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On Linearized Poisson Structures
Mathematical Notes, 2001The linearizability of a given Poisson structure \(\Psi \) at a non-zero dimensional symplectic leaf B (\(\dim B\geq 1\)) is studied. Two basic structures are introduced: a normal bundle \(E\) to the symplectic leaf \(B\) and the pull-back \(\Psi _{f}\) of the Poisson structure \(\Psi \) to \(E\) via an exponential map \(f\).
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2015
A linear analysis is conducted if a structure is expected to exhibit linear behavior. The deformation and load-carrying capability can be determined by employing one of the analysis types available in ANSYS, static or dynamic, depending on the nature of the applied loading.
Erdogan Madenci, Ibrahim Guven
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A linear analysis is conducted if a structure is expected to exhibit linear behavior. The deformation and load-carrying capability can be determined by employing one of the analysis types available in ANSYS, static or dynamic, depending on the nature of the applied loading.
Erdogan Madenci, Ibrahim Guven
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Linear‐Rational Term Structure Models
The Journal of Finance, 2014ABSTRACTWe introduce the class of linear‐rational term structure models in which the state price density is modeled such that bond prices become linear‐rational functions of the factors. This class is highly tractable with several distinct advantages: (i) ensures nonnegative interest rates, (ii) easily accommodates unspanned factors affecting ...
DAMIR FILIPOVIĆ +2 more
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Proceedings of the 50th ACM Technical Symposium on Computer Science Education, 2019
Pedagogical content knowledge (PCK), which includes knowledge of student understanding and knowledge of instructional strategies to support learning, is a component of teaching expertise that develops over time and with experience. In this poster, I present exploratory work to identify and categorize PCK amongst secondary teachers new to computing ...
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Pedagogical content knowledge (PCK), which includes knowledge of student understanding and knowledge of instructional strategies to support learning, is a component of teaching expertise that develops over time and with experience. In this poster, I present exploratory work to identify and categorize PCK amongst secondary teachers new to computing ...
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2016
A sequence {e i }i = 1 ∞ in a Banach space X is called a Schauder basis for X if for each x ∈ X there is a unique sequence of scalars {α i }i = 1 ∞ such that \(x =\sum _{ i=1}^{\infty }\alpha _{i}e_{i}\). If the convergence of this series is unconditional for all x ∈ X (i.e., any rearrangement of it converges), we say that the Schauder basis is ...
Antonio J. Guirao +2 more
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A sequence {e i }i = 1 ∞ in a Banach space X is called a Schauder basis for X if for each x ∈ X there is a unique sequence of scalars {α i }i = 1 ∞ such that \(x =\sum _{ i=1}^{\infty }\alpha _{i}e_{i}\). If the convergence of this series is unconditional for all x ∈ X (i.e., any rearrangement of it converges), we say that the Schauder basis is ...
Antonio J. Guirao +2 more
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Structure of Liquid Linear Alcohols
The Journal of Physical Chemistry B, 2010The properties of linear alcohols in the liquid phase are studied by molecular dynamics simulations. We analyze the effects of the use of bond length constraints on the simulation density, self-diffusion constant, and hydrogen-bonding characteristics of the alcohol series. We find that the densities are well-reproduced in each of the cases but that the
J, Lehtola, M, Hakala, K, Hämäläinen
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Electronic Structure of Linear Polyacenes
Current Organic Chemistry, 2018Linear polyacene hydrocarbons C4n+2H2n+2 consisting in the linear condensation of n aromatic hexagonal rings, have been used in prototypical studies of electronic delocalization, relevant for conduction effects. The results of density functional theory (DFT) calculations were interpreted by analytical simplified models, such as Hückel simple orbital ...
Cimpoesu F +5 more
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2013
We define structured linear systems to include sparse systems or systems with correlated entries or both. We define the structured backward error and a structured condition number. We give examples of various classes of structured linear systems and examples of algorithms that take advantage of the special structure. ⊲
Robert M. Corless, Nicolas Fillion
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We define structured linear systems to include sparse systems or systems with correlated entries or both. We define the structured backward error and a structured condition number. We give examples of various classes of structured linear systems and examples of algorithms that take advantage of the special structure. ⊲
Robert M. Corless, Nicolas Fillion
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2020
In the previous chapter, we looked at an overview of data structures and algorithms. From this chapter forward, we will explore the types of data structures there are, beginning with the simple linear data structures. It is important to understand linear data structures because they get you into the mind-set of what a data structure is rather ...
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In the previous chapter, we looked at an overview of data structures and algorithms. From this chapter forward, we will explore the types of data structures there are, beginning with the simple linear data structures. It is important to understand linear data structures because they get you into the mind-set of what a data structure is rather ...
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Structurally Invariant Linear Models of Structurally Varying Linear Systems
1978In the process of model building, assumptions leading to linearity are routinely made since the resulting models can be thoroughly understood using analytical techniques. Another assumption that is also very commonly used along with linearity is the assumption of invariance, or uniformity, of structure with respect to some set of supporting variables ...
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