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A Non-Orthogonal Representation of the Identity Operator 98

The Additive Operator Preserving Birkhoff Orthogonal

The Additive Operator Preserving Birkhoff Orthogonal

... Phasellus fringilla, metus id feugiat con- sectetuer, lacus wisi ultrices tellus, quis lobor- tis nibh lorem quis tortor. Donec egestas ornare nulla. Mauris mi tellus, porta fau- cibus, dictum vel, nonummy in, est. Ali- ...

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A Pictorial Representation of Product Operator Formalism: Non-Classical Vector Diagrams for Multidimensional NMR

A Pictorial Representation of Product Operator Formalism: Non-Classical Vector Diagrams for Multidimensional NMR

... product operator formalism reveals that the formalism weighs more on the density operator theory side and is still not intuitive enough for a clear understanding of com- plex NMR experiments to the average ...

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Operator representation of sectorial linear relations and applications

Operator representation of sectorial linear relations and applications

... considering non-closed subspaces S of H × H one can in general consider, as we do, linear relations in H whose graphs are not necessarily closed subspaces of H × ...an operator representation of the ...

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Non Orthogonal Explicit Semantic Analysis

Non Orthogonal Explicit Semantic Analysis

... NESA-VSM-Hyperlink performs better than NESA-VSM-Text implying that considering only the hyperlinks from the article content works better than taking the overlap of whole content. NESA- ESA-WikiTitle and NESA-DiSER ...

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Orthogonal procrustes analysis for dictionary learning in sparse linear representation

Orthogonal procrustes analysis for dictionary learning in sparse linear representation

... In this experiment, the compression process is broken down into three stages. The former is a preprocessing step consisting in R-peak detection of the signal, and its normalization (i.e., filtering, zero-padding and ...

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Minimal and orthogonal residual methods and their generalizations for solving linear operator equations

Minimal and orthogonal residual methods and their generalizations for solving linear operator equations

... splitting operator plays the role of the ...an orthogonal basis of the Krylov space and generate the approximations using a QR factorization of the associated tridiagonal ...general non-Hermitian ...

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Events are Not Simple: Identity, Non Identity, and Quasi Identity

Events are Not Simple: Identity, Non Identity, and Quasi Identity

... When creating text, we treat instances of entities and events as if they are fixed, well-described, and well-understood. When we say “that boat over there” or “Mary’s wedding next month”, we as- sume the reader creates a ...

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The Schur Transformation for Nevanlinna Functions: Operator Representations, Resolvent Matrices, and Orthogonal Polynomials

The Schur Transformation for Nevanlinna Functions: Operator Representations, Resolvent Matrices, and Orthogonal Polynomials

... D. Alpay, A. Dijksma and H. Langer Dedicated to Mark Krein on the occasion of his 100th anniversary Abstract. A Nevanlinna function is a function which is analytic in the open upper half plane and has a ...

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On orthogonal polynomials spanning a non-standard flag

On orthogonal polynomials spanning a non-standard flag

... Having established that ν ≤ 2, we observe that x 3 , x 4 , x 5 ∈ U. The Wronskian of these monomials is a multiple of x 9 . Therefore, by Propo- sition 2.2, x = 0 is the unique pole. We are now ready to give the proof of ...

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Metric versus observable operator representation, higher spin models

Metric versus observable operator representation, higher spin models

... metric representation that is obtained by transferring the time- dependence from a Hermitian Hamiltonian to the metric operator in a related non-Hermitian ...and non-Hermitian spin 1/2, 1 and ...

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An Integral Representation and Pointwise Inequality for the Fractional Laplace-Beltrami Operator

An Integral Representation and Pointwise Inequality for the Fractional Laplace-Beltrami Operator

... Dirichlet-to-Neumann operator and the fractional ...first operator is local while the second is ...the non local fractional operator as a local one in one more spatial ...certain non ...

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Evaluation of Crossover Operator Performance in Genetic Algorithms With Binary Representation

Evaluation of Crossover Operator Performance in Genetic Algorithms With Binary Representation

... crossover operator plays an im- portant role as an analogue to reproduction in biological ...that orthogonal crossover operators perform much poorer on the given problem set and ...

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Terms of engagement: The collaborative representation of Alutiiq identity

Terms of engagement: The collaborative representation of Alutiiq identity

... the Week program), exhibitions, archaeology, and an ongoing project to document the island’s prehistoric rock art 7 . With planning funds from the National Endowment for the Humanities (NEH), an advisory panel of 17 ...

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Sami identity representation and revitalization in Northern Norway

Sami identity representation and revitalization in Northern Norway

... For some time, I was struggling with how the be a non-indigenous researcher researching indigenous people. I was worried I would not realize when I was making assumptions. Besides that, I did not want to barge ...

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Identity, Representation and Transcultural Adaptation in Delius's Koanga

Identity, Representation and Transcultural Adaptation in Delius's Koanga

... characters, non-white characters at that, who do not adhere to the system of social and racial binarisms which the power structure of the planation upholds and ...

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Symbolic orthogonal projections : a new polyhedral representation for reachability analysis of hybrid systems

Symbolic orthogonal projections : a new polyhedral representation for reachability analysis of hybrid systems

... 7.2. Outlook be worth to inspect the relationship of the structure of sops before and after ap- plication of a geometrical operation to find at least a decision procedure for some special cases. For the second problem ...

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Quantum tests of causal structures and non-orthogonal states

Quantum tests of causal structures and non-orthogonal states

... Chapter 5 Summary and Conclusions In this thesis we have discussed two experiments in quantum optics. In Chapter 3, we demonstrated causal tomography of several different causal structures. We implemented a process that ...

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Application of Operator Theory for the Representation of Continuous and Discrete Distributed Parameter Systems

Application of Operator Theory for the Representation of Continuous and Discrete Distributed Parameter Systems

... the non-regularity of the system operators by exploiting properties of the bases in suitable functional spaces formed by the eigenfunc- tions and associated functions of certain ...an operator is sectorial, ...

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Veteran Identity and Gender Representation: A Critical Visual Analysis

Veteran Identity and Gender Representation: A Critical Visual Analysis

... changed over time. Today, most, if not all women have “non-traditional” roles. The Sex and the City and Entourage shows are interesting to examine because they break traditional roles of gender ...

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On the Continuity of Orthogonal Sets in the Sense of Operator Orthogonality

On the Continuity of Orthogonal Sets in the Sense of Operator Orthogonality

... But, in normed spaces, there is no simple tool for define orthogonal vectors. However, there are some good suggestions. One of them, is the Birkhoff James orthogonality [2]. Let X be a real normed space, and x, y ...

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