Academic literature on the topic 'Class of functions'

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Journal articles on the topic "Class of functions"

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Jakubowski, Zbigniew Jerzy, and Krystyna Zyskowska. "On an estimate of a functional in the class of holomorphic univalent functions." Mathematica Bohemica 118, no. 3 (1993): 281–96. http://dx.doi.org/10.21136/mb.1993.125927.

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Myerson, G. "First-Class Functions." American Mathematical Monthly 98, no. 3 (March 1991): 237. http://dx.doi.org/10.2307/2325027.

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Myerson, G. "First-Class Functions." American Mathematical Monthly 98, no. 3 (March 1991): 237–40. http://dx.doi.org/10.1080/00029890.1991.11995733.

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Frasin, B. A., and M. Darus. "On certain analytic univalent functions." International Journal of Mathematics and Mathematical Sciences 25, no. 5 (2001): 305–10. http://dx.doi.org/10.1155/s0161171201004781.

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We consider the class of analytic functionsB(α)to investigate some properties for this class. The angular estimates of functions in the classB(α)are obtained. Finally, we derive some interesting conditions for the class of strongly starlike and strongly convex of orderαin the open unit disk.
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Noor, Khalida I., and Sumayya A. Al-Bany. "On Bazilevic functions." International Journal of Mathematics and Mathematical Sciences 10, no. 1 (1987): 79–88. http://dx.doi.org/10.1155/s0161171287000103.

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LetB(β)be the class of Bazilevic functions of typeβ(β>0). A functionf ϵ B(β)if it is analytic in the unit discEandRezf′(z)f1−β(z)gβ(z)>0, wheregis a starlike function. We generalize the classB(β)by takinggto be a function of radius rotation at mostkπ(k≥2). Archlength, difference of coefficient, Hankel determinant and some other problems are solved for this generalized class. Fork=2, we obtain some of these results for the classB(β)of Bazilevic functions of typeβ.
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Duke, W., J. Friedlander, and H. Iwaniec. "Class group $L$ -functions." Duke Mathematical Journal 79, no. 1 (July 1995): 1–56. http://dx.doi.org/10.1215/s0012-7094-95-07901-0.

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Bakherad, Mojtaba, Hassane Abbas, Bassam Mourad, and Mohammad Sal Moslehian. "Operator P-class functions." Journal of Inequalities and Applications 2014, no. 1 (2014): 451. http://dx.doi.org/10.1186/1029-242x-2014-451.

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Arov, D. Z. "Functions of class II." Journal of Soviet Mathematics 31, no. 1 (October 1985): 2645–59. http://dx.doi.org/10.1007/bf02107246.

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Singh, Vikramaditya. "On a class of univalent functions." International Journal of Mathematics and Mathematical Sciences 23, no. 12 (2000): 855–57. http://dx.doi.org/10.1155/s0161171200001824.

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We consider the class of univalent functionsf(z)=z+a3z3+a4z4+⋯analytic in the unit disc and satisfying|(z2f′(z)/f2(z))−1|<1, and show that such functions are starlike if they satisfy|(z2f′(z)/f2(z))−1|<(1/2).
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Lusztig, G. "On induction of class functions." Representation Theory of the American Mathematical Society 25, no. 13 (May 7, 2021): 412–21. http://dx.doi.org/10.1090/ert/561.

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Let G G be a connected reductive group defined over a finite field F q \mathbf {F}_q and let L L be a Levi subgroup (defined over F q \mathbf {F}_q ) of a parabolic subgroup P P of G G . We define a linear map from class functions on L ( F q ) L(\mathbf {F}_q) to class functions on G ( F q ) G(\mathbf {F}_q) . This map is independent of the choice of P P . We show that for large q q this map coincides with the known cohomological induction (whose definition involves a choice of P P ).
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Dissertations / Theses on the topic "Class of functions"

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Harper, John-Paul. "The class number one problem in function fields." Thesis, Stellenbosch : Stellenbosch University, 2003. http://hdl.handle.net/10019.1/53619.

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Thesis (MComm)--Stellenbosch University, 2003.
ENGLISH ABSTRACT: In this dissertation I investigate the class number one problem in function fields. More precisely I give a survey of the current state of research into extensions of a rational function field over a finite field with principal ring of integers. I focus particularly on the quadratic case and throughout draw analogies and motivations from the classical number field situation. It was the "Prince of Mathematicians" C.F. Gauss who first undertook an in depth study of quadratic extensions of the rational numbers and the corresponding rings of integers. More recently however work has been done in the situation of function fields in which the arithmetic is very similar. I begin with an introduction into the arithmetic in function fields over a finite field and prove the analogies of many of the classical results. I then proceed to demonstrate how the algebra and arithmetic in function fields can be interpreted geometrically in terms of curves and introduce the associated geometric language. After presenting some conjectures, I proceed to give a survey of known results in the situation of quadratic function fields. I present also a few results of my own in this section. Lastly I state some recent results regarding arbitrary extensions of a rational function field with principal ring of integers and give some heuristic results regarding class groups in function fields.
AFRIKAANSE OPSOMMING: In hierdie tesis ondersoek ek die klasgetal een probleem in funksieliggame. Meer spesifiek ondersoek ek die huidige staat van navorsing aangaande uitbreidings van 'n rasionale funksieliggaam oor 'n eindige liggaam sodat die ring van heelgetalle 'n hoofidealgebied is. Ek kyk in besonder na die kwadratiese geval, en deurgaans verwys ek na die analoog in die klassieke getalleliggaam situasie. Dit was die beroemde wiskundige C.F. Gauss wat eerste kwadratiese uitbreidings van die rasionale getalle en die ooreenstemende ring van heelgetalle in diepte ondersoek het. Onlangs het wiskundiges hierdie probleme ook ondersoek in die situasie van funksieliggame oor 'n eindige liggaam waar die algebraïese struktuur baie soortgelyk is. Ek begin met 'n inleiding tot die rekenkunde in funksieliggame oor 'n eindige liggaam en bewys die analogie van baie van die klassieke resultate. Dan verduidelik ek hoe die algebra in funksieliggame geometries beskou kan word in terme van kurwes en gee 'n kort inleiding tot die geometriese taal. Nadat ek 'n paar vermoedes bespreek, gee ek 'n oorsig van wat alreeds vir quadratiese funksieliggame bewys is. In hierdie afdeling word 'n paar resultate van my eie ook bewys. Dan vermeld ek 'n paar resultate aangaande algemene uitbreidings van 'n rasionale funksieliggaam oor 'n eindige liggaam waar die van ring heelgetalle 'n hoofidealgebied is. Laastens verwys ek na 'n paar heurisitiese resultate aangaande klasgroepe in funksieliggame.
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Soler, i. Gibert Odí. "Approximation in the Zygmund Class and Distortion under Inner Functions." Doctoral thesis, Universitat Autònoma de Barcelona, 2020. http://hdl.handle.net/10803/670865.

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En aquest treball es tracten dos problemes. El primer és un problema d’aproximació en la classe de Zygmund per funcions del subespai I_1(BMO), que és l’espai de funcions contínues amb derivada a BMO en el sentit de les distribucions. Considerem la distància definida per la semi-norma de Zygmund. En el Capítol 1, donada una funció f de la classe de Zygmund en la recta real amb suport compacte, trobem una estimació de la seva distància al subespai I_1(BMO). A més, aquest resultat s’expressa en termes de les segones diferències de f, que defineixen la seva semi-norma de Zygmund. Com a corol·lari, obtenim una caracterització de la clausura de l’espai I_1(BMO) en aquesta semi-norma. Els mètodes presentats en aquesta primera part no es poden aplicar al cas de la classe de Zygmund a l’espai euclidià de dimensió n>1. Tanmateix, presentem un resultat anàleg per mesures de Zygmund en dimensió n>=1. En aquest cas, el subespai que considerem és el de mesures absolutament contínues amb derivada de Radon-Nykodim en l’espai BMO. En el Capítol 2, considerem l’espai de funcions amb continuïtat Hölder de paràmetre 0=1. Per 0En este trabajo se tratan dos problemas. El primero es un problema de aproximación en la clase de Zygmund por funciones del subespacio I_1(BMO), que es el espacio de funciones continuas con derivada en BMO en el sentido de las distribuciones. Consideramos la distancia definida por la semi-norma de Zygmund. En el Capítulo 1, dada una función f de la clase de Zygmund en la recta real con soporte compacto, encontramos una estimación de su distancia al subespacio I_1(BMO). Además, este resultado se expresa mediante las segundas diferencias de f, que definen su semi-norma de Zygmund. Como corolario, obtenemos una caracterización de la clausura del espacio I_1(BMO) en esta semi-norma. Los métodos presentados en esta primera parte no son aplicables al caso de la clase de Zygmund en el espacio euclidiano de dimensión n>1. No obstante, presentamos un resultado análogo para medidas de Zygmund en dimensión n>=1. En este caso, el subespacio que consideramos es el de medidas absolutamente continuas con derivada de Radon-Nykodim en el espacio BMO. En el Capítulo 2, consideramos el espacio de funciones continuas Hölder de parámetro 0=1. Para 0In this work we deal with two different problems. The first one is an approximation problem in the Zygmund class by functions in the subspace I_1(BMO), which is the space of continuous functions with derivative in BMO in the sense of distributions. We consider the distance defined by the Zygmund semi-norm. In Chapter 1, given a function f in the Zygmund class in the real line with compact support, we find an estimate of its distance to the subspace I_1(BMO). In addition, this result is expressed in terms of the second differences of f, which define its Zygmund semi-norm. As a corollary, we obtain a characterisation of the closure of I_1(BMO) in this semi-norm. The methods presented in this first part are not applicable to the Zygmund class in the euclidean space of dimension n>1. However, we present an analogous result for Zygmund measures in dimension n>=1. In this case, the subspace that we consider is the space of absolutely continuous measures with Radon-Nykodim derivative in BMO. In Chapter 2, we consider the space of Hölder continuous functions with parameter 0=1. For 0
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Carroy, Raphaël. "Functions of the first Baire class." Paris 7, 2013. http://www.theses.fr/2013PA077071.

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Le but de cette thèse est de trouver de nouveaux outils permettant mieux comprendre les fonctions boréliennes. L'analyse qui nous sert de modèle est celle de Wadge des ensembles boréliens, et l'horizon lointain de ce projet est d'obtenir une hiérarchie des fonctions aussi fine que celle de Wadge l'est pour les ensembles. Nous nous sommes concentrés sur l'analyse de la première classe de Baire, et particulièrement sur les fonctions continues. Au vu de l'importance des jeux dans l'analyse de Wadge, ce sont d'abord les outils que nous avons cherché à développer. Nous nous sommes donc restreints aux espaces 0-dimensionnels, dans lesquels lies jeux sont possibles. Les fonctions considérées ici sont donc de et [dans un fermé de l'espace de Baire. Le premier but est de trouver des méthodes de théorie des jeux et les utiliser pour prouver des résultats concernant les fonctions de première classe, nous donnons ainsi de nouvelles preuves du Grand héorème de Baire, ainsi que du Théorème de Jayne-Rogers. Ensuite, nous définissons un quasi-ordre pour les fonctions qui préserve la simplicité de celles-ci, par exemple leur classe de Baire. On utilise la simplicité du quasi-ordre, i. E. Le fait d'être bon ou non, comme critère principal pour choisir entre différentes notions préservant la simplicité des fonctions. Prouver qu'un quasi-ordre assez fin, comme celui que nous voulons définir, est bon, est loin d'être une tâche aisée, donc nous indiquons celui qui a le plus de chances de jl'etre, et commençons à l'étudier sur les fonctions continues
IThe aim of this thesis is to provide new tools for handling and getting |a better understanding of Borel functions. We take the Wadge analysis |on sets as a role model for our analysis of functions, and the far horizon of the project is to get a description of functions that is as precise as the Wadge hierarchy on sets is. We focus on the first Baire (class and specifically on the continuous functions. The use of games in the analysis of the Wadge hierarchy being central, games are the first tools that we try to develop. The framework that (allows to mix games and functions is given by the Polish and 0-(dimensional spaces. So from this point onwards, we only consider (functions from and into a closed subspace of the Baire space. The first idea for this thesis is to find purely game-theoretical methods (and use them to provide new proofs of the Baire Lemma on pointwise (convergence or of the Jayne-Rogers Theorem. Then, as a second approach, we look for a reduction notion for functions that preserves the simplicity of these, so for instance the Baire class. We use the simplicity of the quasi-order, i. E. It being a well-quasi-order, as a major criterion to choose between several notions that preserve the regularity of functions. It is far from being [an easy task to prove that a fine quasi-order is a wqo, so we describe the one candidate that is most likely on a very wide class of functions. Then we begin to study it on the restricted class of continuous functions
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Mohamed, Abdlgader. "A new class of coherent states and it's properties." Thesis, University of Bradford, 2011. http://hdl.handle.net/10454/5724.

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The study of coherent states (CS) for a quantum mechanical system has received a lot of attention. The definition, applications, generalizations of such states have been the subject of work by researchers. A common starting point of all these approaches is the observation of properties of the original CS for the harmonic oscillator. It is well-known that they are described equivalently as (a) eigenstates of the usual annihilation operator, (b) from a displacement operator acting on a fundamental state and (c) as minimum uncertainty states. What we observe in the different generalizations proposed is that the preceding definitions are no longer equivalent and only some of the properties of the harmonic oscillator CS are preserved. In this thesis we propose to study a new class of coherent states and its properties. We note that in one example our CS coincide with the ones proposed by Glauber where a set of three requirements for such states has been imposed. The set of our generalized coherent states remains invariant under the corresponding time evolution and this property is called temporal stability. Secondly, there is no state which is orthogonal to all coherent states (the coherent states form a total set). The third property is that we get all coherent states by acting on one of these states [¿fiducial vector¿] with operators. They are highly non-classical states, in the sense that in general, their Bargmann functions have zeros which are related to negative regions of their Wigner functions. Examples of these coherent states with Bargmann function that involve the Gamma and also the Riemann ¿ functions are represented. The zeros of these Bargmann functions and the paths of the zeros during time evolution are also studied.
Libyan Cultural Affairs
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Mohamed, Abdlgader. "A new class of coherent states and its properties." Thesis, University of Bradford, 2011. http://hdl.handle.net/10454/5724.

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The study of coherent states (CS) for a quantum mechanical system has received a lot of attention. The definition, applications, generalizations of such states have been the subject of work by researchers. A common starting point of all these approaches is the observation of properties of the original CS for the harmonic oscillator. It is well-known that they are described equivalently as (a) eigenstates of the usual annihilation operator, (b) from a displacement operator acting on a fundamental state and (c) as minimum uncertainty states. What we observe in the different generalizations proposed is that the preceding definitions are no longer equivalent and only some of the properties of the harmonic oscillator CS are preserved. In this thesis we propose to study a new class of coherent states and its properties. We note that in one example our CS coincide with the ones proposed by Glauber where a set of three requirements for such states has been imposed. The set of our generalized coherent states remains invariant under the corresponding time evolution and this property is called temporal stability. Secondly, there is no state which is orthogonal to all coherent states (the coherent states form a total set). The third property is that we get all coherent states by acting on one of these states ['fiducial vector'] with operators. They are highly non-classical states, in the sense that in general, their Bargmann functions have zeros which are related to negative regions of their Wigner functions. Examples of these coherent states with Bargmann function that involve the Gamma and also the Riemann ⲝ functions are represented. The zeros of these Bargmann functions and the paths of the zeros during time evolution are also studied.
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Caldas, Miguel, Saeid Jafari, and R. M. Latif. "Β - open sets and a new class of functions." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96443.

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The concept of (b, s)-continuous functions in topological spaces is introduced and studied. Some of their characteristic properties are considered. Also we investigate the relationships between these classes of functions and other classes of functions.
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Krasowska, Anna Ewa. "Wigner functions for a class of semidirect product groups." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/NQ63982.pdf.

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Obeid, Nabil. "Absolutely continuous invariant measures for a class of meromorphic functions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0024/MQ39959.pdf.

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Yokura, Shoji, and yokura@sci kagoshima-u. ac jp. "Bivariant Theories of Constructible Functions and Grothendieck." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi930.ps.

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ICHIHARA, Yumiko, and Kohji MATSUMOTO. "On the siegel-Tatuzawa theorem for a class of L-functions." Faculty of mathematics, Kyushu University, 2008. http://hdl.handle.net/2237/13841.

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Books on the topic "Class of functions"

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Chaudhry, M. Aslam. On a class of incomplete gamma functions with applications. Boca Raton: CRC Press, 2002.

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M, Zubair Syed, ed. On a class of incomplete gamma functions with applications. Boca Raton: CRC Press, 2002.

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Krueger, Alan B. Experimental estimates of education production functions. Cambridge, MA: National Bureau of Economic Research, 1997.

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Niki, Naoto. On computing the exact power functions for a general class of sequential tests. Fukuoka, Japan: [Kyushu University Research Institute of Fundamental Information Science, 1987.

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Iwasawa theory of elliptic curves withcomplex multiplication: P-adic L functions. Boston: Academic Press, 1987.

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Schonberger, Richard J. Building a chain of customers: Linking business functions to create the world class company. New York: Free Press, 1990.

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Schonberger, Richard. Building a chain of customers: Linking business functions to create the world class company. New York: Free Press, 1990.

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Jennifer's memoirs: Eighty-five years of fun and functions. London: HarperCollins, 1992.

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Shalit, Ehud De. Iwasawa theory of elliptic curves with complex multiplication: P-adic L functions. Boston: Academic Press, 1987.

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Fiorenza, Renato. Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47940-8.

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Book chapters on the topic "Class of functions"

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Horton, Ivor, and Peter Van Weert. "First-Class Functions." In Beginning C++20, 713–40. Berkeley, CA: Apress, 2020. http://dx.doi.org/10.1007/978-1-4842-5884-2_19.

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Horton, Ivor, and Peter Van Weert. "First-Class Functions." In Beginning C++17, 695–720. Berkeley, CA: Apress, 2018. http://dx.doi.org/10.1007/978-1-4842-3366-5_18.

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Urbanowicz, Jerzy, and Kenneth S. Williams. "Class Number Congruences." In Congruences for L-Functions, 51–76. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9542-1_2.

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Halter-Koch, Franz. "Functional equations and Artin L functions." In Class Field Theory and L Functions, 441–554. Boca Raton: Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9780429506574-7.

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Liseau, René, Dario Lorenzetti, and Luigi Spinoglio. "Class I Luminosity Functions." In Astrophysics and Space Science Library, 595. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0794-5_79.

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Mesnager, Sihem. "Class $$\mathcal{H}$$ , Niho Bent Functions and o-Polynomials." In Bent Functions, 153–70. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32595-8_8.

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Shimura, Goro. "Class-fields and automorphic functions." In Collected Papers, 544–63. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4612-2074-9_22.

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Horton, Ivor. "Class Inheritance and Virtual Functions." In Ivor Horton's Beginning Visual C++® 2010, 549–643. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2014. http://dx.doi.org/10.1002/9781118983942.ch9.

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Steinberg, Benjamin. "7 Characters and Class Functions." In Representation Theory of Finite Monoids, 103–22. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-43932-7_7.

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Halter-Koch, Franz. "Global class field theory." In Class Field Theory and L Functions, 369–440. Boca Raton: Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9780429506574-6.

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Conference papers on the topic "Class of functions"

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Fortuna, Luigi, Mattia Frasca, and Maria Gabriella Xibilia. "A class of generalized orthonormal functions." In 2013 European Conference on Circuit Theory and Design (ECCTD). IEEE, 2013. http://dx.doi.org/10.1109/ecctd.2013.6662193.

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Fitri, Sa’adatul. "The class of alpha-convex functions." In INTERNATIONAL CONFERENCE AND WORKSHOP ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (ICWOMAA 2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5016643.

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Lee, Zhi-Ying, Chi-Yuan Yeh, and Shie-Jue Lee. "Applying Discriminant Functions with One-Class SVMS for Multi-Class Classification." In 2007 International Conference on Machine Learning and Cybernetics. IEEE, 2007. http://dx.doi.org/10.1109/icmlc.2007.4370467.

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Aoen, Shuhai Li. "Certain new class of multivalent functions associated with Generalized Hypergeometric Functions." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002664.

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Huang, Huawei. "A New Class of Pseudo-random Functions." In 2009 Asia-Pacific Conference on Information Processing, APCIP. IEEE, 2009. http://dx.doi.org/10.1109/apcip.2009.201.

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Alhindi, Khadeejah Rasheed, and Maslina Darus. "Study on new class of convex functions." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882580.

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SUN, WENCHANG, DEYUN YANG, and XINGWEI ZHOU. "A SPECIAL CLASS OF WAVELET FRAME FUNCTIONS." In Proceedings of the International Conference of Computational Harmonic Analysis. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776679_0015.

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Cuff, Paul. "A class of log-optimal utility functions." In 2012 Information Theory and Applications Workshop (ITA). IEEE, 2012. http://dx.doi.org/10.1109/ita.2012.6181818.

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Canteaut, Anne, Pascale Charpin, and Gohar M. Kyureghyan. "A new class of monomial bent functions." In 2006 IEEE International Symposium on Information Theory. IEEE, 2006. http://dx.doi.org/10.1109/isit.2006.261790.

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Özdemir, M. Emin, Alper Ekinci, Mustafa Gürbüz, and Ahmet Ocak Akdemir. "Simpson type inequalities for Q- class functions." In FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS: ICAAM 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4747673.

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Reports on the topic "Class of functions"

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Mudaliar, Saba. Asymptotic Expansions for a Class of Hypergeometric Functions. Fort Belvoir, VA: Defense Technical Information Center, August 1992. http://dx.doi.org/10.21236/ada280374.

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Altınkaya, Şahsene, Shigeyoshi Owa, and Sibel Yalçın. On a New Class of Analytic Functions Related to Fractional Calculus. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, January 2020. http://dx.doi.org/10.7546/crabs.2020.01.02.

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Miller, Allen R., and Ira S. Moskowitz. Reduction of a Class of Fox-Wright PSI Functions for Certain Rational Parameters. Fort Belvoir, VA: Defense Technical Information Center, January 1995. http://dx.doi.org/10.21236/ada465435.

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Kong, W. Y., and V. Rokhlin. A New Class of Highly Accurate Differentiation Schemes Based on the Prolate Spheroidal Wave Functions. Fort Belvoir, VA: Defense Technical Information Center, April 2011. http://dx.doi.org/10.21236/ada555160.

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Bottcher, C., MR Strayer, and M. F. Werby. Solution of a Class of Strum-Liouville Problems Using the Galerkin Method with Global Basis Functions. Fort Belvoir, VA: Defense Technical Information Center, January 1992. http://dx.doi.org/10.21236/ada257803.

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Romero, Vicente, Matthew Bonney, Benjamin Schroeder, and V. Gregory Weirs. Evaluation of a Class of Simple and Effective Uncertainty Methods for Sparse Samples of Random Variables and Functions. Office of Scientific and Technical Information (OSTI), November 2017. http://dx.doi.org/10.2172/1409725.

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Brucker, Blaine R., and K. J. Merrill. The National Shipbuilding Research Program. 1989 Ship Production Symposium. Paper No. 1: Computer Integration of SEAWOLF Class Submarine Life Cycle Functions. Fort Belvoir, VA: Defense Technical Information Center, September 1989. http://dx.doi.org/10.21236/ada453648.

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Khrykov, Yevhen M., Alla A. Kharkivska, and Halyna F. Ponomarova. Modeling the training system of masters of public service using Web 2.0. [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3862.

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Abstract:
The article concerns grounding the technology of training masters of public service with the use of Web 2.0. This technology is based on the concept of sign-contextual learning, the positions of the laboratory-brigade method, the concept of Web 2.0, case technology, project method, problem learning. The main features of this technology are changes in the correlation between theoretical and practical training, in-class and individual studying; changing teachers’ functions; extensive use of information technology capabilities in learning.
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Baader, Franz, and Oliver Fernández Gil. Decidability and Complexity of Threshold Description Logics Induced by Concept Similarity Measures. Technische Universität Dresden, 2016. http://dx.doi.org/10.25368/2022.229.

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In a recent research paper, we have proposed an extension of the lightweight Description Logic (DL) EL in which concepts can be defined in an approximate way. To this purpose, the notion of a graded membership function m, which instead of a Boolean membership value 0 or 1 yields a membership degree from the interval [0; 1], was introduced. Threshold concepts can then, for example, require that an individual belongs to a concept C with degree at least 0:8. Reasoning in the threshold DL T EL(m) obtained this way of course depends on the employed graded membership function m. The paper defines a specific such function, called deg, and determines the exact complexity of reasoning in T EL(deg). In addition, it shows how concept similarity measures (CSMs) ~ satisfying certain properties can be used to define graded membership functions m~, but it does not investigate the complexity of reasoning in the induced threshold DLs T EL(m~). In the present paper, we start filling this gap. In particular, we show that computability of ~ implies decidability of T EL(m~), and we introduce a class of CSMs for which reasoning in the induced threshold DLs has the same complexity as in T EL(deg).
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Lers, Amnon, and Pamela J. Green. LX Senescence-Induced Ribonuclease in Tomato: Function and Regulation. United States Department of Agriculture, September 2003. http://dx.doi.org/10.32747/2003.7586455.bard.

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Natural leaf senescence, which occurs even when growth conditions are near optimal, has a negative influence on yield. Postharvest induced senescence contributes to the losses of quality in flowers, foliage, and vegetables. Strategies designed to control the senescence process in crop plants could therefore have great applied significance. However, the successful design of such strategies requires a better insight into the senescence machinery and control in higher plants. A main feature of senescence is the hydrolysis of macromolecules by hydrolases of various types such as ribonucleases (RNases) and proteases. Previously we had identified and characterized the tomato LX RNase gene demonstrating its transcript to be highly and specifically induced during senescence. This reported study was focused on LX but also had broadened our research to other senescence-associated nucleic acids degrading enzymes to learn about their function and the regulation of their encoding genes. Beside tomato we used parsley and Arabidopsis for the study of: the bi-functional nuclease which has a role in senescence. The study of different senescence- associated nucleases in few plant systems will allow a more general view on function and regulation of these enzymes in senescence. The specific original proposed objectives included: 1. Study the consequences of alterations in LX RNase level on tomato leaf senescence and general development; 2. Analyze stimuli which may participate in senescence-specific activation of the LX gene; 3. Clone the senescence-associated BFNI nuclease gene homologue from tomato. 4. Further characterize the sequences required for senescence-specific gene expression. Homozygous transgenic plants in which LX gene was either inhibited or over-expressed were generated. In both of these LX mutated plants no major phenotypic consequences were observed, which may suggests that LX is not essential for plant growth under optimal growth conditions. Lack of any abnormalities in the LX over-expressing lines suggests that special system exist to allow function of the RNase only when needed. Detailed analyses of growth under stress and consequences to RNA metabolism are underway. We have analyzed LX expression on the protein level demonstrating that it is involved also in petal senescing. Our results suggest that LX is responding to complex regulation involving developmental, organ dependent factors and responds differently to hormonal or environmental stimuli in the different plant organs. The cloned 1.4 kb promoter was cloned and its analysis revealed that probably not all required elements for senescence induction are included. Biochemical analysis of senescence-associated be-functional nucleases in the different plants, tomato, parsley and Arabidopsis, suggests they belong to a sub-class within the type I plant nucleases. The parsley PcNUC1/2 nuclease protein was purified from senescing leaves its and activity was studied in vitro revealing endo-, double strand, nucleolytic activity and exo-nucleolytic activity. Its encoding gene was cloned and found to be induced on the mRNA level. The promoter of the related Arabidopsis BFNI nuclease was shown in both tomato and Arabidopsis to be able and direct senescence-specific expression suggesting that, at least part, the gene is regulated on the transcriptional level and that the mechanism for this senescence-specific regulation is conserved between different plants. Few plants in which the BFNI gene is mutated were identified which are subjected now to detailed analysis. Our results suggest that the senescence-related nucleic acid degrading enzymes share similarities in both function and regulation between different plants and possibly have important functions in processes un-related to senescence. Still, the function of these enzymes, at least in some cases is not essential to plant development under optimal growth conditions. We are now at the stage which permits in depth investigation of the specific functions and mode of molecular regulation of senescence-associated nucleases with the aid of the research tools developed. The isolated senescence-specific promoter, shown to be active in heterologous plant system, could be utilized in agricultural-related biotechnological applications for retardation of senescence.
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