Log in

Relevant bibliographies by topics / Orthogonality condition

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Orthogonality condition'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Orthogonality condition.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Orthogonality condition"

1

Kawahigashi, K., and M. Ichimura. "Non-Orthogonality Problem in Continuum RPA Studied by Orthogonality Condition." Progress of Theoretical Physics 85, no. 4 (1991): 829–38. http://dx.doi.org/10.1143/ptp/85.4.829.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Li, Zheng, Tie Zhang, and Changjun Li. "Trapezoid Orthogonality in Complex Normed Linear Spaces." Mathematics 13, no. 9 (2025): 1494. https://doi.org/10.3390/math13091494.

Full text

Abstract:

Let Gp(x,y,z)=∥x+y+z∥p+∥z∥p−∥x+z∥p−∥y+z∥p be defined on a normed space X. The special case G2(x,y,z)=0,∀z∈X, where X is a real normed linear space, coincides with the trapezoid orthogonality (T-orthogonality), which was originally proposed by Alsina et al. in 1999. In this paper, for the case where X is a complex inner product space endowed with the inner product ⟨·,·⟩ and induced norm ∥·∥, it is proved that Sgn(G2(x,y,z))=Sgn(Re⟨x,y⟩),∀z∈X, and a geometric explanation for condition Re⟨x,y⟩=0 is provided. Furthermore, a condition G2(x,iy,z)=0,∀z∈X is added to extend the T-orthogonality to the

APA, Harvard, Vancouver, ISO, and other styles

3

HERCZYNSKI, ANDRZEJ, and ROBERT T. FOLK. "ORTHOGONALITY CONDITION FOR THE POCHHAMMER-CHREE MODES." Quarterly Journal of Mechanics and Applied Mathematics 42, no. 4 (1989): 523–36. http://dx.doi.org/10.1093/qjmam/42.4.523.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Yang, Q., X. Chen, and W. Y. Zhou. "Relationship between normality structure and orthogonality condition." Mechanics Research Communications 32, no. 5 (2005): 582–89. http://dx.doi.org/10.1016/j.mechrescom.2005.01.010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Shirshova, Elen E. "On groups with the almost orthogonality condition." Communications in Algebra 28, no. 10 (2000): 4803–18. http://dx.doi.org/10.1080/00927870008827121.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Qian, Hailong. "REDUNDANCY OF MOMENT CONDITIONS AND THE EFFICIENCY OF OLS IN SUR MODELS." Econometric Theory 24, no. 5 (2008): 1456–60. http://dx.doi.org/10.1017/s0266466608080687.

Full text

Abstract:

In this note, based on the generalized method of moments (GMM) interpretation of the usual ordinary least squares (OLS) and feasible generalized least squares (FGLS) estimators of seemingly unrelated regressions (SUR) models, we show that the OLS estimator is asymptotically as efficient as the FGLS estimator if and only if the cross-equation orthogonality condition is redundant given the within-equation orthogonality condition. Using the condition for redundancy of moment conditions of Breusch, Qian, Schmidt, and Wyhowski (1999, Journal of Econometrics 99, 89–111), we then derive the necessary

APA, Harvard, Vancouver, ISO, and other styles

7

Abdallah, Abdallah, Ahmed Atallah Alsaraireh, Malik Bataineh, Nabeela Abu Abu-Alkishik, Isra Al Al-Shbeil, and Abdallah Al Al-Husban. "On The Real Inner Products and Orthogonality for Plithogenic Vector Spaces of Orders 4 and 5." International Journal of Neutrosophic Science 24, no. 1 (2024): 94–103. http://dx.doi.org/10.54216/ijns.240109.

Full text

Abstract:

This paper will study the necessary conditions and sufficient conditions for the problem of orthogonality in 4-plithogenic and 5-plithogenic vector spaces, where we provided a definition of the real scalar products defined above these spaces, and we used the new concept of scalar product that was defined in determining the necessary and sufficient condition for the orthogonality of symbolic 4-plithogenic and 5-plithogenic vectors, in addition to calculating various norms and their metric properties. We have also provided some examples that aim to explain the scientific contribution of this wor

APA, Harvard, Vancouver, ISO, and other styles

8

Kukulin, Vladimir, V. Pomerantsev, and Amand Faessler. "Generalized orthogonality-condition model for the NN interaction." Physical Review C 59, no. 6 (1999): 3021–34. http://dx.doi.org/10.1103/physrevc.59.3021.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Zhukov, A. A., G. A. Maslennikov, and M. V. Chekhova. "Operationalistic orthogonality condition for single-mode biphotons (qutrits)." Journal of Experimental and Theoretical Physics Letters 76, no. 10 (2002): 596–99. http://dx.doi.org/10.1134/1.1541042.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Yakymiv, R. Ya. "Representations of canonical anticommutation relations with orthogonality condition." Ukrainian Mathematical Journal 64, no. 9 (2013): 1440–47. http://dx.doi.org/10.1007/s11253-013-0726-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

More sources

Dissertations / Theses on the topic "Orthogonality condition"

1

Krasnitskiy, S. M., and D. S. Silvestrov. "Condition of orthogonality of probabilistic measures corresponding to gaussian generalized random processes with independent values." Thesis, Київський національний університет технологій та дизайну, 2019. https://er.knutd.edu.ua/handle/123456789/14620.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Saidykhan, A. "Synthetic, spectroscopic and computational studies of aromatic compounds : structure, fragmentation and novel dimerisation of indoles under electrospray conditions, and innovative nitrogen to carbon rearrangement of orthogonally protected sulphonamides and related compounds." Thesis, University of Bradford, 2015. http://hdl.handle.net/10454/14428.

Full text

Abstract:

The complementary value of vibrational spectroscopy and mass spectrometry in obtaining structural information on a range of tricyclic indoles with various ring patterns has been investigated, focusing particularly on whether these heterocycles with a functional group containing oxygen in the third ring should be described as ketoindoles or hydroxindolenines. Parallels between certain fragmentations of ionised indoles and electrophilic substitution in solution have been identified. A mechanistically interesting and analytically useful interesting dimerisation, leading to the formation of [2M-H]

APA, Harvard, Vancouver, ISO, and other styles

3

Saidykhan, Amie. "Synthetic, Spectroscopic and Computational Studies of Aromatic Compounds. Structure, Fragmentation and Novel Dimerisation of Indoles under Electrospray Conditions, and Innovative Nitrogen to Carbon Rearrangement of Orthogonally Protected Sulphonamides and Related Compounds." Thesis, University of Bradford, 2015. http://hdl.handle.net/10454/14428.

Full text

Abstract:

The complementary value of vibrational spectroscopy and mass spectrometry in obtaining structural information on a range of tricyclic indoles with various ring patterns has been investigated, focusing particularly on whether these heterocycles with a functional group containing oxygen in the third ring should be described as ketoindoles or hydroxindolenines. Parallels between certain fragmentations of ionised indoles and electrophilic substitution in solution have been identified. A mechanistically interesting and analytically useful interesting dimerisation, leading to the formation of [2M-H

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Orthogonality condition"

1

Butler, J. S. Weighted log-likelihood functions, weighted orthogonality conditions, and sample design. University of Wisconsin--Madison, 1985.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Orthogonality condition"

1

Sakhnovich, L. A. "Condition of Orthogonality of Spectral Matrix Function." In Operator Theory, System Theory and Related Topics. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8247-7_20.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Szolgay, Dániel, and Tamás Szirányi. "Orthogonality Based Stopping Condition for Iterative Image Deconvolution Methods." In Computer Vision – ACCV 2010. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19282-1_26.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Ruedin, Ana M. C. "Theorems Relating Polynomial Approximation, Orthogonality and Balancing Conditions for the Design of Nonseparable Bidimensional Multiwavelets." In Advanced Concepts for Intelligent Vision Systems. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04697-1_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

"Orthogonality relations." In Heun’s Differential Equations, edited by A. Ronveaux. Oxford University PressOxford, 1995. http://dx.doi.org/10.1093/oso/9780198596950.003.0006.

Full text

Abstract:

Abstract Three types of orthogonality relation are known for solutions of Heun’s equation. Such relations, as we would expect, hold among solutions satisfying various boundary conditions. (a) For Heun functions, relative to a pair of singularities S1,S2, there hold what may conveniently be called ‘single’ orthogonality relations, of the familiar kind associated with Sturm-Lionville eigenvalue problems.

APA, Harvard, Vancouver, ISO, and other styles

5

Hammond, B. L., P. J. Reynolds, and W. A. Lester. "Valence quantum Monte Carlo with ab initio effective core potentials." In Quantum Monte Carlo. Oxford University PressNew York, NY, 2007. http://dx.doi.org/10.1093/oso/9780195310108.003.0047.

Full text

Abstract:

Abstract This paper reports a more elaborate treatment than either of the other papers reporting effective potentials in QMC calculations in 1987 and 1988. Although justified here as a means to avoid the higher computational requirements of heavy (large Z) atoms, the advantages of eliminating core electrons apply equally well for systems of lighter atoms such as carbon, nitrogen, and oxygen. The treatment in this paper begins with a valence-electron Schrödinger equation in which core electrons are missing. The nuclear charges are replaced by reduced effective nuclear charges, and the corevalen

APA, Harvard, Vancouver, ISO, and other styles

6

Nunes de Souza, Aline, Rodrigo Marques de Figueiredo, Vitor Camargo Nardelli, and Jean Schmith. "Analysis of Similarity Structures for Star Identification in Blurred Images." In Image Sensors - Digital Imaging Systems and Applications [Working Title]. IntechOpen, 2025. https://doi.org/10.5772/intechopen.1009884.

Full text

Abstract:

Astronomical observations often suffer from environmental variations that cause blurring in telescopes, compromising the quality and sharpness of the captured images. To mitigate these effects, this work proposes a methodology for detecting stars in blurred images by developing a mathematical model based on probabilistic approaches, exploring the relationship between the light dispersion of stars and a Gaussian distribution. The developed model incorporates two approaches to define the similarity structure: correlation and orthogonality similarity. The results obtained did not show false posit

APA, Harvard, Vancouver, ISO, and other styles

7

Rajeswari, V., and Dr T. Nithiya. "NONLINEAR QUANTUM ALGEBRAIC TOPOLOGICAL MODEL FOR COMPUTING MINIMUM TRANSITION HOMOLOGIES USING JOINT CLUSTER PAINLEVE NETWORK THEORY." In Futuristic Trends in Contemporary Mathematics & Applications Volume 3 Book 1. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/v3bjcm1p1ch9.

Full text

Abstract:

Developing immense in network communication, complex topology is one of main structural problem in Transition homologies. Due to this nonlinear structure creates a redundant network life time foe energy loses due to distance theory of connective nodes in network leads data transmission failures. Existing analytics model estimates the linear substance based distance theory to process the Data Transition Homologies (DTH) indeed of nonlinear structure because of dynamic topology in homotphy to improve the network communication. To resolve this problem, we propose a Nonlinear Quantum Algebraic Top

APA, Harvard, Vancouver, ISO, and other styles

8

Newnham, Robert E. "Transformation operators for symmetry elements." In Properties of Materials. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198520757.003.0006.

Full text

Abstract:

Since the physical property tensors depend on symmetry, mathematical methods for determining the influence of symmetry are needed. More specifically, transformation matrices are required for the symmetry elements that generate the crystal class. As explained earlier, some classes require only one symmetry element while others may require two or three. None require more than three. This chapter also includes a brief discussion of the seven Curie groups used for textured solids and liquids. As explained in Chapter 2, transformations from one coordinate system to another can be specified by a set

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Orthogonality condition"

1

Leitner, Patrick, Philipp Preinstorfer, David Jolly, Victoria Jolly, and John Orr. "Assessment of the load-bearing capacity of textile-reinforced shell structures created with a free form-finding approach." In IABSE Symposium, Tokyo 2025: Environmentally Friendly Technologies and Structures: Focusing on Sustainable Approaches. International Association for Bridge and Structural Engineering (IABSE), 2025. https://doi.org/10.2749/tokyo.2025.1359.

Full text

Abstract:

<p>Shell structures are primarily subjected to compressive stresses if their geometry is adjusted to the applied loading. Still, the geometry in a real environment usually deviates from an optimal form for load-bearing due to tolerances and architectural demands, thus causing additional bending moments (<i>m</i>) and normal forces (<i>n</i>). The use of textile-reinforced concrete (TRC) makes it possible to reduce thickness and thus the dead weight of a shell, though it also increases the sensitivity for deviations from perfect conditions. Additionally, textile re

APA, Harvard, Vancouver, ISO, and other styles

2

KUROKAWA, C., H. MASUI, T. MYO, and K. KATŌ. "COUPLED-CHANNEL ORTHOGONALITY CONDITION MODEL IN JOST FUNCTION METHOD." In Proceedings of the International Symposium on Post-Symposium of YKIS01. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777577_0042.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Yarleque Medina, M. A., D. Schreurs, and B. Nauwelaers. "Harmonic orthogonality condition in RF Class-E Power Amplifiers." In 2006 Asia-Pacific Microwave Conference. IEEE, 2006. http://dx.doi.org/10.1109/apmc.2006.4429457.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

New, G. H. C., and M. A. Rippin. "The physical origin of excess noise." In The European Conference on Lasers and Electro-Optics. Optica Publishing Group, 1994. http://dx.doi.org/10.1364/cleo_europe.1994.ctuo2.

Full text

Abstract:

In an important 1979 paper,1 Petermann pointed out that, in certain laser resonator geometries, a typical mode may exhibit more noise than expected on the basis of the standard quantum mechanical "one photon per mode" prescription. It was subsequently shown by other authors2 that this arises because the self-producing field patterns that are commonly referred to as laser "modes" are not true modes of the radiation field. Rather than obeying the familiar condition of power-orthogonality, these satisfy the more general condition of biorthogonality with respect to a set of adjoint modes that corr

APA, Harvard, Vancouver, ISO, and other styles

5

Huang, Wei, Weitao Du, and Richard Yi Da Xu. "On the Neural Tangent Kernel of Deep Networks with Orthogonal Initialization." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/355.

Full text

Abstract:

The prevailing thinking is that orthogonal weights are crucial to enforcing dynamical isometry and speeding up training. The increase in learning speed that results from orthogonal initialization in linear networks has been well-proven. However, while the same is believed to also hold for nonlinear networks when the dynamical isometry condition is satisfied, the training dynamics behind this contention have not been thoroughly explored. In this work, we study the dynamics of ultra-wide networks across a range of architectures, including Fully Connected Networks (FCNs) and Convolutional Neural

APA, Harvard, Vancouver, ISO, and other styles

6

Hassanpour, Pezhman A., Ebrahim Esmailzadeh, William L. Cleghorn, and James K. Mills. "Nonlinear Vibration of Micromachined Resonators With Attached Excitation/Detection Electrostatic Comb-Drives." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66811.

Full text

Abstract:

Micromachined beams are widely used as resonant structures. The electrostatic interdigitated comb-drives are commonly utilized for exciting/detecting the vibration of these resonators. Recent investigations into the analytical model of the resonator have shown that the added mass due to the comb-drive not only alters the natural frequencies of the resonator, but also changes the mode shapes of vibration. In this paper, the analytical model is extended to include the nonlinear effects due to the stretching of the beam. The generalized orthogonality condition along with the method of assumed-mod

APA, Harvard, Vancouver, ISO, and other styles

7

Minas, C., and S. Kodiyalam. "Vibration Analysis of Bladed Disc Assemblies." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0519.

Full text

Abstract:

Abstract The dynamic behavior of a bladed disc assembly was determined by developing a finite element model (FEM). The object of this work is to develop an understanding of the dynamic behavior of the system with respect to the various boundary conditions. The analysis included variation of the boundary conditions at the blade-disc interface, between adjacent blades, and the shroud. It was clearly shown that only certain mode patterns are affected with respect to a particular boundary condition, leaving the remaining modes unchanged. The quantitative effect of the various boundary conditions w

APA, Harvard, Vancouver, ISO, and other styles

8

Li, Han, and Brent C. Houchens. "Numerical Issues Associated With the Full-Zone Model of the Optically Heated Floating-Zone Used in Semiconductor Processing." In ASME 2008 Fluids Engineering Division Summer Meeting collocated with the Heat Transfer, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/fedsm2008-55169.

Full text

Abstract:

Recent models of the thermocapillary driven liquid bridge or full-zone (FZ) have highlighted numerical difficulties in the system, associated with the large velocity gradients near the free surface and the geometric singularity at r = 0. High resolution spectral solutions have been developed to account for these issues. These result in complex representations and highly specialized numerical procedures. After a brief review of these methods, a simplified formulation for the FZ model with strong form boundary conditions is proposed and discussed. Comparisons are made using base flows and stabil

APA, Harvard, Vancouver, ISO, and other styles

9

Savenkov, Sergey N., and Yevgeny A. Oberemok. "Generalized conditions for eigenpolarizations orthogonality: Jones matrix calculus." In SPIE Defense and Security Symposium, edited by David B. Chenault and Dennis H. Goldstein. SPIE, 2008. http://dx.doi.org/10.1117/12.783958.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Foster, Dylan J., and Vasilis Syrgkanis. "Statistical Learning with a Nuisance Component (Extended Abstract)." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/654.

Full text

Abstract:

We provide excess risk guarantees for statistical learning in a setting where the population risk with respect to which we evaluate a target parameter depends on an unknown parameter that must be estimated from data (a "nuisance parameter"). We analyze a two-stage sample splitting meta-algorithm that takes as input two arbitrary estimation algorithms: one for the target parameter and one for the nuisance parameter. We show that if the population risk satisfies a condition called Neyman orthogonality, the impact of the nuisance estimation error on the excess risk bound achieved by the meta-algo

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!