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Journal articles on the topic 'Adjoint situations'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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1

Sayed-Ahmed, Tarek. "Neat embeddings as adjoint situations." Synthese 192, no. 7 (2013): 2223–59. http://dx.doi.org/10.1007/s11229-013-0344-7.

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Osipov, Andrey. "On unbounded commuting Jacobi operators and some related issues." Concrete Operators 6, no. 1 (2019): 82–91. http://dx.doi.org/10.1515/conop-2019-0008.

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Abstract We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute, or admit a commuting self-adjoint extensions. In the latter case such extensions are explicitly described. Also, some necessary and sufficient conditions for self-adjointness of Jacobi operators are studied.

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BEREZANSKY, YURIJ M. "POISSON MEASURE AS THE SPECTRAL MEASURE OF JACOBI FIELD." Infinite Dimensional Analysis, Quantum Probability and Related Topics 03, no. 01 (2000): 121–39. http://dx.doi.org/10.1142/s0219025700000078.

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A direct proof of the assertion that the spectral measure of a Poisson field of self-adjoint commuting operators is a Poisson measure is presented. This proof gives a possibility to generalize such a fact to more general situations.

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Gadella, Manuel, and Carlos San Millán. "Supersymmetric Partners of the One-Dimensional Infinite Square Well Hamiltonian: Special Cases." Symmetry 14, no. 7 (2022): 1314. http://dx.doi.org/10.3390/sym14071314.

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In a previous paper, we used a classification of the self adjoint extensions, also called self-adjoint determinations, of the differential operator −d2/dx2 in order to obtain the whole list of Supersymmetric (SUSY) partners of those selfadjoint determinations for which the ground state has strictly positive energy. The existence of self adjoint determinations with a ground state of zero or even negative energy is a proved fact. In this paper, we analyze the possibility of constructing SUSY partners for those determinations. We also study those cases for which the ground state has a degeneracy,

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Coutinho, F. AB, Y. Nogami, L. Tomio, and F. M. Toyama. "Energy-dependent point interaction: Self-adjointness." Canadian Journal of Physics 84, no. 11 (2006): 991–1005. http://dx.doi.org/10.1139/p06-086.

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Recently, we constructed an energy-dependent point interaction (EDPI) in its most general form in one-dimensional quantum mechanics. In this paper, we show that stationary solutions of the Schrodinger equation with the EDPI form a complete set. Then any nonstationary solution of the time-dependent Schrodinger equation can be expressed as a linear combination of stationary solutions. This, however, does not necessarily mean that the EDPI is self-adjoint and the time-development of the nonstationary state is unitary. The EDPI is self-adjoint provided that the stationary solutions are all orthogo

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IBARRA, Andoni, and Thomas MORMANN. "Scientific Theories as Intervening Representations." THEORIA 21, no. 1 (2006): 21–38. http://dx.doi.org/10.1387/theoria.551.

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In this paper we use some ideas of Hertz and Duhem to propose a new concept of representation that overcomes the dichotomy between representation and intervention. It is based on the category-theoretical notion of adjoint situations and is used to explain the relation between empirical facts and theoretical laws in a new way.

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Wolter, U., A. Martini, and E. H. Hausler. "Towards a uniform presentation of logical systems by indexed categories and adjoint situations." Journal of Logic and Computation 25, no. 1 (2012): 57–93. http://dx.doi.org/10.1093/logcom/exs038.

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8

Zhang, Weifeng G., John L. Wilkin, Julia C. Levin, and Hernan G. Arango. "An Adjoint Sensitivity Study of Buoyancy- and Wind-Driven Circulation on the New Jersey Inner Shelf." Journal of Physical Oceanography 39, no. 7 (2009): 1652–68. http://dx.doi.org/10.1175/2009jpo4050.1.

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Abstract Adjoint sensitivity analysis is used to study the New York Bight circulation for three idealized situations: an unforced buoyant river plume, and upwelling and downwelling wind forcing. A derivation of adjoint sensitivity is presented that clarifies how the method simultaneously addresses initial, boundary, and forcing sensitivities. Considerations of interpretation and appropriate definitions of sensitivity scalar indices are discussed. The adjoint method identifies the oceanic conditions and forcing that are “dynamically upstream” to a region or feature of interest, as well as the r

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PATIE, P., and A. SRAPIONYAN. "Spectral projections correlation structure for short-to-long range dependent processes." European Journal of Applied Mathematics 32, no. 1 (2020): 1–31. http://dx.doi.org/10.1017/s0956792520000017.

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Let X = (Xt)t≥0 be a stochastic process issued from $x \in \mathbb{R}$ that admits a marginal stationary measure v, i.e. vPtf = vf for all t ≥ 0, where $\textbf{P}_t\,f(x)= \mathbb{E}_x[f(\textbf{X}_t)]$ . In this paper, we introduce the (resp. biorthogonal) spectral projections correlation functions which are expressed in terms of projections.” Also, update first published online date, if available. into the eigenspaces of Pt (resp. and of its adjoint in the weighted Hilbert space L2 (v)). We obtain closed-form expressions involving eigenvalues, the condition number and/or the angle between t

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Fu, Yujie, Chunyu Liu, and Chuang Shi. "Applying the remote microphone method in the filtered error least mean squares algorithm." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 265, no. 4 (2023): 3330–37. http://dx.doi.org/10.3397/in_2022_0470.

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An active noise control (ANC) system generates an anti-noise wave to reduce the noise level at a control point, where the error microphone is conventionally placed. Virtual sensing techniques are developed for situations when the error microphone cannot be permanently placed at the control point. The remote microphone (RM) method is one of the most straightforward virtual sensing methods. Previous studies have demonstrated that the performance of the RM method is influenced by the causality between the physical and virtual error microphones, which can be resolved by introducing a delayed versi

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Matoog, Rajaa T., Amr M. S. Mahdy, Mohamed A. Abdou, and Doaa Sh Mohamed. "A Computational Method for Solving Nonlinear Fractional Integral Equations." Fractal and Fractional 8, no. 11 (2024): 663. http://dx.doi.org/10.3390/fractalfract8110663.

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This article solves the nonlinear fractional integral equation (NFrIE) using the Genocchi polynomial method (GPM). We have provided proof to demonstrate the existence of a unique solution to the second sort of NFrIE in Hilbert space. The proof of the stability of the error has been described and discussed. These criteria are proven given the spectrum characteristics of a linear self-adjoint operator. Numerous applications, unique conditions, and specific situations are developed. Additionally, numerical examples are constructed to illustrate the efficiency and applicability of the method. Mapl

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Jeni Seles Martina, D., and G. Deepa. "Some algebraic properties on rough neutrosophic matrix and its application to multi-criteria decision-making." AIMS Mathematics 8, no. 10 (2023): 24132–52. http://dx.doi.org/10.3934/math.20231230.

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<abstract><p>Rough set theory is a method of information processing for database systems. The neutrosophic matrix is a generalization of the fuzzy matrix, especially in handling indeterminacy situations. The concept of matrix theory and its energy in the neutrosophic environment help to determine the value of the uncertain matrix. In this paper, we correlate the rough set theory with the neutrosophic matrix theory to introduce the rough neutrosophic matrix (RNM). In this structure, lower and upper approximation neutrosophic matrices are used to deal with uncertain situations. We de

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13

Zhou, Min, Shenggang Li, and Muhammad Akram. "Categorical Properties of Soft Sets." Scientific World Journal 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/783056.

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The present study investigates some novel categorical properties of soft sets. By combining categorical theory with soft set theory, a categorical framework of soft set theory is established. It is proved that the categorySFunof soft sets and soft functions has equalizers, finite products, pullbacks, and exponential properties. It is worth mentioning that we find thatSFunis both a topological construct and Cartesian closed. The categorySRelof soft sets andZ-soft set relations is also characterized, which shows the existence of the zero objects, biproducts, additive identities, injective object

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Babenko, V. F., N. V. Parfinovych, and D. S. Skorokhodov. "The best approximation of closed operators by bounded operators in Hilbert spaces." Carpathian Mathematical Publications 14, no. 2 (2022): 453–63. http://dx.doi.org/10.15330/cmp.14.2.453-463.

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We solve the problem of the best approximation of closed operators by linear bounded operators in Hilbert spaces under assumption that the operator transforms orthogonal basis in Hilbert space into an orthogonal system. As a consequence, sharp additive Hardy-Littlewood-Pólya type inequality for multiple closed operators is established. We also demonstrate application of these results in concrete situations: for the best approximation of powers of the Laplace-Beltrami operator on classes of functions defined on closed Riemannian manifolds, for the best approximation of differentiation operators

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Boujo, E., and N. Noiray. "Robust identification of harmonic oscillator parameters using the adjoint Fokker–Planck equation." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2200 (2017): 20160894. http://dx.doi.org/10.1098/rspa.2016.0894.

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We present a model-based output-only method for identifying from time series the parameters governing the dynamics of stochastically forced oscillators. In this context, suitable models of the oscillator’s damping and stiffness properties are postulated, guided by physical understanding of the oscillatory phenomena. The temporal dynamics and the probability density function of the oscillation amplitude are described by a Langevin equation and its associated Fokker–Planck equation, respectively. One method consists in fitting the postulated analytical drift and diffusion coefficients with their

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Leiva, Hugo, Guido Tapia-Riera, Jhoana P. Romero-Leiton, and Cosme Duque. "Mixed Cost Function and State Constrains Optimal Control Problems." AppliedMath 5, no. 2 (2025): 46. https://doi.org/10.3390/appliedmath5020046.

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In this paper, we analyze an optimal control problem with a mixed cost function, which combines a terminal cost at the final state and an integral term involving the state and control variables. The problem includes both state and control constraints, which adds complexity to the analysis. We establish a necessary optimality condition in the form of the maximum principle, where the adjoint equation is an integral equation involving the Riemann and Stieltjes integrals with respect to a Borel measure. Our approach is based on the Dubovitskii–Milyutin theory, which employs conic approximations to

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17

Cacuci. "Towards Overcoming the Curse of Dimensionality: The Third-Order Adjoint Method for Sensitivity Analysis of Response-Coupled Linear Forward/Adjoint Systems, with Applications to Uncertainty Quantification and Predictive Modeling." Energies 12, no. 21 (2019): 4216. http://dx.doi.org/10.3390/en12214216.

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This work presents the Third-Order Adjoint Sensitivity Analysis Methodology (3rd-ASAM) for response-coupled forward and adjoint linear systems. The 3rd-ASAM enables the efficient computation of the exact expressions of the 3rd-order functional derivatives (“sensitivities”) of a general system response, which depends on both the forward and adjoint state functions, with respect to all of the parameters underlying the respective forward and adjoint systems. Such responses are often encountered when representing mathematically detector responses and reaction rates in reactor physics problems. The

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Liu, Bin, Jiansen Wang, Yuxiao Ren, Xu Guo, Lei Chen, and Lanbo Liu. "Decoupled elastic least-squares reverse time migration and its application in tunnel geologic forward prospecting." GEOPHYSICS 87, no. 1 (2021): EN1—EN19. http://dx.doi.org/10.1190/geo2020-0875.1.

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Accurate seismic imaging can ensure safe and efficient tunnel construction under complex geologic conditions. As a high-precision migration method, reverse time migration (RTM) has been introduced into tunnel seismic forward prospecting. However, the resolution of traditional RTM imaging results may not meet the requirements in a complex tunnel environment, which affects the interpretation of tunnel seismic forward-prospecting results. We have developed a least-squares RTM method based on the decoupled elastic wave equation in tunnels. The Born forward-modeling operator and its exact adjoint m

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Ginsberg, J. H., and Hoang Pham. "Forced Harmonic Response of a Continuous System Displaying Eigenvalue Veering Phenomena." Journal of Vibration and Acoustics 117, no. 4 (1995): 439–44. http://dx.doi.org/10.1115/1.2874476.

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Prior studies of self-adjoint linear vibratory systems have extensively explored the free vibration phenomena associated with veering of eigenvalue loci that depict the dependence of natural frequencies on a system parameter. The present work is an exploration of the effect of such phenomena on the response of a nearly-periodic continuum to harmonic excitation. The focus of the analysis is the prototypical system of a two-span beam with a strong torsional spring at the intermediate pin support. The results of an exact eigenvalue analysis, not previously disclosed, are used to perform a modal a

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Baek, Hyoungsu, Henri Calandra, and Laurent Demanet. "Velocity estimation via registration-guided least-squares inversion." GEOPHYSICS 79, no. 2 (2014): R79—R89. http://dx.doi.org/10.1190/geo2013-0146.1.

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Least-squares (LS) acoustic-waveform inversion often suffers from a very narrow basin of attraction near the global minimum. To mitigate this problem, we evaluated an iterative inversion scheme in which the notion of proximity of two traces is not the usual LS distance, but instead it involves registration as in image processing. Observed data were matched to predicted waveforms via piecewise-polynomial warpings, obtained by solving a nonconvex optimization problem in a multiscale fashion from low to high frequencies. This multiscale process required defining low-frequency augmented signals to

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21

Güneysu, Batu. "Asymptotic equivalence of identification operators in geometric scattering theory." Documenta Mathematica 29, no. 6 (2024): 1367–79. http://dx.doi.org/10.4171/dm/968.

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Given two measures \mu_{1} and \mu_{2} on a measurable space X such that d\mu_{2}=\rho_{1,2}\,d\mu_{1} for some bounded measurable function \rho_{1,2}:X\rightarrow (0,\infty) , there exist two natural identification operators J_{1,2},\tilde{J}_{1,2}:L^{2}(X,\mu_{1})\rightarrow L^{2}(X,\mu_{2}) , namely the unitary J_{1,2}\psi:=\psi/\sqrt{\rho_{1,2}} and the trivial \tilde{J}_{1,2}\psi:=\psi . Given self-adjoint semibounded operators H_{j} on L^{2}(X,\mu_{j}) , j=1,2 , we prove a natural criterion in a topologic setting for the equality of the two-Hilbert-space wave operators W_{\pm}(H_{2},H_{1

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Nazarov, Sergei Aleksandrovich. "Influence of Winkler - Steklov conditions on natural oscillations of elastic weighty body." Ufa Mathematical Journal 16, no. 1 (2024): 53–79. http://dx.doi.org/10.13108/2024-16-1-53.

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We consider the spectral problem for the spacial system of equations of the elasticity theory. Small parts of the body surface are supplied with the Winkler - Steklov conditions, which model spring mount, while the remaining part of the boundary is traction-free. In several cases (the relative stiffness of springs and their positions are varied) we construct asymptotics for eigenfrequencies of the body and for corresponding eigenmodes. The limiting problems are ones for the body (spectral or stationary in some case) and problems of the elasticity theory for the half-spaces with the Winkler - S

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23

Caimmi, R. "R fluids." Serbian Astronomical Journal, no. 176 (2008): 23–35. http://dx.doi.org/10.2298/saj0876023c.

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A theory of collisionless fluids is developed in a unified picture, where nonrotating (?f1 = ?f2 = ?f3 = 0) figures with some given random velocity component distributions, and rotating (?f1 = ?f2 = ?f3 ) figures with a different random velocity component distributions, make adjoint configurations to the same system. R fluids are defined as ideal, self-gravitating fluids satisfying the virial theorem assumptions, in presence of systematic rotation around each of the principal axes of inertia. To this aim, mean and rms angular velocities and mean and rms tangential velocity components are expre

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Belmiloudi, Aziz. "Mathematical modeling and optimal control problems in brain tumor targeted drug delivery strategies." International Journal of Biomathematics 10, no. 04 (2017): 1750056. http://dx.doi.org/10.1142/s1793524517500565.

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In this paper, we present a mathematical model that describes tumor-normal cells interaction dynamics focusing on role of drugs in treatment of brain tumors. The goal is to predict distribution and necessary quantity of drugs delivered in drug-therapy by using optimal control framework. The model describes interactions of tumor and normal cells using a system of reactions–diffusion equations involving the drug concentration, tumor cells and normal tissues. The control estimates simultaneously blood perfusion rate, reabsorption rate of drug and drug dosage administered, which affect the effects

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Yegorychev, I. E. "QUANTIFIERS AS AN ADJOINT SITUATION." Научное мнение, no. 10 (2018): 11–18. http://dx.doi.org/10.25807/pbh.22224378.2018.10.11.18.

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Mead, Jodi L., and James F. Ford. "Joint inversion of compact operators." Journal of Inverse and Ill-posed Problems 28, no. 1 (2020): 105–18. http://dx.doi.org/10.1515/jiip-2019-0068.

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AbstractJoint inversion of multiple data types was studied as early as 1975 in [K. Vozoff and D. L. Jupp, Joint inversion of geophysical data, Geophys. J. Internat. 42 1975, 3, 977–991], where the authors used the singular value decomposition to determine the degree of ill-conditioning of joint inverse problems. The authors demonstrated in several examples that combining two physical models in a joint inversion, and by effectively stacking discrete linear models, improved the conditioning as compared to individual inversions. This work extends the notion of using the singular value decompositi

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Goharshadi, Mostafa, and Masoud Mirzaei. "Delaying the Stall of a Low-Wing Aircraft Using a Novel Powerful Vortex Generator." Inventions 7, no. 4 (2022): 95. http://dx.doi.org/10.3390/inventions7040095.

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In this study, a new aerodynamic surface concept is introduced, which is a powerful vortex generator (PVG). It can delay the stall point in a low-wing aircraft. This delay leads to a significant increase in the CLmax of an aircraft. The results of this research show that the use of PVG, due to its longitudinal position, does not affect the aerodynamic center of the aircraft as well as its static stability. This is an advantage for this method compared to the method based on LEX, in which the aerodynamic center moves forward and the static stability of the aircraft reduces. As a case study, thi

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Grigorovich, Lyubov', Aleksandr Gorelov, and Aleksandr Chudakov. "Deviantological competence of future teachers and psychologists." Russian Journal of Deviant Behavior 2, no. 1 (2022): 63–76. http://dx.doi.org/10.35750/2713-0622-2022-1-63-76.

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Abstract. The beginning of the new Millenia brings new social challenges adjoint with the antisocial behavior of the youth. Crime rates are clearly on the rise among the young people, and their crimes in turn significantly worsen the criminal situation in the society as a whole. The trend can be also observed in the raise of drug abuse among the younger generation, that provokes even more criminal acts. Minors are dragged into the criminal business (such as drug trafficking etc.), nudged to the side of different sexual deviances. Considering this, knowledge, skills and abilities in the field o

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Caimmi, R. "Why there are no elliptical galaxies more flattened than E7: Thirty years later." Serbian Astronomical Journal, no. 173 (2006): 13–33. http://dx.doi.org/10.2298/saj0673013c.

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Elliptical galaxies are modeled as homeoidally striated Jacobi ellipsoids (Caimmi and Marmo 2005) where the peculiar velocity distribution is anisotropic, or equivalently as their adjoint configurations i.e. classical Jacobi ellipsoids of equal mass and axes, in real or imaginary rotation (Caimmi 2006). Reasons for the coincidence of bifurcation points from axisymmetric to triaxial configurations in both the sequences (Caimmi 2006) contrary to earlier findings (Wiegandt 1982a,b, Caimmi and Marmo 2005) are presented and discussed. The effect of centrifugal support at the ends of the major equat

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Böckle, Gebhard. "A local-to-global principle for deformations of Galois representations." Journal für die reine und angewandte Mathematik (Crelles Journal) 1999, no. 509 (1999): 199–236. http://dx.doi.org/10.1515/crll.1999.509.199.

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Abstract Given an absolutely irreducible Galois representation : GE → GLN (k), E a number field, k a finite field of characteristic l > 2, and a finite set of places Q of E containing all places above l and ∞ and all where ∞ ramifies, there have been defined many functors representing strict equivalence classes of deformations of such a representation, e.g. by Mazur or Wiles in [15] or [26], with various conditions on the behaviour of the deformations at the places in Q and with the condition that the deformations are unramified outside Q. Those functors are known to be representable. For a

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Neira U., C. M. "Uniform fields vs. fibrewise uniform spaces: An adjoint situation." Acta Mathematica Hungarica 144, no. 1 (2014): 1–17. http://dx.doi.org/10.1007/s10474-014-0445-x.

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Becker, Roland, and Rolf Rannacher. "An optimal control approach to a posteriori error estimation in finite element methods." Acta Numerica 10 (May 2001): 1–102. http://dx.doi.org/10.1017/s0962492901000010.

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This article surveys a general approach to error control and adaptive mesh design in Galerkin finite element methods that is based on duality principles as used in optimal control. Most of the existing work on a posteriori error analysis deals with error estimation in global norms like the ‘energy norm’ or the L2 norm, involving usually unknown ‘stability constants’. However, in most applications, the error in a global norm does not provide useful bounds for the errors in the quantities of real physical interest. Further, their sensitivity to local error sources is not properly represented by

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Romero, R., A. Martín, V. Homar, S. Alonso, and C. Ramis. "Predictability of prototype flash flood events in the Western Mediterranean under uncertainties of the precursor upper-level disturbance: the HYDROPTIMET case studies." Natural Hazards and Earth System Sciences 5, no. 4 (2005): 505–25. http://dx.doi.org/10.5194/nhess-5-505-2005.

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Abstract. The HYDROPTIMET case studies (9–10 June 2000 Catalogne, 8–9 September 2002 Cévennes and 24–26 November 2002 Piémont) appear to encompass a sort of prototype flash-flood situations in the western Mediterranean attending to the relevant synoptic and mesoscale signatures identified on the meteorological charts. In Catalogne, the convective event was driven by a low-pressure system of relatively small dimensions developed over the mediterranean coast of Spain that moved into southern France. For Cévennes, the main circulation pattern was a synoptic-scale Atlantic low which induced a pers

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Pérez-Pardo, Juan Manuel. "Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries." International Journal of Geometric Methods in Modern Physics 14, no. 08 (2017): 1740004. http://dx.doi.org/10.1142/s0219887817400047.

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The problem of self-adjoint extensions of Dirac-type operators in manifolds with boundaries is analyzed. The boundaries might be regular or non-regular. The latter situation includes point-like interactions, also called delta-like potentials, in manifolds of dimension higher than one. Self-adjoint boundary conditions for the case of dimension 2 are obtained explicitly.

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Berkics, Péter. "On Self-Adjoint Linear Relations." Mathematica Pannonica 27_NS1, no. 1 (2021): 1–7. http://dx.doi.org/10.1556/314.2020.00001.

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A linear operator on a Hilbert space , in the classical approach of von Neumann, must be symmetric to guarantee self-adjointness. However, it can be shown that the symmetry could be omitted by using a criterion for the graph of the operator and the adjoint of the graph. Namely, S is shown to be densely defined and closed if and only if .In a more general setup, we can consider relations instead of operators and we prove that in this situation a similar result holds. We give a necessary and sufficient condition for a linear relation to be densely defined and self-adjoint.

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Carey, Alan, Fritz Gesztesy, Harald Grosse, et al. "Trace formulas for a class of non-Fredholm operators: A review." Reviews in Mathematical Physics 28, no. 10 (2016): 1630002. http://dx.doi.org/10.1142/s0129055x16300028.

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Take a one-parameter family of self-adjoint Fredholm operators [Formula: see text] on a Hilbert space [Formula: see text], joining endpoints [Formula: see text]. There is a long history of work on the question of whether the spectral flow along this path is given by the index of the operator [Formula: see text] acting in [Formula: see text], where [Formula: see text] denotes the multiplication operator [Formula: see text] for [Formula: see text]. Most results are about the case where the operators [Formula: see text] have compact resolvent. In this article, we review what is known when these o

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Bityukova, Viktoria R., and Natalia A. Koldobskaya. "ENVIRONMENTAL FACTORS AND CONSTRAINTS IN THE DEVELOPMENT OF THE NEW TERRITORY OF MOSCOW (SO-CALLED «NEW MOSCOW»)." GEOGRAPHY, ENVIRONMENT, SUSTAINABILITY 11, no. 2 (2018): 46–62. http://dx.doi.org/10.24057/2071-9388-2018-11-2-46-62.

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The article considers the main trends in the environmental situation in the New Moscow in connection with the acquisition of capital status and rapid population growth. The New Moscow is the territory annexed to Moscow as part of a large-scale project to expand the territory of Moscow at the expense of the Moscow oblast in July 2012. Under the influence of both hereditary and transformational factors, the situation in Moscow new adjoint area is rapidly deteriorating, and for Moscow in the old borders inherited factors are mostly negative for the formation of the environmental situation, and th

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Fleige, Andreas, Seppo Hassi, Henk de Snoo, and Henrik Winkler. "Sesquilinear forms corresponding to a non-semibounded Sturm–Liouville operator." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 140, no. 2 (2010): 291–318. http://dx.doi.org/10.1017/s0308210509000286.

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Let −DpD be a differential operator on the compact interval [−b, b] whose leading coefficient is positive on (0, b] and negative on [−b, 0), with fixed, separated, self-adjoint boundary conditions at b and −b and an additional interface condition at 0. The self-adjoint extensions of the corresponding minimal differential operator are non-semibounded and are related to non-semibounded sesquilinear forms by a generalization of Kato's representation theorems. The theory of non-semibounded sesquilinear forms is applied to this concrete situation. In particular, the generalized Friedrichs extension

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Zhou, Liangguang, Juliang Jin, Rongxing Zhou, et al. "Advances in Adjoint Functions of Connection Number in Water Resources Complex Systems: A Systematic Review." Entropy 26, no. 4 (2024): 339. http://dx.doi.org/10.3390/e26040339.

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The adjoint function of connection number has unique advantages in solving uncertainty problems of water resource complex systems, and has become an important frontier and research hotspot in the uncertainty research of water resource complex problems. However, in the rapid evolution of the adjoint function, some problems greatly limit the application of the adjoint function in the research of water resources. Therefore, based on bibliometric analysis, development, practical application issues, and prospects of the hot directions are analyzed. It is found that the development of the connection

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Simeoni, Daniel, and Khadiyatoulah Fall. "Tâtonnements énonciatifs, appropriation/désappropriation notionnelle, lieux de négociation et de conflit dans l’énonciation en situation d’entretien." Revue québécoise de linguistique 22, no. 1 (2009): 203–38. http://dx.doi.org/10.7202/602759ar.

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Résumé Cet article pose les premiers jalons d’un cadre d’analyse socio-énonciatif visant à rendre compte de l’alternance de phases fluides et de tâtonnements, depuis les simples pauses délimitant les unités de sens jusqu’aux ruptures syntaxiques, en passant par les pauses vocalisées et autres télescopages, qui caractérisent les énoncés en français parlé produits en situation d’entretien. Une habilitation théorique du concept de « marqueur en creux » est esquissée. La difficulté d’énonciation paraît liée à la mise en discours de notions thématiques définies dans le prolongement de la théorie de

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Ramancha, Nitesh Kumar. "Optimizing Supply Chain Efficiency Using Machine Learning with ARAS Methodology." Journal of Artificial intelligence and Machine Learning 3, no. 1 (2025): 1–13. https://doi.org/10.55124/jaim.v3i1.261.

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Abstract: This research examines howfocusing on the evaluation of the efficacy of five machine learning models: Maxor Min, AdaBoost, Bagging, Random Forest and Decision Tree. The Adjoint Ratio Assessment (ARAS) method was applied to establish the models are analyzed based on six evaluation parameters: precision, accuracy, recall, log loss, MCC (Matthews’s correlation coefficient), and model complexity. Research Significance: The significance of this research is the systematic assessment of machine learning models intended for supply chain optimization. It provides insights into model selection

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NIV, ADI. "FACTORIZATION OF TROPICAL MATRICES." Journal of Algebra and Its Applications 13, no. 01 (2013): 1350066. http://dx.doi.org/10.1142/s0219498813500667.

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In contrast to the situation in classical linear algebra, not every tropically non-singular matrix can be factored into a product of tropical elementary matrices. We do prove the factorizability of any tropically non-singular 2 × 2 matrix and, relating to the existing Bruhat decomposition, determine which 3 × 3 matrices are factorizable. Nevertheless, there is a closure operation, obtained by means of the tropical adjoint, which is always factorizable, generalizing the decomposition of the closure operation * of a matrix.

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Koroni, Maria, and Jeannot Trampert. "Imaging global mantle discontinuities: a test using full-waveforms and adjoint kernels." Geophysical Journal International 226, no. 3 (2021): 1498–516. http://dx.doi.org/10.1093/gji/ggab119.

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SUMMARY We present a novel approach for imaging global mantle discontinuities based on full-waveform inversion (FWI). Over the past decades, extensive research has been done on imaging mantle discontinuities at approximately 400 and 670 km depth. Accurate knowledge of their topography can put strong constraints on thermal and compositional variations and hence geodynamic modelling. So far, however, there is little consensus on their topography. We present an approach based on adjoint tomography, which has the advantage that Fréchet derivatives for discontinuities and measurements, to be invert

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Seelmann, Albrecht. "Semidefinite perturbations in the subspace perturbation problem." Journal of Operator Theory 81, no. 2 (2019): 321–33. http://dx.doi.org/10.7900/jot.2018feb07.2186.

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The variation of spectral subspaces for linear self-adjoint operators under an additive bounded semidefinite perturbation is considered. A variant of the Davis-Kahan sin2Θ theorem adapted to this situation is proved. Under a certain additional geometric assumption on the separation of the spectrum of the unperturbed operator, this leads to a sharp estimate on the norm of the difference of the spectral projections associated with isolated components of the spectrum of the perturbed and unperturbed operators, respectively. Without this additional geometric assumption on the isolated components o

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Karabash, Illya, and Carsten Trunk. "Spectral properties of singular Sturm—Liouville operators with indefinite weight sgn x." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 139, no. 3 (2009): 483–503. http://dx.doi.org/10.1017/s0308210507000686.

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We consider a singular Sturm—Liouville expression with the indefinite weight sgn x. There is a self-adjoint operator in some Krein space associated naturally with this expression. We characterize the local definitizability of this operator in a neighbourhood of ∞. Moreover, in this situation, the point ∞ is a regular critical point. We construct an operator A = (sgn x)(−d2/dx2 + q) with non-real spectrum accumulating to a real point. The results obtained are applied to several classes of Sturm—Liouville operators.

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García, Javier Gutiérrez, and Ulrich Höhle. "Right algebras in Sup and the topological representation of semi-unital and semi-integral quantales, revisited." Mathematica Slovaca 74, no. 2 (2024): 261–80. http://dx.doi.org/10.1515/ms-2024-0020.

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Abstract Let 𝔔 be a reduced left-sided and left-stable quantale without zero divisors. This paper shows how the systematic use of the «quantization» of 2 viewed as a regular and strict right 𝔔-subalgebra of 𝔔 can both strengthen and simplify the rather complicated construction of quantale-enriched topologies given for semi-unital and semi-integral quantales in the original paper [3]. The underlying structure for this new construction is an adjoint situation between the dual category of semi-unital, semi-integral quantales and quantized topological spaces.

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Xu, Min, and Mingjun Wei. "Using adjoint-based optimization to study kinematics and deformation of flapping wings." Journal of Fluid Mechanics 799 (June 21, 2016): 56–99. http://dx.doi.org/10.1017/jfm.2016.351.

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The study of flapping-wing aerodynamics faces a large control space with different wing kinematics and deformation. The adjoint-based approach, by solving an inverse problem to obtain simultaneously the sensitivity with respect to all control parameters, has a computational cost independent of the number of control parameters and becomes an efficient tool for the study of problems with a large control space. However, the adjoint equation is typically formulated in a fixed fluid domain. In a continuous formulation, a moving boundary or morphing domain results in inconsistency in the definition

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Henheik, Joscha, and Roderich Tumulka. "Interior-boundary conditions for the Dirac equation at point sources in three dimensions." Journal of Mathematical Physics 63, no. 12 (2022): 122302. http://dx.doi.org/10.1063/5.0104675.

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A recently proposed approach for avoiding the ultraviolet divergence of Hamiltonians with particle creation is based on interior-boundary conditions (IBCs). The approach works well in the non-relativistic case, i.e., for the Laplacian operator. Here, we study how the approach can be applied to Dirac operators. While this has successfully been done already in one space dimension, and more generally for codimension-1 boundaries, the situation of point sources in three dimensions corresponds to a codimension-3 boundary. One would expect that, for such a boundary, Dirac operators do not allow for

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Frith, John, and Anneliese Schauerte. "Variants of Booleanness: Congruences of a partial frame versus those of its free frame." Mathematica Slovaca 72, no. 4 (2022): 831–46. http://dx.doi.org/10.1515/ms-2022-0057.

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Abstract This paper concerns notions of Booleanness in the setting of partial frames, which, in contrast to full frames, do not necessarily have all joins. Examples of these include bounded distributive lattices, σ- and κ-frames. We provide four distinct conditions which all reduce in the case of full frames to each element having a complement. These concepts depend heavily on the free frame over a partial frame, the congruence frame of a partial frame and the relations between them. We also examine the adjoint situation between the congruences of a partial frame and those of its free frame.

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Stachó, Lászlo L., and Wend Werner. "On non-commutative Minkowski spheres." Analele Universitatii "Ovidius" Constanta - Seria Matematica 20, no. 2 (2012): 159–70. http://dx.doi.org/10.2478/v10309-012-0047-y.

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Abstract The purpose of the following is to try to make sense of the stereo- graphic projection in a non-commutative setup. To this end, we consider the open unit ball of a ternary ring of operators, which naturally comes equipped with a non-commutative version of a hyperbolic metric and ask for a manifold onto which the open unit ball can be mapped so that one might think of this situation as providing a noncommutative analog to mapping the open disk of complex numbers onto the hyperboloid in three space, equipped with the restriction of the Minkowskian metric. We also obtain a related result

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