Twelve-dimensional Stroh-like formalism for Kirchhoff anisotropic piezoelectric thin plates by Wang, Xu, Zhou, Kun

“…Some identities associated with the new formalism are derived. It is rigorously proved that each 3 × 3 partitioned matrix of the introduced three 6 × 6 real matrices S, H and L and the 6 × 6 Hermitian matrix M is a second-order tensor. …”
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Experimental demonstration of a unified framework for mixed-state geometric phases by Zhu, J, Shi, M, Vedral, V, Peng, X, Suter, D, Du, J

“…Here, we unify two proposed definitions of the geometric phase in mixed states - Uhlmann's phase and Sjöqvist's phase - in a new formalism based on interferometry and further provide an experimental demonstration in NMR. …”

More on the first-order thermodynamics of scalar-tensor and Horndeski gravity by Valerio Faraoni, Julien Houle

“…The application of this new formalism to FLRW cosmology is shown to be fully legitimate and then extended to all Bianchi universes. …”
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Environmentally dependent bond-order potentials: New developments and applications by Nguyen-Manh, D, Pettifor, D, Cockayne, D, Mrovec, M, Znam, S, Vitek, V

“…We illustrate the power of this new formalism by showing that it not only captures the transferability of bond integrals between Mo, Si and MoSi2 but also predicts the large discontinuities between first and second nearest neighbours for ppsigma, pppi and ddpi even though absence of any discontinuity for the ddsigma bond integral. …”

Asymmetric beams in cosmic microwave background anisotropy experiments by Wu, J, Balbi, A, Borrill, J, Ferreira, P, Hanany, S, Jaffe, A, Lee, A, Oh, S, Rabii, B, Richards, P, Smoot, G, Stompor, R, Winant, C

“…We propose a new formalism to handle asymmetric beams in the data analysis of cosmic microwave background anisotropy experiments. …”

A New View of Binary Trees by Gibbons, J

“…We present a new formalism of labelled binary trees, using two partial binary constructors instead of the usual total ternary constructor. …”

Higher semantics of quantum protocols by Vicary, J

“…Quantum teleportation in its most general sense is reformulated as the ability to remove correlations between a quantum system and its environment, and is represented by an elegant graphical identity. We use this new formalism to describe two new families of quantum protocols. …”

Higher-Dimensional Timed and Hybrid Automata by Fahrenberg, Uli

“…We introduce a new formalism of higher-dimensional timed automata, based on Pratt and van Glabbeek’s higher-dimensional automata and Alur and Dill’s timed automata. …”
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Quantum Probabilities for the Causal Ordering of Events by Charis Anastopoulos, Maria-Electra Plakitsi

“…We develop a new formalism for constructing probabilities associated with the causal ordering of events in quantum theory, where an event is defined as the emergence of a measurement record on a detector. …”
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Reliable Communication Over Unreliable Channels by Afek, Yehuda, Attiya, Hagit, Fekete, Alan, Fischer, Michael, Lynch, Nancy A., Mansour, Yishay, Wang, Da-Wei, Zuck, Lenore

“…This paper investigates the possibility of implementing a reliable message layer on top of an underlying layer that can lose packets and deliver them out of order, with the additional restriction that the implementation uses only a fixed finite number of different packets. A new formalism is presented to specify communication layers and their properties, the notion of their implementation by I/O automata, and the properties of such implementations. …”
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Improved limits on dark matter annihilation in the Sun with the 79-string IceCube detector and implications for supersymmetry by Aartsen, M, Abraham, K, Ackermann, M, Sarkar, S, al., E

“…We derive limits on spin-dependent dark matter-proton scattering by employing the new formalism in a re-analysis of data from the 79-string IceCube search for dark matter annihilation in the Sun, including explicit energy information for each event. …”

Asymmetric Beams in Cosmic Microwave Background Anisotropy Experiments by Wu, J, Balbi, A, Borrill, J, Ferreira, P, Hanany, S, Jaffe, A, Lee, A, Oh, S, Rabii, B, Richards, P, Smoot, G, Stompor, R, Winant, C

“…We propose a new formalism to handle asymmetric beams in the data analysis of cosmic microwave background anisotropy experiments. …”

Diffusion through permeable interfaces: Fundamental equations and their application to first-passage and local time statistics by Toby Kay, Luca Giuggioli

“…Among them a surprising phenomenon, in the case of a semibounded domain, is the appearance of a regime of dependence and independence on the location of the permeable barrier in the mean first-passage time. The new formalism is completely general: it allows to study the dynamics in the presence of multiple permeable barriers as well as reactive heterogeneities in bounded or unbounded domains and under the influence of external forces.…”
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Computing growth rates of random matrix products via generating functions by Naranmandula Bao, Junbiao Lu, Ruobing Cai, Yueheng Lan

“…In the current paper, we reformulate this problem with a generating function approach, based on which two analytic methods are proposed to compute the growth rate. The new formalism is demonstrated in a series of examples including an Ising model subject to on-site random magnetic fields, which seems very efficient and easy to implement. …”
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An Energy Approach Applied to Define Elasto-Plastic Constitutive Models Describing Thermomechanical Metallic Materials Behavior During Forming Processes by Gavrus Adinel

“…A new formalism for the definition of metallic materials constitutive laws expressing the stress as a function of the plastic deformation energy it is proposed. …”
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Unifying semiclassics and quantum perturbation theory at nonlinear order by Daniel Kaplan, Tobias Holder, Binghai Yan

“…We demonstrate the power of the new formalism by deriving a quantum contribution to the nonlinear conductivity which is of order $\tau^{-1}$ in the relaxation time $\tau$, which is principally inaccessible within the Boltzmann approach. …”
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Quantum barrier penetration studies with oriented nuclei: Proton and neutron emission from exotic isotopes by Stone, N, Rikovska, J, Punan, S, Woehr, A

“…The study of barrier effects involving angular momentum and non-spherical deformation can be approached more directly via single-particle emission than via alpha decay, which suffers from complications relating to preformation of the alpha particle. Using the new formalism, predictions are presented for angular distributions of beta-delayed neutrons from oriented I-137 and of direct proton emission from oriented Tm-147.…”

Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models by Guy Cohen, Eli Y Wilner, Eran Rabani

“…We show that the equation of motion for the reduced observable of interest can be closed with the equation of motion for the reduced density matrix and demonstrate the new formalism for a generic resonant level model.…”
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Criticality of thermodynamic curvatures for D-> 4 consistent Einstein-Gauss-Bonnet black holes by Seyed Ali Hosseini Mansoori, Morteza Rafiee

“…Then, we study its thermodynamic properties near the critical point by employing new formalism of thermodynamic geometry (NTG). More precisely, critical exponents of the number density difference $\Delta n$, the isothermal compressibility ${{\kappa }_{T}}{{P}_{c}}$, the normalized intrinsic and the normalized extrinsic ${{K}_{N}}$ curvatures are calculated near the critical point for the small/large black holes phase. …”
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Nonlinear (chiral) p-form electrodynamics by Zhirayr Avetisyan, Oleg Evnin, Karapet Mkrtchyan

“…Here, we give an expanded and more detailed account of this new formalism, and then proceed to push it significantly further by building the corresponding Lagrangian theories of higher form field interactions in arbitrary dimensions. …”
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