“…The current investigation is related to the design of novel integrated neuroswarming heuristic paradigm using Gudermannian artificial neural networks (GANNs) optimized with particle swarm optimization (PSO) aid with active-set (AS) algorithm, i.e., GANN-PSOAS, for solving the nonlinear third-order Emden–Fowler model (NTO-EFM) involving single as well as multiple singularities. …”
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“…Delocalized and intermediate open-shell electronic structures of [N]IF-CNB are also useful to drastically change the third-order nonlinear optical properties. These results suggest that theoretically designed [N]IF-CNB can be attractive and challenging targets of organic synthesis for realizing novel open-shell functional conjugated macrocycles.…”
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“…By calculation, PAE-azo-CoPc exhibited larger third-order nonlinear optical susceptibilities than that of PAE-azo-DCN. …”
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“…Furthermore, due to the contribution of the conjugate properties of the ligands to the third-order nonlinear optical (NLO) properties, we also studied its two-photon responses and achieved satisfactory results.…”
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“…On the basis of the classical tree statistics of gelation, combined with a thermodynamic theory of associating polymer solutions, it is shown that, within the mean-field description, the thermoreversible gelation of polyfunctional molecules is a third-order phase transition analogous to the Bose–Einstein condensation of an ideal Bose gas. …”
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“…Through the dynamic hole storage mechanisms, loaded CoPi on Fe(2)O(3) facilitates spatial charge separation and serves as a charge transfer mediator, instead of serving as a catalyst to change the water oxidation mechanism (constant third-order reaction). The spatial separation of photoinduced charges between Fe(2)O(3) and CoPi results in more long-lived holes on the Fe(2)O(3) surface to improve PEC water oxidation kinetically. …”
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“…Besides, more degrees of freedom are provided to control the location of harmonics. A third order Chebyshev dual-wideband bandpass filter composed of cascade parallel sandwich coupled three-lines sections of types SC/CS and OSL-TSIR which act as multi-mode resonator was developed and the design procedure is described. …”
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“…Uncorrected, first, second and third order stationary tissue corrected flow measurement were compared to phantom corrected flow measurements, our reference method, using Medis QFlow, Circle cvi42 and MASS software. …”
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“…The observed long-range correlations are characterized by the second-order ($v_2$) and third-order ($v_3$) anisotropy harmonics of $\text{K}_{\text{S}}^{0}$ and $\Lambda$/$\overline{\Lambda}$, which are studied as a function of particle multiplicity and transverse momentum. …”
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“…Measurements of the resulting second- and third-order flow coefficients are presented in intervals of $p$+Pb event activity classes. …”
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“…The observed azimuthal correlations at large relative pseudorapidity are used to extract the first, second, and third-order two-particle anisotropy harmonics, $V_{1\Delta}$, $V_{1\Delta}$, and $V_{1\Delta}$ as a function of track multiplicity and transverse momentum $p_T$. …”
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“…Muons from both charm and bottom hadrons are found to have significant non-zero, second- and third-order azimuthal anisotropies in Pb+Pb collisions, with larger anisotropies for muons from charm hadrons than for muons from bottom hadrons. …”
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“…In the configuration studied, a coasting beam is accelerated slowly into a third-order resonance by a betatron core. The acceleration rate set by the betatron core determines the spill length. …”
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“…We give explicit analytical results up to third order in opacity for both the gluon radiation cross section of free incoming and of in-medium produced quarks. …”
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“…In parallel, commissioning of the accelerator with Carbon ions and the installation of the Gantry beam line are ongoing. At MedAustron, a third-order resonance extraction method is used to extract particles from the synchrotron in a slow controlled process over a spill time of 0.1-10 seconds to facilitate the measurement and control of the delivered radiation dose during clinical treatments. …”
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“…Ultrafast optical switching in plasmonic platforms relies on the third‐order Kerr nonlinearity, which is tightly linked to the dynamics of hot carriers in nanostructured metals. …”
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“…Here we introduce the main physical processes involved in nonlinear photonics applications, and we discuss the fundaments of this research area, starting from traditional second-order and third-order phenomena and going to ultrafast phenomena. …”
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“…In a more broad way these results show that a system of wave modes interacting through all possible combinations of the third order non-linear terms described by a general wave Hamiltonian necessarily produces anharmonic wave modes with temporal and spatial scaling properties that follow scale free power laws. …”
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“…Moreover, with the topologies of capacitor and inductor elements, a compact third-order Butterworth bandpass filter with a central frequency of 2.4 GHz is developed, and the footprint is only 0.814 mm × 0.444 mm. …”
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“…The combined effect of both climatic parameters on disease severity was quantified using a third-order polynomial equation. The model obtained by linear regression and backward elimination technique fitted well to the data (R(2) = 0.94 and R(2)(adj) = 0.93). …”
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