Results 31 to 40 of about 284,852 (62)
The Counting function for Elkies primes [PDF]
Let $E$ be an elliptic curve over a finite field $\mathbb{F}_q$ where $q$ is a prime power. The Schoof--Elkies--Atkin (SEA) algorithm is a standard method for counting the number of $\mathbb{F}_q$-points on $E$. The asymptotic complexity of the SEA algorithm depends on the distribution of the so-called Elkies primes.
arxiv
Abstract Direct geological information in Antarctica is limited to ice free regions along the coast, high mountain ranges, or isolated nunataks. Therefore, indirect methods are required to reveal subglacial geology and heterogeneities in crustal properties, which are critical steps toward interpreting geological history.
Maximilian Lowe+7 more
wiley +1 more source
Glacier Surges Controlled by the Close Interplay Between Subglacial Friction and Drainage
Abstract The flow of glaciers and ice sheets is largely influenced by friction at the ice‐bed interface that can trigger rapid changes in glacier motion ranging from seasonal velocity variations to cyclic surge instabilities or even devastating glacier collapse.
Kjetil Thøgersen+3 more
wiley +1 more source
The influence of different melt composition and hence of the adjusting phase fractions on the growth of eutectic colonies is investigated in two‐ and three‐dimensional (3D) large‐scale simulations with up to 3 × 109 cells for a specially designed model systems N‐xA‐yC, which is generated on the basis of the high performance material NiAl‐34Cr.
Michael Kellner+2 more
wiley +1 more source
Using zeta functions to factor polynomials over finite fields [PDF]
In 2005, Kayal suggested that Schoof's algorithm for counting points on elliptic curves over finite fields might yield an approach to factor polynomials over finite fields in deterministic polynomial time. We present an exposition of his idea and then explain details of a generalization involving Pila's algorithm for abelian varieties.
arxiv
Abstract Over the last 3.3 million years, the Antarctic Ice Sheet (AIS) has undergone phases of ice sheet growth and decay, impacting sea level and climate globally. Presently, the largely marine‐terminating AIS loses mass primarily by iceberg calving and basal melt of ice shelves. Quantifying past rates and timing of AIS melt is vital to understanding
Claire E. Jasper+5 more
wiley +1 more source
Abstract Projecting future climate variables is essential for comprehending the potential impacts on hydroclimatic hazards like floods and droughts. Evaluating these impacts is challenging due to the coarse spatial resolution of global climate models (GCMs); therefore, bias correction is widely used.
Leila Rahimi+8 more
wiley +1 more source
Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication [PDF]
Schoof's classic algorithm allows point-counting for elliptic curves over finite fields in polynomial time. This algorithm was subsequently improved by Atkin, using factorizations of modular polynomials, and by Elkies, using a theory of explicit isogenies.
arxiv
Salmonella‐driven intestinal edema in mice is characterized by tensed fibronectin fibers
Salmonella‐induced intestinal inflammation elicits diverse tissue morphology alterations, notably submucosal edema formation through fluid accumulation in the interstitial space. Our study underscores the significance of extracellular matrix components in preserving tissue integrity during acute inflammation.
Ronja Rappold+4 more
wiley +1 more source
Acute psychosocial stress modulates neural and behavioral substrates of cognitive control
We showed enhancements in performance on a cognitive control task following exposure to an acute psychosocial stressor. Additionally, using multivariate pattern analysis of fMRI data, we showed stress‐related differences in activation patterns within regions associated with visuomotor coordination—a skill central to successful cognitive control ...
Chrystal Spencer+5 more
wiley +1 more source