Results 41 to 50 of about 16,319,095 (224)
On Isogeny Graphs of Supersingular Elliptic Curves over Finite Fields [PDF]
, 2019 We study the isogeny graphs of supersingular elliptic curves over finite fields, with an emphasis on the vertices corresponding to elliptic curves of $j$-invariant 0 and ...
Alfred Menezes, Gora Adj, Omran Ahmadi
core +1 more source
No 17-torsion on elliptic curves over cubic number fields [PDF]
, 2003 International audienceWe complete our previous determination of the torsion primes of elliptic curves over cubic number fields, by showing that 17 is not one of ...
Parent, Pierre
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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
Multiplication polynomials and relative Manin-Mumford [PDF]
, 2015 After the introduction we prove in chapter 2 that the resultant of the standard multiplication polynomials $A_n,B_n$ of an elliptic curve in the form $y^2 = x^3+ax+b$ is $(16\Delta)^{{n^2(n^2-1) \over 6}}$, where $\Delta=-(4a^3+27b^2)$ is the ...
Schmidt, Harry
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Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics
Advanced Science, EarlyView.The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet +8 more
wiley +1 more source
Heights on elliptic curves over number fields, period lattices, and complex elliptic logarithms [PDF]
This thesis presents some major improvements in the following computations: a lower bound for the canonical height, period lattices, and elliptic logarithms.
Thongjunthug, Thotsaphon
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Advanced Science, EarlyView.Glaucoma, a major cause of blindness, involves retinal ganglion cell (RGC) degeneration. This study shows growth hormone‐releasing hormone receptor (GHRHR) deficiency preserves RGC survival and restores vision, unlike activation which only aids survival.
Yan Tong +24 more
wiley +1 more source
Elliptic curves over finite fields [PDF]
, 2018 In this thesis, we study the theory of elliptic curves, with the main focus on elliptic curves over finite fields. We present basic theory, taking several technical aspects into consideration (singularity of the curve, effect of field characteristic on ...
Beran, Adam
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Advanced Science, EarlyView.ABSTRACT Methane's efficient catalytic removal is vital for sustainable development. Bimetallic catalysts, though promising for methane activation, pose a design challenge due to their complex compositional space. This work introduces an integrated framework that combines high‐throughput density functional theory (DFT) and interpretable machine ...
Mingzhang Pan +8 more
wiley +1 more source