robench-2024b
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48 items • Updated
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**A**: Based on Eqs**B**: (58), (61), (62), and the time translational symmetry, the line element on the thin shell ΣΣ\Sigmaroman_Σ is a constant over time, i.e.,**C**:
Since the system has a time translational symmetry, we can extend these results to all other times | CAB | ABC | BCA | BAC | Selection 3 |
**A**:
Table 5: Mass differences in the charmonium spectrum in MeV compared to experimental values (calculated from 0954-3899-37-7A-075021 ; the value for the 1P hyperfine splitting is from Olsen:2012xn )**B**: For the results of this paper, the first error denotes the statistical uncertainty and the second error den... | BCA | ACB | BCA | CAB | Selection 2 |
**A**: Then, in the mean-field limit, a corresponding Gross-Pitaevskii equation is introduced and numerically solved for different initial conditions Raghavan ; Ostrovskaya ; Ananikin . Generalized two-mode models, taking into account additional terms originating from long-range interactions or occupation-dependent tun... | CAB | ABC | ACB | BCA | Selection 4 |
**A**: SUSY has found its way into many applications, including differential geometry [33], the study of coherent states [7, 12] and BCS theory [34]**B**: In SUSY, one assumes that the ground state energy of the quantum mechanical system is zero since ultimately one only measures energy changes, not absolute energy val... | CAB | CBA | CBA | BCA | Selection 4 |
**A**: Then this
is an equilibrium of having maximal entropy hence is unstable in light of**B**: precisely Rinitial=−Gm2/2Esubscript𝑅initial𝐺superscript𝑚22𝐸R_{\rm initial}=-Gm^{2}/2Eitalic_R start_POSTSUBSCRIPT roman_initial end_POSTSUBSCRIPT = - italic_G italic_m start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT / 2 i... | ABC | BAC | CBA | BAC | Selection 3 |
**A**: The uncontracted indices are particularly important in the description of gauge fields inside the bulk and hence will become important for the extension towards double field theory. In a holographic code there are two types of uncontracted indices, namely the bulk indices and the boundary indices**B**: All other... | BAC | ACB | ACB | BCA | Selection 4 |
**A**: both cases can occur**B**: This is obvious for flat manifolds admitting a**C**: τ(Rg)≠0𝜏subscript𝑅𝑔0\tau(R_{g})\not=0italic_τ ( italic_R start_POSTSUBSCRIPT italic_g end_POSTSUBSCRIPT ) ≠ 0 or τ(Rg)=0𝜏subscript𝑅𝑔0\tau(R_{g})=0italic_τ ( italic_R start_POSTSUBSCRIPT italic_g end_POSTSUBSCRIPT ) = 0
i.e | BCA | CBA | CBA | ACB | Selection 1 |
**A**: As discussed in the introduction of Section IV, here we do not have analogues of ‘in and an out’ states. The main variable for the transition are the angles at the sphere ΔΔ\Deltaroman_Δ which belong neither to the ‘past’ nor to the ‘future’ of the transition**B**: Also, it is not clear what would serve here as ... | CAB | ABC | CAB | BCA | Selection 4 |
**A**: If the exponent in (61)**B**: Unfortunately, that
is not the case here**C**: Kd/4(12|Mi|ΩiB2)subscript𝐾d412subscript𝑀isubscriptΩisuperscript𝐵2K_{\rm d/4}(\tfrac{1}{2}|M_{\rm i}|\Omega_{\rm i}B^{2})italic_K start_POSTSUBSCRIPT roman_d / 4 end_POSTSUBSCRIPT ( divide start_ARG 1 end_ARG start_ARG 2 end_ARG |... | BCA | ACB | BAC | CBA | Selection 4 |
**A**:
in the proof of Proposition 2.3 of [Be], can not easily be generalized to the twisted case**B**: To prove an analogous result, we need to assume that ΓΓ\Gammaroman_Γ stabilizes a Borel subalgebra of 𝔤𝔤\mathfrak{g}fraktur_g, and use Lemma 2.5 crucially**C**: It will be interesting to see if this assumption can... | BCA | CAB | ABC | BCA | Selection 3 |
**A**: By dimensional analysis, this is always possible, as there are at most two propagators expanded beyond leading order that contribute to the m∞4superscriptsubscript𝑚4m_{\infty}^{4}italic_m start_POSTSUBSCRIPT ∞ end_POSTSUBSCRIPT start_POSTSUPERSCRIPT 4 end_POSTSUPERSCRIPT-term**B**: This choice of momenta simpli... | ACB | BCA | ACB | ACB | Selection 2 |
**A**: In fact, in Ref.Mitra (1993), the author constructed a fundamental field theory of semions only, as certain generalized Grassman number valued field theory**B**: If anyons may be the excitation modes of a fundamental field, the field cannot be real, complex, or even Grassmann number valued**C**: Unfortunately, m... | BAC | ABC | BCA | CAB | Selection 1 |
**A**: But by Alaoglu’s theorem (e.g**B**: [24, p. 484]) the unit**C**: \mu_{0}}\frac{V_{0}}{V_{1}}\Big{)}\frac{\mu_{1}}{V_{1}}divide start_ARG italic_μ start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT end_ARG start_ARG italic_V start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT end_ARG ↦ - ∫ start_POSTSUBSCRIPT italic_M end_POSTSUBSCRIPT... | BCA | ACB | ABC | ACB | Selection 1 |
**A**: the BV operator is compatible with a product and a bracket, both given by counting pairs of pants but with asymptotic markers treated differently.**B**: [1]), i.e**C**:
In characteristic zero, symplectic cohomology SHSH{\operatorname{SH}}roman_SH is known to have the structure of a BV-algebra (see e.g | ABC | CBA | CAB | CAB | Selection 2 |
**A**: However, this method can not be applied in arbitrary high-dimensional mixed states**B**: As we know, a star on a Bloch sphere can represent a pure state, and a set of stars on a Bloch sphere can represent a high-dimensional pure states**C**: Our result is not easy to be generalized to arbitrary high-dimensional ... | BCA | CBA | BAC | CAB | Selection 3 |
**A**: , ψ|Γ=Cevaluated-at𝜓Γ𝐶\psi|_{\Gamma}=Citalic_ψ | start_POSTSUBSCRIPT roman_Γ end_POSTSUBSCRIPT = italic_C (constant)), corresponding to having**B**: italic_e **C**: the boundary condition (∇∥ψ)|Γ=0evaluated-atsubscript∇parallel-to𝜓Γ0\left(\nabla_{\parallel}\psi\right)|_{\Gamma}=0( ∇ start_POSTSUBSCRIPT ∥ end_... | CBA | BAC | CAB | BCA | Selection 1 |
**A**: In [39] the authors applied a version of para-controlled calculus to the stochastic wave equation setting, and obtained almost sure local well-posedness for a quadratic wave equation with additive white noise on 𝕋3superscript𝕋3\mathbb{T}^{3}blackboard_T start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT**B**:
Finall... | BAC | CBA | CBA | ACB | Selection 1 |
**A**: The choices of branch and labeling will depend on the value of m∈ℂ∗𝑚superscriptℂm\in\mathbb{C}^{*}italic_m ∈ blackboard_C start_POSTSUPERSCRIPT ∗ end_POSTSUPERSCRIPT in the following way:**B**:
For the definition of Stokes data, we need to fix a branch of the Log and a labeling of the sectors determined by ant... | BCA | BCA | CAB | BAC | Selection 3 |
**A**:
The authors thank the Parker Solar Probe team, especially the FIELDS and SWEAP teams for their support**B**: The FIELDS experiment on the Parker Solar Probe spacecraft was designed and developed under NASA contract NNN06AA01C**C**: The authors wish to acknowledge helpful conversations with Dr. Ivan Vasko. | ACB | CAB | ABC | BAC | Selection 3 |
**A**: square roots**B**: As a result the expression under square**C**: Indeed, we have bS=−5subscript𝑏𝑆5b_{S}=-5italic_b start_POSTSUBSCRIPT italic_S end_POSTSUBSCRIPT = - 5, bI=4subscript𝑏𝐼4b_{I}=4italic_b start_POSTSUBSCRIPT italic_I end_POSTSUBSCRIPT = 4 and
D=bS2−bI2=(3)2𝐷superscriptsubscript𝑏𝑆2superscripts... | CBA | CBA | CAB | ACB | Selection 4 |
**A**: The experiments used six gases, ammonia, acetaldehyde, acetone, ethylene, ethanol, and toluene, presented in arbitrary order and at variable concentrations. Chemical interferents were also presented to the sensors between batches, and the time between presentations varied, both of which contributed to further se... | CAB | BAC | ABC | CBA | Selection 4 |
**A**: In Figs. (3) and (4) we have demonstrated a possible way to minimize error and achieve high fidelity quantum gate operations using several bounded control pulses (e.g., π𝜋\piitalic_π, CORPSE, SCORPE, symmetric and asymmetric pulses) acting on a one qubit system in presence of random telegraph noises. Here we ha... | CAB | CBA | BAC | ACB | Selection 4 |
**A**: We have obtained and studied the thermodynamics of black brane solutions in asymptotically Lifshitz spacetimes in κ𝜅\kappaitalic_κ-deformed Horndeski gravity in four dimensions**B**: The main property of these solutions is that they can assume arbitrary values of the critical exponents z𝑧zitalic_z associated w... | ACB | BAC | ABC | BCA | Selection 3 |
**A**: Improving the precision of measurements is another important application of spin squeezing.
For example, spin squeezing plays an important role in Ramsey spectroscopy Wineland et al. (1992, 1994); Cronin et al**B**: (2010), as well as in making high-precision atomic clocks Sørensen and Mølmer (1999); André et al... | ABC | CAB | ABC | ACB | Selection 4 |
**A**: These were introduced in joint work with Sven Meinhardt in [DM20], as part of a project to realise the cohomological Hall algebras defined by Kontsevich and Soibelman [KS11] as positive halves of generalised Yangians**B**: The construction of the BPS Lie algebra for arbitrary symmetric quivers with potential is ... | ACB | CBA | BAC | BCA | Selection 3 |
**A**: (2023) and CMS Hayrapetyan et al. (2024) experiments.**B**: Amongst its many applications, we note three in particular.
First, it facilitates studies of the J/ψJ/ψ𝐽𝜓𝐽𝜓J/\psi J/\psiitalic_J / italic_ψ italic_J / italic_ψ system, where resonance-like structures were reported by the LHCb experiment Aaij et al*... | CAB | CBA | ACB | ABC | Selection 1 |
**A**:
To our knowledge, Temperley-Lieb algebras have not been studied in the representation stability literature, or within the broader context of representation stability and FIFI\operatorname{FI}roman_FI-modules. It appears that much of the work in representation stability has focussed on algebraic objects which ar... | ABC | ACB | BCA | BCA | Selection 2 |
**A**: (2012); Wu et al. (2018); Chen et al. (2017); Karliner et al. (2017); Bai et al. (2019); Wang (2017); Richard et al**B**: Even before the discovery, fully-heavy multiquark states have already been studied
Iwasaki (1975); Chao (1981); Ader et al. (1982); Zouzou et al. (1986); Heller and Tjon (1985); Lloyd and Var... | CBA | ACB | BAC | ABC | Selection 3 |
**A**: The results**B**: For the model presented in
Ref. Farzan:2015doa we have defined By≡B1−yB2−(3−y)B3subscript𝐵𝑦subscript𝐵1𝑦subscript𝐵23𝑦subscript𝐵3B_{y}\equiv B_{1}-yB_{2}-(3-y)B_{3}italic_B start_POSTSUBSCRIPT italic_y end_POSTSUBSCRIPT ≡ italic_B start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT - italic_y itali... | CAB | CBA | CAB | BAC | Selection 2 |
**A**: A guiding principle, on which we will elaborate, asserts that, when many valleys are present, chaos reins: the system is fragile, with small perturbations causing profound changes in the form of the ground state.**B**:
In such systems, the ground state, namely the value x∈X𝑥𝑋x\in Xitalic_x ∈ italic_X that min... | CAB | ACB | ACB | BAC | Selection 1 |
**A**: 1, ae=3ae[loc]a_{e}=3\,a{}_{e}^{[loc]}italic_a start_POSTSUBSCRIPT italic_e end_POSTSUBSCRIPT = 3 italic_a start_FLOATSUBSCRIPT italic_e end_FLOATSUBSCRIPT start_POSTSUPERSCRIPT [ italic_l italic_o italic_c ] end_POSTSUPERSCRIPT
leading to ce=13ce[loc]subscript𝑐𝑒13superscriptsubscript𝑐𝑒delimited-[]𝑙𝑜�... | CBA | BAC | BAC | BAC | Selection 1 |
**A**: For N𝑁Nitalic_N particles in each shot, the SQL, also known as the shot-noise limit, can be surpassed by using quantum effects such as entanglement Bollinger et al. (1996); Monz et al. (2011) and squeezing Muessel et al. (2015), reaching the so-called Heisenberg limit (HL), in which the sensitivity exceeds the ... | BAC | BAC | ACB | BCA | Selection 3 |
**A**: The analytical and the numerical results for the Einstein-de Sitter universe are identical, thus confirming our numerical implementation. Despite the difference in the cosmological background evolution between the left and central panels compared to the right panel, the results are quite similar.
**B**: It is op... | BAC | ACB | BAC | CBA | Selection 4 |
**A**: 1b). The following impossibility of certain clean algorithms is a corollary of Theorem 3.**B**:
In other words, the ancilla output is independent of the unknown oracle**C**: Clean algorithms enable ancillae recycling and preserve coherences if used inside an interferometer (Fig | CBA | CAB | ACB | BCA | Selection 2 |
**A**: Yanbing Zhu: Review and editing (equal); Conceptualization (supporting). Evan J. Read: Conceptualization (lead); Review and editing (equal); Supervision (equal)**B**:
Peter Schindler: Writing – original draft (lead); Review and editing (equal); Software (lead); Methodology (lead); Visualization (lead); Investig... | CBA | ABC | BAC | CAB | Selection 4 |
**A**: blowup profile, such that the Wick-ordered L2superscript𝐿2L^{2}italic_L start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT-cutoff does not exclude this blowup profile for any cutoff size K>0𝐾0K>0italic_K > 0**B**: See, in particular, Lemma 3.4 and the proof of (3.42)**C**: We also mention related works
[33, 13, 53, 1... | BAC | CAB | ABC | ACB | Selection 3 |
**A**: We performed hard X-ray diffraction experiments at the BW5 beamline at HASYLAB, Deutsches Elektronen-Synchrotron, Hamburg, Germany**B**: The sample was cut into a thin slice (d=1.4𝑑1.4d=1.4italic_d = 1.4 mm) in order to reduce the absorption, meaning that 10 % of the incoming beam was transmitted through the sa... | ACB | CAB | CAB | BCA | Selection 1 |
**A**: We strongly emphasize that there is a great deal of room for improvement on the techniques described here**B**: We have not, for example, carefully assessed the most effective method for laying out the grid of data on which we store information about adiabatic backreaction and waveform amplitudes, nor have we th... | ACB | CBA | ABC | BCA | Selection 4 |
**A**: The reason is that although an increase of beam current will enhance the radiation power, the coexisting increase in modulation depth and the fixed dispersion strength result in the over-compressed and a smaller bunching factor, which is not conducive to the radiation power growth. This feedback mechanism makes ... | ACB | CBA | CBA | BAC | Selection 4 |
**A**: This paper is also based in part on work supported by NSF under grant DMS-1440140 while CK was in residence at the Mathematical Sciences Research Institute in Berkeley, California during the Fall 2019. FR was supported by NSERC and a Canada research chair.
**B**: The authors are grateful to Rafe Mazzeo, Richard ... | ABC | BAC | CAB | CBA | Selection 3 |
**A**: So, besides the increase of the derivative of the inversion temperature, the increase of the electric charge Q𝑄Qitalic_Q also implies a small displacement of these curves in the direction of increasing pressure, in accordance with Eq**B**: (32). In this panel, one also sees that for small values of the temperat... | ACB | BAC | ABC | BCA | Selection 4 |
**A**: The above process, as shown in Fig. 1, involves multiple runs, completing the Maxwell Demon-assisted EPR steering.
**B**: After the operation of the qubit, the demon informs Alice of its specific operation when a classical information channel is established between Alice and Bob. At last, Alice declares her resu... | CAB | CBA | CAB | ACB | Selection 2 |
**A**:
We shall provide a detailed answer to this question in this paper**B**: Statement 1) below corresponds to Theorems 1.3, 1.4, and Statement 2) corresponds to Theorem 1.5.**C**: Let us already paraphrase two special cases of the main statements (which are summarised in section 1.2) | ACB | CAB | BCA | CAB | Selection 1 |
**A**: Any given two n-qubit states are then SLOCC-equivalent if a complete set of SLIP measures has the same values for both of them Viehmann et al. (2011)**B**: SLIP measures provide not only a convenient method for entanglement classification but also its practical detection. Indeed, it was shown that almost all SLO... | CBA | BCA | ABC | BAC | Selection 4 |
**A**:
Figure 1**B**: The two types of universality: The first histogram shows the normalised gaps of the two middle eigenvalues in the spectrum of 5000500050005000 complex Wigner matrices of size 100×100100100100\times 100100 × 100**C**: The second histogram shows the empirical normalised bulk eigenvalue gaps of a si... | CBA | ACB | ABC | CAB | Selection 3 |
**A**: Our main result is that the infected and uninfected bacteria form self-similar travelling waves, which retreat before the expanding phage front and which grow exponentially in time**B**: The phage also form a self-similar front, which does not grow exponentially, but this is only in the case where superinfection... | BAC | CBA | CBA | ABC | Selection 4 |
**A**: An exemplary Gaussian noise model can be thought to be analogous to probabilistically mixing white noise to a state in the finite-dimensional formalism (eg**B**: Note 1**C**: the Werner state). The coefficients are chosen to be Gaussian, since several noise models can be approximated by the same and it is easier... | BCA | CAB | BAC | CAB | Selection 3 |
**A**: The corresponding symmetry algebra has a basis given by (5.5)**B**:
and ξμsuperscript𝜉𝜇\xi^{\mu}italic_ξ start_POSTSUPERSCRIPT italic_μ end_POSTSUPERSCRIPT are given by the Killing solution (4.2)**C**: This algebra coincides with that of the linear wave equation when the infinite-dimensional subalgebra is fac... | BCA | ABC | BAC | CAB | Selection 3 |
**A**: Section 3 is devoted to a study of PPT square conjecture. In particular, we will present the general approach to the problem**B**: In Section 2 we give definitions of the concepts just introduced. Furthermore, we will define and discuss the associated classes of positive maps**C**: Keeping in mind that entanglem... | CAB | CAB | BAC | ACB | Selection 3 |
**A**: Therefore, Gould’s original formalism requires substantial modification to properly account for the physics of this extreme environment. Such corrections have gradually been introduced**B**: Much of this attention is generated by the possibility that DM will thermalise [41, 57, 58] and annihilate within these ob... | BCA | CAB | BAC | CAB | Selection 3 |
**A**: 2191 (2022) 1, 012015, contribution to: DERELİ-FS-2021, may have some questinable parts, like the reflection coefficient being a ratio of two infinite numbers • Since it was published in a separate form, we could not publish an Addendum or Correction to this paper.
**B**: The method we used to calculate these co... | ABC | CBA | CAB | CAB | Selection 2 |
**A**: We find that neural étendue expansion also enables higher fidelity étendue expanded 3D color holograms**B**: We note that existing methods on étendue expanded holography has focused on monochromatic 3D holograms[7, 28, 29]. Photon sieves[21] only achieves 3D color holography for sparse points. See Supplementary ... | CBA | BCA | CAB | CBA | Selection 2 |
**A**: The numerical procedure we had
originally developed in Zeh et al**B**: the U𝑈Uitalic_U band, which is very vague**C**: (2004) assumes that for ν>ν(Uband)𝜈𝜈Uband\nu>\nu(\rm U\leavevmode\nobreak\ band)italic_ν > italic_ν ( roman_U roman_band ) the SN flux scales ∝ν−3proportional-toabsentsuperscript𝜈3\propto\... | BAC | ACB | BCA | CAB | Selection 1 |
**A**: Many metrics are possible. We can for instance define a measure of energy use (energy efficiency), the degree of removal of specific compounds (selectivity), or a measure of how long membranes remain functional.
**B**: After the setpoints of a process have been defined, metrics (or, equivalently, ‘performance in... | BCA | CAB | BCA | BCA | Selection 2 |
**A**: The circles/stars are samples of digit ‘3’ and ‘6’. All the baseline points (yellow) huddled together, and all digit ‘3’ samples are misclassified. With normalization (green), the distribution is significantly expanded, and the majority of ‘3’ is correctly classified. Finally, after noise injection (red), the ma... | ACB | ACB | CAB | ABC | Selection 3 |
**A**:
The National Radio Astronomy Observatory is a facility of the National Science Foundation operated under cooperative agreement by Associated Universities, Inc**B**: This research has made use of the CIRADA cutout service at URL cutouts.cirada.ca, operated by the Canadian Initiative for Radio Astronomy Data Anal... | CBA | ABC | BAC | CBA | Selection 2 |
**A**: The thermalization deteriorates the Fock states according to the map (S7)**B**: The vertical axis quantifies the maximal mean number of thermal phonons that preserves the presented quantum aspects. Note, the quantum non-Gaussianity and genuine one-phonon quantum non-Gaussianity are identical properties, and ther... | BAC | BCA | CAB | BAC | Selection 2 |
**A**: Our random restriction lemma shows that if one randomly fixes most of the inputs to a quantum query algorithm, then the algorithm’s behavior on the unrestricted inputs can be approximated by a “simple” function (say, a small decision tree or small DNF formula)**B**: Notably, our proof of Theorem 7 does not appea... | CAB | CAB | ACB | BAC | Selection 4 |
**A**: In CoauthorshipsNet, node means scientist and weights mean coauthorship, where weights are assigned by the original papers. For this network, there is no ground truth about nodes labels, and the numbers of communities are unknown. The CoauthorshipsNet has 1589 nodes, however its adjacency matrix is disconnected*... | ABC | BAC | CBA | BAC | Selection 1 |
**A**: Another important ingredient of any resource theory is the set of free operations. Free operations satisfy a necessary condition that they do not create resource states from free states, i.e., if ΛΛ\Lambdaroman_Λ is a free operation, then**B**: In entanglement theory the free states are separable states [49, 5].... | BCA | ABC | ABC | CBA | Selection 4 |
**A**: This hole effect is corrected employing first-order time-independent perturbation theory Mougeot (2018), as proposed by Vatai.
**B**: Vatai (1970), the vacancy created in a subshell by the capture process has a significant influence on all the orbitals**C**: As underlined by Vatai in Ref | BAC | CAB | CBA | BCA | Selection 3 |
**A**: Input Ω,KΩ𝐾\Omega,Kroman_Ω , italic_K**B**: The above analysis gives rise to the following algorithm called Ideal DFSP (short for Distribution-Free SP algorithm) in the oracle case with known population adjacency matrix ΩΩ\Omegaroman_Ω**C**: Output: ΠΠ\Piroman_Π.
| ACB | BAC | ACB | BCA | Selection 2 |
**A**: (2021b) and disagrees with results from zoom-ins from Jiang et al. (2019), although both studies focused on more massive galaxies**B**: The null correlation with halo spin agrees with Jiang et al. (2019). For the largest, most massive haloes in the ‘FB-S’ galaxies, there may be a slight dependence on the halo sp... | BAC | ACB | CAB | BCA | Selection 4 |
**A**: In this paper we are interested in the subset of the pionless EFT Lagrangian relevant for beta transitions, that is in the quartic interactions between a proton, a neutron, an electron, and a neutrino.555Interactions with more than two nucleon fields also contribute to nuclear beta transitions (A¿1), in particul... | CBA | CBA | ACB | BCA | Selection 3 |
**A**: In both cases, the differences between the predictions and the calculated energies are less than 1 mHa**B**: It is reassuring to note that the short chain length predictions are most accurate throughout the prediction interval, which is a consequence of training the Gaussian processes on short chains. Prediction... | ACB | BAC | BCA | CAB | Selection 3 |
**A**: The proof builds, in particular, on the χχ\upchiroman_χ-independence result of [MS20], the dimensional reduction isomorphism of [TK22], and the interpretation of deformed Calabi–Yau completions of total spaces of line bundles of [KM21]**B**: It is a cohomological version of the χχ\upchiroman_χ-independence conje... | BAC | ABC | CAB | BCA | Selection 4 |
**A**:
Community structure can greatly influence disease dynamics on networks [26, 30]**B**: Salathé and Jones [38] illustrated that changes in community structure are correlated with changes in disease quantities for susceptible–infected–recovered (SIR) dynamics on a network**C**: One of their findings is that outbre... | CBA | BCA | ABC | ACB | Selection 3 |
**A**: Here, we develop an efficient heuristic**B**: The general QNR problem can be formulated in terms of hypergraph flows and solved using LP (see Appendix A)**C**: Although polynomial-time and provably optimal, the LP-based approach has a very high time-complexity for
it to be practically useful | ABC | CBA | CBA | CAB | Selection 4 |
**A**: From a mathematical point of view, the Legendre transform we have introduced in Eq. (23) is at the level of probability distributions, and it does not rely on asymptotics**B**: Such a microscopic Legendre transform has previously appeared in other fields such as information geometry [47, 48] and the foundations ... | ABC | BAC | CBA | BAC | Selection 1 |
**A**: This stochastic reproductive number plays a pivotal role in delineating the dynamics of extinction and persistence of the coronavirus (disease). Specifically, our attention is directed towards analyzing the infected class (4), i.e.
**B**: The existence of the virus-free equilibrium and endemic equilibrium hinges... | ABC | BAC | CAB | CBA | Selection 3 |
**A**:
We would like to thank Frédéric Faure, Benjamin Delarue, Stéphane Nonnenmacher, Tobias Weich and Luchezar Stoyanov for very interesting discussions**B**: Finally, we would like to thank the anonymous referee for his comments and suggestions that helped to improve the manuscript. The first author is supported fr... | BAC | BCA | BCA | ACB | Selection 4 |
**A**: It is by now well-established that the interactions mediated by the Coulomb forces in Luttinger semimetals stabilize a new non-Fermi liquid (NFL) state – the so-called Luttinger-Abrikosov-Beneslavskii (LAB) phase [27, 28]**B**: The effective field theory for this phase was first studied by Abrikosov and Beneslav... | BCA | CBA | BAC | ABC | Selection 4 |
**A**: (2022). This scheme, compatible with a two-dimensional architecture, offers a substantial reduction in the physical resource cost of fault-tolerant quantum computing against the surface code—the archetype for fault-tolerant quantum computing Fowler et al. (2012); Litinski (2019a, b); Fowler and Gidney (2019); Gi... | ACB | BAC | CBA | CAB | Selection 2 |
**A**: An alternative notion that incorporates the 3D−limit-from3𝐷3D-3 italic_D -compatibility property of a map, is the so-called Yang-Baxter property**B**: The maps that satisfy the Yang-Baxter property will be called Yang-Baxter maps**C**: Note that if a 3D−limit-from3𝐷3D-3 italic_D -compatible map is quadrirati... | BAC | CBA | ABC | CBA | Selection 3 |
**A**: For example, when using the information in the linear point [45, 46, 47, 48], no reconstruction is required**B**: Also, the estimated α𝛼\alphaitalic_α from the traditional BAO methods and from the linear point approach may conceptually differ, and a comparison is beyond the scope of this work.
**C**: Also note ... | ACB | CAB | BCA | CBA | Selection 3 |
**A**: Our results are shown in Table 1.
Most of the ordered alloys we studied order in the bcc-derived structures B2 and D03.[43, 44, 45] The B2 structure is a bcc-derived structure with two atoms in the primitive unit cell. This structure is therefore present in alloys with the ratio of 1–1 of two elements**B**: On t... | BAC | CAB | BCA | CAB | Selection 3 |
**A**: We provide evidence for power law decaying autocorrelations, and for a pattern of hierarchical relaxation when quenched from extremal initial states into the different equilibrium phases.
In Sec. V we study the large deviations statistics of dynamical observables by means of numerical MPS. As in other constraine... | CBA | ACB | BCA | CAB | Selection 4 |
**A**: Eq**B**: (41)
can be written eν=(1+Ar2)nsuperscript𝑒𝜈superscript1𝐴superscript𝑟2𝑛e^{\nu}=(1+Ar^{2})^{n}italic_e start_POSTSUPERSCRIPT italic_ν end_POSTSUPERSCRIPT = ( 1 + italic_A italic_r start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT ) start_POSTSUPERSCRIPT italic_n end_POSTSUPERSCRIPT.**C**: field equations | CAB | BCA | ACB | CAB | Selection 2 |
**A**: Why this happens is examined in the Exploration subsection**B**: But it shows that BO can be much faster, even if care must be taken when choosing the models and priors.**C**: By inspection of Fig. 2 one can see that the selection examples have many local optima, and so would suffer from this.
On the London data... | BCA | CAB | CBA | ABC | Selection 1 |
**A**: The in-situ proof-of-principle in nature is however still to be shown. We have already demonstrated that cosmic ray air showers create particle cascades in ice with properties very similar to neutrino-induced cascades. Therefore, the radar detection of these in-ice cosmic-ray-induced particle cascades would show... | BCA | BAC | CBA | ACB | Selection 3 |
**A**: Accordingly, the back-propagation of the ghost propagator’s non-analyticities into the gluon DSE at least requires a perturbative three-loop computation. While certainly being challenging, this may be within the technical range of perturbative computations in the CF model, and is very desirable**B**: In a massiv... | ABC | BAC | BCA | BCA | Selection 2 |
**A**:
Reconstructing an approximation of the data from a few set of kPCA components is non trivial problem and its presentation is here omitted (see Mendez, 2023b )**B**: Interested readers are referred to Bakir et al., (1999)**C**: We close this section with an application, illustrated in Figure 4. | ACB | BCA | ACB | ABC | Selection 4 |
**A**: In Sec. VI, we show that the anomaly equation at the edge can be derived variationally by adding a boundary chiral boson action, which is non-linearly coupled to the edge density, to the topological fluid action. In Section VII, we offer a heuristic boundary layer interpretation of the edge anomaly equation. The... | BCA | CAB | BAC | CBA | Selection 4 |
**A**: A dispersive dipole magnet allows the reconstruction of the energy spectrum. The X-rays produced in the beam-target interaction are measured with profile monitors and spectrometers (not shown).**B**: The beam after the interaction passes through an optional profile monitor which allows to measure the transverse ... | ABC | ABC | CBA | BAC | Selection 3 |
**A**: Our dataset includes 31 points from the Hubble dataset, 1048 points from the Pantheon SN samples, and 6 points from the BAO dataset**B**:
To investigate the observational characteristics of our cosmological model, we leverage the latest cosmic Hubble, SN observations, and BAO**C**: Employing Bayesian analysis, ... | CBA | BAC | BCA | BCA | Selection 2 |
**A**:
The partitioning of trace elements and the fractionation of stable isotopes during calcite precipitation are strongly affected by crystallization kinetics (e.g., Watkins et al., 2017). Trace element partitioning during calcite growth has been studied extensively in both natural and laboratory settings (e.g., Lo... | ACB | CBA | BCA | CAB | Selection 1 |
**A**: In Section 2, we review the Lie point symmetry analysis of (1.1)**B**: Solutions of the invariance condition as a Riccati equation in the independent variable I(x)𝐼𝑥I(x)italic_I ( italic_x ) has been discussed. Section 3 is devoted to five examples of PDEs in connection with the study of Brownian motion and m... | CAB | BCA | ABC | CAB | Selection 2 |
**A**: The local effects typically amount to a relatively small contribution compared to the terms in (12). Moreover, (12) is sufficient to obtain a true understanding of the nature of RSDs in the angular power spectrum. However, these effects need to be taken into account in the light of upcoming precision cosmologica... | BAC | CAB | BCA | BCA | Selection 2 |
**A**: The proofs of these results are given in the subsequent sections.**B**: The next section briefly recalls only the essential part of [8] used in the sequel**C**: The main results obtained in the present paper are Theorems 3.1 and 4.1 from sections 3 and 4
respectively | ABC | CAB | BCA | ABC | Selection 2 |
**A**: The VTX is described in detail in Refs. [22, 18]**B**: It is composed of two arms, each with |η|<1𝜂1|\eta|<1| italic_η | < 1 and
Δϕ≈ 0.8πΔitalic-ϕ0.8𝜋\Delta\phi\,{\approx}\,0.8\piroman_Δ italic_ϕ ≈ 0.8 italic_π coverage**C**: Each arm has four layers around the | BCA | ACB | ABC | BCA | Selection 3 |
**A**: AGN can also exhibit short-term variability for periods of hours or days, but we caution that the detection of a high-energy neutrino alert is a process that requires a substantial fluence at the IceCube detector, even after accounting for the significant Eddington bias associated with cosmic neutrino detection ... | BCA | ACB | BAC | BCA | Selection 2 |
**A**: Fig. 4 for the pTsubscript𝑝𝑇p_{T}italic_p start_POSTSUBSCRIPT italic_T end_POSTSUBSCRIPT range 1.0<pT<1.21.0subscript𝑝𝑇1.21.0<\mbox{$p_{T}$}<1.21.0 < italic_p start_POSTSUBSCRIPT italic_T end_POSTSUBSCRIPT < 1.2 GeV/c𝑐citalic_c**B**: The four
panels correspond to four different centrality selections**C**: E... | ABC | BCA | CAB | CAB | Selection 1 |
**A**:
In this section we discuss examples with concrete codes**B**: They serve several purposes**C**: Firstly, they show that invariants we proposed are nontrivial, calculable and yield what is expected on physical grounds in models which are already well understood. Secondly, they support our physical interpretation... | BAC | ABC | BAC | ACB | Selection 2 |
**A**: After preparing the initial ground state, the system will evolve according to the quench profile (2)**B**: To this end, we render the neural network parameters to be functions of time. Then, the parameters will be computed at every time step with the time-dependent VMC method, by minimizing the distances δ𝛿\del... | BAC | CAB | ACB | BAC | Selection 3 |
**A**: In order to show the effect of different space intervals and time intervals, two groups of comparison tests have been done**B**: Table 2 shows the result of different hℎhitalic_h.
**C**: First, we choose different space interval hℎhitalic_h to observe the performance of our model | CAB | ACB | BCA | BAC | Selection 2 |
**A**: The microcentrifuge tube was then agitated for 1 week on an orbital shaker at 100 rpm (PSU-10i Grant Bio, UK).
**B**: In brief, 5 mM oleic acid vesicles were prepared in a buffer that contained 100 mM Na-bicine (pH 8.3) and up to 500 mM sucrose by adding the appropriate amount of oleate micelles**C**: Vesicles w... | CBA | ABC | BCA | ABC | Selection 1 |
**A**: To be sure, our prescription has only a limited range of validity; nevertheless, it serves as a useful illustration of several related techniques for computing and understanding holographic entanglement.**B**: If we treat the limits correctly, we find a simple picture of holographic entanglement entropy: in cert... | ACB | ABC | CAB | CBA | Selection 4 |
**A**: At low noise, to achieve a quantum semantic fidelity of 0.70.70.70.7, QSC requires around 50%percent5050\%50 % quantum communication resources compared to semantic-agnostic QCNs using pruning data compression without any semantic concept extraction**B**: This demonstrate the advantages of QSC accurately sending ... | CBA | CBA | BCA | ABC | Selection 3 |
**A**: solutions (2019) The non ideal behavior illustrated here occurs at frequencies smaller than this by at least two and at most eight orders magnitude.
**B**: However, the remaining deviation from ideal behavior is caused by the equivalent series inductance that typically produces self-resonance frequencies above 1... | ABC | CBA | CAB | ACB | Selection 2 |
**A**:
This approach to screw theory via special vector fields has the advantage of being independent of any reduction point**B**: We stress that in this work the screws will always be elements of a 6-dimensional real vector space, hence our notion of screw is equivalent to that of torseur, and conforms with the termi... | ACB | ABC | CBA | ABC | Selection 1 |
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