“…We invert the Schrödinger equation to a third--order differential equation for ${\cal F}$ and observe that the inversion procedure implies a $x$--$\psi$ duality. …”
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“…Moreover, regions of distinct third-order networks displayed side-by-side juxtapositions with a pattern that repeated similarly across multiple cortical zones. …”
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“…Following the PRISMA guidance, 22 papers were selected and synthesized using Malpass’s definitions of first, second, and third order constructs. First order constructs, consisting of participant data published in the selected papers, were extracted and categorised by second and third order constructs for analysis. …”
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“…Lens decentration, ie, the x- and y-differences between the contact lens and pupil centers, was objectively determined. Third-order aberrations were measured and compared. …”
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“…We obtain a precision prediction for the pT spectrum by matching second-order (NNLO) QCD corrections at large pT with resummation of third-order logarithmic (N 3 LL) corrections at small pT . …”
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“…The dynamical scaling behavior of hydrodynamic and non-hydrodynamic moments of the distribution function is stud- ied using third-order Chapman-Enskog hydrodynamics and anisotropic hydrodynamics for systems undergoing Bjorken and Gubser expansions, where exact solutions of the Boltzmann equation in Relaxation Time Approximation (RTA) are available for comparison. …”
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“…The PS primary proton beam is slowly extracted at 24 GeV/c towards the East Area with the help of the third- order resonance technique over a typical spill length of 350 to 450 ns within 2.4 s cycles. …”
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“…The good accuracy is recovered by the attractive third-order doubles correction referred to as E(c)(2g). …”
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“…Specifically, by a quantum treatment of the matter through density matrix description of the third order nonlinear polarization, we identify the contributions which generate the Raman bands, by taking into account for the cross section of each process.…”
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“…We theoretically study the effective third-order nonlinear response and optical bistability of the 3D graphene based composite consisting of graphene wrapped dielectric nanoparticles embedded in dielectric host at terahertz frequencies. …”
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“…We also show that the topological phase transition from the third-order topological Mott insulator to the usual Mott insulator occurs when the bulk spin gap solely closes.…”
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“…Among them, it is confirmed that the third-order Ogden model is best suited for simulating the PDMS films over the entire tensile test range. …”
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“…Here, the nonlinear refractive index (n(2)) and third-order nonlinear susceptibility (χ((3))) of VO(2) dispersions have been acquired to be 3.06 × 10(−6) cm(2) W(−1) and 1.68 × 10(−4) esu at a wavelength of 671 nm, and 5.17 × 10(−6) cm(2) W(−1) and 2.83 × 10(−4) esu at a wavelength of 532 nm via the spatial self-phase modulation (SSPM) and spatial cross-phase modulation (SXPM) effects in the visible regime, respectively. …”
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“…Femoral artery response was reduced by 18 ± 5%, while third-order mesenteric arterioles were negatively affected by 20 µg nano-TiO(2) with a mean decrease in response of 38.37 ± 10%. …”
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“…Furthermore, we introduce n3loxs, a public, numerical program for the evaluation of inclusive cross sections at the third order in the strong coupling constant. Our tool allows to derive predictions for charged- and neutral-current Drell-Yan production, gluon- and bottom-quark-fusion Higgs boson production and Higgs boson associated production with a heavy gauge boson. …”
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“…We argue that the low value of the BLM scale found previously for inclusive decays is a manifestation of the renormalon divergence of the perturbative series starting already in third order. A reliable determination of |V_{cb}| from inclusive decays is still possible if one uses a short-distance b quark mass. …”
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“…(c) NMA (N- methyl-DL-aspartate) or GLY (glycine), which have been reported to suppress the responses of third-order neurons, do not diminish the b- or d-waves, nor the potassium fluxes at ON or OFF. …”
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“…In this paper, combining the third-order (third-order tensor) and second-order (correlation) statistics of bands, we define a new concept, named joint skewness, for multivariate data. …”
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“…Methods using first- to third-order polynomial approximations were applied to calculate the fitting curve to obtain the mean absolute error. …”
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“…Results of the synthesis identified four second‐order themes and one third‐order theme relating to the emotional experiences of such individuals. …”
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