Search results for "Pace"
showing 10 items of 21903 documents
CCDC 1433602: Experimental Crystal Structure Determination
2017
Related Article: H. Purandara, S. Foro, B. Thimme Gowda|2017|Acta Crystallogr.,Sect.E:Cryst.Commun.|73|1683|doi:10.1107/S2056989017014669
CCDC 2144108: Experimental Crystal Structure Determination
2022
Related Article: Natalina Makieieva, Teobald Kupka, Grzegorz Spaleniak, Oimahmad Rahmonov, Agata Marek, Alfred Błażytko, Leszek Stobiński, Nataliya Stadnytska, Danuta Pentak, Aneta Buczek, Małgorzata A. Broda, Piotr Kuś, Joachim Kusz, Maria Książek|2022|Struct.Chem.|33|2133|doi:10.1007/s11224-022-02026-7
CCDC 2027280: Experimental Crystal Structure Determination
2020
Related Article: Christian Schumacher, Hannah Fergen, Rakesh Puttreddy, Khai-Nghi Truong, Torsten Rinesch, Kari Rissanen, Carsten Bolm|2020|Org.Chem.Front.|7|3896|doi:10.1039/D0QO01139H
CCDC 1977987: Experimental Crystal Structure Determination
2020
Related Article: Mouad Filali, El Mestafa El Hadrami, Rosaria Bruno, Giovanni De Munno, Abdeslem Bentama, Miguel Julve, Salah-Eddine Stiriba|2020|J.Mol.Struct.|1217|128420|doi:10.1016/j.molstruc.2020.128420
CCDC 2027296: Experimental Crystal Structure Determination
2020
Related Article: Christian Schumacher, Hannah Fergen, Rakesh Puttreddy, Khai-Nghi Truong, Torsten Rinesch, Kari Rissanen, Carsten Bolm|2020|Org.Chem.Front.|7|3896|doi:10.1039/D0QO01139H
On the Almost Everywhere Convergence of Multiple Fourier-Haar Series
2019
The paper deals with the question of convergence of multiple Fourier-Haar series with partial sums taken over homothetic copies of a given convex bounded set $$W\subset\mathbb{R}_+^n$$ containing the intersection of some neighborhood of the origin with $$\mathbb{R}_+^n$$ . It is proved that for this type sets W with symmetric structure it is guaranteed almost everywhere convergence of Fourier-Haar series of any function from the class L(ln+L)n−1.
Problem Space Identification for Developing Virtual Reality Learning Environments
2021
Our study argues that the extant literature on virtual reality-based learning environments (VRLEs) currently lacks proper definitions and context descriptions for a problem space, which is fundamental for conducting design science research (DSR). Without properly conducted problem space identification, the most pivotal problems cannot be identified resulting solutions lacking validity and unreliable evaluations. This is a major challenge for the DSR in the educational field, but also for the research on VRLEs. The purpose of this paper is to introduce a novel DSR method to support rigorous problem space identification, which would allow rigorous and profound problem space analysis. The inst…
GRB 090313 AND THE ORIGIN OF OPTICAL PEAKS IN GAMMA-RAY BURST LIGHT CURVES: IMPLICATIONS FOR LORENTZ FACTORS AND RADIO FLARES
2010
We use a sample of 19 gamma-ray bursts (GRBs) that exhibit single-peaked optical light curves to test the standard fireball model by investigating the relationship between the time of the onset of the afterglow and the temporal rising index. Our sample includes GRBs and X-ray flashes for which we derive a wide range of initial Lorentz factors (40 < Γ < 450). Using plausible model parameters, the typical frequency of the forward shock is expected to lie close to the optical band; within this low typical frequency framework, we use the optical data to constrain εe and show that values derived from the early time light-curve properties are consistent with published typical values derived from …
Frame-related Sequences in Chains and Scales of Hilbert Spaces
2022
Frames for Hilbert spaces are interesting for mathematicians but also important for applications in, e.g., signal analysis and physics. In both mathematics and physics, it is natural to consider a full scale of spaces, and not only a single one. In this paper, we study how certain frame-related properties of a certain sequence in one of the spaces, such as completeness or the property of being a (semi-) frame, propagate to the other ones in a scale of Hilbert spaces. We link that to the properties of the respective frame-related operators, such as analysis or synthesis. We start with a detailed survey of the theory of Hilbert chains. Using a canonical isomorphism, the properties of frame se…
Frames and weak frames for unbounded operators
2020
In 2012 G\u{a}vru\c{t}a introduced the notions of $K$-frame and of atomic system for a linear bounded operator $K$ in a Hilbert space $\mathcal{H}$, in order to decompose its range $\mathcal{R}(K)$ with a frame-like expansion. In this article we revisit these concepts for an unbounded and densely defined operator $A:\mathcal{D}(A)\to\mathcal{H}$ in two different ways. In one case we consider a non-Bessel sequence where the coefficient sequence depends continuously on $f\in\mathcal{D}(A)$ with respect to the norm of $\mathcal{H}$. In the other case we consider a Bessel sequence and the coefficient sequence depends continuously on $f\in\mathcal{D}(A)$ with respect to the graph norm of $A$.