Relevant bibliographies by topics / Singular functions

Academic literature on the topic 'Singular functions'

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Published: 14 March 2023

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Journal articles on the topic "Singular functions"

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Gorkin, Pamela, and Raymond Mortini. "Universal Singular Inner Functions." Canadian Mathematical Bulletin 47, no. 1 (March 1, 2004): 17–21. http://dx.doi.org/10.4153/cmb-2004-003-0.

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AbstractWe show that there exists a singular inner function S which is universal for noneuclidean translates; that is one for which the set is locally uniformly dense in the set of all zero-free holomorphic functions in bounded by one.
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Ryabininf, A. A., V. D. Bystritskii, and V. A. Il'ichev. "Singular Strictly Monotone Functions." Mathematical Notes 76, no. 3/4 (September 2004): 407–19. http://dx.doi.org/10.1023/b:matn.0000043468.33152.2d.

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Giorgadze, G., V. Jikia, and G. Makatsaria. "Singular Generalized Analytic Functions." Journal of Mathematical Sciences 237, no. 1 (January 5, 2019): 30–109. http://dx.doi.org/10.1007/s10958-019-4143-7.

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Horvat, Lana, and Darko Žubrinić. "Maximally singular Sobolev functions." Journal of Mathematical Analysis and Applications 304, no. 2 (April 2005): 531–41. http://dx.doi.org/10.1016/j.jmaa.2004.09.047.

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Grossmann, Christian, Lars Ludwig, and Hans-Görg Roos. "Layer-adapted methods for a singularly perturbed singular problem." Computational Methods in Applied Mathematics 11, no. 2 (2011): 192–205. http://dx.doi.org/10.2478/cmam-2011-0010.

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Abstract In the present paper we analyze linear finite elements on a layer adapted mesh for a boundary value problem characterized by the overlapping of a boundary layer with a singularity. Moreover, we compare this approach numerically with the use of adapted basis functions, in our case modified Bessel functions. It turns out that as well adapted meshes as adapted basis functions are suitable where for our one-dimensional problem adapted bases work slightly better.
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Nakai, Mitsuru, Shigeo Segawa, and Toshimasa Tada. "Surfaces carrying no singular functions." Proceedings of the Japan Academy, Series A, Mathematical Sciences 85, no. 10 (December 2009): 163–66. http://dx.doi.org/10.3792/pjaa.85.163.

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Nakai, Mitsuru, and Shigeo Segawa. "Existence of singular harmonic functions." Kodai Mathematical Journal 33, no. 1 (March 2010): 99–115. http://dx.doi.org/10.2996/kmj/1270559160.

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Estrada, Ricardo, and S. A. Fulling. "How singular functions define distributions." Journal of Physics A: Mathematical and General 35, no. 13 (March 22, 2002): 3079–89. http://dx.doi.org/10.1088/0305-4470/35/13/304.

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Delaye, A. "Quadrature formulae for singular functions." International Journal of Computer Mathematics 23, no. 2 (January 1988): 167–76. http://dx.doi.org/10.1080/00207168808803615.

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Žubrinić, Darko. "Singular sets of Sobolev functions." Comptes Rendus Mathematique 334, no. 7 (January 2002): 539–44. http://dx.doi.org/10.1016/s1631-073x(02)02316-6.

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Dissertations / Theses on the topic "Singular functions"

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Penso, Valentina <1988&gt. "Singular Sets of Generalized Convex Functions." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amsdottorato.unibo.it/7882/1/Penso_Valentina_Tesi.pdf.

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In the first part of the dissertation we prove that, under quite general conditions on a cost function $c$ in $\RR^n$, the Hausdorff dimension of the singular set of a $c$-concave function has dimension at most $n-1$. Our result applies for non-semiconcave cost functions and has applications in optimal mass transportation. The purpose of the second part of the thesis is to extend a result of Alberti and Ambrosio about singularity sets of monotone multivalued maps to the sub-Riemannian setting of Heisenberg groups. We prove that the $k$-th horizontal singular set of a $H$-monotone multivalued map of the Heisenberg group $\HH^n$, with values in $\RR^{2n}$, has Hausdorff dimension at most $2n+2-k$.
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Kytmanov, Aleksandr, Simona Myslivets, and Nikolai Tarkhanov. "Removable singularities of CR functions on singular boundaries." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2583/.

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The problem of analytic representation of integrable CR functions on hypersurfaces with singularities is treated. The nature o singularities does not matter while the set of singularities has surface measure zero. For simple singularities like cuspidal points, edges, corners, etc., also the behaviour of representing analytic functions near singular points is studied.
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Neuner, Christoph. "Generalized Titchmarsh-Weyl functions and super singular perturbations." Licentiate thesis, Stockholms universitet, Matematiska institutionen, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-113389.

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In this thesis we study certain singular Sturm-Liouville differential expressions from an operator theoretic point of view.In particular we are interested in expressions that involve strongly singular potentials as introduced by Gesztesy and Zinchenko.On the ODE side, analyzing these expressions involves the so-called $m$-functions, often generalized Nevanlinna functions, who encapsulate spectral information of the underlying problem.The aim of the two papers in this thesis is to further understanding on the operator theory side.In the first paper, we use a model for super singular perturbations to describe a family of induced self-adjoint realizations of a perturbed Schr\"o\-din\-ger operator, i.e., with a potential of the form $c/x^2 + q$ where $q$ is a perturbation.Following the unperturbed example of Kurasov and Luger, we find that the so-called $Q$-function appearing in this approach is in good agreement with the above named $m$-function.Furthermore, we show that the operator model can be chosen such that $Q \equiv m$.In the second paper, we present a negative result in this area, namely that the supersingular perturbations model cannot be used for all strongly singular potentials.For a potential with a stronger singularity at the origin, namely $1/x^4$, we discuss the asymptotic behaviour of the Weyl solution at zero.It turns out that this function cannot be regularized appropriately and the operator model breaks down.
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Vutha, Amit C. "Normal Forms and Unfoldings of Singular Strategy Functions." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1385461288.

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Raeisidehkordi, Hengameh. "Finsler Transnormal Functions and Singular Foliations of Codimension 1." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05042018-210826/.

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Transnormal functions are generalization of distance functions and this topic has some applications in Physics and real world problems. In this work, some results are generalized from Riemannian case to the Finsler one. Moreover certain new phenomena that happen only in Finsler spaces are discussed. To have a better understanding, certain examples based on the mentioned results in Randers spaces are provided. Moreover, some applications on propagation of waves of fire and water are introduced
As funções transnormais são a generalização da função de distância e este tópico tem algumas aplicações em Física e no mundo real. Neste trabalho, alguns resultados do caso riemanniana para o Finsler são generalizados. Alem disso, alguns fenômenos novos que ocorrem apenas nos espaços de Finsler são discutidos. Para ter uma melhor compreensão, são fornecidos certos exemplos com base nos resultados mencionados nos espaços de Randers. Além disso, algumas aplicações sobre propagação de ondas de fogo e água são introduzidas.
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Coiculescu, Ion. "Dynamics, Thermodynamic formalism and Perturbations of Transcendental Entire Functions of Finite Singular Type." Thesis, University of North Texas, 2005. https://digital.library.unt.edu/ark:/67531/metadc4783/.

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In this dissertation, we study the dynamics, fractal geometry and the topology of the Julia set of functions in the family H which is a set in the class S, the Speiser class of entire transcendental functions which have only finitely many singular values. One can think of a function from H as a generalized expanding function from the cosh family. We shall build a version of thermodynamic formalism for functions in H and we shall show among others, the existence and uniqueness of a conformal measure. Then we prove a Bowen's type formula, i.e. we show that the Hausdorff dimension of the set of returning points, is the unique zero of the pressure function. We shall also study conjugacies in the family H, perturbation of functions in the family and related dynamical properties. We define Perron-Frobenius operators for some functions naturally associated with functions in the family H and then, using fundamental properties of these operators, we shall prove the important result that the Hausdorff dimension of the subset of returning points depends analytically on the parameter taken from a small open subset of the n-dimensional parameter space.
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Nguyen, Van Luong. "On regular and singular points of the minimum time function." Doctoral thesis, Università degli studi di Padova, 2014. http://hdl.handle.net/11577/3424058.

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In this thesis, we study the regularity of the minimum time function Τ for both linear and nonlinear control systems in Euclidean space. We first consider nonlinear problems satisfying Petrov condition. In this case, Τ is locally Lipschitz and then is differentiable almost everywhere. In general, Τ fails to be differentiable at points where there are multiple time optimal trajectories and its differentiability at a point does not guarantee continuous differentiability around this point. We show that, under some regularity assumptions, the non-emptiness of proximal subdifferential of the minimum time function at a point x implies its continuous differentiability on a neighborhood of Υ. The technique consists of deriving sensitivity relations for the proximal subdifferential of the minimum time function and excluding the presence of conjugate points when the proximal subdifferential is nonempty. We then study the regularity the minimum time function Τ to reach the origin under controllability conditions which do not imply the Lipschitz continuity of Τ. Basing on the analysis of zeros of the switching function, we find out singular sets (e.g., non - Lipschitz set, non - differentiable set) and establish rectifiability properties for them. The results imply further regularity properties of Τ such as the SBV regularity, the differentiability and the analyticity. The results are mainly for linear control problems.
La presente tesi è dedicata allo studio della regolarità della funzione tempo minimo Τ per sistemi di controllo sia lineari che non lineari in dimensione finita. Si considerano dapprima problemi non lineari in cui la condizione di controllabilità detta di Petrov è soddisfatta. Come è ben noto, in questo caso Τ è localmente Lipschitziana e quindi è differenziabile quasi ovunque. In generale, Τ non è differenziabile nei punti dai quali escono diverse traiettorie ottimali e inoltre il fatto che Τ è differenziabile in un punto non garantisce che lo sia in un intorno (l'insieme dei punti di differenziabilità non è aperto). Imponendo alcune condizioni di regolarità sulla dinamica, si dimostra che se il sottodifferenziale prossimale di Τ è non vuoto in un punto x, allora Τ è differenziabile in tutto un intorno di x. La tecnica usata consiste nel derivare relazioni di sensitività per il sottodifferenziale prossimale di Τ e nell'escludere la presenza di punti coniugati dove tale sottodifferenziale è non vuoto. In secondo luogo si studia la regolarità di Τ sotto condizioni di controllabilità più generali, tali da non imporre la Lipschitzianità. In questo caso il bersaglio è l'origine e la dinamica è -- principalmente -- lineare a coefficienti costanti. Si identificano alcuni insiemi singolari (cioè dove Τ non è differenziabile), ad esempio l'insieme dove Τ non è Lipschitz e l'insieme dei punti dove l'insieme raggiungibile presenta più di un versore normale, e si dimostrano risultati di rettificabilità, in questo modo mostrando che sono ``molto piccoli''. Come conseguenza si ricavano ulteriori risultati di regolarità per Τ, fra i quali la regolarità SBV e la differenziabilità e l'analiticità in aperti il cui complementare ha dimensione inferiore a quella dello spazio degli stati. La tecnica usata è basata principalmente su un'analisi accurata degli zeri della cosiddetta funzione di switching.
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Schürmann, Jörg. "Topology of singular spaces and constructible sheaves /." Basel [u.a.] : Birkhäuser, 2003. http://www.loc.gov/catdir/toc/fy0803/2003062963.html.

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Pham, Hoang. "A perturbation solution for forced response of systems displaying eigenvalue veering and mode localization." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/19120.

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Du, Zhe. "A description of discrete spectrum of (spin(10,2) x SL(2, R)) and singular theta correspondence /." View abstract or full-text, 2009. http://library.ust.hk/cgi/db/thesis.pl?MATH%202009%20DU.

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Books on the topic "Singular functions"

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Campos, L. M. B. C. Singular Differential Equations and Special Functions. Boca Raton: CRC Press, Taylor & Francis Group, 2018.: CRC Press, 2019. http://dx.doi.org/10.1201/9780429030369.

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Kokilashvili, V. M. Maksimalʹnye funkt͡s︡ii i singuli͡a︡rnye integraly v vesovykh funkt͡s︡ionalʹnykh prostranstvakh. Tbilisi: Izd-vo "Met͡s︡niereba", 1985.

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David, Guy. Wavelets and singularintegrals on curves and surfaces. Berlin: Springer-Verlag, 1991.

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Algebraic analysis of singular perturbation. Providence, R.I: American Mathematical Society, 2005.

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David, Guy. Wavelets and singular integrals on curves and surfaces. Berlin: Springer-Verlag, 1991.

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Sidi, Avram. Numerical quadrature methods for integrals of singular periodic functions and their application to singular and weakly singular integral equations. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1986.

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Theory of entire and meromorphic functions: Deficient and asymptotic values and singular directions. Providence, R.I: American Mathematical Society, 1993.

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Kislyakov, Sergey. Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals. Basel: Springer Basel, 2013.

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Wegert, Elias. Nonlinear boundary value problems for holomorphic functions and singular integral equations. Berlin: Akademie Verlag, 1992.

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Suwa, T. Indices of vector fields and residues of singular holomorphic foliations. Paris: Hermann, 1998.

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Book chapters on the topic "Singular functions"

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Goulart de Siqueira, José Carlos, and Benedito Donizeti Bonatto. "Singular Functions." In Introduction to Transients in Electrical Circuits, 79–154. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-68249-1_2.

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Zheng, Jianhua. "Singular Values of Meromorphic Functions." In Value Distribution of Meromorphic Functions, 229–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12909-4_6.

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Calderón, A. P., and A. Zygmund. "Singular integrals and periodic functions." In Selected Papers of Antoni Zygmund, 131–53. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-1045-4_5.

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Kannan, R., and Carole King Krueger. "Cantor Sets and Singular Functions." In Universitext, 181–215. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4613-8474-8_9.

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Omori, Hideki, Yoshiaki Maeda, Naoya Miyazaki, and Akira Yoshioka. "Singular Systems of Exponential Functions." In Noncommutative Differential Geometry and Its Applications to Physics, 169–86. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0704-7_11.

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Kechris, Alexander S. "Sets of everywhere singular functions." In Lecture Notes in Mathematics, 233–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0076223.

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Rakityansky, Sergei A. "Singular and Low-Dimensional Potentials." In Jost Functions in Quantum Mechanics, 473–506. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-07761-6_16.

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Lange, Horst, Markus Poppenberg, and Holger Teismann. "Nonlinear Singular Schrödinger-Type Equations." In Nonlinear Theory of Generalized Functions, 113–28. Boca Raton: Routledge, 2022. http://dx.doi.org/10.1201/9780203745458-10.

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Campos, L. M. B. C. "Existence Theorems and Special Functions." In Singular Differential Equations and Special Functions, 1–318. Boca Raton: CRC Press, Taylor & Francis Group, 2018.: CRC Press, 2019. http://dx.doi.org/10.1201/9780429030369-9.

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Dzhuraev, A. "On Singular Integral Equations Approach to Generalized Analytic Functions." In Generalized Analytic Functions, 17–25. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4613-3332-6_2.

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Conference papers on the topic "Singular functions"

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Riesco, Adrián, and Juan Rodríguez-Hortalá. "Programming with singular and plural non-deterministic functions." In the ACM SIGPLAN 2010 workshop. New York, New York, USA: ACM Press, 2010. http://dx.doi.org/10.1145/1706356.1706373.

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Graglia, Roberto D., Paolo Petrini, Ladislau Matekovits, and Andrew F. Peterson. "Singular and hierarchical vector functions for multiscale problems." In 2016 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2016. http://dx.doi.org/10.1109/aps.2016.7695828.

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Bibby, Malcolm M., Andrew F. Peterson, and Charles M. Coldwell. "High-order basis functions for singular currents at corners." In 2007 IEEE Antennas and Propagation Society International Symposium. IEEE, 2007. http://dx.doi.org/10.1109/aps.2007.4396827.

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Graglia, Roberto D., Andrew F. Peterson, Ladislau Matekovits, and Paolo Petrini. "The performance of additive singular basis functions for triangles." In 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2013. http://dx.doi.org/10.1109/iceaa.2013.6632514.

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Shelkovich, V. M. "Singular solutions to systems of conservation laws and their algebraic aspects." In Linear and Non-Linear Theory of Generalized Functions and its Applications. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2010. http://dx.doi.org/10.4064/bc88-0-20.

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Noblesse, Francis, Chi Yang, Dane Hendrix, and Rainald Lo¨hner. "Alternative Boundary-Integral Representations of Ship Waves." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28481.

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The fundamental problem of determining the free-surface potential flow that corresponds to a given flow at a ship hull surface is reconsidered. Stokes’ theorem is used to transform the dipole distribution over the ship hull surface in the classical boundary-integral representation of the velocity potential. This Stokes’ transformation yields a weakly-singular boundary-integral representation that defines the potential in terms of the Green function G and related functions that are no more singular than G. Accordingly, the velocity representation only involves functions that are no more singular than ∇G.
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Li, Yi, and David P. Woodruff. "On approximating functions of the singular values in a stream." In STOC '16: Symposium on Theory of Computing. New York, NY, USA: ACM, 2016. http://dx.doi.org/10.1145/2897518.2897581.

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ŽUBRINIĆ, DARKO. "HAUSDORFF DIMENSION OF SINGULAR SETS OF SOBOLEV FUNCTIONS AND APPLICATIONS." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0076.

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Capozzoli, Amedeo, Claudio Curcio, and Angelo Liseno. "SVO and Singular Functions Quadrature in Near-Field Antenna Measurements." In 2021 15th European Conference on Antennas and Propagation (EuCAP). IEEE, 2021. http://dx.doi.org/10.23919/eucap51087.2021.9410958.

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"On singular value functions and Hankel operators for nonlinear systems." In Proceedings of the 1999 American Control Conference. IEEE, 1999. http://dx.doi.org/10.1109/acc.1999.786467.

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Reports on the topic "Singular functions"

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Campbell, Stephen L., and Kevin D. Yeomans. Solving Singular Systems Using Orthogonal Functions. Fort Belvoir, VA: Defense Technical Information Center, October 1987. http://dx.doi.org/10.21236/ada190881.

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Lagutin, Andrey, and Tatyana Sidorina. SYSTEM OF FORMATION OF PROFESSIONAL AND PERSONAL SELF-GOVERNMENT AMONG CADETS OF MILITARY INSTITUTES. Science and Innovation Center Publishing House, December 2020. http://dx.doi.org/10.12731/self-government.

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When carrying out professional activities, officers of the VNG of the Russian Federation are often in difficult, stressful, emotionally stressful situations associated with the use of weapons as a particularly dangerous means of destruction. The right to use a weapon by an officer makes him responsible for its use. And therefore requires the officer to make a balanced optimal decision, which is associated with the risk and transience of events, and in which no mistake can be made, since the price of it can be someone's life. It is at such a moment that it is important that the officer has stable skills in making a decision on the use of weapons, and this requires skills not only in managing subordinates or the situation,but in managing himself. The complication of the military-professional activity, manifested in the need to develop the ability to quickly and accurately make command decisions, exacerbating the problem of social responsibility of an officer who has the management of unit that leads to an understanding of his singular personal and professional responsibility, as the ability to govern themselves makes it possible to achieve a positive result of the Department for the DBA. This characterizes the need for a commander to have the ability to manage himself, as a "system" that manages others. Forming skills of self-control, patience, compassion, having mastered algorithms of making managerial decisions, the cycle of implementing managerial functions, etc., a person comes to the belief: "before effectively managing others, it is necessary to learn how to manage yourself." The required level of personal and professional maturity can be formed in a person as a result of purposeful self-management, which determines the special role of professional and personal self-management in the training of future officers.
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A.A. Bingham, R.M. Ferrer, and A.M. ougouag. Nodal Green?s Function Method Singular Source Term and Burnable Poison Treatment in Hexagonal Geometry. Office of Scientific and Technical Information (OSTI), September 2009. http://dx.doi.org/10.2172/983357.

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Kushner, Harold J. Functional Occupation Measures and Ergodic Cost Problems for Singularly Perturbed Stochastic Systems. Fort Belvoir, VA: Defense Technical Information Center, April 1989. http://dx.doi.org/10.21236/ada208578.

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Jung, Carina, Karl Indest, Matthew Carr, Richard Lance, Lyndsay Carrigee, and Kayla Clark. Properties and detectability of rogue synthetic biology (SynBio) products in complex matrices. Engineer Research and Development Center (U.S.), September 2022. http://dx.doi.org/10.21079/11681/45345.

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Synthetic biology (SynBio) aims to rationally engineer or modify traits of an organism or integrate the behaviors of multiple organisms into a singular functional organism through advanced genetic engineering techniques. One objective of this research was to determine the environmental persistence of engineered DNA in the environment. To accomplish this goal, the environmental persistence of legacy engineered DNA building blocks were targeted that laid the foundation for SynBio product development and application giving rise to “post-use products.” These building blocks include genetic constructs such as cloning and expression vectors, promoter/terminator elements, selectable markers, reporter genes, and multi-cloning sites. Shotgun sequencing of total DNA from water samples of pristine sites was performed and resultant sequence data mined for frequency of legacy recombinant DNA signatures. Another objective was to understand the fate of a standardized contemporary synthetic genetic construct (SC) in the context of various chassis systems/genetic configurations representing different degrees of “genetic bioavailability” to the environmental landscape. These studies were carried out using microcosms representing different environmental matrices (soils, waters, wastewater treatment plant (WWTP) liquor) and employed a novel genetic reporter system based on volatile organic compounds (VOC) detection to assess proliferation and persistence of the SC in the matrix over time.
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