Relevant bibliographies by topics / $\varphi$ functions

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

Academic literature on the topic '$\varphi$ functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "$\varphi$ functions"

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Peleshenko, B. I. "On boundedness of operators of weak type $(\varphi_0, \psi_0, \varphi_1, \psi_1)$ in Lorentz spaces in limit cases." Researches in Mathematics 15 (February 15, 2021): 107. http://dx.doi.org/10.15421/240716.

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We prove theorems on boundedness of operators of weak type $(\varphi_0, \psi_0, \varphi_1, \psi_1)$ from Lorentz space $\Lambda_{\varphi,a}(\mathbb{R}^n)$ to $\Lambda_{\varphi,b}(\mathbb{R}^n)$ in “limit” cases, when one of functions $\varphi(t) / \varphi_0(t)$, $\varphi(t) / \varphi_1(t)$ slowly changes at zero and at infinity.
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Bayer, Tomáš. "Plotting the map projection graticule involving discontinuities based on combined sampling." Geoinformatics FCE CTU 17, no. 2 (August 23, 2018): 31–64. http://dx.doi.org/10.14311/gi.17.2.3.

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This article presents new algorithm for interval plotting the projection graticule on the interval $\varOmega=\varOmega_{\varphi}\times\varOmega_{\lambda}$ based on the combined sampling technique. The proposed method synthesizes uniform and adaptive sampling approaches and treats discontinuities of the coordinate functions $F,G$. A full set of the projection constant values represented by the projection pole $K=[\varphi_{k},\lambda_{k}]$, two standard parallels $\varphi_{1},\varphi_{2}$ and the central meridian shift $\lambda_{0}^{\prime}$ are supported. In accordance with the discontinuity direction it utilizes a subdivision of the given latitude/longitude intervals $\varOmega_{\varphi}=[\underline{\varphi},\overline{\varphi}]$, $\varOmega_{\lambda}=[\underline{\lambda},\overline{\lambda}]$ to the set of disjoint subintervals $\varOmega_{k,\varphi}^{g},$$\varOmega_{k,\lambda}^{g}$ forming tiles without internal singularities, containing only "good" data; their parameters can be easily adjusted. Each graticule tile borders generated over $\varOmega_{k}^{g}=\varOmega_{k,\varphi}^{g}\times\varOmega_{k,\lambda}^{g}$ run along singularities. For combined sampling with the given threshold $\overline{\alpha}$ between adjacent segments of the polygonal approximation the recursive approach has been used; meridian/parallel offsets are $\Delta\varphi,\Delta\lambda$. Finally, several tests of the proposed algorithms are involved.
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Rooin, Jamal, Akram Alikhani, and Mohammad Sal Moslehian. "Operator m-convex functions." Georgian Mathematical Journal 25, no. 1 (March 1, 2018): 93–107. http://dx.doi.org/10.1515/gmj-2017-0045.

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AbstractThe aim of this paper is to present a comprehensive study of operatorm-convex functions. Let{m\in[0,1]}, and{J=[0,b]}for some{b\in\mathbb{R}}or{J=[0,\infty)}. A continuous function{\varphi\colon J\to\mathbb{R}}is called operatorm-convex if for any{t\in[0,1]}and any self-adjoint operators{A,B\in\mathbb{B}({\mathscr{H}})}, whose spectra are contained inJ, we have{\varphi(tA+m(1-t)B)\leq t\varphi(A)+m(1-t)\varphi(B)}. We first generalize the celebrated Jensen inequality for continuousm-convex functions and Hilbert space operators and then use suitable weight functions to give some weighted refinements. Introducing the notion of operatorm-convexity, we extend the Choi–Davis–Jensen inequality for operatorm-convex functions. We also present an operator version of the Jensen–Mercer inequality form-convex functions and generalize this inequality for operatorm-convex functions involving continuous fields of operators and unital fields of positive linear mappings. Employing the Jensen–Mercer operator inequality for operatorm-convex functions, we construct them-Jensen operator functional and obtain an upper bound for it.
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Castillo, René E., Julio C. Ramos-Fernández, and Harold Vacca-González. "Properties of multiplication operators on the space of functions of bounded φ-variation." Open Mathematics 19, no. 1 (January 1, 2021): 492–504. http://dx.doi.org/10.1515/math-2021-0050.

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Abstract In this paper, the functions u ∈ B V φ [ 0 , 1 ] u\in B{V}_{\varphi }\left[0,1] which define compact and Fredholm multiplication operators M u {M}_{u} acting on the space of functions of bounded φ \varphi -variation are studied. All the functions u ∈ B V φ [ 0 , 1 ] u\hspace{-0.08em}\in \hspace{-0.08em}B{V}_{\varphi }\left[0,\hspace{-0.08em}1] which define multiplication operators M u : B V φ [ 0 , 1 ] → B V φ [ 0 , 1 ] {M}_{u}:B{V}_{\varphi }\left[0,1]\to B{V}_{\varphi }\left[0,1] with closed range are characterized.
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Kofanov, V. A., and I. V. Popovich. "Sharp Nagy type inequalities for the classes of functions with given quotient of the uniform norms of positive and negative parts of a function." Researches in Mathematics 28, no. 1 (August 19, 2020): 3. http://dx.doi.org/10.15421/242001.

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For any $p\in (0, \infty],$ $\omega > 0,$ $d \ge 2 \omega,$ we obtain the sharp inequality of Nagy type$$\|x_{\pm}\|_\infty \le\frac{\|(\varphi+c)_{\pm}\|_\infty}{\|\varphi+c\|_{L_p(I_{2\omega})}} \left\|x \right\|_{L_{p} \left(I_d \right)}$$on the set $S_{\varphi}(\omega)$ of $d$-periodic functions $x$ having zeros with given the sine-shaped $2\omega$-periodiccomparison function $\varphi$, where $c\in [-\|\varphi\|_\infty, \|\varphi\|_\infty]$ is such that$$ \|x_{+}\|_\infty \cdot\|x_{-}\|^{-1}_\infty = \|(\varphi+c)_{+}\|_\infty \cdot\|(\varphi+c)_{-}\|^{-1}_\infty .$$In particular, we obtain such type inequalities on the Sobolev sets of periodic functions and on the spaces of trigonometric polynomials and polynomial splines with given quotient of the norms $\|x_{+}\|_\infty / \|x_-\|_\infty$.
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Alexandrova, T. V., and V. A. Kofanov. "Sharp inequalities of various metrics on the classes of functions with given comparison function." Researches in Mathematics 29, no. 1 (July 5, 2021): 11. http://dx.doi.org/10.15421/242102.

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For any $q > p > 0$, $\omega > 0,$ $d \ge 2 \omega,$ we obtain the following sharp inequality of various metrics$$\|x\|_{L_q(I_{d})} \le \frac{\|\varphi +c\|_{L_q(I_{2\omega})}}{\|\varphi + c \|_{L_p(I_{2\omega})}}\|x\|_{L_p(I_{d})}$$on the set $S_{\varphi}(\omega)$ of $d$-periodic functions $x$ having zeros with given the sine-shaped $2\omega$-periodic comparison function $\varphi$, where $c\in [-\|\varphi\|_\infty, \|\varphi\|_\infty]$ is such that$$\|x_{\pm}\|_{L_p(I_{d})} = \|(\varphi +c)_{\pm}\|_{L_p(I_{2\omega})}\,.$$In particular, we obtain such type inequalities on the Sobolev sets of periodic functions and on the spaces of trigonometric polynomials and polynomial splines with given quotient of the norms $\|x_{+}\|_{L_p(I_{d})} / \|x_-\|_{L_p(I_{d})}$.
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Zivari-Kazempour, Abbas, and Mohammad Reza Hadadi. "Some properties of $varphi$-convex functions." Mathematical Analysis and Convex Optimization 1, no. 2 (December 1, 2020): 121–27. http://dx.doi.org/10.29252/maco.1.2.12.

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Yao, Jen-Chih, Xi Yin Zheng, and Jiangxing Zhu. "Stable Minimizers of $\varphi$-Regular Functions." SIAM Journal on Optimization 27, no. 2 (January 2017): 1150–70. http://dx.doi.org/10.1137/16m1086741.

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Ciemnoczołowski, J., and W. Orlicz. "Composing functions of bounded $\varphi$-variation." Proceedings of the American Mathematical Society 96, no. 3 (March 1, 1986): 431. http://dx.doi.org/10.1090/s0002-9939-1986-0822434-6.

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Zivari-Kazempour, Abbas, and Mohammad Reza Hadadi. "Some properties of $varphi$-convex functions." Mathematical Analysis and Convex Optimization 1, no. 2 (December 1, 2020): 121–27. http://dx.doi.org/10.29252/maco.1.2.12.

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Dissertations / Theses on the topic "$\varphi$ functions"

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Al-Mohy, Awad. "Algorithms for the matrix exponential and its Fréchet derivative." Thesis, University of Manchester, 2011. https://www.research.manchester.ac.uk/portal/en/theses/algorithms-for-the-matrix-exponential-and-its-frechet-derivative(4de9bdbd-6d79-4e43-814a-197668694b8e).html.

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New algorithms for the matrix exponential and its Fréchet derivative are presented. First, we derive a new scaling and squaring algorithm (denoted expm[new]) for computing eA, where A is any square matrix, that mitigates the overscaling problem. The algorithm is built on the algorithm of Higham [SIAM J.Matrix Anal. Appl., 26(4): 1179-1193, 2005] but improves on it by two key features. The first, specific to triangular matrices, is to compute the diagonal elements in the squaring phase as exponentials instead of powering them. The second is to base the backward error analysis that underlies the algorithm on members of the sequence {||Ak||1/k} instead of ||A||. The terms ||Ak||1/k are estimated without computing powers of A by using a matrix 1-norm estimator. Second, a new algorithm is developed for computing the action of the matrix exponential on a matrix, etAB, where A is an n x n matrix and B is n x n₀ with n₀ << n. The algorithm works for any A, its computational cost is dominated by the formation of products of A with n x n₀ matrices, and the only input parameter is a backward error tolerance. The algorithm can return a single matrix etAB or a sequence etkAB on an equally spaced grid of points tk. It uses the scaling part of the scaling and squaring method together with a truncated Taylor series approximation to the exponential. It determines the amount of scaling and the Taylor degree using the strategy of expm[new].Preprocessing steps are used to reduce the cost of the algorithm. An important application of the algorithm is to exponential integrators for ordinary differential equations. It is shown that the sums of the form $\sum_{k=0}^p\varphi_k(A)u_k$ that arise in exponential integrators, where the $\varphi_k$ are related to the exponential function, can be expressed in terms of a single exponential of a matrix of dimension $n+p$ built by augmenting $A$ with additional rows and columns. Third, a general framework for simultaneously computing a matrix function, $f(A)$, and its Fréchet derivative in the direction $E$, $L_f(A,E)$, is established for a wide range of matrix functions. In particular, we extend the algorithm of Higham and $\mathrm{expm_{new}}$ to two algorithms that intertwine the evaluation of both $e^A$ and $L(A,E)$ at a cost about three times that for computing $e^A$ alone. These two extended algorithms are then adapted to algorithms that simultaneously calculate $e^A$ together with an estimate of its condition number. Finally, we show that $L_f(A,E)$, where $f$ is a real-valued matrix function and $A$ and $E$ are real matrices, can be approximated by $\Im f(A+ihE)/h$ for some suitably small $h$. This approximation generalizes the complex step approximation known in the scalar case, and is proved to be of second order in $h$ for analytic functions $f$ and also for the matrix sign function. It is shown that it does not suffer the inherent cancellation that limits the accuracy of finite difference approximations in floating point arithmetic. However, cancellation does nevertheless vitiate the approximation when the underlying method for evaluating $f$ employs complex arithmetic. The complex step approximation is attractive when specialized methods for evaluating the Fréchet derivative are not available.
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Schäfer, Ingmar Bastian. "Structural insights into the function of the Varp/Vamp7 complex." Thesis, University of Cambridge, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609037.

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Guimar?es, Bruce Franca. "Um estudo sobre fun??es de v?rias vari?veis." UFVJM, 2017. http://acervo.ufvjm.edu.br/jspui/handle/1/1639.

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Submitted by Raniere Barreto (raniere.barros@ufvjm.edu.br) on 2018-04-11T18:25:08Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) bruce_franca_guimaraes.pdf: 1772676 bytes, checksum: 70105fe5762f394af52a5b015acc42e3 (MD5)
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Made available in DSpace on 2018-04-20T13:42:12Z (GMT). No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) bruce_franca_guimaraes.pdf: 1772676 bytes, checksum: 70105fe5762f394af52a5b015acc42e3 (MD5) Previous issue date: 2017
Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior (CAPES)
O foco do presente trabalho ? apresentar um estudo sobre fun??es reais de v?rias vari?veis reais, bem como, estudar as principais t?cnicas envolvendo esse tipo de fun??o. Conv?m destacar os conceitos de limites, derivadas parciais, m?ximos e m?nimos multiplicadores de Lagrange. Na parte final da disserta??o, apresentamos uma aplica??o na Engenharia.
Disserta??o (Mestrado Profissional) ? Programa de P?s-Gradua??o Matem?tica, Universidade Federal dos Vales do Jequitinhonha e Mucuri, 2017.
The focus of the present work is to present a study on the real functions of several real variables, as well as to study the main techniques involving this type of function. It is worth mentioning the concepts of limits, partial derivatives, maximum and minimum and Lagrange multipliers. In the final part of the dissertation, we present an application in Engineering.
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Books on the topic "$\varphi$ functions"

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1941-, Haussmann W., Jetter K, and Reimer Manfred 1933-, eds. Advances in multivariate approximation: Proceedings of the 3rd International Conference on Multivariate Approximation Theory held at Witten-Bommerholz, Germany, September 27-October 2, 1998. Berlin: Wiley-VCH, 1999.

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Jetter, Kurt, International Conference on Multivariate Approximation Theory 1998 wi, Werner Haussmann, and Manfred Reimer. Advances in Multivariate Approximation. Wiley-VCH Verlag GmbH, 1999.

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Book chapters on the topic "$\varphi$ functions"

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de Andrade, Luiza H. F., Francisca L. J. Vieira, and Charles C. Cavalcante. "On Normalization Functions and $$\varphi $$-Families of Probability Distributions." In Signals and Communication Technology, 19–36. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-65459-7_2.

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de Andrade, Luiza H. F., Rui F. Vigelis, Francisca L. J. Vieira, and Charles C. Cavalcante. "Normalization and $$\varphi $$ -function: Definition and Consequences." In Lecture Notes in Computer Science, 231–38. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-68445-1_27.

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"nose family of sugars [178]. Total free sugar content of rye from tubers and roots, particularly potato, sweet potato, and was reported as 3.2%, with sucrose (1.9%), raffinose tapioca (cassava). Isolated starch can be modified physical-(0.4%), fructose (0.1%), and glucose (0.08%) [120]. ly and/or chemically to alter its functional properties. Starches and modified starches have an enormous number Ill. STARCH of food uses, including adhesive, binding, clouding, dust-ing, film forming, and thickening applications [20]. Starch is found in a number of plant sources, and the plant relies on starch for its energy requirements for growth and reproduction. For humans, starch is extremely important as A. Starch Content of Cereals a macronutrient, because it is a complex carbohydrate and The most important sources of starch are cereal grains an important energy source in our diet. (40-90% of their dry weight), pulses (30-70%), and tubers The commercial and technological uses of starch are (65-85%). Of the common starches, regular corn, waxy numerous; this arises from its unique character, because it corn, and high-amylose corn are by far the most important can be used directly as intact granules, in the dispersed sources. The starch content of corn may vary from about form, as a film dried from a dispersion, as an extruded 54% in sweet corn to 64-78% in dent [194]. Corn is large-powder, or after conversion to a mixture of oligosaccha-ly used as stock feed but nevertheless supplies the bulk, by rides or via hydrolysis and isomerization. far, of the world's starch production. Corn starch is manu-When starch is heated in water, it absorbs water and factured by traditional wet-milling process. Only about 5% swells. This is the process of gelatinization, a process that of the annual world maize crop is used for the manufacture cause a tremendous change in rheological properties of the of maize starch. About 70% of the maize starch produced starch suspension. The crystalline structure is destroyed is converted into corn syrups, high-fructose corn syrup, during gelatinization. The ability of starch molecules to and dextrose. Corn starch has a wide variety of industrial crystallize after gelatinization is described by the term of applications, with uses ranging from thickening and retrogradation. Although some retrogradation of amylose gelling agents in puddings and fillings to molding for con-seems to be a prerequisite for the formation of a normal fections [72]. bread crumb, long-term retrogradation usually causes Potato starch is a variable commodity, sensitive to vari-gradual deterioration of bread quality during the products' ety, climate, and agricultural procedure. Potato starch, shelf life [55]. however, is presently second only to corn and comparable Starch occurs as discrete granules in higher plants. Two to wheat in terms of quantity produced and especially pop-major polymers, amylose and amylopectin, are contained in ular in Europe. About 3% of the world crop of potatoes is the granule. Cereal starch granules may also contain small used for the production of potato starch. Potato starch is amounts of proteins, lipids, and minerals [118]. Cereal used in food, paper, textile, and adhesive industries. starches are widely used in foods, where they are important The starch content of wheat has been reported to be in functionally and nutritionally. Commercial starches are ob-the range of 63-72% [147] (Table 2). Wheat starch, found tained from cereal grain seeds, particularly from corn, waxy in the endosperm of the wheat kernel, constitutes approxi-corn, high-amylose corn, wheat, and various rites, and mately 75-80% of the endosperm on a dry basis. The TABLE 2 Carbohydrate Composition of Some Cereal Grains' Sample Starch (%) Amylose (%) Pentosan (%) P-Glucan (%) Total dietary fiber Wheat 63-72 (147) 23.4-27.6 (133) 6.6 (81) 1.4 (151) 14.6 (32) Barley 57.6-59.5 (87) 22-26 (27) 5.9 (82) 3-7 (139) 19.3-22.6 (87) Brown rice 66.4 (104) 16-33 (124) 1.2 (81) 0.11 (102) 3.9 (32) Milled rice 77.6 (104) 7-33 (102) 0.5-1.4 (104) 0.11 (104) 2.4 (32) Sorghum 60-77 (194) 21-28 (127) 1.8-4.9 (127) 1.0 (151) 10.1 (160) Pearl Millet 63 (123) 17 (11) 2-3 (12) 8.5 (32) Corn 64-78 (194) 24 (132) 5.8-6.6 (194) 13.4 (32) Oats 43-61 (143) 16-27 (120) 7.7 (81) 3.9-6.8 (198) 9.6 (32) Rye 69 (168) 24-31 (168) 8.5 (81) 1.9-2.9 (151) 14.6 (32) Triticale 53 (22) 24-26 (40) 7.1 (81) 1.2 (151) 18.1 (32) aSources shown in parentheses." In Handbook of Cereal Science and Technology, Revised and Expanded, 403–4. CRC Press, 2000. http://dx.doi.org/10.1201/9781420027228-40.

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Conference papers on the topic "$\varphi$ functions"

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Gao, Qiaoming, Feng Gao, Guoyan Xu, and Nenggen Ding. "Development and Analysis of Hilly Power Chassis With Vari-Ground Clearance and Vari-Wheel Track Mechanism." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-66823.

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A kind of Hilly Power Chassis with Vari-ground Clearance and Vari-wheel Track Mechanism (VII-HPC) is designed to be adapted to various types of crops grown ridge section and height. It consists of the middle part, balancing system, two driving axles and steering system. These assemblies form an H-type chassis structure where both sides of the driving axle and the middle part are connected for power transmission, ground clearance varying and wheel track adjustable function, which ensures full-time four-wheel drive in a complex road environment and confirms that the middle part is always in the angle bisector of the two driving axles. According to the various agricultural ground clearance and line spacing of different crops in the hilly areas, the ground clearance and the wheel track can be adjusted continuously and smoothly driven by hydraulic system. According to VII-HPC Structural Characteristic without Ackerman Steering Linkage, the hydraulic four wheel steering scheme has been proposed. The related analysis is presented to verify the feasibility of VII-HPC, including the relationship between the ground clearance and parameters like centroid height, and the ride analysis at different speeds on the pulse road. The results and the subsequent experimental results show the design method and the concept of VII-HPC are proved reasonable, feasible and practical.
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Lim, Theodore, Hugo Medellin, Raymond Sung, James Ritchie, and Jonathan Corney. "Virtual Bloxing – Assembly Rapid Prototyping of Near Net Shapes." In ASME-AFM 2009 World Conference on Innovative Virtual Reality. ASMEDC, 2009. http://dx.doi.org/10.1115/winvr2009-723.

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Virtual reality (VR) provides another dimension to many engineering applications. Its immersive and interactive nature allows an intuitive approach to study both cognitive activities and performance evaluation. Market competitiveness means having products meet form, fit and function quickly. Rapid Prototyping and Manufacturing (RP&M) technologies are increasingly being applied to produce functional prototypes and the direct manufacturing of small components. Despite its flexibility, these systems have common drawbacks such as slow build rates, a limited number of build axes (typically one) and the need for post processing. This paper presents a Virtual Assembly Rapid Prototyping (VARP) project to evaluate cognitive activities in assembly tasks via immersive virtual reality along with a novel non-layered rapid prototyping for near net shape (NNS) manufacturing of components. It is envisaged that this integrated project will facilitate a better understanding of design for manufacture and assembly (DFMA) by utilising equivalent scale digital and physical prototyping in one rapid prototyping system.
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Sanders, Charlotta E. "Development of Buildup Factors for Updating the ANSI/ANS-6.4.3 Standard." In 18th International Conference on Nuclear Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/icone18-30212.

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The ANSI/ANS-6.4.3-1991 Standard, Gamma-Ray Attenuation Coefficients and Buildup Factors for Engineering Materials, is currently being updated by an American Nuclear Society (ANS) Working Group. The ANSI/ANS-6.4.3, 1991 standard, which is “withdrawn” due to the failure to meet the requirement of the ANS to have standards updated every ten years, contains buildup factor values that are derived from data that is over seventeen years old. In addition, computer technology has significantly improved since 1991, allowing for more complicated, computationally demanding codes to be utilized. Therefore, the ANSI/ANS-6.4.3-1991 standard is being re-visited to include updated data and to include modern codes. Gamma-ray buildup factors and attenuation coefficients are being generated for common shielding materials (e.g., concrete, steel, water, etc.) utilizing the ENDF/B-VI.8 cross-section data library, which is distributed by Brookhaven National Laboratory’s National Nuclear Data Center (NNDC). One modern code, Monte Carlo N-Particle (MCNP5/MCNPX), is being compared with PALLAS-1D (VII) and Anisotropic Source-Flux Iteration Technique (ASFIT-VARI), which were used to develop values included in ANSI/ANS-6.4.3-1991. PALLAS-1D (VII) is a code for direct integration of transport equation in one-dimensional plane and spherical geometries while ASFIT-VARI is a gamma-ray transport code system for one-dimensional finite systems. MCNP5 is a general purpose Monte Carlo radiation transport code that tracks particles (e.g., neutron and photons) at numerous energies in a three dimensional configuration of materials. The MCNP5 radiation transport code require response function input to provide dose and exposure output. Mass energy-absorption coefficients and mass energy-transfer coefficients are required to develop absorbed dose and exposure responses. The National Institute of Standards and Technology (NIST) provide and maintain the most up-to-date mass energy-absorption coefficient and mass energy-transfer coefficient database currently available. The NIST values are used in these initial buildup factor calculations to prove the validity of the methodology used and allow for preliminary comparisons. The energy absorption (dose in material) and exposure buildup factors are calculated at mfp values of interest, consistent with ANSI/ANS-6.4.3-1991 up to forty mfp. Comparisons between the new buildup factors and the previous results presented in the ANSI/ANS-6.4.3-1991 standard indicate that there is fairly good agreement. Differences in buildup factor values can be attributed to differences in cross-section data libraries, numerical methods, and physics treatments within the respective codes.
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