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Academic literature on the topic 'Adjoint situations'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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Journal articles on the topic "Adjoint situations"

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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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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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Book chapters on the topic "Adjoint situations"

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Wagh, Sanjay Moreshwar. "Adjoint Functors and Adjoint Situations." In Subtlety in Relativity. Jenny Stanford Publishing, 2017. http://dx.doi.org/10.1201/9781351238328-8.

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Lancaster, Peter, and Leiba Rodman. "Skew-Symmetric Scalar Products." In Algebraic Riccati Equations. Oxford University PressOxford, 1995. http://dx.doi.org/10.1093/oso/9780198537953.003.0003.

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Abstract Chapter 2 was concerned with complex spaces having an indefinite scalar product. The detailed study of Riccati equations with real coefficients requires that we also consider scalar products on ℝn generated by real, invertible, skew-symmetric matrices; a further step away from the familiar euclidean situation. Nevertheless, the connections with the indefinite scalar products introduced in Chapter 2 are strong. For example, if K and A are real n x n matrices with K nonsingular and skew-symmetric, A will be said to be skew-symmetric with respect to K if KA is symmetric (see Section 3.2

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Dwork, Bernard. "Structure of H g." In Generalized hypergeometric functions. Oxford University PressOxford, 1990. http://dx.doi.org/10.1093/oso/9780198535676.003.0007.

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Abstract We consider the situation of Chapters 2 and 3, in particular hypothesis (2.4) but we shall not use hypotheses (2.5) and (2.6) until the second part of this chapter (§ 6.5 onwards). It will be shown later Lemma 9.1.1 that W^a is finite dimensional (and hence its adjoint space ℋ^a is dual) but this will not be used immediately. Our object is to find necessary and sufficient conditions under which for given u∈H^0 the map is an injective map of K^a into γ^−∘Xu The necessity of our condition is not established.

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Ricci, Fulvio. "Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs." In Advances in Analysis, edited by Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, and Stephen Wainger. Princeton University Press, 2014. http://dx.doi.org/10.23943/princeton/9780691159416.003.0017.

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This chapter turns to a special class of Gelfland pairs, here called “nilpotent Gelfland pairs” for simplicity's sake and denoted by (N, K). It considers implications derived from, in principle, whenever we have a finite family of homogeneous, self-adjoint, commuting, left-invariant differential operators on a homogenous nilpotent Lie group N. A natural situation to consider is the one where the given operators are characterized by the property of being invariant under the action of a given compact group K of automorphisms of N. The general strategy of proof here is based on a bootstrapping ar

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Pommaret, Jean-Francois. "GRAVITATIONAL WAVES AND PARAMETRIZATIONS OF LINEAR DIFFERENTIAL OPERATORS." In Gravitational Waves - Theory and Observations [Working Title]. IntechOpen, 2023. http://dx.doi.org/10.5772/intechopen.1000851.

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When D : ξ → η is a linear differential operator, a ”direct problem ” is to find the generating compatibility conditions (CC) in the form of an operator D1 : η → ζ such that Dξ = η implies D1η = 0. When D is involutive, the procedure provides successive first order involutive operators D1 , ..., Dn when the ground manifold has dimension n. Conversely, when D1 is given, a much more difficult ” inverse problem ” is to look for an operator D : ξ → η having the generating CC D1η = 0. If this is possible, that is when the differential module defined by D1 is torsion-free, one shall say that the ope

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Conference papers on the topic "Adjoint situations"

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Tammisola, Outi, and Matthew P. Juniper. "Adjoint Sensitivity Analysis of Hydrodynamic Stability in a Gas Turbine Fuel Injector." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-42736.

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Hydrodynamic oscillations in gas turbine fuel injectors help to mix the fuel and air but can also contribute to thermoacoustic instability. Small changes to some parts of a fuel injector greatly affect the frequency and amplitude of these oscillations. These regions can be identified efficiently with adjoint-based sensitivity analysis. This is a linear technique that identifies the region of the flow that causes the oscillation, the regions of the flow that are most sensitive to external forcing, and the regions of the flow that, when altered, have most influence on the oscillation. In this pa

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Ginsberg, Jerry H., and Hoang Pham. "Forced Harmonic Response of a Continuous System Displaying Eigenvalue Veering Phenomena." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0167.

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Abstract Prior studies of self-adjoint linear vibratory systems have extensively explored the phenomenon of 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 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 analysis of the steady-state respon

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Silva, Camilo F., Kah Joon Yong, and Luca Magri. "Thermoacoustic Modes of Quasi-1D Combustors in the Region of Marginal Stability." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-76921.

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It may be generally believed that the thermoacoustic eigenfrequencies of a combustor with fully acoustically reflecting boundary conditions depend on both flame dynamics and geometry of the system. In this work, we show that there are situations where this understanding does not strictly apply. The purpose of this study is twofold. In the first part, we show that the resonance frequencies of two premixed combustors with fully acoustically reflecting boundary conditions in the region of marginal stability depend only on the parameters of the flame dynamics, but do not depend on the combustor’s

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Vueghs, Pierre E., and Pierre Rochus. "Adjoint Equations and Error Measure in Radiative Heat Transfer With Diffuse Reflection." In ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/ht2009-88035.

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In this paper, we develop an application of the importance equation (which is an adjoint equation of the radiosity equation) in the case of isothermal, diffuse surfaces. We recall the formulation of the radiosity equation, in function of the nature of the boundary condition (either known temperature or fixed radiative heat flux). We define the importance as the quantity dual to radiosity. We explain how these equations can be used after the resolution of a radiative heat transfer situation, as a post processing step, to establish the accuracy of each individual radiative link between the activ

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