Results 51 to 60 of about 43,755 (258)

Topology of complex polynomials via polar curves [PDF]

Kodai Mathematical Journal, 1999
The authors consider the global polar curves associated with an affine smooth hypersurface \(F\) in \(\mathbb{C}^n\). If \(f\in \mathbb{C}[x_1, \dots,x_n]\) is a polynomial such that the fiber \(F_t:= f^{-1}(t)\) is smooth and connected, the main result computes the Euler characteristic \(\chi(F_t)\) of \(F_t\) in terms of the polar invariants of the ...
Cassou-Noguès, Pierrette, Dimca, Alexandru   +1 more
openaire   +3 more sources

In Situ Characterisation of Hydrogels via Dynamic Interface Printing

Advanced Science, EarlyView.
ABSTRACT Hydrogels have become pivotal materials for tissue engineering, robotics, biomedical devices, and sensing applications due to their diverse material compositions and tunable mechanical properties. While significant effort has focused on developing novel manufacturing approaches such as extrusion bioprinting and light‐based fabrication methods,
Callum Vidler, Michael Halwes, David J. Collins   +2 more
wiley   +1 more source

On upper bounds of the complexity of functions over nonprime finite fields in some classes of polarized polynomials

Известия Иркутского государственного университета: Серия "Математика", 2016
Recently, the interest to polynomial representations of functions over finite fields and over finite rings is being increased. Complexity of those representations is widely studied.
A. Kazimirov, S. Reymerov
doaj  

On Kummer type construction of supersingular K3 surfaces in characteristic 2 [PDF]

, 2007
We show that every supersingular K3 surface in characteristic 2 with Artin invariant less than or equal to 2 is obtained by the Kummer type construction of Schroeer.Comment: 18 pages, to appear in Pacific Journal of ...
Shimada, Ichiro, Zhang, De-Qi
core   +2 more sources

Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System

Advanced Science, EarlyView.
A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu, Bowen Zhu, Shicheng Zhang, Keren Li, Xianchen Wu, Yazhi Pi, Jie Yan, Daigao Chen, Bingli Guo, Xi Xiao, Lei Wang, Xiaochuan Xu, Xuwei Xue, Shanguo Huang, Zizheng Cao, Shaohua Yu   +15 more
wiley   +1 more source

Lower Bound of the Complexity of Functions over Finite Field of Order 4 in the Class of Polarized Polynomials

Известия Иркутского государственного университета: Серия "Математика", 2016
The representations, including polynomial, of functions over final fields have been actively investigated. The complexity of such representations is the main stream of research.
A. Baliuk, A.S. Zinchenko
doaj  

Effects of Quark Spin Flip on the Collins Fragmentation Function in a Toy Model

, 2012
The recent extension of the NJL-jet model to hadronization of transversely polarized quarks allowed the study of the Collins fragmentation function. Both favored and unfavored Collins fragmentation functions were generated, the latter purely by multiple ...
A W Thomas, Aghasyan M, Artru X, Bradamante F (COMPASS Collaboration), Collins J C, H H Matevosyan, W Bentz   +6 more
core   +1 more source

Inequalities for the Polar Derivative of a Polynomial [PDF]

Abstract and Applied Analysis, 2012
For a polynomial p(z) of degree n, we consider an operator Dα which map a polynomial p(z) into Dαp(z): = (α − z)p′(z) + np(z) with respect to α. It was proved by Liman et al. (2010) that if p(z) has no zeros in |z | < 1, then for all α,   β ∈ ℂ with |α | ≥ 1,    | β | ≤ 1 and |z | = 1, |zDαp(z) + nβ((|α | − 1)/2)p(z)|≤(n/2){[|α + β((|α | − 1 ...
openaire   +4 more sources

Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement

Advanced Science, EarlyView.
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang, Xinyuan Ke, Andrew Heath, Richard J. Ball, Jiawei Xie, Jinchen Fan, Guisheng Li, Kevin Paine   +7 more
wiley   +1 more source

Microscale Mapping of Fiber Strain and Damage in Composite Wrinkled Laminates Using Computed Tomography Assisted Wide‐Angle X‐Ray Scattering

Advanced Science, EarlyView.
This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong, James Trevarthen, Igor Dolbnya, Wadwan Singhapong, Nicholas Pilato, Richard Butler, Jiraphant Srisuriyachot, Alexander J. G. Lunt   +7 more
wiley   +1 more source