CHARACTERISTIC FREQUENCY EXTRACTION FOR THE FAULT OF GEAR BROKEN TEETH BASED ON IHPS AND SPS by TAO JiuZhi, HUANG RunHua, MA WeiPing

“…Regarding the vibration signal characteristics of gear with broken teeth,the fault characteristic frequency can be extracted by means of calculating IHPS（ Improved Harmonic Product Spectrum） and SPS（ Sideband Product Spectrum） after FFT when the vibration shock is not obvious. …”
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High-Stability PGC-EKF Demodulation Algorithm Integrated with a Phase Delay Compensation Module by Hengyang Zhao, Feng Zhu, Xiaoxiao Xu, Zongling Zhao, Chuanlu Deng

“…Furthermore, with the EKF algorithm, the harmonic distortion of the demodulated signal due to the fluctuation of <i>C</i> value is suppressed. …”
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Internal tides off the Amazon shelf in the western tropical Atlantic: analysis of SWOT Cal/Val mission data by M. Tchilibou, L. Carrere, F. Lyard, C. Ubelmann, G. Dibarboure, E. D. Zaron, B. K. Arbic

“…Internal tide amplitudes (models or atlases) are first derived by harmonic analysis of the SWOT sea level anomaly (SLA). …”
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He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective by Behrouz Raftari

“…We propose first-order approximate VIM solution for this equation and we compare this solution with the solution obtained by harmonic balance method.…”
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Visualization of Snow Cover Changes in the Greater Caucasus Mountains Using Integrated Multi-Sensor Image Fusion by Imrani Zaur, Rasouli Aliakbar

“…Next, we employed a harmonized method to combine the Harmonized Landsat and Sentinel (HLS) image bands using object-oriented functions within the eCognition software. …”
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Praetorius’ Polyhymnia caduceatrix (1619). Diatonische Logik und Skalenlogik in mehrchörigen und konzertierenden Werken des Frühbarocks by Christophe Guillotel-Nothmann, Anne-Emmanuelle Ceulemans

“…The comparison shows how the harmonic and melodic characteristics subsumed in the thoroughbass oscillate between diatonic and scale logic. …”
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Phase-lag mixed integral equation of a generalized symmetric potential kernel and its physical meanings in (3+1) dimensions by Azhar Rashad Jan

“…In addition, Maple 2018 and mathematical programming are utilized to calculate numerical values for various coefficients related to the Weber-Sonien integral and its harmonic degree.…”
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Simulating Quantum Field Theories on Gate-Based Quantum Computers by Gayathree M. Vinod, Anil Shaji

“…We also explore the inaccuracies introduced by the bounds on achievable harmonic resolution and Trotter steps placed by the limited number of qubits and circuit depth supported by present-day NISQ devices.…”
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Determining the Dynamic Settlement of the Foundation Adjacent to Slope Using Analytical Method by Mohammad Javad Shabani, Ali Ghanbari

“…Furthermore, with increasing slope angle and declining the foundation distance from the slope edge, due to vertical harmonic load, the foundation settlement amount increases.…”
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A star is born: eGastroenterology by Bo-Göran Ericzon, Guoyue Lv, John W Harmon

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Feedforward Control of Gear Mesh Vibration Using Piezoelectric Actuators by Gerald T. Montague, Albert F. Kascak, Alan Palazzolo, Daniel Manchala, Erwin Thomas

“…The principle of the approach is explained by an analysis of a harmonically excited, general linear vibratory system.…”
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New Modification on Heun’s Method Based on Contraharmonic Mean for Solving Initial Value Problems with High Efficiency by Abushet Hayalu Workie

“…In this paper, small modification on Improved Euler’s method (Heun’s method) is proposed to improve the efficiency so as to solve ordinary differential equations with initial condition by assuming the tangent slope as an average of the arithmetic mean and contra-harmonic mean. In order to validate the conclusion, the stability, consistency, and accuracy of the system were evaluated and numerical results were presented, and it was recognized that the proposed method is more stable, consistent, and accurate with high performance.…”
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Variable Exponent Spaces of Differential Forms on Riemannian Manifold by Yongqiang Fu, Lifeng Guo

“…After discussing the properties of these spaces, we obtain the existence and uniqueness of weak solution for Dirichlet problems of nonhomogeneous 𝑝(𝑚)-harmonic equations with variable growth in 𝑊01,𝑝(𝑚)(Λ𝑘𝑀).…”
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A mathematical model of a nuclear reactor with delay depending on the power of the reactor by Kostas Bučys, Rasa Grigolienė, Jolanta Janutėnienė, Donatas Švitra

“…There is received an approximate periodical solution of one frequency of the model and determined the `degree of harmonicity'' of the solution. …”
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Product and Commutativity of kth-Order Slant Toeplitz Operators by Chaomei Liu, Yufeng Lu

“…The commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed. …”
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Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing by A. Carpio, M.-L. Rapún

“…After illustrating the techniques in time-harmonic acoustic problems with different boundary conditions and in electrical impedance tomography problems with continuous Neumann conditions, we extend the hybrid method for a realistic model in tomography where the boundary conditions are given at a discrete set of electrodes.…”
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Unsteady Stagnation-Point Flow of a Viscoelastic Fluid in the Presence of a Magnetic Field by F. Labropulu

“…It is assumed that the infinite plate at y=0 is making harmonic oscillations in its own plane. A finite difference technique is employed and solutions for small and large frequencies of the oscillations are obtained for various values of the Hartmann's number and the Weissenberg number.…”
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PROBLEMS OF USE OF ADMINISTRATIVE INFORMATION SOURCES IN MACROECONOMIC STATISTICS by A. Abroskin, N. Abroskina

“…The article considers the problems of convergence of the administrative and statistical indicators methodological base, features of harmonization of applied definitions, matching of the boundaries of structural units and systems of used classifiers relating to different accounting systems. …”
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On a generalization of u-means by Francois Dubeau

“…The arithmetic, geometric and harmonic means are special cases.…”
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Impacts of Hurricane Damage on Southern Highbush Blueberries by Doug Phillips, Jeffrey Williamson, Philip Harmon

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