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Relevant bibliographies by topics / Length functions

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Academic literature on the topic 'Length functions'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Length functions"

1

KRAUSE, HENNING. "COHOMOLOGICAL LENGTH FUNCTIONS." Nagoya Mathematical Journal 223, no. 1 (2016): 136–61. http://dx.doi.org/10.1017/nmj.2016.28.

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We study certain integer valued length functions on triangulated categories, and establish a correspondence between such functions and cohomological functors taking values in the category of finite length modules over some ring. The irreducible cohomological functions form a topological space. We discuss its basic properties, and include explicit calculations for the category of perfect complexes over some specific rings.

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Anderson, D. D., and J. R. Juett. "Long length functions." Journal of Algebra 426 (March 2015): 327–43. http://dx.doi.org/10.1016/j.jalgebra.2014.12.016.

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Wilkens, David L. "Length functions on hypercentral groups." Proceedings of the Edinburgh Mathematical Society 28, no. 3 (1985): 303–4. http://dx.doi.org/10.1017/s0013091500017107.

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In [6] the structure of any real valued length function on an abelian group G is determined. It is shown there, in Theorem 6.1., that such a length function is an extension of a non-Archimedean length function l1 on N by an Archimedean length function l2 on H=G/N. Any non-Archimedean length function is given by a chain of subgroups, as described in [5], and following from results of Nancy Harrison [2], the length l2 is essentially the absolute value function on a subgroup of R. In the situation above if N≠G then N is a subgroup of G whose elements have bounded lengths. In this paper we show th

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Hoare, A. H. M. "Pregroups and length functions." Mathematical Proceedings of the Cambridge Philosophical Society 104, no. 1 (1988): 21–30. http://dx.doi.org/10.1017/s030500410006521x.

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Pregroups were defined by Stallings[7] who showed that the elements of the group they define have a normal form up to an equivalence called interleaving. Recently Rimlinger[5] has shown that subject to a discreteness and a boundedness condition any pregroup P defines a graph of groups. We show here that closer analysis of P makes the boundedness condition superfluous. In § 1 we give results of Stallings and Rimlinger and prove some key lemmas. In §2 we show that the discreteness condition gives an integer-valued length function in the sense of Lyndon [4]. It follows from the work of Chiswell [

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Chiswell, I. M. "Length functions and pregroups." Proceedings of the Edinburgh Mathematical Society 30, no. 1 (1987): 57–67. http://dx.doi.org/10.1017/s001309150001796x.

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The idea of a pregroup was introduced by Stallings and provides an axiomatic setting for a well-known argument, due to van der Waerden, used to prove normal form theorems. Details are provided in [7], Section 3.

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Kuznetsova, O. S., and V. G. Tkachev. "Length functions of lemniscates." manuscripta mathematica 112, no. 4 (2003): 519–38. http://dx.doi.org/10.1007/s00229-003-0411-3.

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Fritz, Tobias, Siddhartha Gadgil, Apoorva Khare, Pace Nielsen, Lior Silberman, and Terence Tao. "Homogeneous length functions on groups." Algebra & Number Theory 12, no. 7 (2018): 1773–86. http://dx.doi.org/10.2140/ant.2018.12.1773.

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Nesayef, Faisal. "Length Functions and HNN Groups." Journal of Scientific Research and Reports 14, no. 4 (2017): 1–8. http://dx.doi.org/10.9734/jsrr/2017/33282.

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Dreyer, Guillaume. "Length functions of Hitchin representations." Algebraic & Geometric Topology 13, no. 6 (2013): 3153–73. http://dx.doi.org/10.2140/agt.2013.13.3153.

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Wilkens, David L. "Minimal length functions on groups." Mathematika 39, no. 1 (1992): 56–61. http://dx.doi.org/10.1112/s0025579300006847.

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Dissertations / Theses on the topic "Length functions"

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Kaska, Jennifer Lynn. "Ependymin Mechanism of Action: Full Length EPN VS Peptide CMX-8933." Link to electronic thesis, 2003. http://www.wpi.edu/Pubs/ETD/Available/etd-0528103-102730/.

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Lui, Jackey. "A new design for low-depth compression functions from length preserving public random functions." Zurich : ETH, Swiss Federal Institute of Technology, Department of Computer Science, Institute of Theoretical Computer Science, 2009. http://e-collection.ethbib.ethz.ch/show?type=dipl&nr=429.

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Andersson, Joakim, and Jakob Wiesinger. "Counting words avoiding patterns of length three with generating functions." Thesis, KTH, Matematik (Inst.), 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-168019.

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The set of 123-avoiding words with exactly r occurrences of each letter was recently enumerated by N. Shar and D. Zeilberger. This paper enumerates more complicated sets of pattern avoiding words, such as those allowing 1, 2, ... or r occurrences of each letter, or those for which the numbers of occurrences of each individual letter follow a repeating sequence. The results are also generalized to apply to all patterns of length three with distinct letters. The generating functions enumerating the words are shown to be algebraic, for all investigated sets of words. A notable number of coefficie

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Evans, Karra. "SYSTEMATIC STUDY OF GENE FUNCTIONS FOR MORPHOLOGICAL CHAIN FORMATION IN STREPTOCOCCUS SANGUINIS." VCU Scholars Compass, 2011. http://scholarscompass.vcu.edu/etd/2514.

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Streptococcus sanguinis is a gram-positive facultative anaerobe that is indigenous to the oral cavity and a primary colonizer of the oral cavity. It serves as a tether for the attachment of several oral bacteria that colonize the tooth surface, form dental plaque, and cause periodontal disease. Previous experiments with streptococcal strains have suggested that cellular chain morphology of streptococci may influence the competitiveness, susceptibility to phagocytosis, acidurance, and aggregation of the bacterium. The purpose of this study was to systematically determine gene functions that con

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Môra, Rômulo. "Influência da forma de ajuste e do comprimento das seções no desempenho de funções de afilamento." Universidade Federal do Espírito Santo, 2011. http://repositorio.ufes.br/handle/10/5770.

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Made available in DSpace on 2016-12-23T13:51:44Z (GMT). No. of bitstreams: 1 Romulo Mora.pdf: 2626430 bytes, checksum: ee373f5861d8c09f0884b13c435b815a (MD5) Previous issue date: 2011-02-03<br>Este trabalho teve como objetivo verificar a exatidão e precisão das estimativas das variáveis diâmetro, altura e volume, considerando as estimativas dos parâmetros obtidos no ajuste do conjunto de dados pelo modelo original e pelas expressões de diâmetro e altura para diferentes modelos de afilamento e comprimento das seções. Para a realização do trabalho, foram cubados 70 fustes do híbrido Eucalyptus

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Subtelny, Alexander O. (Alexander Orest). "Function and regulation of poly(A)-tail length." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/112426.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Biology, June 2014.<br>Cataloged from PDF version of thesis. "May 2014." Vita.<br>Includes bibliographical references.<br>Poly(A) tails are found at the 3' ends of nearly all eukaryotic messenger RNAs (mRNAs) and long non-coding RNAs. The presence of a poly(A) tail promotes translation and inhibits decay of an mRNA, with both effects mediated through poly(A)-binding protein. However, an understanding of the relationship between the length of a poly(A) tail and these aspects of mRNA metabolism has been limited, primarily becau

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Salzwedel, Jai. "Lambda femtoscopy in √s_NN = 2.76 TeV Pb-Pb collisions at ALICE." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1483568167792529.

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Byrne, Christopher. "Muscle function after exercise-induced muscle damage." Thesis, Bangor University, 2001. https://research.bangor.ac.uk/portal/en/theses/muscle-function-after-exerciseinduced-muscle-damage(2bbf5fe1-f35b-4b7b-9790-ff3a04b86875).html.

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Muscle function after exercise-induced muscle damage has traditionally been evaluated by measures of isometric strength at a single joint angle or muscle length. The thesis investigates the effect of muscle damage on other muscle function parameters such as, isometric strength as a function of muscle length, concentric strength as a function of angular velocity, strength across muscle actions, the stretch-shortening cycle, power output, and fatigability. Study 1 The first part of this study aimed to determine how the muscle length at which strength is measured affects reductions in isometric s

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Robinson, Mark. "Accessing large length and time scales with density functional theory." Thesis, University of Cambridge, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609128.

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Meier, Bettina. "Functional Analysis of the Yku Complex in Telomere Length Regulation." Diss., lmu, 2001. http://nbn-resolving.de/urn:nbn:de:bvb:19-2684.

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Books on the topic "Length functions"

1

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

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

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

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

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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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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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Book chapters on the topic "Length functions"

1

Monk, J. Donald. "Length." In Cardinal Functions on Boolean Algebras. Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-6381-0_6.

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Bass, Hyman, and Alexander Lubotzky. "Length Functions, Minimality." In Tree Lattices. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-2098-5_6.

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Parry, Walter. "Axioms for Translation Length Functions." In Mathematical Sciences Research Institute Publications. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-3142-4_11.

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Chiswell, I. M. "Pregroups and Lyndon Length Functions." In Mathematical Sciences Research Institute Publications. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-3142-4_6.

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Chiswell, I. "Length functions and Λ-trees." In CRM Proceedings and Lecture Notes. American Mathematical Society, 1998. http://dx.doi.org/10.1090/crmp/017/02.

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Fusacchia, Gabriele, and Luigi Salce. "Length Functions over Prüfer Domains." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43416-8_11.

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Wagner, Urs, and Thomas Lugrin. "Hash Functions." In Trends in Data Protection and Encryption Technologies. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-33386-6_5.

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AbstractHash functions are one-way functions that map arbitrary-length input to fixed-length output. Moreover, they have many cryptographic applications, such as integrity checks, password storage, and signatures. Cryptographic hash functions have some additional properties that can be formulated as hard problems: pre-image resistance, second pre-image resistance, and collision resistance. A significant technological development in this area is unlikely. Standardized hash functions are considered secure, and open-source implementations can be used at no cost. To conclude, the security properti

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Mennink, Bart. "Indifferentiability of Double Length Compression Functions." In Cryptography and Coding. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-45239-0_14.

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Sharp, Richard. "Comparing length functions on free groups." In CRM Proceedings and Lecture Notes. American Mathematical Society, 2010. http://dx.doi.org/10.1090/crmp/052/10.

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Nandi, Mridul. "Towards Optimal Double-Length Hash Functions." In Progress in Cryptology - INDOCRYPT 2005. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11596219_7.

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Conference papers on the topic "Length functions"

1

Zhang, Jing Cheng, and Din Ping Tsai. "Cascading meta-devices for advanced functions and applications." In JSAP-Optica Joint Symposia. Optica Publishing Group, 2024. https://doi.org/10.1364/jsapo.2024.17p_a25_8.

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Metasurfaces, recognized as subwavelength antenna collections, offer many possibilities for managing electromagnetic waves and streamlining the dimensions and intricacy of electromagnetic apparatus. These structures can govern diverse aspects of electromagnetic waves, encompassing amplitude, wave-length, polarization, phase, orbital angular momentum, and more. Multilayer meta-devices provide a greater degree of freedom to manipulate the light and have a better ability to perform various functions. In this thesis, various multilayer meta-devices have been systematically developed for advanced f

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Tang, Fujian, Lizhi Zhao, Hong-Nan Li, et al. "Spatial Variation Analysis of Localized Corrosion of Steel Bar with Spectral Analysis Technique." In CONFERENCE 2022. AMPP, 2022. https://doi.org/10.5006/c2022-17792.

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Abstract This study aims to statistically analyze the distribution characteristics of localized corrosion along the length of corroded steel bars with spectral analysis techniques. Steel bars were embedded in a concrete prism and subjected to accelerated corrosion to levels ranging from 5.0 wt.% to 30.0 wt.% mass loss. After the corrosion test, the corroded steel bars were taken out of the concrete and cleaned with a sand blaster, and then scanned with a 3D laser scanner. The scanned point clouds were processed with an image processing software to determine the residual cross-sectional area di

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Fragnière, Benjamin, and Johannes Wartmann. "Local Polynomial Method Frequency-Response Calculation for Rotorcraft Applications." In Vertical Flight Society 71st Annual Forum & Technology Display. The Vertical Flight Society, 2015. http://dx.doi.org/10.4050/f-0071-2015-10212.

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Frequency-response function calculation is an essential element in rotorcraft data analysis, especially for system identification, model validation and model analysis. This article analyzes the performance of a recently developed method for the calculation of frequency-response functions, called the local polynomial method (LPM), when applying it to rotorcraft systems. The local polynomial method is presented as an alternative to the methods that are based on segmenting and windowing the data and is particularly effective in reducing the leakage error. The performance of both methods is first

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Sundaresan, Rajesh. "Guessing Based On Length Functions." In 2007 IEEE International Symposium on Information Theory. IEEE, 2007. http://dx.doi.org/10.1109/isit.2007.4557309.

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Dallas, W. J. "The Finite-Length Line-Spread Function: An Extension To Asymmetric Point Spread Functions." In Medical Imaging II, edited by Roger H. Schneider and Samuel J. Dwyer III. SPIE, 1988. http://dx.doi.org/10.1117/12.968632.

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Abu-Nabah, Bassam A., and Samer M. Al-Said. "Physics-Based Sonic IR Crack Length Estimation using Thermal Images Alone." In 2022 49th Annual Review of Progress in Quantitative Nondestructive Evaluation. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/qnde2022-98191.

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Abstract The absence of analytical solutions describing a crack frictional heat generation and diffusion in sonic infrared (IR) inspection technology makes it rather difficult to estimate a crack length from thermal images alone. This study presents the recent development in theoretical-based techniques assuming uniform, arbitrary and point frictional heat generation functions along the crack and how they lend themselves for crack length estimation. The different forward heat diffusion models are validated in close comparison with finite element (FE) simulations for different heat generation f

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Luo, Yiyuan. "A proposal for high rate double-block-length hash functions." In 2016 3rd International Conference on Systems and Informatics (ICSAI). IEEE, 2016. http://dx.doi.org/10.1109/icsai.2016.7811060.

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Shurygin, Dmitry Mikhailovich. "On length of system of summator function and comparator function in a class of pseudopolynomial forms." In Academician O.B. Lupanov 14th International Scientific Seminar "Discrete Mathematics and Its Applications". Keldysh Institute of Applied Mathematics, 2022. http://dx.doi.org/10.20948/dms-2022-30.

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The problem of implementing Boolean functions in polynomial forms finds applications in the synthesis of logic circuits, in discrete models of system biology. One of the classes of polynomial forms is the class pseudopolynomial forms (PSPF) - expressions that are the sum over modulo two of conjunctions of Zhegalkin polynomials of linear functions. Latest years, the properties of the implementation of Boolean functions in the class have been actively studied PSPF. One of the complexity characteristics of implementing functions in a class psf is the length - the minimum number of terms among all

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Zhou, Hong. "Synthesis of Adjustable Linkages for Precise Function Generation Using the Optimal Link Length Adjustment." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34945.

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Nonadjustable four-bar linkages can only generate the desired functions precisely at a limited number of points. With one link length adjustment, the whole desired function can be generated precisely. This paper uses the coupler or the driven link length adjustment to generate the desired functions precisely. The synthesis model of adjustable linkages is established based on the optimal link length adjustment. For different applications, the desired functions can be generated precisely by using the continuous adjustment or approximately by fixing the adjustable link at an appropriate length af

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Zhao, Yongbin, Fengrong Zhang, Chaohui Qi, and Ning Cao. "New Algorithm Enumerating Bent Functions Based on Value Distribution and Run Length." In 2017 IEEE International Conference on Computational Science and Engineering (CSE) and IEEE International Conference on Embedded and Ubiquitous Computing (EUC). IEEE, 2017. http://dx.doi.org/10.1109/cse-euc.2017.260.

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Reports on the topic "Length functions"

1

Butler, J. T., and T. Sasao. On the Average Path Length in Decision Diagrams of Multiple-Valued Functions. Defense Technical Information Center, 2003. http://dx.doi.org/10.21236/ada599953.

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Sasao, T., J. T. Butler, and M. Matsuura. Average Path Length as a Paradigm for the Fast Evaluation of Functions Represented by Binary Decision Diagrams. Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada593009.

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Nova Martínez, Manuel Arturo, Elkin Giovani Sorza Álvarez, and Lina María Zabala Arango. Defined integration and applications for measuring areas and distances. Ediciones Universidad Cooperativa de Colombia, 2024. https://doi.org/10.16925/gcnc.103.

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Among the most relevant applications of the definite integral in functions of a real variable are the computation of areas in non-regular flat regions and measuring distances along curved paths, which are widely employed in engineering and physics. These notes present the concept of definite integration, emphasizing its connection to calculating the area under a curve, as well as the arc length formula and its practical application for length measurement. Problem scenarios are introduced to illustrate the utility of these concepts, aiming to provide a solid understanding of the topics and thei

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Parkins and Leis. L51654 Spatial Densities of Stress-Corrosion Cracks in Line-Pipe Steels. Pipeline Research Council International, Inc. (PRCI), 1992. http://dx.doi.org/10.55274/r0010367.

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There was a need to define the spatial density of stress-corrosion crack arrays that develop in operating gas-transmission pipelines and in laboratory test specimens of line-pipe steel, to improve understanding of the factors that control the density and provide data to test models of pipeline cracking. Within the broad definition of crack density are included the locations, numbers, lengths, depths, and degree of linkage of cracks. An analysis has been conducted of location, numbers, lengths, depths, and degree of linkage of stress-corrosion crack colonies in samples from the field and from l

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Mawassi, Munir, Baozhong Meng, and Lorne Stobbs. Development of Virus Induced Gene Silencing Tools for Functional Genomics in Grapevine. United States Department of Agriculture, 2013. http://dx.doi.org/10.32747/2013.7613887.bard.

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Grapevine is perhaps the most widely grown fruit crop. To understand the genetic make-up so as to improve the yield and quality of grapes and grape products, researchers in Europe have recently sequenced the genomes of Pinot noir and its inbred. As expected, function of many grape genes is unknown. Functional genomics studies have become the major focus of grape researchers and breeders. Current genetic approaches for gene function studies include mutagenesis, crossing and genetic transformation. However, these approaches are difficult to apply to grapes and takes long periods of time to accom

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Calderón Madrid, Angel. Revisiting the Employability Effects of Training Programs for the Unemployed in Developing Countries. Inter-American Development Bank, 2006. http://dx.doi.org/10.18235/0011237.

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Data sets used for evaluations in developing countries do not lend themselves to measuring the impact of training programs on the re-employment dynamics of trainees. An exception is a data set collected for an evaluation conducted in 1994 on participants in a training program targeting the unemployed in Mexico. In addition to having a control group of eligible individuals who did not participate in the program, this data set is the only one with longitudinal data covering not only the length of unemployment episodes after the training of the respondent, but also the duration of his/her employm

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Siebenaler, Shane. PR-015-163766-R01 Field Testing of Distributed Acoustic Sensing Systems. Pipeline Research Council International, Inc. (PRCI), 2018. http://dx.doi.org/10.55274/r0011503.

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Distributed acoustic sensing (DAS) technology utilizes a fiber-optic cable as a distributed vibration sensor that can be installed in a right-of-way to monitor for pipeline leaks and to identify third-party interference (TPI), such as mechanized excavation, hand digging, etc. Various laboratory tests have been performed to demonstrate that DAS has the potential to be a flexible solution for pipeline operators. A key gap that needs to be assessed is the ability of the technology to serve its intended leak detection and TPI functions while not generating alarms at any other times. The most compr

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Gafny, Ron, A. L. N. Rao, and Edna Tanne. Etiology of the Rugose Wood Disease of Grapevine and Molecular Study of the Associated Trichoviruses. United States Department of Agriculture, 2000. http://dx.doi.org/10.32747/2000.7575269.bard.

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Rugose wood is a complex disease of grapevines, characterized by modification of the woody cylinder of affected vines. The control of rugose wood is based on the production of healthy propagation material. Detection of rugose wood in grapevines is difficult and expensive: budwood from tested plants is grafted onto sensitive Vitis indicators and the appearance of symptoms is monitored for 3 years. The etiology of rugose wood is complex and has not yet been elucidated. Several elongated clostero-like viruses are consistently found in affected vines; one of them, grapevine virus A (GVA), is close

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Christopher, David A., and Avihai Danon. Plant Adaptation to Light Stress: Genetic Regulatory Mechanisms. United States Department of Agriculture, 2004. http://dx.doi.org/10.32747/2004.7586534.bard.

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Original Objectives: 1. Purify and biochemically characterize RB60 orthologs in higher plant chloroplasts; 2. Clone the gene(s) encoding plant RB60 orthologs and determine their structure and expression; 3. Manipulate the expression of RB60; 4. Assay the effects of altered RB60 expression on thylakoid biogenesis and photosynthetic function in plants exposed to different light conditions. In addition, we also examined the gene structure and expression of RB60 orthologs in the non-vascular plant, Physcomitrella patens and cloned the poly(A)-binding protein orthologue (43 kDa RB47-like protein).

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Turner, John. Evaluation of Elongation Criteria and Friction Loss in Ground Anchors. Deep Foundations Institute, 2014. http://dx.doi.org/10.37308/cpf-2013-soil-1.

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This report describes a research project for evaluating the applicability of the widely accepted 80 percent criterion for elongation of ground anchors to anchors with unbonded lengths exceeding 100 feet. This issue is driven by several recent projects involving ground anchors for landslide stabilization in which a significant percentage of the anchors did not meet the criterion that requires measured elongation during proof load testing of at least 80 percent of the theoretical elastic elongation. The projects involved anchor unbonded lengths in the range of 85 to 220 feet, which is outside th

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