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Inversion Formulae on Permutations Avoiding 321 [PDF]
We will study the inversion statistic of $321$-avoiding permutations, and obtain that the number of $321$-avoiding permutations on $[n]$ with $m$ inversions is given by\[|\mathcal {S}_{n,m}(321)|=\sum_{b \vdash m}{n-\frac{\Delta(b)}{2}\choose l(b)}.\]where the sum runs over all compositions $b=(b_1,b_2,\ldots,b_k)$ of $m$, i.e.,\[m=b_1+b_2+\cdots+b_k ...
Pingge Chen, Zhousheng Mei, Suijie Wang
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Ferroelectricity in Antiferromagnetic Wurtzite Nitrides
We establish MnSiN2${\rm MnSiN}_2$ and MnGeN2${\rm MnGeN}_2$ as aristotypes of a new multiferroic wurtzite family that simultaneously exhibits ferroelectricity and antiferromagnetism with altermagnetic spin splitting. By strategically substituting alkaline‐earth metals, we predict new materials with coexisting switchable polarization, spin texture, and
Steven M. Baksa +3 more
wiley +1 more source
Deep Convolutional Neural Network With Attention Module for Seismic Impedance Inversion
Seismic inversion is an approach to obtain the physical properties of the Earth layers from the seismic data, which aids in reservoir characterization. In seismic inversion, spatially variable physical parameters, such as impedance ($Z$), wave velocities
Vineela Chandra Dodda +4 more
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Here, we provide the reader with the current state of the art in the fabrication of high‐T2‐coherence diamond, optimized through the use of double electron–electron resonance (DEER) spectroscopy. We reveal the main as well as yet unidentified spin defects, the reduction of which is essential for reducing the spin bath and fabricating materials for ...
Olga Rubinas +6 more
wiley +1 more source
Applying satellite observations to improve bottom-up national emission inventories for methane: application to Colombia [PDF]
Countries report inventories of methane emissions under the Paris Agreement to the United Nations Framework Convention on Climate Change (UNFCCC), but these estimates can have large uncertainties in activity data and emission factors.
S. E. Hancock +23 more
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A three‐dimensional magnetic field sensor is realized in chiral W/CoFeB/MgO multilayers, where spin–orbit torques reversibly reconfigure homochiral stripe domains. The symmetry of the torque enables offset‐free in‐plane sensing, while the reproducible domain reconfiguration extends the linear out‐of‐plane range. An anomalous Hall readout delivers large‐
Sabri Koraltan +16 more
wiley +1 more source
To overcome the limitations of gravity inversion methods in fault inversion, this paper proposed a constrained adaptive weighted particle swarm optimization algorithm.
Shiquan Su +4 more
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When an abelian variety has a principal polarization, it is self-dual. However, when the normalization is not principal, the problem of giving an explicit formula for the ``inversion'' (by which the author means taking the opposite with respect to the group law), on the Heisenberg group associated to the polarizing bundle, becomes subtle and important.
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On An Inversion Formula For The Laplace Transformation [PDF]
1. Introduction. The literature of the Laplace transformation contains many examples of inversion operators. Particular attention has been given in this literature to the so-called “real” inversion operators, that is, those operators which make use of values of the generating function arising only from real values of the independent variable.
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Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska +5 more
wiley +1 more source

