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2001
PMEDM process parameter optimization for machining superalloy MONEL 400
Published 2025-01-01“…Graphite powder significantly reduced tool wear, while silicon powder significantly enhanced surface finish. Using Buckingham’s theorem and regression analysis, this study presented semi-empirical models for the rate of material removal and looks at how the powder additives’ dielectric properties have changed to improve performance. …”
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Article -
2002
Exponential Growth and Properties of Solutions for a Forced System of Incompressible Navier–Stokes Equations in Sobolev–Gevrey Spaces
Published 2025-01-01“…Utilizing the Banach fixed-point theorem, we demonstrate that the nonlinear operator associated with the Navier–Stokes equations is locally Lipschitz continuous in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>H</mi><mrow><mi>a</mi><mo>,</mo><mi>σ</mi></mrow><mn>1</mn></msubsup><mrow><mo>(</mo><msup><mi mathvariant="double-struck">R</mi><mn>3</mn></msup><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. …”
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Article -
2003
Identification of Spectrally Similar Materials From Multispectral Imagery Based on Condition Number of Matrix
Published 2025-01-01“…The method is constructed based on the theory of condition number of matrix, and a theorem is proven as the foundation of the designed identification algorithm. …”
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Article -
2004
Gravitational odd-parity perturbation of a Horndeski hairy black hole: quasinormal mode and parameter constraint
Published 2025-01-01“…We hope that our findings will inspire further theoretical and phenomenological work on the testing of the no-hair theorem of black holes using gravitational wave physics.…”
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Article -
2005
Fuzzy modeling using the similarity-based approximate reasoning system
Published 2025-01-01“…Second, it is proved that the proposed measures satisfy the properties of the axiomatic definition as well as the other properties by a theorem. Next, we validate the effectiveness of the proposed similarity measure in a bidirectional approximate reasoning system in order to provide a nonlinear mapping of fuzzy input data into fuzzy output data. …”
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Article -
2006
When math legitimizes knowledge: a step by step approach to Bayes’ rule in diagnostic reasoning
Published 2024-11-01“…Probabilistic reasoning is an essential skill to mitigate this confusion, and Bayes theorem is an important tool to accomplish this goal. …”
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Article -
2007
Protecting Medical Images Using a Zero-Watermarking Approach Based on Fractional Racah Moments
Published 2025-01-01“…The FrROMs are derived from a matrix of fractional Racah orthogonal polynomials (FrROPs), which in turn are obtained from the matrix of classical Racah polynomials (ROPs) using the spectral decomposition theorem. To compute the ROPs, we enhanced a method for calculating the initial terms of these polynomials to avoid instability issues associated with higher-order ROPs. …”
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Article -
2008
Discrete Fractional-Order Modeling of Recurrent Childhood Diseases Using the Caputo Difference Operator
Published 2025-01-01“…The existence theory is established using Brouwer’s fixed-point theorem and the Banach contraction principle, providing a comprehensive mathematical foundation for the model. …”
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Article -
2009
Modeling the co-infection of HTLV-2 and HIV-1 in vivo
Published 2024-11-01“…The global asymptotic stability of all equilibria was established by constructing appropriate Lyapunov functions and applying the Lyapunov-LaSalle asymptotic stability theorem. We provide numerical simulations to corroborate the theoretical findings. …”
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Article -
2010
VARTOTOJO SUVERENUMAS: TEORIJA IR PRAKTIKA
Published 2003-01-01“…The consumer welfare (defined by the satisfaction of private (self-regarding) wants) is considered as only a special aspect of total social welfare (including also the satisfaction of non-partial other-regarding (ethical) wants) which is theoretically inconsistent concept because of the unsolved aggregation problems disclosed by famous Arrow theorem. Because of the pluralism of ethical values, visions of good life and good society characteristic for (post)modern Western society, consumer sovereignty is considered as the only viable foundation of economic politics committed to values of tolerance and negative liberty. …”
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Article -
2011
VARTOTOJO SUVERENUMAS: TEORIJA IR PRAKTIKA
Published 2003-01-01“…The consumer welfare (defined by the satisfaction of private (self-regarding) wants) is considered as only a special aspect of total social welfare (including also the satisfaction of non-partial other-regarding (ethical) wants) which is theoretically inconsistent concept because of the unsolved aggregation problems disclosed by famous Arrow theorem. Because of the pluralism of ethical values, visions of good life and good society characteristic for (post)modern Western society, consumer sovereignty is considered as the only viable foundation of economic politics committed to values of tolerance and negative liberty. …”
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Article -
2012
An Effective Iterative Process Utilizing Transcendental Sine Functions for the Generation of Julia and Mandelbrot Sets
Published 2025-01-01“…This study presents an innovative iterative method designed to approximate common fixed points of generalized contractive mappings. We provide theorems that confirm the convergence and stability of the proposed iteration scheme, further illustrated through examples and visual demonstrations. …”
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Article -
2013
Impact of vancomycin area under the curve in early or later phase on efficacy and nephrotoxicity in patients with enterococcal bloodstream infections: a multicenter study
Published 2025-01-01“…The estimates of the mean 24-h area under the curve in the first 72 h (AUC24) and in steady state (AUCss) were determined by Bayesian theorem. Results Overall, 201 vancomycin concentrations were measured within the first 72 h after vancomycin treatment, while 156 were in a steady state (> 72 h). …”
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Article -
2014
Fructosamine measurement for diabetes mellitus diagnosis and monitoring: a systematic review and meta-analysis protocol
Published 2015-05-01“…Negative and positive predictive values will be computed for fructosamine, compared with another measure of glycaemia from the pooled estimates of sensitivity and specificity, using Bayes’ theorem.Ethics and dissemination This systematic review will use data from published studies and does not require ethics approval. …”
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Article -
2015
Subrings of I-rings and S-rings
Published 1997-01-01“…S-ring), whereas its subring B={[α00βα0γ0α]/α,β,γ∈K} which is a commutative ring with a non-principal Jacobson radical J=K.[000100000]+K.[000000100] is not an I-ring (resp. S-ring) (see [4], theorem 8). We recall that commutative I-rings (resp S-tings) are characterized as those whose modules are a direct sum of cyclic modules, these tings are exactly commutative, Artinian, principal ideal rings (see [1]). …”
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Article -
2016
Fractional-order PID feedback synthesis controller including some external influences on insulin and glucose monitoring
Published 2025-02-01“…The model’s positivity, boundedness, and equilibrium solutions are rigorously analyzed to ensure feasibility. Additionally, a new theorem is proven using fixed-point theory, confirming the existence and uniqueness of the fractional-order model. …”
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Article -
2017
An Upper Bound for Locating Strings with High Probability Within Consecutive Bits of Pi
Published 2025-01-01“…This research, grounded in two hypotheses, proposes and proves a theorem that employs a Bernoulli experiment to demonstrate the high probability of encountering any finite bit string within a sequence of consecutive bits in the decimal part of <inline-formula><math display="inline"><semantics><mi>π</mi></semantics></math></inline-formula>. …”
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Article -
2018
Development method of determining angle of the railway contact network support inclination
Published 2024-09-01“…The formulas use geometric relationships and the cosine theorem to calculate the roll of supports taking into account their taper. …”
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Article -
2019
Engineering Circuit Analysis /
Published 2012Table of Contents: “…Mesh Analysis: A Comparison -- 4.6.Computer-Aided Circuit Analysis -- Summary And Review -- Reading Further -- Exercises -- ch. 5 Handy Circuit Analysis Techniques -- 5.1.Linearity and Superposition -- 5.2.Source Transformations -- 5.3.Thevenin and Norton Equivalent Circuits -- 5.4.Maximum Power Transfer -- 5.5.Delta-Wye Conversion -- 5.6.Selecting an Approach: A Summary of Various Techniques -- Summary And Review -- Reading Further -- Exercises -- ch. 6 The Operational Amplifier -- 6.1.Background -- 6.2.The Ideal Op Amp: A Cordial Introduction -- 6.3.Cascaded Stages -- 6.4.Circuits for Voltage and Current Sources -- 6.5.Practical Considerations -- 6.6.Comparators and the Instrumentation Amplifier -- Summary And Review -- Reading Further -- Exercises -- ch. 7 Capacitors And Inductors -- 7.1.The Capacitor -- 7.2.The Inductor -- 7.3.Inductance and Capacitance Combinations -- 7.4.Consequences of Linearity -- 7.5.Simple Op Amp Circuits with Capacitors -- 7.6.Duality -- 7.7.Modeling Capacitors and Inductors with PSpice -- Summary And Review -- Reading Further -- Exercises -- ch. 8 Basic Rl And Rc Circuits -- 8.1.The Source-Free RL Circuit -- 8.2.Properties of the Exponential Response -- 8.3.The Source-Free RC Circuit -- 8.4.A More General Perspective -- 8.5.The Unit-Step Function -- 8.6.Driven RL Circuits -- 8.7.Natural and Forced Response -- 8.8.Driven AC Circuits -- 8.9.Predicting the Response of Sequentially Switched Circuits -- Summary And Review -- Reading Further -- Exercises -- ch. 9 The Rcl Circuit -- 9.1.The Source-Free Parallel Circuit -- 9.2.The Overdamped Parallel RLC Circuit -- 9.3.Critical Damping -- 9.4.The Underdamped Parallel RLC Circuit -- 9.5.The Source-Free Series RLC Circuit -- 9.6.The Complete Response of the RLC Circuit -- 9.7.The Lossless LC Circuit -- Summary And Review -- Reading Further -- Exercises -- ch. 10 Sinusoidal Steady-State Analysis -- 10.1.Characteristics of Sinusoids -- 10.2.Forced Response to Sinusoidal Functions -- 10.3.The Complex Forcing Function -- 10.4.The Phasor -- 10.5.Impedance and Admittance -- 10.6.Nodal and Mesh Analysis -- 10.7.Superposition, Source Transformations and Thevenin's Theorem -- 10.8.Phasor Diagrams -- Summary And Review -- Reading Further -- Exercises -- ch. 11 Ac Circuit Power Analysis -- 11.1.Instantaneous Power -- 11.2.Average Power -- 11.3.Effective Values of Current and Voltage -- 11.4.Apparent Power and Power Factor -- 11.5.Complex Power -- Summary And Review -- Reading Further -- Exercises -- ch. 12 Polyphase Circuits -- 12.1.Polyphase Systems -- 12.2.Single-Phase Three-Wire Systems -- 12.3.Three-Phase Y-Y Connection -- 12.4.The Delta (A) Connection -- 12.5.Power Measurement in Three-Phase Systems -- Summary And Review -- Reading Further -- Exercises -- ch. 13 Magnetically Coupled Circuits -- 13.1.Mutual Inductance -- 13.2.Energy Considerations -- 13.3.The Linear Transformer -- 13.4.The Ideal Transformer -- Summary And Review -- Reading Further -- Exercises -- ch. 14 Complex Frequency And The Laplace Transform -- 14.1.Complex Frequency -- 14.2.The Damped Sinusoidal Forcing Function -- 14.3.Definition of the Laplace Transform -- 14.4.Laplace Transforms of Simple Time Functions -- 14.5.Inverse Transform Techniques -- 14.6.Basic Theorems for the Laplace Transform -- 14.7.The Initial-Value and Final-Value Theorems -- Summary And Review -- Reading Further -- Exercises -- ch. 15 Circuit Analysis In The s-Domain -- 15.1.Z(s) and Y(s) -- 15.2.Nodal and Mesh Analysis in the s-Domain -- 15.3.Additional Circuit Analysis Techniques -- 15.4.Poles, Zeros, and Transfer Functions -- 15.5.Convolution -- 15.6.The Complex-Frequency Plane -- 15.7.Natural Response and the s Plane -- 15.8.A Technique for Synthesizing the Voltage Ratio H(s) = V out/V in -- Summary And Review -- Reading Further -- Exercises -- ch. 16 Frequency Response -- 16.1.Parallel Resonance -- 16.2.Bandwidth and High-Q Circuits -- 16.3.Series Resonance -- 16.4.Other Resonant Forms -- 16.5.Scaling -- 16.6.Bode Diagrams -- 16.7.Basic Filter Design -- 16.8.Advanced Filter Design -- Summary And Review -- Reading Further -- Exercises -- ch. 17 Two-Port Networks -- 17.1.One-Port Networks -- 17.2.Admittance Parameters -- 17.3.Some Equivalent Networks -- 17.4.Impedance Parameters -- 17.5.Hybrid Parameters -- 17.6.Transmission Parameters -- Summary And Review -- Reading Further -- Exercises -- ch. 18 Fourier Circuit Analysis -- 18.1.Trigonometric Form of the Fourier Series -- 18.2.The Use of Symmetry -- 18.3.Complete Response to Periodic Forcing Functions -- 18.4.Complex Form of the Fourier Series -- 18.5.Definition of the Fourier Transform -- 18.6.Some Properties of the Fourier Transform -- 18.7.Fourier Transform Pairs for Some Simple Time Functions -- 18.8.The Fourier Transform of a General Periodic Time Function -- 18.9.The System Function and Response in the Frequency Domain -- 18.10.The Physical Significance of the System Function -- Summary And Review -- Reading Further -- Exercises.…”
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Book -
2020
Estimates for the green function and existence of positive solutions for higher-order elliptic equations
Published 2006-01-01“…<p>We establish a <mml:math alttext="$3G$"> <mml:mn>3</mml:mn> <mml:mi>G</mml:mi> </mml:math>-theorem for the iterated Green function of <mml:math alttext="$(-Delta )^{pm}$"> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mo>−</mml:mo> <mml:mi>∆</mml:mi> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mi>p</mml:mi> <mml:mi>m</mml:mi> </mml:mrow> </mml:msup> </mml:math>, (<mml:math alttext="$pgeq 1$, $mgeq 1$"> <mml:mi>p</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mi>m</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>1</mml:mn> </mml:math>), on the unit ball <mml:math alttext="$B$"> <mml:mi>B</mml:mi> </mml:math> of <mml:math alttext="$mathbb{R}^{n}$"> <mml:mrow> <mml:msup> <mml:mi>ℝ</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> </mml:math> <mml:math alttext="$(ngeq 1)$"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> with boundary conditions <mml:math alttext="$(partial/partial u) ^{j}(-Delta )^{km}u=0$"> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mrow> <mml:mo>∂</mml:mo> <mml:mo>/</mml:mo> <mml:mrow> <mml:mo>∂</mml:mo> <mml:mi>ν</mml:mi> </mml:mrow> </mml:mrow> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mi>j</mml:mi> </mml:msup> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mo>−</mml:mo> <mml:mi>∆</mml:mi> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mi>k</mml:mi> <mml:mi>m</mml:mi> </mml:mrow> </mml:msup> <mml:mi>u</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:math> on <mml:math alttext="$partial B$"> <mml:mo>∂</mml:mo> <mml:mi>B</mml:mi> </mml:math>, for <mml:math alttext="$0leq kleq p-1$"> <mml:mn>0</mml:mn> <mml:mo>≤</mml:mo> <mml:mi>k</mml:mi> <mml:mo>≤</mml:mo> <mml:mi>p</mml:mi> <mml:mo>−</mml:mo> <mml:mn>1</mml:mn> </mml:math> and <mml:math alttext="$0leq jleq m-1$"> <mml:mn>0</mml:mn> <mml:mo>≤</mml:mo> <mml:mi>j</mml:mi> <mml:mo>≤</mml:mo> <mml:mi>m</mml:mi> <mml:mo>−</mml:mo> <mml:mn>1</mml:mn> </mml:math>. …”
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