Results 81 to 90 of about 166,015,977 (264)

Extending the Radius of Convergence of the Drinfeld Module Logarithm [PDF]

, 2023
Drinfeld modules are, in essence, a way to create a function field analogue to complex multiplication. With these modules, we can define a logarithm function analogous to the natural logarithm by virtue of a power series.
Clapp, Ethan
core  

Deret Maclaurin Turunan Fraksional Fungsi Inverse Trigonometri dan Radius Kekonverganannya

Jambura Journal of Mathematics
Fractional derivatives are a generalization of ordinary derivatives to non-integer or fractional orders. This study presents the fractional derivatives of inverse trigonometric functions (arcsin, arccos, and arctan) with the order constraint 0 α ≤ 1 ...
Siti Miftahurrohmah Khoirunisa, Hafiz Iqbal Anshori, Eka Mulyawati S. Karim   +2 more
doaj   +1 more source

On a class of efficient higher order Newton-like methods

Mathematical Modelling and Analysis, 2019
Based on a two-step Newton-like scheme, we propose a three-step scheme of convergence order p+2 (p >=3) for solving systems of nonlinear equations. Furthermore, on the basis of this scheme a generalized k+2-step scheme with increasing convergence order p+
Janak Raj Sharma, Deepak Kumar
doaj   +1 more source

Bone‐Inspired Recyclable Composites for Damage‐Tolerant Circular Materials

Advanced Functional Materials, EarlyView.
Bone‐inspired architected composites are developed by combining osteon‐like reinforcements with a recyclable Elium thermoplastic matrix. The hierarchical architecture redirects cracks and promotes energy dissipation, while enabling recovery of intact, aligned, load‐bearing reinforcement units that retain their original stiffness, revealing a route ...
Alessandro Stagni, Nastaran Bahrami Novin, Luigi Benvenuto, Enrico Lertora, Flavia Libonati   +4 more
wiley   +1 more source

Load Distributing Metamaterials Via Discrete Optimization

Advanced Functional Materials, EarlyView.
Mechanical metamaterials are computationally optimized to homogenize transmitted forces by minimizing the spread of reaction forces. The resulting architectures transform localized loading into broader, more uniform force distributions and experimentally demonstrate robust load spreading under quasi‐static and impact loading.
Andrea Detry, Hannes Holey, Raja Zulkarnain, Roberto Guerra, Ilaria Papa, Michael Zaiser, Stefano Zapperi   +6 more
wiley   +1 more source

Thermoresponsive Liquid Crystalline Polymer Coatings Programmed by Field‐Induced Topological Defects for Tunable Optical and Topographical Responses

Advanced Functional Materials, EarlyView.
Resonant standing waves generate large‐area lattices of liquid‐crystal topological defects that are permanently encoded into polymer coatings by photopolymerization. The preserved director architecture produces thermally reconfigurable surface topographies while maintaining programmable optical functionality, demonstrating a scalable strategy for ...
Jacques A. Peixoto, Mufeeduzaman Chavilkkadan, Alexander Fusi, Marko Beslać, Dirk J. Broer, Etienne Brasselet, Danqing Liu   +6 more
wiley   +1 more source

The Minimal Spectral Radius of Graphs with a Given Diameter [PDF]

AMS classsifications: 05C50; 05E99; 94C15;graphs;spectral radius;diameter;networks;virus ...
Kooij, R.E., Dam, E.R. van
core  

On the local convergence and stability analysis of a two-step iterative method for solving non-linear equations

Kuwait Journal of Science
Finding efficient and accurate solutions to non-linear equations is a critical challenge in many scientific and engineering fields. Iterative methods often require a well-chosen initial point to ensure convergence, but determining this point can be ...
Maira Khalid, Saima Akram, Muhammad Ibrahim   +2 more
doaj   +1 more source

Melanin's Role in Balancing Mechanical Strength and Reproductive Output in Environmentally Stressed Fungal Spores

Advanced Functional Materials, EarlyView.
Melanin content directly controls fungal spore mechanical properties, with pigmented spores achieving rupture forces two orders of magnitude higher than hyaline spores. Environmental stress drives this quantity‐quality tradeoff; stressed species invest energy in melanin‐reinforced, mechanically superior thick‐walled, super‐hydrophobic spores, while ...
Atul Agrawal, Steven E. Naleway
wiley   +1 more source

Linear High-Order Distributed Average Consensus Algorithm in Wireless Sensor Networks

EURASIP Journal on Advances in Signal Processing, 2010
This paper presents a linear high-order distributed average consensus (DAC) algorithm for wireless sensor networks. The average consensus property and the convergence rate of the high-order DAC algorithm are analyzed.
Gang Xiong, Shalinee Kishore
doaj   +1 more source