Donsker’s Delta Functional of Stochastic Processes with Memory by Herry Pribawanto Suryawan

“…As an application, the existence of the renormalized local times in an arbitrary dimension of the Riemann-Liouville fractional Brownian motion as a white noise generalized function was proved.…”
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Formation of a management strategy for innovation and investment activities of an enterprise by Groshev Artem, Solodilov Maxim, Gusev Pavel, Malysheva Anna

“…Single events and their classification are considered. A generalized function for ensuring fault tolerance in the design of integrated circuits is introduced. …”
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Certain subclasses of spiral-like functions associated with q-analogue of Carlson-Shaffer operator by Tamer M. Seoudy, Amnah E. Shammaky

“…In this paper, making use of the q-analogue of Carlson-Shaffer operator Lq(a,c) we introduce a new subclass of spiral-like functions and discuss some subordination results and Fekete-Szego problem for this generalized function class. Further, some known and new results which follow as special cases of our results are also mentioned.…”
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A Non-Convex Fractional-Order Differential Equation for Medical Image Restoration by Chenwei Li, Donghong Zhao

“…We propose a new non-convex fractional-order Weber multiplicative denoising variational generalized function, which leads to a new fractional-order differential equation, and prove the existence of a unique solution to this equation. …”
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Some Properties of Euler’s Function and of the Function <i>τ</i> and Their Generalizations in Algebraic Number Fields by Nicuşor Minculete, Diana Savin

“…In this paper, we find some inequalities which involve Euler’s function, extended Euler’s function, the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>τ</mi></semantics></math></inline-formula>, and the generalized function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>τ</mi></semantics></math></inline-formula> in algebraic number fields.…”
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Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators by Mohammad Azadi, Emad Azadi, S. Ahmad Fazelzadeh

“…The governing equations of motion are derived based on the generalized function theory and Lagrange-Rayleigh-Ritz technique, considering the Euler-Bernoulli beam theory. …”
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Simulation of interfacial debonding in hollow particle reinforced composites with VCFEM by Zhiyi Wang, Rui Zhang

“…In this paper, a new VCFEM is proposed to solve this problem by establishing a two-dimensional Voronoi cell finite element model, deriving the residual energy generalized function of hollow particle-reinforced composites, and calculating the interface debonding. …”
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Progress of the Identification of Noise Sources and Analysis of Noise Source Mechanisms in Jets by ZHAI Chaohui, LIU Yanchen, DU Yongle

“…By explicitly formulating the former as the generalized function of the latter, the dynamic process how turbulent eddies generate noise radiations is revealed.…”
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Design of a Competency Assessment System for English Teaching Positions Based on the SERVQUAL Model by Liu Fengmei

“…On the basis of information fusion and time series analysis, a quantitative recursive assessment of English education job competence was carried out using the gray model to obtain the feature extraction results of the job competence assessment and finally to determine the probability density generalized function of English teaching job competence. …”
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ABOUT A «DIGITAL TWIN» OF A FOOD PRODUCT by Marina A. Nikitina, Irina M. Chernukha, Andrey B. Lisitsyn

“…The universal method for assessment of quality and efficiency of a food product digital twin using the generalized function (integral index) is described. Different individual responses can be components of the additive integral index: physico-chemical, functional-technological and organoleptic.…”
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Closed system of coupling effects in generalized thermo-elastoplasticity by Z. Śloderbach

“…In general formulation, the plastic strain rate tensor is normal to the surface of the generalized function of plastic flow defined in the the space of internal thermodynamic forces Π but is not normal to the yield surface. …”
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Sea Echoes for Airborne HF/VHF Radar: Mathematical Model and Simulation by Fan Ding, Chen Zhao, Zezong Chen, Jian Li

“…At last, a comparison of NRCS using the SPM and the generalized function method (GFM) is done and analyzed. The mathematical model links the sea echoes and the ocean wave height spectrum, and it also offers a theoretical basis for designing a potential airborne HF/VHF radar for ocean surface remote sensing.…”
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Simulation Study on the Application of the Generalized Entropy Concept in Artificial Neural Networks by Krzysztof Gajowniczek, Arkadiusz Orłowski, Tomasz Ząbkowski

“…This paper undertakes the effort to examine the q -generalized function based on Tsallis statistics as an alternative error measure in neural networks. …”
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APPROXIMATION OF POSITIONAL IMPULSE CONTROLS FOR DIFFERENTIAL INCLUSIONS by Ivan A. Finogenko, Alexander N. Sesekin

“…Such a control ("running impulse"), as a generalized function, has no meaning and is formalized as a sequence of correcting impulse actions on the system corresponding to a directed set of partitions of the control interval. …”
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On the Weyl Transform with Symbol in the Gel&#39;fand-Shilov Space and its Dual Space by YASUYUKI OKA

“…The other one is that the Weyl transform with symbol in the generalized function (l r r )1, r &#8805; 1/2 , is a continuous linear transformation from the Gel&#39;fand-Shilov space l r r to (l r r )¹. …”
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Identification of Non-Stationary Objects Based on Training a Neural Network and Tuning the Parameters of a Generalized Model by Jumanov Isroil, Kholmonov Sunatillo

“…The possibilities of algorithms based on mechanisms that use statistical, dynamic, specific data characteristics, as well as the properties of self-adaptation, approximation, organization, self-learning of neural networks have been expanded. A generalized function identification algorithm has been developed and its functions have been expanded by adaptive segmentation of time series, setting the informative interval of element values, the size of the training set, training multilayer neural networks, database, and knowledge base. …”
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Transmembrane Facilitation of Lactate/H⁺ Instead of Lactic Acid Is Not a Question of Semantics but of Cell Viability by Annika Bader, Eric Beitz

“…In conclusion, we propose to include FNT-type proteins into a more generalized, function-based transporter definition.…”
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Generalized Quantification Function of Monogenic Phase Congruency by Manuel G. Forero, Carlos A. Jacanamejoy, Maximiliano Machado, Karla L. Penagos

“…Therefore, this article proposes the development of a generalized function for quantifying phase congruency, based on the family of functions that, according to a previous study, yielded the best results in edge detection.…”
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Conformal loop ensembles and the Gaussian free field by Watson, Samuel Stewart, 1986-

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Lower and upper bounds for lifespan of solutions to viscoelastic hyperbolic equations with variable sources and damping terms by Lili Dai, Zhuo Zhang

“…Another one is that there exists a gap between the norm and the modular to the generalized function space, which leads to the failure of the Poincaré inequality for modular form. …”
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