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23642
Analytical approximations and decision-making techniques for power systems under uncertainty
Published 2023“…The thesis also approaches small-signal stability from the network structure-preserving differential algebraic equation formulation point of view, using a logarithmic norm. …”
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Thesis-Doctor of Philosophy -
23643
Convolutional neural network designed as small truth tables, application to cryptography, formal verification & explainability
Published 2024“…The versatility of this LTT filter lies in its ability to be converted, after training, into various forms, including a truth table, conjunctive normal form (CNF), disjunctive normal form (DNF), algebraic normal form (ANF), optimal implementation in Boolean gates (optimal if the computation of its complete distribution can be done in less than \(2^{12}\) operations), Boolean rule, and reduced ordered binary decision diagram (ROBDD). …”
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Thesis-Doctor of Philosophy -
23644
On the Use of Population Data for Training Seasonal Local Models-Based Glucose Predictors: An <i>In Silico</i> Study
Published 2023-04-01“…Seasonal stochastic models are data-driven algebraic models that use recent history data and periodic trends to accurately estimate time series data, such as glucose concentration in diabetes. …”
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23645
Equalizing ideal for integer-valued polynomials over the upper triangular matrix ring
Published 2023-08-01“….$$ The first systematic study of the algebraic properties of ${\operatorname{Int}}(D)$ was done in consecutive 1919 papers of Ostrowski [8] and Polya [9] of the same title. …”
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23646
On the existence of Levi Foliations
Published 2001-03-01“…In other words, if <img ALIGN="BOTTOM" BORDER="0" src="http:/img/fbpe/aabc/v73n1/0059img5.gif" ALT="$ cal {L}$"> is a 3 dimensional analytic foliation such that the induced complex distribution defines an holomorphic foliation <img ALIGN="BOTTOM" BORDER="0" src="http:/img/fbpe/aabc/v73n1/0059img6.gif" ALT="$ cal {F}$">; that is, if <img ALIGN="BOTTOM" BORDER="0" src="http:/img/fbpe/aabc/v73n1/0059img5.gif" ALT="$ cal {L}$"> is a Levi foliation; then <img ALIGN="BOTTOM" BORDER="0" src="http:/img/fbpe/aabc/v73n1/0059img6.gif" ALT="$ cal {F}$"> admits a Liouvillian first integral--a function which can be constructed by the composition of rational functions, exponentiation, integration, and algebraic functions (Singer 1992). For example, if f is an holomorphic function and if theta is real a 1-form on <img ALIGN="BOTTOM" BORDER="0" src="http:/img/fbpe/aabc/v73n1/0059img8.gif" ALT="$ mathbb {R}$">; then the pull-back of theta by f defines a Levi foliation <img ALIGN="BOTTOM" BORDER="0" src="http:/img/fbpe/aabc/v73n1/0059img5.gif" ALT="$ cal {L}$"> : f*theta = 0 which is tangent to the holomorphic foliation <img ALIGN="BOTTOM" BORDER="0" src="http:/img/fbpe/aabc/v73n1/0059img6.gif" ALT="$ cal {F}$"> : df = 0. …”
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Article -
23647
Editorial: Special Issue on Computational Problems in Applied Mathematics
Published 2014-01-01“…CFD is the art of replacing such partial differential equation systems by a set of algebraic equations which can be solved using digital computers. …”
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23648
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23649
Faculty Performance Evaluation through Multi-Criteria Decision Analysis Using Interval-Valued Fermatean Neutrosophic Sets
Published 2023-09-01“…The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>I</mi><mi>V</mi><mi>F</mi><msub><mrow><mi>N</mi></mrow><mrow><mi>s</mi><mi>e</mi><mi>t</mi></mrow></msub></mrow></semantics></math></inline-formula> contains the interval-valued <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi mathvariant="bold-script">T</mi><mi mathvariant="bold-italic">r</mi></mrow><mrow><mi mathvariant="bold-italic">m</mi><mi mathvariant="bold-italic">e</mi><mi mathvariant="bold-italic">m</mi><mi mathvariant="bold-italic">b</mi><mi mathvariant="bold-italic">e</mi><mi mathvariant="bold-italic">r</mi><mi mathvariant="bold-italic">s</mi><mi mathvariant="bold-italic">h</mi><mi mathvariant="bold-italic">i</mi><mi mathvariant="bold-italic">p</mi></mrow></msub></mrow></semantics></math></inline-formula> value, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi mathvariant="bold-script">I</mi><mi mathvariant="bold-italic">n</mi></mrow><mrow><mi mathvariant="bold-italic">m</mi><mi mathvariant="bold-italic">e</mi><mi mathvariant="bold-italic">m</mi><mi mathvariant="bold-italic">b</mi><mi mathvariant="bold-italic">e</mi><mi mathvariant="bold-italic">r</mi><mi mathvariant="bold-italic">s</mi><mi mathvariant="bold-italic">h</mi><mi mathvariant="bold-italic">i</mi><mi mathvariant="bold-italic">p</mi></mrow></msub></mrow></semantics></math></inline-formula> value, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi mathvariant="bold-script">F</mi><mi mathvariant="bold-italic">a</mi></mrow><mrow><mi mathvariant="bold-italic">m</mi><mi mathvariant="bold-italic">e</mi><mi mathvariant="bold-italic">m</mi><mi mathvariant="bold-italic">b</mi><mi mathvariant="bold-italic">e</mi><mi mathvariant="bold-italic">r</mi><mi mathvariant="bold-italic">s</mi><mi mathvariant="bold-italic">h</mi><mi mathvariant="bold-italic">i</mi><mi mathvariant="bold-italic">p</mi></mrow></msub></mrow></semantics></math></inline-formula> for knowledge representation. The algebraic properties and set theory between the interval-valued <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>F</mi><msub><mrow><mi>N</mi></mrow><mrow><mi>s</mi><mi>e</mi><mi>t</mi></mrow></msub></mrow></semantics></math></inline-formula> have also been presented with an illustrative example.…”
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23650
RESOLUCIÓN DE PROBLEMAS MATEMÁTICOS: UN CUESTIONARIO PARA SU EVALUACIÓN Y COMPRENSIÓN
Published 2016-01-01“…</p> <p class="ParrafoIndentParrafos">The results indicates that the comprehension notion is the storyline of the design, implementation and evaluation of the processes of resolving mathematical problems in algebraic context, and its explained in an epistemological, ecological, affective, cognitive, interactional and mediational terms. …”
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23651
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23652
New Bounds and a Generalization for Share Conversion for 3-Server PIR
Published 2022-04-01“…In this work, using some algebraic techniques from the work of Paskin-Cherniavsky and Schmerler, we prove the existence of the conversion for even <i>m</i>’s in case <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula> (we computed <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula> in this case) and the absence of the conversion for even <i>m</i>’s in case <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo>></mo><mn>2</mn></mrow></semantics></math></inline-formula>. …”
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Article -
23653
Evaluation of the Resilience of District 20 of Tehran Metropolitan Region (TMR) against Environmental Hazards Using Fuzzy Functions in GIS Software
Published 2022-06-01“…Among the fuzzy superposition operators, the algebraic addition operator (SUM) had the highest correlation with the research criteria in identifying the resilience of the neighborhoods. …”
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23654
OPTIMAL TUNING OF IMPLEMENTABLE FRACTIONAL ORDER PI CONTROLLERS BASED ON ISE PERFORMANCE INDEX...
Published 2019-05-01“…Also, to avoid approximation error in the calculation of ISE based cost functions, algebraic relations have been used for analytically finding the values of ISE in the under study time delay control system. …”
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23655
ANALYSIS OF CLAMPED CIRCULAR PLATES WITH LARGE DEFLECTIONS THEORY BY EXPONENTIAL SERIES...
Published 2015-08-01“…This approximation is caused to convert partial differential equations to nonlinear algebraic equations, which are easily solved and have high convergence speed. …”
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23656
FINITE ELEMENT ANALYSIS OF LINEAR VISCOELASTIC PROBLEMS USING THE PROPOSED GAUSSIAN-FOURIER SHAPE FUNCT...
Published 2020-08-01“…In this numerical algorithm, the constitutive equations, expressed in an integral form involving the relaxation moduli, are transformed into an incremental algebraic form prior to the development of the finite element formulation. …”
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Article -
23657
The architecture of differences
Published 2021-05-01“…«Architects can influence society with their theories and works, but they are not capable of completing any such transformation on their own, and end up being the interpreters of an overbearing historical reality under which, if the strongest and most honest do not succumb, that therefore means that they alone represent the value of a component that is algebraically added to the others, all acting in the common field» (Rogers, 1951). …”
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