On Harmonic Index and Diameter of Quasi-Tree Graphs by A. Abdolghafourian, Mohammad A. Iranmanesh

“…The harmonic index of a graph G (HG) is defined as the sum of the weights 2/du+dv for all edges uv of G, where du is the degree of a vertex u in G. …”
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PROBLEMS OF IMPLEMENTATION AND HARMONIZATION OF INDIVIDUAL AND CORPORATE INTEREST by D. Gurov, N. Gotskay

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Design and Meshing Analysis of Involute Harmonic Drive by Wang Yanyi, Tan Qing

“…The tooth profile of harmonic gear has a significant influence on the harmonic drive device performance,for the purpose to improve the harmonic drive performance,the involute tooth profile of harmonic drive is adopted as the research object,the conjugate tooth profile of harmonic drive is designed based on the envelope theory,and the conjugate exist domain,conjugate tooth profile are analyzed,the simulation analysis of the assembly station and the move locus of the conjugate tooth profile are carried out. …”
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Harmonic analysis of the torque of the YAMZ-5340 engine by Yu. P. Makushev, T. A. Polyakova

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Close-to-Convexity of Convolutions of Classes of Harmonic Functions by Raj Kumar Garg, Jay M. Jahangiri

“…For j=1,2 and for positive integers m and n, we consider classes of harmonic functions fj=hj+gj¯, where g1(z)=znh1(z) and g2′(z)=znh2′(z) or g1′(z)=znh1′(z) and g2′(z)=zmh2′(z), and we prove that their convolution f1⁎f2=h1⁎h2+g1⁎g2¯ is locally one-to-one, sense-preserving, and close-to-convex harmonic in z<1.…”
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Eccentric Harmonic Index for the Cartesian Product of Graphs by Kamel Jebreen, Muhammad Haroon Aftab, M. I. Sowaity, B. Sharada, A. M. Naji, M. Pavithra

“…Suppose ρ is a simple graph, then its eccentric harmonic index is defined as the sum of the terms 2/ea+eb for the edges vavb, where ea is the eccentricity of the ath vertex of the graph ρ. …”
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Coherent harmonic generation of magnons in spin textures by Guibin Lan, Kang-Yuan Liu, Zhenyu Wang, Fan Xia, Hongjun Xu, Tengyu Guo, Yu Zhang, Bin He, Jiahui Li, Caihua Wan, Gerrit E. W. Bauer, Peng Yan, Gang-Qin Liu, Xin-Yu Pan, Xiufeng Han, Guoqiang Yu

“…Abstract Harmonic generation, a notable non-linear phenomenon, has promising applications in information processing. …”
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Coefficient Conditions for Harmonic Close-to-Convex Functions by Toshio Hayami

“…New sufficient conditions, concerned with the coefficients of harmonic functions 𝑓(𝑧)=ℎ(𝑧)+𝑔(𝑧) in the open unit disk 𝕌 normalized by 𝑓(0)=ℎ(0)=ℎ(0)−1=0, for 𝑓(𝑧) to be harmonic close-to-convex functions are discussed. …”
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A Passive Harmonic Tag for Humidity Sensing by Antonio Lazaro, Ramon Villarino, David Girbau

“…This paper describes a passive harmonic tag for radio frequency identification (RFID) and wireless sensor applications. …”
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Conservation law of harmonic mappings in supercritical dimensions by Guo, Chang-Yu, Xiang, Chang-Lin

“…As an application, we obtain a conservation law for weakly harmonic mappings around regular points in supercritical dimensions.…”
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Energy solutions to the bi-harmonic parabolic equations by Saleh Almuthaybiri, Tarek Saanouni

“…This study explores the threshold of global existence and exponential decay versus finite-time blow-up for solutions to an inhomogeneous nonlinear bi-harmonic heat problem. The novelty is to consider the inhomogeneous source term. …”
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Harmonic and Intermodulation Performance of Nonlinear Electronic Circuits by Muhammad Taher Abuelma'atti

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Recent Advances in Inequalities and p-Harmonic Equations by Shusen Ding, Peilin Shi, Yuming Xing

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Estimation of parameters of a harmonic chirp model by Rhythm Grover, Debasis Kundu, Amit Mitra

“…Abstract Here, we address the problem of estimation of the parameters of a harmonic chirp model, often encountered in speech and music applications. …”
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Adaptable Bandwidth for Harmonic Step-Frequency Radar by Anthony F. Martone, Kyle A. Gallagher, Kelly D. Sherbondy, Kenneth I. Ranney, Traian V. Dogaru, Gregory J. Mazzaro, Ram M. Narayanan

“…A spectrum sensing technique is described which is used to enhance the performance of harmonic step-frequency radar in the presence of harmful radio frequency (RF) interference (RFI). …”
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Investigation of the Composite Motor Load in the Presence of Higher Harmonics in the Electrical Network by Ya. E. Shklyarskiy, K. K. Lobko, Yu. N. Kuznetsova, M. S. Vorobyov

Subjects: “…higher harmonics…”
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Discretized representations of harmonic variables by bilateral Jacobi operators by Andreas Ruffing

“…The Schrödinger operator for a discrete harmonic oscillator is derived. The representation problem for a q-oscillator algebra is studied in detail. …”
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Commuting Toeplitz and Hankel Operators on Harmonic Dirichlet Spaces by Qian Ding, Yong Chen, Yufeng Lu

“…On the harmonic Dirichlet space of the unit disk, the commutativity of Toeplitz and Hankel operators is studied. …”
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On a Subclass of Harmonic Convex Functions of Complex Order by N. Magesh, S. Mayilvaganan

“…We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class. …”
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Lower Estimates for Certain Harmonic Functions in the Half Space by Gang Xu, Xiaoyu Zhou

“…We will give the growth properties of harmonic functions of order greater than one in a half space, which generalize the result obtained by B. …”
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