Results 51 to 60 of about 865 (232)
On the size of the Shafarevich-Tate group of elliptic curves over function fields [PDF]
, 1997 Let E be a nonconstant elliptic curve, over a global field K of positive, odd characterisitc. Assuming the finiteness of the Shafarevic-Tate group of E, we show that the order of the Shafarevich-Tate group of E, is given by O(N1/2+6log(2)/log(q)), where ...
C. S. RAJAN, Rajan, C. S.
core +1 more source
Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
The perfect power problem for elliptic curves over function fields
, 2016 We generalise the Siegel-Voloch theorem about S-integral points on elliptic curves as follows: let K/ F denote a global function field over a finite field F of characteristic p ≥ 5, let S denote a finite set of places of K and let E/K denote an elliptic ...
Jonathan Reynolds +5 more
core
Advanced Robotics Research, EarlyView.This review identifies key design considerations for insect‐inspired microrobots capable of multimodal locomotion. To draw inspiration, biological and robotic strategies for moving in air, on water surfaces, and underwater are examined, along with approaches for crossing the air–water interface.
Mija Jovchevska +2 more
wiley +1 more source
Advanced Robotics Research, EarlyView.Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
wiley +1 more source
Strategic Design of Soft Actuators in Translational Medical Robotics for Human‐Centered Healthcare
Advanced Robotics Research, EarlyView.Soft robotics enables biocompatible, compliant medical devices, but clinical translation requires design‐driven engineering beyond materials. This perspective reviews implantable, surgical, and wearable systems by actuation mechanism, highlighting how optimized architectures and integration improve mechanical interfacing, adaptability, and durability ...
Ho Jun Jin +3 more
wiley +1 more source
Control theorems for elliptic curves over function fields
, 2009 Let F be a global field of characteristic p>0, \mathcalF/F a Galois extension with Gal(\mathcalF/F) \simeq \Z_p^\mathbbN and E/F a non-isotrivial elliptic curve.
BANDINI, Andrea, A. Bandini, I. Longhi
core +1 more source
Iwasawa Main Conjecture for ordinary semistable elliptic curves over global function fields
33 ...
Tan, Ki-Seng +2 more
openaire +2 more sources
Advanced Science, EarlyView.This study identifies the HDAC6/GATA4/HtrA1 axis as a critical driver of cellular senescence in the inner ear. GATA4 nuclear translocation, facilitated by HDAC6 downregulation, transcriptionally activates HtrA1, promoting hair cell senescence, SASP, and audio‐vestibular dysfunction in models of Ménière's disease and age‐related audio‐vestibular ...
Na Zhang +16 more
wiley +1 more source
, 2022 We investigate some aspects of the $m$-division field $K({\mathcal{E}}[m])$,where $\mathcal{E}$ is an elliptic curve defined over a field $K$ with${\textrm{char}}(K)\neq 2,3$ and $m$ is a positive integer.
Paladino, L. ; https://orcid.org/ +1 more
core +1 more source