“…Electrochemical and theoretical investigations over triple-quadruple-, quintuple-, and sextuple-decker sandwich-type compounds {[(Pc*)Sm][(Pc*)Cd(n)(Pc*)(n)][Sm(Pc*)]} (n = 0–3) elucidate successive π–π interaction-linked extension in the perpendicular direction of the phthalocyanine plane along with increasing the stacked tetrapyrrole number, significantly improving the nonlinear optical properties including effective imaginary third order molecular hyperpolarizability and optical limiting threshold.…”
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“…We investigated the linear, third-order nonlinear and total absorption coefficients (AC) and refractive index changes (RIC) using the density matrix. …”
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“…DATA SYNTHESIS: A set of common second order constructs (original authors’ interpretations of participants’ experiences) were identified across the studies and used to develop a novel integrative account of the data (third order constructs). Study quality was assessed using the Critical Appraisal Skills Programme checklist. …”
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“…According to experimental data, the best fitted parameter for the coefficient of restoration force is a third order negative powers function of diameter. The fitted function for the correction damping factor is proportional to the inverse squared wavelength and third order power series of NP diameter. …”
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“…We tracked VHF radiocollared chipmunks and collected habitat information at used and available locations to analyze habitat selection at three scales: second order (i.e., home range), third order (i.e., within home range), and microhabitat scales. …”
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“…The mass, maximum deformation, equivalent stress, service life, and the first-, second- and third-order natural frequencies are defined as objective functions. …”
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“…We present a new formulation of effective field theory for nucleon-nucleon (NN) interactions which treats pion interactions perturbatively, and we offer evidence that the expansion converges satisfactorily to third order in the expansion, which we have computed analytically for s and d wave NN scattering. …”
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“…A CMOS bidirectional distributed amplifier is presented that combines for the first time device-level with circuit-level linearization, suppressing the third-order intermodulation distortion. It is implemented in 0.13μm RF CMOS technology for use in highly linear, low-cost UWB Radio-over-Fiber communication systems. …”
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“…The second- ($v_2$) and third-order ($v_3$) Fourier harmonics are extracted using two-particle correlation and four-particle cumulant methods covering similar multiplicity ranges in pPb and PbPb over a wide range of pseudorapidity. …”
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“…The second-order ($v_2$) and the third-order ($v_2$) Fourier coefficients which describe the azimuthal anisotropy of prompt and nonprompt $J/\psi$ and prompt $\psi$(2S) mesons are measured in PbPb collisions at 5.02 TeV. …”
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“…Several techniques use the third-order resonance to extract hadrons; these include betatron core driven extraction and radiofrequency knock-out. …”
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“…The analysis is based on predictions evaluated at third order in perturbative QCD, supplemented by the resummation of logarithmically-enhanced contributions in the small transverse-momentum region of the lepton pairs. …”
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“…We generalize the neutral Rayleigh equation for the third-order by exploiting the model of fractional calculus, in particular the Riemann–Liouville differential operator. …”
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“…In this study, the first-order linear, third-order nonlinear, and total absorption coefficients for the intersubband transition between the two lower-lying electronic levels in both symmetric and asymmetric double Morse quantum wells under the non-resonant high-frequency intense laser field are investigated. …”
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“…This measurement is used to extract the coupling constant of the strong interactions using state-of-the-art predictions at third-order accuracy in perturbative QCD, supplemented by resummation of logarithmically-enhanced contributions in the small transverse-momentum region of the lepton pairs. …”
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“…The analysis is based on predictions evaluated at third order in perturbative QCD, supplemented by the resummation of logarithmically enhanced contributions in the low transverse-momentum region of the lepton pairs. …”
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“…The analysis is facilitated by state-of-the-art predictions at third-order accuracy in perturbative QCD, supplemented by resummation of logarithmically-enhanced contributions in the small transverse-momentum region of the lepton pairs (N3LO+N4LL).…”
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“…In the present study, roll misalignments and strength errors are also included for both e⁻ and e⁺ beamlines, making the study a more realistic one. First, second and third order knobs are implemented in the tuning procedure to target the most relevant beam size aberrations. …”
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“…A third-order aberration theory has been developed for the Offner imaging spectrometer comprising an extended source; two concave mirrors; a convex diffraction grating; and an image plane. …”
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“…The observed azimuthal correlations at large relative pseudorapidity are used to extract the second-order and third-order anisotropy harmonics as function of the charged-particle multiplicity in the event and the transverse momentum of the particles.…”
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