Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications
In this paper we prove a monotonicity formula for the integral of the mean curvature for complete and proper hypersurfaces of the hyperbolic space and, as consequences, we obtain a lower bound for the integral of the mean curvature and that the integral ...
Alencar, Hilário, Neto, Gregório Silva
core +1 more source
Transforming Cellulose Into Functional Three‐Dimensional Structures
Cellulose is promising for replacing synthetic polymers due to its excellent mechanical properties and low cost. This review highlights the recent advancements in transforming cellulose into functional 3D structures, including liquid gels and porous materials.
Xia Sun+5 more
wiley +1 more source
Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions
In this paper, we prove new complete monotonicity properties of some functions related to generalized k-gamma and k-polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving
Ju-Mei Zhang, Li Yin, Hong-Lian You
doaj +1 more source
A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum [PDF]
In this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sum are founded, and an equivalent relation between the complete monotonicity and one of the class ...
Qi, Feng
core
Tur\'an type inequalities for regular Coulomb wave functions
Tur\'an, Mitrinovi\'c-Adamovi\'c and Wilker type inequalities are deduced for regular Coulomb wave functions. The proofs are based on a Mittag-Leffler expansion for the regular Coulomb wave function, which may be of independent interest.
Baricz, Árpád
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Optical Whispering‐Gallery Mode as a Fingerprint of Magnetic Ordering in Van der Waals Layered CrSBr
A novel nanoscale optomagnetic sensing approach is developed using whispering‐gallery mode resonances in a self‐rolled‐up microcavity. This method enables ultra‐sensitive detection of weak magnetism by correlating resonance shifts with magnetic susceptibility.
Chi Pang+13 more
wiley +1 more source
High Performance Room Temperature Multiferroic Properties of w‐MnSe Altermagnet
Using first‐principles calculations, for the first time the Altermagneto‐Ferroelectric Coupling Effect (AFCE) is proposed, which enables control of both electric polarization and spin splitting in the band structure due to polyhedral rotations. This uncovers robust multiferroicity in wurtzite MnSe at room temperature, offering an exciting route for ...
Djamel Bezzerga, Imran Khan, Jisang Hong
wiley +1 more source
Complete Monotonicity of the Representative Consumer's Discount Factor [PDF]
A univariate real-valued function is said to be completely monotone if it takes positive values and alternate the signs of its higher order derivatives, starting from everywhere negative first derivatives.
Hara, Chiaki
core +3 more sources
The family of Clayton copulas is one of the most widely used Archimedean copulas for dependency measurement. A major drawback of this copula is that when it accounts for negative dependence, the copula is nonstrict and its support is dependent on the ...
Cooray Kahadawala
doaj +1 more source
Conformally Perforated Shellular Metamaterials with Tunable Thermomechanical and Acoustic Properties
This study introduces Conformally Perforated Shellular Metamaterials (CPSMs), which overcome TPMS design limitations by mapping 2D cellular layouts onto 3D surfaces. CPSMs exhibit enhanced elastic stiffness, thermal conductivity, and acoustic performance compared to intact P‐type shellulars, demonstrating their potential as multifunctional ...
Benyamin Shahryari+8 more
wiley +1 more source