We give a deterministic polynomial-time algorithm that computes a nontrivial rational point
on an elliptic curve over a finite field, given a Weierstrass equation for the curve. For this, we …

Family physicians in Cuba and the United States operate within very different health systems.
Cuba’s health system is notable for achieving developed country health outcomes despite …

Given sets L 1 , ..., L k of elements from , the k-set birthday problem is to find an element
from each list such that their sum is 0 modulo m. We give a new analysis of the algorithm in [16], …

We have constructed a Carmichael number with 10,333,229,505 prime factors, and have
also constructed Carmichael numbers with $ k $ prime factors for every $ k $ between 3 and …

NASA's Kepler Space Telescope was designed to determine the frequency of Earth-sized
planets orbiting Sun-like stars, but these planets are on the very edge of the mission's …

We present a method to reconstruct the initial linear-regime matter density field from the late-time
non-linearly evolved density field in which we channel the output of standard first-order …

We provide a new algorithm for tabulating composite numbers which are pseudoprimes to
both a Fermat test and a Lucas test. Our algorithm is optimized for parameter choices that …

Objective We evaluated the influence of the renin–angiotensin system (RAS) on intestinal
inflammation and fibrosis. Design Cultured human colonic myofibroblast proliferation and …

Increasing the batch size is a popular way to speed up neural network training, but beyond
some critical batch size, larger batch sizes yield diminishing returns. In this work, we study …

For years, scientists have used data from NASA's Kepler Space Telescope to look for and
discover thousands of transiting exoplanets. In its extended K2 mission, Kepler observed stars …