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**A**: DDPM with 1000 sampling steps produces lower SSIM (0.23±0.050.23\pm 0.05), highlighting its inefficiency in complex terrain scenarios. Heun performs slightly better than DDPM in MAE and MSE but remains inferior to DPM++ in all metrics, suggesting that higher-order deterministic solvers are particularly advantage...
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**A**: A learning rate scheduler with exponential decay and 4000 linear warm up steps is applied to both learning rates**B**: The model is optimized using the AdamW optimizer with learning rates of 3×10−33\times 10^{-3} and and a weight decay of 10−310^{-3} for both the autoencoder and the MLP predictor**C**: Training ...
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**A**: Recent advances in Artificial Intelligence (AI) have introduced data-driven methods that offer a promising alternative to traditional numerical approaches. In particular, deep learning models have demonstrated remarkable success in atmospheric weather forecasting, achieving accuracy comparable to, or even surpa...
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**A**: Having accounted for the two most prominent sites 1 and 2, two more defect configurations remain to be identified**B**: For brevity, we leave this analysis for a future publication. **C**: The scaling of site 3 and site 4 contribution with doping concentration (Table 1) again indicates defects involving multiple...
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**A**: Through high-resolution microfluidic experiments performed under well-defined boundary conditions, we present the first long-term investigation of Ostwald ripening dynamics within heterogeneous porous media**B**: Ostwald ripening plays a critical role in governing the long-term fate of residually trapped gas in...
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**A**: Section II gives the electronic structure of HNC3 and HNC−3{}_{3}^{-}, and Section III sketches the employed theoretical approach to compute the DEA cross section and rate coefficient**B**: This article is organized as follows**C**: Section IV discusses the obtained results. Section V concludes this study.
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**A**: The CH–NS framework has been employed to study a wide range of canonical multiphase flow problems. Shen and Yang Shen and Yang (2010) examined the dynamics of single rising bubbles in heavier media under both constant- and variable-density formulations, while Shen et al. Shin et al**B**: (2020) investigated bub...
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**A**: The master problem, which contains the binary facilities opening variables, is formulated as a QUBO. The subproblem, handling customer assignments and capacity constraints, is formulated as a Linear Program (LP). For this experiment, both the master QUBO and the LP subproblems are solved using Gurobi to provide ...
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**A**: The partition function ZZ encodes all the thermodynamic information**B**: The trace is over the State space of paraparticles**C**: In the case of free paraparticles, the Hamiltonian has been diagonalised into modes, and each mode contributes independently to the partition function ZZ.
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**A**: One simple example useful to understand the problems is that most functions graphically represent the domain where certain conditions are satisfied, but it is not possible to see if there are subdomains inside these regions where these conditions are not satisfied. Apart from this somewhat trivial observation, s...
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**A**: We have illustrated the parameter space diagram in Fig. 1, where the blue curve corresponds to the extremal black hole solution. The shaded region beneath this curve represents the parameter space for black holes possessing both the Cauchy horizon and the event horizon (denoted as the BH region in Fig. 1). Above...
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**A**: To obtain the spectral energy distributions (SED) and intensity of the interstellar radiation field (ISRF) associated with FIREbox galaxies in post-processing, we make use of the 3D Monte Carlo dust radiative transfer code skirt 444https://github.com/SKIRT/SKIRT9 (version 9; Camps & Baes, 2020), that includes a ...
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**A**: However, finding locality-preserving codes with larger distances either requires an expensive computational search  [21, 23] or is limited to 1D or 2D systems  [20, 21, 23, 24]. Since many interesting physical problems in the real world involve simulating fermions in 3D, such as quantum chemistry [3], condensed ...
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**A**: We modify the Suess et al. (2022b) post-starburst star formation history, adding one final bin that covers exactly the most recent 10 Myr of star formation**B**: We do so because the two-screen Charlot & Fall (2000) dust model assumed in fsps by default allows young (t<10t<10 Myr) stars to see an additional “bir...
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**A**: The authors gratefully acknowledge the computational and data resources provided by the Leibniz Supercomputing Centre (www.lrz.de)**B**: This project was supported in part by grant 200021_192243 from the Swiss National Science Foundation. ASGR acknowledges funding by the Australian Research Council (ARC) Future ...
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**A**: The fit incorporates ten RV datasets and five TESS sectors, which are described in Tables 2 and 3, respectively. We remove all in-transit RVs affected by the Rossiter-McLaughlin effect, but retain the out-of transit baseline-establishing observations for these datasets, which notably allows us to incorporate th...
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**A**: Maeder, 1987; S.-C. Yoon et al., 2006)**B**: The CHE channel consists of massive, rapidly rotating stars in tight, initially tidally-locked binaries that can avoid the post-main-sequence expansion expected from classical stellar evolution due to efficient chemical mixing (B. Paczynski, 1976; A**C**: Rotation and...
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**A**: As can be seen from Fig. 3a, the difference between odd and even NN states is subtle, with the spectra changing very gradually with NN**B**: The notable difference between the odd and even cases is that in the odd-number state, there are two distinct unpaired modes with occupancies very close to 0 and 11.**C**: ...
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**A**: Our analysis encompasses over 10,000 presentations across multiple conference cycles. The paper is organized as follows: Section 2 describes the data collection and analytical approaches**B**: Section 3 presents the results, including the geographical distribution of contributions, research topic trends, and rep...
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**A**: If none are violated then this means at least two of the three particles, v,w,zv,w,z, must be tiled with the same number**B**: This is because htileh_{\text{tile}} enforces that same-colored neighbors of uu are tiled with a different number than uu and there are only two such numbers**C**: Without loss of gener...
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**A**: (2018), parameterize the derivative of a system with a neural network and integrate it using numerical ODE solvers, enabling adaptive time-stepping and memory-efficient training via adjoint methods. Neural PDE solvers extend this idea to spatially extended systems, often combining neural operators or physics-inf...
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**A**: We proceed as long as the graph contains a non-edge**B**: To apply this construction, we repeatedly find pairs v1,v2v_{1},v_{2} that are not adjacent and build the corresponding double-star subgraph and eliminate its edges from the remaining graph**C**: The process terminates when the residual graph becomes a cl...
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**A**: (2016). In the discrete case, the work Dranov et al. (1998) also claims a high-order discrete adiabatic theorem, which has the error scaling 𝒪​(1/Tk)\mathcal{O}(1/T^{k}) for any positive integer kk.**B**: Then, in the continuous case, the diabatic error can be suppressed by the high-order adiabatic theorems to ...
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**A**: In conclusion, we have demonstrated the effectiveness of a filling technique that leverages laser-actuated break-seal gas reservoirs to microfabricate cells with a tunable He-Ne buffer gas mixture**B**: The helium-to-neon pressure ratio in the cell’s science cavity can be precisely adjusted by tailoring the rela...
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**A**: It also fails to capture the complexity of the polymerization process, which is influenced by temperature, humidity, and is time-dependent. For larger structures, the time dependency has only a minor effect because the polymerization process terminates before the laser has swept back to print the next layer, but...
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**A**: It frames a condition of profound physical importance as a mere matter of mathematical convenience**B**: While this mathematical elegance is powerful, the presentation can be pedagogically unsatisfying**C**: This type of pedagogical simplification has long been a subject of critical discussion in the physics edu...
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**A**: The base point (black dot) is located along the outer divertor leg of the magnetic separatrix (gray)**B**: Figure 2: Model of the outer divertor target used for heat load optimization**C**: The actual divertor geometry (black dashed line) is shown for reference. The (artificial) boundary for potential configura...
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**A**: On longer timescales, sampling on the scale of weeks is crucial for tracking the brightness evolution of supernovae. The final distribution of visit frequencies for a given field is illustrated in Fig. 4.**B**: This approach benefits not only the detection of transient events but also minor bodies in the Solar ...
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**A**: We refer the reader to these works for a rigorous description**B**: Here, we briefly discuss the provenance of the datasets. **C**: Certain test sets include gravitational lenses from the Kilo Degree Survey (KiDS) and Survey of Gravitationally-lensed Objects in HSC Imaging (SuGOHI)333https://www-utap.phys.s.u-to...
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**A**: The streak maintenance mechanism is similar to that in wall-bounded shear flow turbulence in which lift-up balances transfer of energy from the streak by the resolved perturbation Reynolds stresses, which are maintaining the perturbation TKE by extracting energy from the streak, and viscous dissipation**B**: Mai...
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**A**: We begin by describing in Theorem 5.2 the resonances of AA (that is, zeros of the Jost function defined as the determinant of a (d×d)(d\times d)-matrix) in terms of the eigenvalues of infinite dimensional trace class Birman-Schwinger-type operators or, equivalently, zeros of the respective infinite dimensional F...
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**A**: In stochastic thermodynamics, heat exchange between a Brownian particle and its thermal environment is always present, whereas work is not necessarily involved [20]. Work is the ordered energy exchange between a system and an external agent in a controlled or directed manner**B**: Therefore, for work to be perfo...
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**A**: The filter wheel placed between the O3 system of relay lenses and the detector is used to select spectral and polarimetric channels, see Table 2. The filter wheel has six slots (Fig. 11). The main spectral channel is the wideband channel (around 300 Å wide) centered around 5510 Å  that is dominated by the emissi...
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**A**: This trajectory is obtained through modeling the cocoon of a γ\gamma-ray burst, which has been suggested to be a site of the rr-process due to photo-hadronic interactions in the jet head (M. R**B**: Our choice of this trajectory as opposed to many others from more conventional rr-process sites which can also pr...
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**A**: The DAT algorithm has few parameters that need to be optimized to optimally detect gravitational-wave signals in LVK data**B**: In the following, we provide indications about the range of values of the parameters that optimize the algorithm performance for a wide variety of gravitational-wave signal morphologies...
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**A**: The result is then applied to the actuators of the deformable mirror. We run the loop for 50 iterations and measure the Strehl ratio of the resulting PSF.**B**: We select these aberrations such that they are small enough to be within the linear regime of all the segments. We then record the corresponding PL inte...
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**A**: To ensure the stability of the model, it is essential to examine the validity of the standard energy conditions**B**: 6 that the NEC and the SEC are violated in the vicinity of the bounce epoch, while the DEC remains satisfied throughout the entire cosmic evolution. Furthermore, away from the bounce epoch, the ...
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**A**: Various other damage functions have been proposed in the literature [65, 70, 98, 99]**B**: Compared to the damage function employed in our previous work [38], the current sigmoid formulation offers two key advantages**C**: First, it is simpler, involving only a single parameter cc rather than the two parameters...
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**A**: ARM, also known as rejection sampling, is a powerful Monte Carlo method employed to sample from a complex or unknown distribution (the target distribution) by utilizing a simpler distribution444Moreover, it works for any distribution in ℛm\mathcal{R}^{m} with a density. (the proposal distribution) from which sam...
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**A**: A combination of density functional theory (DFT) calculations and high-resolution scanning transmission electron microscopy (HRSTEM) was employed by Zasada et al. to study the morphology of cobalt spinel nanostructuresZasada et al**B**: Utilizing these surface energies, they performed a Wulff construction to pre...
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**A**: Again, this is remarkable agreement with our simulation results given the differences and assumptions pertaining to the model.**B**: These values are in excellent agreement with experimentally-measured values. Alfonso et al. [90] found a value of n=1.1n=1.1 in their study of recrystallization kinetics of warm-ro...
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**A**: Rubin Observatory with the expectation that the main survey will begin at the end of 2025 [46]. ESA’s space telescope Euclid launched in 2023 and recently released early data [47]. First cosmology results from Rubin and Euclid (e.g., gravitational lensing, galaxy cluster counts, supernovae) may come as soon as 2...
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**A**: The characteristic spin components can modify the rigid rotation of both material lines and surfaces. The line element aligned with 𝒆3\bm{e}_{3} exhibits no rigid rotation, while the rigid rotation mode of 𝒆3\bm{e}_{3}-oriented surface element is exclusively determined by the two characteristic spin components...
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**A**: In this method, off-equilibrium corrections to spin-dependent distribution functions are obtained by solving the spin hydrodynamic equations, which govern the evolution of the moments of these spin-dependent distributions**B**: Consequently, the off-equilibrium modifications to the modified Cooper-Frye formula a...
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**A**: It should be noted that our polarization results at lowest multiplicities are unreliable due to the limitations of hydrodynamic applicability**B**: Therefore, we provide more detailed discussions on the beam-direction spin polarization as functions of azimuthal angle and rapidity for high-multiplicity p+Pb event...
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**A**: Section 3 provides a list of solvable cases using the developed method, along with the polynomial solutions of the Heun equations. Finally, we conclude with remarks on the results obtained in Section 4.**B**: The organization of this paper is as follows**C**: In Section 2, we present the effective Hamiltonian t...
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**A**: Solar jets are prevalent throughout the solar atmosphere and are frequently observed in association with magnetic flux emergence and cancellation activities. Theoretical models propose that the two-sieded loop jet can resulted from the emerging magnetic flux reconnects with the overlying horizontal coronal magn...
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**A**: DFT calculations in La(Rh,Ir)Si reveal spin-polarized helicoid Fermi arcs spanning their entire**B**: This leads to a unique bulk-boundary correspondence, where the topological surface states form a continuous connection between the Γ\Gamma and RR points (or surface-projected M¯\bar{M} point)**C**: Moreover, sin...
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**A**: Generally speaking, the effect of tensor self-interaction is much smaller than the GWs induced by field perturbations**B**: Therefore, in the problem of tensor one-loop corrections, only the linear-order action ShS_{h} in SGRS_{\text{GR}} is important for us**C**: where the SGRS_{\rm GR} represents the Einstein...
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**A**: The pseudo-mode method [34, 35, 36, 37, 38, 39], the stochastic Schrödinger equation [40, 41, 42, 43], the hierarchical equations of motion [44, 45], and the hierarchy of pure states [46, 47] are applicable when the environment is Gaussian and has certain spectral characteristics. Path-integral influence functio...
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**A**: Nine \ce[H2O]20 ASW clusters (ASW 1–9), serve as adsorbents (see appendix of Sil et al., 2024, available on Zenodo). These were derived from crystalline ice made using the TIP3P model, heated to 300 K using MD simulations, and then rapidly cooled to 10 K (Shimonishi and Nakatani et al., 2018)**B**: In this wor...
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**A**: Notably, square cross sections exhibit transformation induced energy level splitting, in contrast to circular ones, which remain invariant under such mode-mixing effects. Through a concrete example involving simultaneous rotation and squeezing, we further demonstrated how geometric transformations can lead to ch...
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**A**: This unconventional electrostatic doping mechanism enables the formation of an exciton confinement potential, giving rise to a localized exciton channel that can be directly visualized via CL microscopy. Our findings elucidate the optoelectronic response of monolayer semiconductors under the combined influence o...
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**A**: We acknowledge funding from the Knut and Alice Wallenberg foundation (Grant No. 2019.0140; J. F**B**: and P. E.) and the Swedish Research Council (No. 2020-04935; J. F**C**: and P. E.). The computations were enabled by resources provided by the National Academic Infrastructure for Supercomputing in Sweden (NAISS...
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**A**: In Sections 3 and 7, we will present examples that illustrate the novelty of our results**B**: In Section 5 we will introduce a form of entropy for eigenstates associated with a certain family of normalized potentials, the so-called trace-type potentials (see Definitions 38, 42 and Theorem 43). In Section 6, at ...
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**A**: Solid green lines correspond to the Reissner-Nordström black hole, the corresponding dependence for the Einstein-Born-Infeld black hole is plotted in red.**B**: The left panel shows the dependence of temperature on the normalized charge**C**: Figure 2 shows the dependence of temperature and heat capacity on the...
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**A**: We acknowledge the Indian Institute of Technology Bombay for the licensed version of Grammarly**B**: The software was used for the English Grammar check of the manuscript**C**: VK was supported by funding from the MHRD and the Science and Engineering Research Board, Government of India (Grant no. SR/S2/JCB-31/20...
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**A**: In the RAR regime, nearly perfect Andreev conversion at transparent contacts suppresses noise [37], whereas in the SAR regime, angular dependence of the interband matching constraints modulate Andreev probability and enhance fluctuations, often yielding oscillatory gate- and bias-dependent features due to the pr...
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**A**: We employ a geometric-based 3D initial condition developed in Refs. Shen:2017fnn ; Shen:2020jwv ; Ryu:2021lnx ; Alzhrani:2022dpi connecting with a hydrodynamics + hadronic transport model**B**: This initial-state model maps the local energy and longitudinal momentum from the colliding nucleons to hydrodynamic ...
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**A**: Figure 2: (a)Comparison of HB-2A diffraction data (red) with the fitting (black) at 5 K; the blue line corresponds to the difference between the data and the fitting**B**: The inset is the A-type spin structure of the NiTiO3. (b) Temperature dependence of the lattice constants aa and cc obtained from the VISION...
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**A**: A sharp peak in the resulting curve corresponds to a uniform skyrmion lattice aligned to a certain direction.**B**: By fitting a second-order polynomial to the left and to the right of the k-value corresponding to the skyrmion lattice, a good approximation for the amount of anisotropic noise under the pertinent ...
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**A**: In this article, we investigate nuclear wave packet dynamics near CIs under non-Markovian quantum dissipation by an numerically exact modeling of dissipative conical intersection dynamics method**B**: Theoretically, we employ Feynman path integrals and influence functional theory [34] to dissect the impact of di...
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**A**: The magnetic ground states for LaCrMnNiO6 (LCrMNO) and LaMnA′{}_{A^{\prime}}MnBNiO6 (LMMNO) are found to be ferromagnetic. While LaVMnNiO6 (LVMNO), LaCoMnNiO6 (LCoMNO), and LaNiAMnNi′B{}_{B}{{}^{\prime}}O6 (LNMNO) show complex ferrimagnetic orderings. In the case of LVMNO and LNMNO the magnetic ground state is f...
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**A**: [45]. **B**: For case 4, the spectrum is in the absolutely stable region (i.e., class 0), it maintains a stable motion, and the desired formation can always be obtained, for all values of τ\tau, as shown in Fig. 7(d)**C**: The converge of the trajectory has a square-wave pattern, often observed in DDEs with the ...
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**A**: Recent investigations [33, 34, 35, 36, 37, 38, 39, 40, 41, 42] have focused on the impact of non-zero curvature, highlighting its significance. In this context, it becomes particularly relevant to explore new avenues within curved FLRW geometry. In addition, recently, curved inflationary models have been explore...
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**A**: Wind mission observations from the Three-Dimensional Plasma and Energetic Particle Investigation (Lin et al., 1995) and Magnetic Field Instrument(3-sec) (Lepping et al., 1995) are used for plasma moments, particle omnidirectional flux, suprathermal electron pitch angle distributions (PAD), and magnetic fields, r...
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**A**: These walls can be characterised by their winding numbers w=±12w=\pm\tfrac{1}{2}, which quantify the topological rotation of the magnetisation vector in the plane. The total winding number along the 1D cross-section is given by: **B**: From simulation data, we observe four distinct DWs along this cross-section, ...
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**A**: The ability of inertial lift forces to differentially order suspended particles continuously flowing at a high rate through micro-channels, in the absence of external fields, is expected to have a broad range of applications in bioparticle separation, high-throughput cytometry, and large-scale filtration systems...
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**A**: The lower rectangular panel shows the two-dimensional spectrogram at the native 0.066″/pixel scale, and the upper right displays the extracted one-dimensional spectrum. The flux scale is unreliable near the blue/red ends of each filter, shown by the full vertical grey rectangles.**B**: Figure 10: Example of an ...
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**A**: We build on the work in [25, 26, 27], in which it was observed that a symmetric superposition of the eigenstates of the Liouvilian evolving under "dissipative one-axis twisting" will settle (or freeze) in an entangled-state cycle. These entangled-state cycles consisted of pairs of Kitten states (Cat state with ...
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**A**: In this paper, we provide an explicit example of a 33-dimensional Riemannian metric with a spiraling conformal geodesic**B**: In this way, the original conjecture is resolved. **C**: Although the example is not real-analytic, it can be modified slightly to yield a real-analytic metric with the same property (pri...
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**A**: This reduces the energy of the system. Conversely, an unsympathetic alignment recovers the previous mechanism, which tends to give the minimally destabilising rather than an actively stabilising effect**B**: We note that within our ultrathin layers, there is only one layer of magnetic ions within the ferromagnet...
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**A**: This work is supported by an Internal Graduate Studentship of Trinity College, Cambridge, AFOSR grant FA9550-19-1-0260 “Tensor Networks and Holographic Spacetime” and grant NSF PHY-2309135 to the Kavli Institute for Theoretical Physics (KITP).**B**: I am grateful to Raphael Bousso, Alejandra Castro, Prateksh Dh...
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**A**: To this end, we present Fig**B**: 5, which shows the comparison between (a) the classic approach and (b) the quantum-based approach.**C**: Projecting the test set on the learned latent space is one interesting way of examining what representations are being learned
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**A**: High-similarity candidates replace lower-ranking molecules in the pool, which evolves iteratively until convergence or the maximum iteration count is reached. **B**: This two-tiered NMR estimation—fast inherited prediction for screening and precise forward prediction for validation—enables both scalability and h...
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**A**: Despite its architectural simplicity, Stormer achieves state-of-the-art accuracy on medium-range forecasting, while requiring significantly less computational cost compared to other leading methods. Its strong performance and efficiency make it an appealing baseline for regional applications.**B**: Stormer Stor...
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**A**: Although the MFT-based and DMRG-based electronic friction-Langevin dynamics (EF-LD) of average kinetic energy agree well with each other, the inaccuracies in MFT-based electronic friction and mean force arise in the dynamics of electronic population: MFT-based EF-LD deviates substantially from the more reliable ...
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**A**: As discussed in §3.3.2, this is a fairly generic situation in supersymmetric theories given that a gravitationally coupled sector couples to everything – and so in particular to supersymmetry breaking – more weakly than other sectors [40], and is realized in extra-dimensional scenarios when a supersymmetry break...
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**A**: In this work, we investigate in detail the impact of interactions on the superradiance of a parametrically driven dissipative Tavis-Cummings model**B**: The parametric drive introduces quadratic terms in the cavity field, breaking the U​(1)U(1) symmetry of the standard Tavis-Cummings model and leading to the sup...
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**A**: Meanwhile, the branches denote progressively classified subsets. A node that can not be further split is taken as a pure node and termed as leafnode. The criteria often used to determine the splitting conditions include metrics such as entropy and information gain**B**: Decision trees are versatile supervised l...
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**A**: We extend our QRL framework by distributing computation across multiple quantum processors through a multi-chip ensemble approach (Fig**B**: 1)**C**: This architecture addresses the fundamental scalability limitations of single-chip quantum circuits when processing high-dimensional game environments.
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**A**: (2018) developed an anisotropic self-gravitational object with objects maintaining spherical geometry. They calculated some exact analytical models to understand the local-anisotropic pressure role by applying the Orlyanskii and Korkina metric potential. Kanti et al. Kanti et al. (2015) asserted that higher curv...
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**A**: The rest of this paper is organized as follows: In Section 2, we introduce the preliminary knowledge related to the HF method, followed by the approximate Fock exchange operator and the two–level nested SCF iteration**B**: Section 3 presents some numerical experiments to demonstrate the efficiency of the propose...
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**A**: Moreover, we have checked that the other defects have not only a higher formation energy but also a higher activation energy (EaE_{a}) of O2 chemisorption than the O vacancy**B**: Taking the Ge-O pair defect as an example, Fig**C**: S5 shows that its EaE_{a} for the O2 chemisorption is 1.626 eV, much higher than...
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**A**: Although this motion is only apparent, its frequency can be precisely determined based on the assumed ℛ\mathcal{R}**B**: It has been shown that the circular motion of the spiral arms results from the specific spatio-temporal distribution of the vortices**C**: Moreover, by a proper choice of ℛ\mathcal{R} one can ...
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**A**: We evaluated the thermodynamic stability of the ternary SrMO3 and quaternary Sr0.5Ce0.5MO3 perovskites by constructing the 0 K convex hull based on DFT-calculated total energies**B**: Figure S1 shows the ternary convex hulls for the Sr-M-O systems, while Figure S2 shows relevant ternary projections of the quater...
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**A**: Training was performed by feeding the network with mini-batches of 32 instances over 10 epochs with early stopping based on validation loss, in order to prevent overfitting. After 5 epochs, with a validation accuracy of 99%**B**: When evaluated the performances on the test dataset, the trained network achieved a...
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**A**: For a good characterization of the chemical components, the process or pulse technique must be able to detect small changes in those elements. We show that the spin-locking fulfills the criteria. Previous works are concentrated on the measurement of T1​ρT_{1\rho} Almeida et al**B**: (2021, 2023b); Saha and Bhatt...
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**A**: Some previous studies [21, 47] have found that the fidelity of quantum teleportation decreases as the effects of black holes and environmental influences increase. However, we find that even in the presence of system-environment coupling, the dilaton effect of black hole exerts both negative and positive influen...
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**A**: Recent studies were focused on a ML-MoSe2/CrSBr, a type-III vdWH, and have revealed important modifications in their physical properties, which were associated with magnetic proximity and charge transfer effects 21, 32. **B**: Very interesting material design opportunities appear when 2D magnetic materials can a...
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**A**: For the one-dimensional models, these subintervals are away from the critical energies, see [7] for the dimer model, and [8] for the polymer models. For the two-dimensional random Landau operators, these subintervals are away from the Landau levels near the band edges. To our knowledge, the random δ\delta-intera...
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**A**: In particular, we observe that each iteration of QLE can be interpreted as an independent oracle query problem, where the current weight vector defines the prior distribution over Hamiltonians. This interpretation enables the direct application of mutual information maximization under a single-query constraint.*...
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**A**: The second requirement for integrability is that multi-particle scattering be consistent, i.e., that the two-body scattering matrices satisfy the Yang–Baxter relation**B**: In our model, the scattering matrix takes a new algebraic form, reflecting the combined structure of 𝐁\mathbf{B} and 𝐁′\mathbf{B}^{\prime...
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**A**: These codes extend surface codes, as their stabilizers are translationally invariant and can be interpreted as multiple copies of the toric code Liang et al. . In this section, we provide a brief introduction to BB codes. **B**: BB codes have recently attracted substantial interest due to their low overhead and ...
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**A**: The curves represent the quantum neural network (red) and classical neural networks with activation functions: Tanh (blue), Sigmoid (green), and ReLU (magenta), each curve was generated with 200200 points**B**: Figure 3: Best results obtained after training the algorithms applied to the (a) sine and (b) Heavisi...
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**A**: Here, we neglect the flattening of the resonances caused by quantum Hall plateaus.**B**: In Fig. 4(a), we focus on the small kinetic inductance case**C**: Here, we recover the expected ωR∝σ0∝1/B\omega_{R}\propto\sigma_{0}\propto 1/B scaling of the resonance lines [41]
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**A**: Key performance metrics include optimizing work output, efficiency, cooling power, and entropy production Mitchison2019 ; Uzdin2015 ; Ghosh2018 **B**: Recent studies on quantum thermal machines, such as heat engines and refrigerators, focus on cyclic thermodynamic protocols that involve energy exchange with the...
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**A**: 57/14/01/2023/12089)**B**: One of the author, Ritu Dey acknowledges Dr. Ankit Dhaka of the Institute for Plasma Research (IPR) for his assistance in running the parallelized FAC code on ANTYA, the IPR Linux Cluster. The simulation results presented in this study were obtained using ANTYA, the IPR Linux Cluster.*...
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Selection 1
**A**: Dipole-dipole repulsion can be taken into account by addition of the term αd​d​n​(x)\alpha_{dd}\,n(x) where αd​d\alpha_{dd} is the strength of dipole-dipole repulsion and n​(x)n(x) is the ILE density in the system [28, 6, 5]**B**: Here kk quantifies the relation between the magnitude of strain and the band gap r...
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**A**: The threshold-based method showed a slight increase in accuracy, rising from 78.9% to 79.3%**B**: The performance of KNN is visualized in the bottom panel of Fig. 4, which partially explains the classification errors**C**: As with the Mandelbrot set, errors predominantly occur near the boundary, but the errors a...
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