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A new method to improve the sensitivity and absolute accuracy simultaneously for coherent population trapping (CPT) magnetometer based on the differential detection method is presented. Two modulated optical beams with orthogonal circular polarizations are applied, in one of which two magnetic resonances are excited simultaneously by modulating a 3.4GHz microwave with Larmor frequency. When a microwave frequency shift is introduced, the difference in the power transmitted through the cell in each beam shows a low noise resonance. The sensitivity of 2pT/Hz @ 10Hz is achieved. Meanwhile, the absolute accuracy of ± 0.5nT within the magnetic field ranging from 20000nT to 100000nT is realized.

SUMMARYThe Green's functions for a triclinic half-space for embedded harmonic line load are considered. Corresponding displacement and stress fields are expressed in terms of double Fourier integrals. The first integral was evaluated using contour integration while the second one was computed through the Gauss-Legendre quadrature. The resulting Green's functions algorithm avoids repeated calculations of the same quantities and utilizes the vector computational features within MATLAB environment. Extensive testing of the results has been performed for both displacement and stress fields. The tests demonstrate the accuracy of the proposed procedure for evaluating the Green's functions without any restrictions upon material properties, frequency, and location of the source and observation points.

SUMMARYThe displacement and stress Green's functions for a 3D triclinic half-space with embedded harmonic point load is considered. The resulting displacement and stress fields are expressed in terms of triple Fourier integrals. The first integral was evaluated using contour integration and the 3D Green's functions were obtained as a superposition of 2D results over the azimuthal angle. The resulting algorithm developed for evaluation of the Green's functions avoids repeated calculations of the same quantities and it utilizes the vectorized manipulation within MATLAB environment. The algorithm places no restriction on material properties, frequency and location of source and observation points. Extensive testing of the numerical results was performed for both displacement and stress. The tests confirm the accuracy of the numerical results.

In this paper we introduce entropy-stability and F-stability for homothetically shrinking Yang-Mills solitons, employing entropy and the second variation of the F -functional respectively. For a homothetically shrinking soliton which does not descend, we prove that entropy-stability implies F-stability. These stabilities have connections with the study of Type-I singularities of the Yang-Mills flow. Two byproducts are also included: We show that the Yang-Mills flow in dimension four cannot develop a Type-I singularity, and we obtain a gap theorem for homothetically shrinking solitons.

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To investigate the predictive factors of pain intensity during the first 48 hours after spinal correction and fusion operations for idiopathic scoliosis patients.A total of 290 scoliosis patients who underwent posterior spinal instrumentation and fusion operations were enrolled in this study. A standard surgical and analgesic method was implemented for all participants and pain intensity was evaluated at fixed times within 48 hours after the operation. Variables including demographics (age, sex, body mass index [BMI], patient sources), surgical variables (procedure, duration of operation), intraoperative variables (total transfusion, autologous transfusion, heterogeneous transfusion, fluid intake, use of preventive analgesia) were investigated.On univariate analysis, BMI, transfusion type and not implementing preventive analgesia were associated with more serious pain after a scoliosis correction operation. Multivariate analysis indicated that receiving heterogeneous transfusion and not implementing preventive analgesia were significant predictive factors for moderate and severe pain after the spinal correction operation.Our research indicated that the type of transfusion and preventive analgesia were significantly associated with the severity of pain. Body mass and patient sources should be considered before surgery. For patients under high risk of moderate and severe pain, the type of transfusion must be taken into consideration. This study explored the influencing factors of postoperative pain from a novel perspective, but some limitations existed in this present study, and future studies are needed.