Results 91 to 100 of about 1,127,435 (287)

Fourier transform of hn(x + p)hn(x − p)

International Journal of Mathematics and Mathematical Sciences, 1997
We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.
Mourad E. H. Ismail, Krzystztof Stempak
doaj   +1 more source

Fast‐Responding O2 Gas Sensor Based on Luminescent Europium Metal‐Organic Frameworks (MOF‐76)

Advanced Functional Materials, EarlyView.
Luminescent MOF‐76 materials based on Eu(III) and mixed Eu(III)/Y(III) show rapid and reversible changes in emission intensity in response to O2 with very short response times. The effect is based on triplet quenching of the linker ligands that act as photosensitizers. Average emission lifetimes of a few milliseconds turn out to be mostly unaffected by
Zhenyu Zhao, Christian Weinberger, Jakob Steube, Matthias Bauer, Martin Brehm, Michael Tiemann   +5 more
wiley   +1 more source

Four Particular Cases of the Fourier Transform

Mathematics, 2018
In previous studies we used Laurent Schwartz’ theory of distributions to rigorously introduce discretizations and periodizations on tempered distributions.
Jens V. Fischer
doaj   +1 more source

REVISED FAST FOURIER TRANSFORM

Radio Electronics, Computer Science, Control, 2014
The problem of realisation of the Discrete Fourier Transform in on-line is analysed because of non-efficient consuming a time for a new recalculation of spectrum samples if one discrete-time signal sample or even some small portion of samples in period are replaced by new sample or by new samples, respectively.
openaire   +4 more sources

Fourier transforms of hypercomplex signals [PDF]

, 2011
An overview is given to a new approach for obtaining generalized Fourier transforms in the context of hypercomplex analysis (or Clifford analysis). These transforms are applicable to higher-dimensional signals with several components and are different ...
De Bie, Hendrik, De Schepper, Nele
core   +1 more source

Electroactive Metal–Organic Frameworks for Electrocatalysis

Advanced Functional Materials, EarlyView.
Electrocatalysis is crucial in sustainable energy conversion as it enables efficient chemical transformations. The review discusses how metal–organic frameworks can revolutionize this field by offering tailorable structures and active site tunability, enabling efficient and selective electrocatalytic processes.
Irena Senkovska, Yutong Luo, Ruyan Zhao, Jianjun Zhang, Mingchao Wang, Xinliang Feng, Eike Brunner, Stefan Kaskel   +7 more
wiley   +1 more source

Fractional Fourier transform of Airyprime beams

Results in Physics
Analytical expressions of the electric field, the centriod, the beam half width, and the linear momentum of the fractional Fourier transform (FrFT) of an Airyprime beam are derived, respectively. The relation between the centriods or the beam half widths
Jian He, Jia-Hao Chen, Yong-Zhou Ni, Fei Wang, Yi-Min Zhou, Guo-Quan Zhou   +5 more
doaj   +1 more source

Logarithm of the Discrete Fourier Transform

International Journal of Mathematics and Mathematical Sciences, 2007
The discrete Fourier transform defines a unitary matrix operator. The logarithm of this operator is computed, along with the projection maps onto its eigenspaces. A geometric interpretation of the discrete Fourier transform is also given.
Michael Aristidou, Jason Hanson
doaj   +1 more source

On‐Surface Indigo‐Based Bimolecular Coordination Networks with Programmable Regular or Vitreous Structure

Advanced Functional Materials, EarlyView.
A previously unreported coordination motif stabilising single Fe atoms by indigo chelation and pyridyl coordination on Au(111) has been revealed. By using planar tritopic pyridyl linkers (TPyB), extended 2D porous networks of indigo3(TPyB)2Fe6 form. These networks can be crystalline or vitreous and offer an environment where individual coordination ...
Hongxiang Xu, Ritam Chakraborty, Biao Yang, Dennis Meier, Joachim Reichert, Svetlana Klyatskaya, Mario Ruben, Shobhana Narasimhan, Johannes V. Barth, Anthoula C. Papageorgiou   +9 more
wiley   +1 more source

3D‐Printed Sulfur‐Derived Polymers With Controlled Architectures for Lithium‐Sulfur Batteries

Advanced Functional Materials, EarlyView.
Rheology‐guided formulation design for direct ink writing enables the fabrication of 3D sulfur copolymer cathodes with controlled architectures for lithium‐sulfur batteries. The printed electrodes exhibit multiscale porosity and high sulfur utilization, delivering enhanced electrochemical performance compared to conventional cast electrodes.
Bin Ling, Haoran Wang, Pan Yang, Rishav Agrawal, Alex R. Neale, Laurence J. Hardwick, Tom Hasell, Esther García‐Tuñón   +7 more
wiley   +1 more source