Sufficient conditions to determine the linear dependency of two meromorphic functions by Arpita Kundu, Abhijit Banerjee

Subjects: “…meromorphic function…”
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Stress Distribution and Transverse Vibration of Flywheel Within Linear Elastic Range by Desejo Filipeson Sozinando, Kgotso Koketso Leema, Vhahangwele Colleen Sigonde, Bernard Xavier Tchomeni, Alfayo Anyika Alugongo

“…This paper aims to analytically examine the stress distribution of radial and tangential directions along the flywheel structure within a linear elastic range. The eigenvalues and eigenvectors, which are representative of free vibrational features, were extracted by applying finite element analysis (FEA). …”
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Revisiting linearly extended discrete functions by Gravel Claude, Panario Daniel

“…Given a finite field of order qq, any n>m≥0n\gt m\ge 0, the authors described a new way to extend discrete functions with domain size qm{q}^{m} and range size qn−m{q}^{n-m} to a permutation over qn{q}^{n} elements using theory from linear error correcting codes. …”
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Kinetics of oriented crystallization of polymers in the linear stress-orientation range in the series expansion approach by L. Jarecki, R. B. Pecherski

“…The series expansion coefficients are calculated for systems of Gaussian chains in linear stress-orientation range. Oriented crystallization rate functions are determined basing on the ‘proportional expansion’ approach proposed by Ziabicki in the steady-state limit. …”
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On the distribution of unique range sets and its elements over the extended complex plane by S. Mallick

“…These new results have immense applications like classifying different subsets of C to be or not to be a unique range set, exploring the fact that every bi-linear transformation preserves unique range sets for meromorphic functions, providing simpler and shorter proofs of existence of some unique range sets, unfolding the fact that zeros or poles of any meromorphic function lie in a unique range set, in particular, identifying the Fundamental Theorem of Algebra to a more specific region and many more applications. …”
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Addressing Fuzzy Linear Programming Problems Through Ranking Functions by Sozan Saber Haidar

“…The proposed approach involves employing linear ranking functions such as Maleki, Campos, Yager’s F1 and Yager linear ranking functions to solve these fuzzy linear programming (FLP) problems and attain optimal solutions. …”
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Calculation and Measurement of Dielectric Parameters of Ceramic and Ferroelectric Materials in the Microwave Range by V. S. Severikov, Kong Che Fam, V. I. Melnik

“…Linear dielectrics are used as a basis for the substrates of microwave circuits, as well as volumetric elements for the construction of frequency selective or resonant structures that operate across a wide temperature range. …”
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Range Space and Similarity Transformation Using Symbolic Mathematics in Python by Chainarong Wisassakwichai, Prasert Phaochoo

“…The effectiveness of these classes has been validated through numerical results, which, when compared to MATLAB functions (null(), pinv(), sym(), and jordan()), demonstrate that the exact symbolic solutions from both classes significantly improve numerical precision for selected application examples from numerical algorithms, power systems and linear algebra. …”
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Non‐linear activation function approximation using a REMEZ algorithm by Samba Raju Chiluveru, Manoj Tripathy, Bibhudutta

“…Abstract Here a more accurate piecewise approximation (PWA) scheme for non‐linear activation function is proposed. It utilizes a precision‐controlled recursive algorithm to predict a sub‐range; after that, the REMEZ algorithm is used to find the corresponding approximation function. …”
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Passive dendrites enable single neurons to compute linearly non-separable functions. by Romain Daniel Cazé, Mark Humphries, Boris Gutkin

“…To determine if such neurons can also compute linearly non-separable functions, we enumerate, for a given parameter range, the Boolean functions implementable by a binary neuron model with a linear sub-unit and either a single spiking or a saturating dendritic sub-unit. …”
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A Gaussian Process-Enhanced Non-Linear Function and Bayesian Convolution–Bayesian Long Term Short Memory Based Ultra-Wideband Range Error Mitigation Method for Line of Sight and Non-Line of Sight Scenarios by A. S. M. Sharifuzzaman Sagar, Samsil Arefin, Eesun Moon, Md Masud Pervez Prince, L. Minh Dang, Amir Haider, Hyung Seok Kim

“…A GP-enhanced non-linear function is proposed to mitigate the range bias in LOS scenarios. …”
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Range-separated hybrid functionals in full-potential LAPW using adaptively compressed exchange by Jānis Užulis, Aleksandr V. Sorokin, Andris Gulans

“…We present an application of this method in the formalism of linearized augmented plane waves (LAPW) to hybrid functionals with range separation. …”
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Technical review: Time-dependent density functional theory for attosecond physics ranging from gas-phase to solids by Shunsuke A. Sato, Hannes Hübener, Umberto De Giovannini, Angel Rubio

“…Abstract First-principles electron dynamics calculations can be applied in the investigation of a wide range of ultrafast phenomena in attosecond physics. …”
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Functional fatigue of NiTi Shape Memory wires for a range of end loadings and constraints by G. Scirè Mammano, E. Dragoni

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Renal function and linear growth of children with nephrocalcinosis: a retrospective single-center study by Cağla Serpil Doğan, Arife Uslu-Gökçeoğlu, Elif Comak, Emel Alimoğlu, Mustafa Koyun, Sema Akman

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Method for suppressing range sidelobes of bistatic integrated sensing and communication signal based on LFM by JI Chenxing, LI Peng, ZHANG Tianxiang, GAO Yulong

“…In the existing design of ISAC systems based on linear frequency modulation (LFM) signals in bistatic scenarios, issues such as excessively high range sidelobes and severe false target identification arise, primarily because the radar sensing is affected by the embedded communication information. …”
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Quantitative Analysis of Semicrystalline Blends SAXS Data: Theoretical Modeling versus Linear Correlation Function by Mohamed Fatnassi, Fadhel Ben Cheikh Larbi, Jean Louis Halary

“…The second one is a more familiar method, based on the calculation of the linear one-dimensional correlation function. The experimental material considered for this purpose deals with a series of semi-crystalline blends of poly(vinylidene fluoride) and poly(methyl methacrylate), with a PVDF content covering the range 50 wt%–100 wt%. …”
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Linear furanocoumarins: Bridging natural wisdom and synthetic ingenuity in drug discovery by Duha Adnan Hassan, Yasser Fakri Mustafa

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Development and Field Deployment of a Compact Dual-Range Infrared Carbon Dioxide Sensor System by Xiaoteng Liu, Xuehua Xiao, Zhening Zhang, Fang Song, Yiding Wang, Chuantao Zheng

“…A dual-range mid-infrared carbon dioxide (CO₂) sensor is developed with temperature and humidity compensation functionalities. …”
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A tunable encoder with circular dichroism and polarization encoding function based on a layered metastructure in the GHz range by Chuan-Qi Wu, Jun-Yang Sui, Qi Chen, Xing-Zhou Tang, Hai-Feng Zhang

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