Academic literature on the topic 'Almost orthogonality'

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Journal articles on the topic "Almost orthogonality"

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Kopecká, Eva. "Almost isometries and orthogonality." Journal of Functional Analysis 222, no. 2 (May 2005): 253–73. http://dx.doi.org/10.1016/j.jfa.2005.01.006.

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Chmieliński, Jacek, and Jürg Rätz. "Orthogonality equation almost everywhere." Publicationes Mathematicae Debrecen 52, no. 3-4 (April 1, 1998): 317–35. http://dx.doi.org/10.5486/pmd.1998.2008.

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Torres, Rodolfo H. "Almost-Orthogonality in Fourier Analysis." Notices of the American Mathematical Society 67, no. 08 (September 1, 2020): 1. http://dx.doi.org/10.1090/noti2133.

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Minkin, Arcady. "Almost orthogonality of Birkhoff’s Solutions." Results in Mathematics 24, no. 3-4 (November 1993): 280–87. http://dx.doi.org/10.1007/bf03322336.

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Ben-Yaacov, Itay, and Frank O. Wagner. "On almost orthogonality in simple theories." Journal of Symbolic Logic 69, no. 2 (June 2004): 398–408. http://dx.doi.org/10.2178/jsl/1082418533.

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Abstract.1. We show that if p is a real type which is internal in a set Σ of partial types in a simple theory, then there is a type p′ interbounded with p, which is finitely generated over Σ, and possesses a fundamental system of solutions relative to Σ.2. If p is a possibly hyperimaginary Lascar strong type, almost Σ-internal, but almost orthogonal to Σω, then there is a canonical non-trivial almost hyperdefinable polygroup which multi-acts on p while fixing Σ generically In case p is Σ-internal and T is stable, this is the binding group of p over Σ.
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Weigt, Julian. "Almost-orthogonality of restricted Haar functions." Proceedings of the American Mathematical Society 148, no. 2 (October 18, 2019): 601–9. http://dx.doi.org/10.1090/proc/14752.

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

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He, Chan, and Dan Wang. "A Remark on the Homogeneity of Isosceles Orthogonality." Journal of Function Spaces 2014 (2014): 1–3. http://dx.doi.org/10.1155/2014/876015.

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Inspired by the definition of homogeneous direction of isosceles orthogonality, we introduce the notion of almost homogeneous direction of isosceles orthogonality and show that, surprisingly, these two notions coincide. Several known characterizations of inner products are improved.
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Bényi, Árpád, and Rodolfo H. Torres. "Almost orthogonality and a class of bounded bilinear pseudodifferential operators." Mathematical Research Letters 11, no. 1 (2004): 1–11. http://dx.doi.org/10.4310/mrl.2004.v11.n1.a1.

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Liao, Fanghui, and Zongguang Liu. "Some Properties of Triebel–Lizorkin and Besov Spaces Associated with Zygmund Dilations." Canadian Mathematical Bulletin 59, no. 4 (December 1, 2016): 834–48. http://dx.doi.org/10.4153/cmb-2016-030-9.

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AbstractIn this paper, using Calderón’s reproducing formula and almost orthogonality estimates, we prove the lifting property and the embedding theorem of the Triebel–Lizorkin and Besov spaces associated with Zygmund dilations.
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Book chapters on the topic "Almost orthogonality"

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Wilson, Michael. "Bounded Variation, Convexity, and Almost-Orthogonality." In Harmonic Analysis, Partial Differential Equations and Applications, 275–301. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52742-0_14.

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Wilson, Michael. "The Necessity of A ∞ for Translation and Scale Invariant Almost-Orthogonality." In Association for Women in Mathematics Series, 435–60. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51593-9_17.

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"Revisiting almost orthogonality and eigenexpansions." In Function Spaces, Interpolation Theory and Related Topics, edited by Michael Cwikel, Miroslav Englis, Alois Kufner, Lars-Erik Persson, and Gunnar Sparr. Berlin, New York: Walter de Gruyter, 2002. http://dx.doi.org/10.1515/9783110198058.249.

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"VII. Pseudo-Differential and Singular Integral Operators: Almost Orthogonality." In Harmonic Analysis (PMS-43), 269–328. Princeton: Princeton University Press, 1993. http://dx.doi.org/10.1515/9781400883929-010.

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Davies, Jamie A. "2. How synthetic biology is done." In Synthetic Biology: A Very Short Introduction, 28–46. Oxford University Press, 2018. http://dx.doi.org/10.1093/actrade/9780198803492.003.0002.

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Synthetic biology depends on technologies for reading and writing DNA sequences of genes. Modification is almost always done at the genetic level because genes are heritable, needing to be engineered only once. ‘How synthetic biology is done’ describes the processes of sequencing DNA and DNA synthesis. Sequencing DNA is important for two main reasons: to analyse natural genes and natural gene-controlling regions of DNA; and to verify the correctness of DNA we have tried to write. The design of synthetic constructs is also considered along with the use of synthetic biology libraries; how the synthetic system is loaded into a living cell; and the potential issues of cross-talk and orthogonality.
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Conference papers on the topic "Almost orthogonality"

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Pushkarev, Andrei, and Vladimir Zakharov. "Nonlinear Laser-Like Ocean Waves Radiation Orthogonal to the Wind." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-19357.

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Abstract We study deep water ocean wind-driven waves in strait, with wind directed orthogonally to the shore, through exact Hassel-mann equation. The strait has “dissipative” shores, there is no any reflection from the coast lines. We show that the wave turbulence evolution can be split in time into two different regimes. During the first regime, the waves propagate along the wind, and the wind-driven sea can be described by the self-similar solutions of Hasselmann equation. The second regime starts later in time, after significant enough wave energy accumulation at the down-wind boundary. Since this moment the ensemble of waves propagating against the wind starts its formation. Also, orthogonal to the wind waves, propagating along the strait, start to appear. The wave system eventually reaches asymptotic stationary state in time, consisting of two co-existing states: the first, self-similar wave ensemble, propagating with the wind, and the second – quasi-monochromatic waves, propagating almost orthogonally to the wind direction, and tending to slant against the wind at the angle of 15° closer to the wave turbulence origination shore line. Those “secondary waves” appear only due to intensive nonlinear wave-wave interaction. The total wave energy exceeds its “expected value” approximately by the factor of two, with respect to estimated in the absence of the shores. It is expected that in the reflective shores presence this amplification will grow essentially. We propose to call this “secondary” laser-like Nonlinear Ocean Waves Amplification mechanism by the acronym NOWA.
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Rudloff, Laurent, Mihai Arghir, Olivier Bonneau, and Pierre Matta. "Experimental Analyses of a First Generation Foil Bearing: Start-Up Torque and Dynamic Coefficients." In ASME Turbo Expo 2010: Power for Land, Sea, and Air. ASMEDC, 2010. http://dx.doi.org/10.1115/gt2010-22966.

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The paper presents the results of the experimental analysis of static and dynamic characteristics of a generation 1 foil bearing of 38.1 mm diameter and L/D = 1. The test rig is of floating bearing type, the rigid shaft being mounted on ceramic ball bearings and driven up to 40 krpm. Two different casings are used for start-up and for measurement of dynamic coefficients. In its first configuration, the test rig is designed to measure the start-up torque. The foil bearing casing is made of two rings separated by a needle bearing for enabling an almost torque free rotation between the foil bearing and the static load. The basic results are the start up torque and the lift off speed. In its second configuration a different casing is used for measuring the impedances of the foil bearing. Misalignment is a problem that is minimized by using three flexible stingers connecting the foil bearing casing to the base plate of the test rig. The test rig enables the application of a static load and of the dynamic excitation on the journal bearing casing, and can measure displacements, forces and accelerations. Working conditions consisted of static loads comprised between 10 N and 50 N and rotation frequencies ranging from 260 Hz to 590 HZ. Excitation frequencies comprised between 100 Hz are 600 Hz are applied by two orthogonally mounted shakers for each working condition. Stiffness and damping coefficients are identified from the complex impedances and enable the calculation of natural frequencies. The experimental results show that the dynamic characteristics of the tested bearing have a weak dependence on the rotation speed but vary with the excitation frequency.
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