstem, and the course of the corticobulbar tract is presented. A primer on the anatom

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22

Thomas, Sabu, Tianduo Li, Arya Uthaman, and Hanna Maria. Advanced Functional Porous Materials: From Macro to Nano Scale Lengths. Springer International Publishing AG, 2022.

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23

Advanced Functional Porous Materials: From Macro to Nano Scale Lengths. Springer International Publishing AG, 2021.

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24

Aarts, D. G. A. L. Soft interfaces: the case of colloid–polymer mixtures. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198789352.003.0013.

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In this chapter we discuss the interface of a phase separated colloid-polymer mixture. We start by highlighting a number of experimental studies, illustrating the richness of colloidal interface phenomena. This is followed by a derivation of the bulk phase behaviour within free volume theory. We subsequently calculate the interfacial tension using a squared gradient approach. The interfacial tension turns out to be ultralow, easily a million times smaller than a molecular interfacial tension. From the bulk and interface calculations we obtain the capillary length and compare to experiments, wh

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25

Furst, Eric M., and Todd M. Squires. Light scattering microrheology. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199655205.003.0005.

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The fundamentals and best practices of passive microrheology using dynamic light scattering and diffusing wave spectroscopy are discussed. The principles of light scattering are introduced and applied in both the single and multiple scattering regimes, including derivations of the light and field autocorrelation functions. Applications to high-frequency microrheology and polymer dynamics are presented, including inertial corrections. Methods to treat gels and other non-ergodic samples, including multi-speckle and optical mixing designs are discussed. Dynamic light scattering (DLS) is a well es

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26

Selton-Suty, Christine, Olivier Huttin, Clément Venner, and Yves Juillière. Functional anatomy of right heart valves. Edited by Yen Ho. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780198784906.003.0019.

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This chapter summarizes the anatomical features of right heart valves. The tricuspid valve usually comprises three leaflets (anterior, septal, and posterior) separated by three commissures (anteroseptal, posteroseptal, and anteroposterior). The tricuspid valve apparatus consists of papillary muscles and chordae with high variability in number, length, shape, and arrangement of papillary muscles. The tricuspid valve leaflets are attached to a fibrous annulus with an ovoid saddle shape. The pulmonary valve and the aortic valve have identical architecture: three cusps (anterior, left, and right)

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27

Horing, Norman J. Morgenstern. Superfluidity and Superconductivity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0013.

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Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The nonlinear Gross-Pitaevskii equation is derived for this condensate wave function<ψ>=ψ−ψ˜, facilitating identification of the coherence length and the core region of vortex motion. The noncondensate Green’s function G˜1(1,1′)=−i<(ψ˜(1)ψ˜+(1′))+> and the nonvanishing anomalous correlation function F˜∗(2,1′)=−i<(ψ˜+(2)ψ˜+(1′))+> describe the dynamics and elementary excitations of the

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28

McBride, Margaret E. Evidence of biomechanical functional symmetry in the presence of lower extremity structural asymmetry during running. 1989.

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29

Evidence of biomechanical functional symmetry in the presence of lower extremity structural asymmetry during running. 1989.

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30

Martin, Rainer Eugen. Monodisperse poly(triacetylene) oligomers: Synthesis, characterization, and investigation of their physical properties as a function of chain-length and functionalization. 1998.

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31

Hagedorn, Sara L., and Michael C. LeMay. The American Congress. ABC-CLIO, 2019. http://dx.doi.org/10.5040/9798400610462.

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This volume thoroughly examines the operations and politics of the U.S. Congress. It guides readers to their own assessment of congressional politics and provides them with the basis for future reading and study of the subject. The American Congress: A Reference Handbook covers Congress from its inception to the present day, discussing the constitutional functions of Congress and how they have evolved over time. It presents a detailed discussion of 15 problems with which Congress copes, some associated concerns with those problems, and how they might be resolved. The book opens with a brief hi

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32

Grinsell, D., D. R. Theile, and W. A. Morrison. Replantation. Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780199550647.003.012027.

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♦ Digital replantation is the best reconstruction available for the correct indications♦ Amputated thumbs, multiple fingers, and paediatric replants are the strongest indications♦ A functional result requires a mobile, stable, sensate digit of adequate length♦ Replant survival and functional results are dependent on multiple factors including microsurgical expertise♦ Spare part surgery is a unique opportunity to salvage tissue in an unreplantable limb.

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33

Jones, Christopher R. Neurobiology of Circadian Rhythms Disorders. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780199937837.003.0175.

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Temporal organization of nervous system function includes daily rhythms driven by a molecular-genetic hypothalamic “clock” with an intrinsic period length of approximately (circa) one day (diem). The resulting circadian rhythm influences all aspects of brain function and internally synchronizes the circadian oscillations inherent in all other body tissues. Idiosyncratic circadian characteristics interact with perceived environmental stimuli to determine each individual’s entrainment pattern of external synchronization with the day-night cycle. Idiosyncratic entrainment patterns that may come t

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34

Finlay, Esmé, and Diaa Osman. Decompressive Surgery for Malignant Spinal Cord Compression (DRAFT). Edited by Nathan A. Gray and Thomas W. LeBlanc. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780190658618.003.0013.

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Metastatic epidural spinal cord compression (MESCC) is a potentially disabling complication associated with advanced cancer. To address whether decompressive surgery followed by radiation therapy is superior to radiation therapy alone, this multi-institutional randomized trial compared outcomes among 101 patients with MESCCC. The study assessed functional outcomes such as ability to ambulate posttreatment, length of ambulation and maintained continence posttreatment, survival time after intervention, and additional functional, quality of life, and medication use outcomes. The practice-changing

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35

Taylor, Andrew. Midfoot and forefoot fractures and dislocations. Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780199550647.003.012062.

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♦ Mid- and forefoot injuries are common♦ Minimally displaced and stable injuries allow early weight-bearing rehabilitation and lead to a good functional outcome♦ Displaced and unstable injuries require restoration of the length, alignment, and joint congruency followed by stable fixation♦ Respect the soft tissue element of the foot injury.

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36

Silva, Elvira, Spiro E. Stefanou, and Alfons Oude Lansink. Dynamic Efficiency and Productivity Measurement. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780190919474.001.0001.

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The book takes on a systematic treatment of dynamic decision making and performance measurement. The analytical foundations of the dynamic production technology are introduced and developed in detail for several primal representations of the technology with an emphasis on dynamic directional distance functions. Dynamic cost minimization and dynamic profit maximization are developed for primal and dual representations of the dynamic technology. A dynamic production environment can be characterized as one where current production decisions impact future production possibilities. Consequently, th

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37

Partington, Martin. Introduction to the English Legal System 2017-2018. Oxford University Press, 2017. http://dx.doi.org/10.1093/he/9780198802488.001.0001.

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Introduction to the English Legal System 2017-2018 has been fully updated to consider the latest developments in the English legal system. The theme which dominates the new edition is that of transformation. The criminal (Chapter 5), the administrative (Chapter 6), the family (Chapter 7), and the civil (Chapter 8) justice systems are all starting a process of structural reform designed to enable them to operate more efficiently; this will include major investment in the use of IT in the delivery of court and tribunal services. Major changes to the ways in which the legal profession is regulate

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38

Pomson, Alex, and Howard Deitcher, eds. Jewish Day Schools, Jewish Communities. Liverpool University Press, 2009. http://dx.doi.org/10.3828/liverpool/9781904113744.001.0001.

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About 350,000 Jewish children are currently enrolled in Jewish day schools, in every continent other than Antarctica. This is the first book-length consideration of life in such schools and of their relationship both to the Jewish community and to society as a whole. The book provides a rich sense of how community is constructed within Jewish schools, and of how they contribute to or complicate the construction of community in the wider society. It reframes day-school research in three ways. First, it focuses not just on the learner in the day-school classroom but sees schools as agents of and

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39

Kruger, Michael J. Miniature Codices in Early Christianity. Oxford University PressOxford, 2025. https://doi.org/10.1093/9780198940425.001.0001.

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Abstract While there has been a renewed scholarly interest in paratextual features of early Christian manuscripts, that interest has rarely extended to the size of manuscripts, particularly the format known as the miniature codex. Such neglect has been surprising given that this miniature format was a notable part of early Christian textual culture, emerging as early as the second century and visible well into the seventh century and beyond. So established was this format among Christians during this time period that C.H. Roberts once surmised (incorrectly, it turns out) that, “The miniature c

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40

Morawetz, Klaus. Deep Impurities with Collision Delay. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0017.

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The linearised nonlocal kinetic equation is solved analytically for impurity scattering. The resulting response function provides the conductivity, plasma oscillation and Fermi momentum. It is found that virial corrections nearly compensate the wave-function renormalizations rendering the conductivity and plasma mode unchanged. Due to the appearance of the correlated density, the Luttinger theorem does not hold and the screening length is influenced. Explicit results are given for a typical semiconductor. Elastic scattering of electrons by impurities is the simplest but still very interesting

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41

Cornelius, David William. Study of the Velocity of Electrons in the Photo-Electric Effect, As a Function of the Wave-lengths of the Light. Creative Media Partners, LLC, 2018.

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42

Study of the Velocity of Electrons in the Photo-Electric Effect, As a Function of the Wave-lengths of the Light. Creative Media Partners, LLC, 2022.

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43

Pettis, Joyce. African American Poets. Greenwood, 2002. http://dx.doi.org/10.5040/9798400607776.

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Covering 46 poets from more than two centuries of African American literary history, this biocritical dictionary is an important contribution to any reference collection. The poets are situated within their historical and literary context, and for each a brief biographical sketch is given, with information on the poet's personal history, education, influences, and accomplishments. Each entry examines the poet's work as a whole, with a discussion of selected important poems and their recurrent themes. Students and interested readers will gain a good appreciation for the stylistic features and a

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44

Cornelius, David William. The Study of the Velocity of Electrons in the Photo-Electric Effect, as a Function of the Wave-Lengths of the Light. Franklin Classics Trade Press, 2018.

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45

Cornelius, David William. The Study Of The Velocity Of Electrons In The Photo-electric Effect, As A Function Of The Wave-lengths Of The Light. Franklin Classics, 2018.

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46

Cornelius, David William. The Study of the Velocity of Electrons in the Photo-Electric Effect, as a Function of the Wave-Lengths of the Light. Franklin Classics Trade Press, 2018.

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47

Manning, George C. Anger in the Sagas of Icelanders. Oxford University PressOxford, 2025. https://doi.org/10.1093/9780198970637.001.0001.

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Abstract Anger in the Sagas of Icelanders examines the presentation of anger in the Íslendingasögur (‘Sagas of Icelanders’) and associated Íslendingaþættir (‘Tales of Icelanders’), a remarkable Old Norse–Icelandic corpus of texts written down in the thirteenth and fourteenth centuries that detail conflicts and feuds of Icelanders during the late ninth, tenth, and early eleventh centuries. It first shows how various unqualified involuntary somatic responses, facial expressions, and bodily movements frequently indicate angry experience in the sagas, before arguing that anger’s mode of expression

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48

Rodríguez Juárez, Carolina. Accesibilidad a la función Sujeto en lengua inglesa: restricciones funcionales, intrínsecas y jerárquicas. Servicio de Publicaciones y Difusión Científica de la Universidad de Las Palmas de Gran Canaria, 2021. http://dx.doi.org/10.20420/1650.2021.479.

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La accesibilidad de un término para participar en una operación gramatical como la asignación de Sujeto está condicionada por restricciones jerárquicas, funcionales e intrínsecas que favorecerán la asignación de la función de Sujeto al primer argumento, resultando en una oración activa, o a un término distinto al primer argumento, obteniéndose una construcción pasiva. Estas restricciones se representan en forma de jerarquías de carácter tipológico cuya relevancia ha sido enfatizada tanto en la teoría de la Gramática Funcional (Dik, 1978, 1989) como en la Gramática Discursivo-Funcional (Hengeve

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49

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Parallel Residues. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0021.

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This chapter considers the notion of parallel residues in a building. It begins with the assumption that Δ‎ is a building of type Π‎, which is arbitrary except in a few places where it is explicitly assumed to be spherical. Δ‎ is not assumed to be thick. The chapter then elaborates on a hypothesis which states that S is the vertex set of Π‎, (W, S) is the corresponding Coxeter system, d is the W-distance function on the set of ordered pairs of chambers of Δ‎, and ℓ is the length function on (W, S). It also presents a notation in which the type of a residue R is denoted by Typ(R) and concludes

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50

Morschett, Raphael. The Oneiric in the Films of David Lynch. Bloomsbury Publishing Plc, 2024. http://dx.doi.org/10.5040/9798765107065.

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The Oneiric in the Films of David Lynch is the first systematic book-length study to explore the nature and function of dreams in David Lynch's different phases and audio-visual formats. There is hardly a contemporary film director whose name is as closely linked to the dream(-like) as that of David Lynch. Both popular and academic discourse frequently identify Lynch’s films by their dreamlike qualities. However, in the existing literature on Lynch, these qualities tend to remain underspecified in terms of their experiential dimension. Departing from an interest in the phenomenon of dream expe

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