Harvey, David Van Der Hoeven, Joris

Assuming a widely-believed hypothesis concerning the least prime in an arithmetic progression, we show that two n-bit integers can be multiplied in time O(n log n) on a Turing machine with a finite number of tapes; we also show that polynomials of degree less than n over a finite field F_q with q elements can be multiplied in time O(n log q log(n l...

Harvey, David Van Der Hoeven, Joris

Assuming a widely-believed hypothesis concerning the least prime in an arithmetic progression, we show that two n-bit integers can be multiplied in time O(n log n) on a Turing machine with a finite number of tapes; we also show that polynomials of degree less than n over a finite field F_q with q elements can be multiplied in time O(n log q log(n l...

Havet, Frédéric Mazauric, Dorian Nguyen, Viet-Ha Watrigant, Rémi

Let G and H be respectively a graph and a hypergraph defined on a same set of vertices, and let F be a fixed graph. We say that G F -overlays a hyperedge S of H if F is a spanning subgraph of the subgraph of G induced by S, and that it F -overlays H if it F -overlays every hyperedge of H. Motivated by structural biology, we study the computational ...

Minjarez-Sosa, Carlos Waissman, Julio Castro, Christopher L. Adams, David

Lightning and deep convective precipitation have long been studied as closely linked variables, the former being viewed as a proxy, or estimator, of the latter. However, to date, no single methodology or algorithm exists for estimating lightning-derived precipitation in a gridded form. This paper, the third in a series, details the specific algorit...

Sokolov, Sergei Zhilenkov, Anton Chernyi, Sergei Nyrkov, Anatoliy Mamunts, David

This paper deals with the methods for investigating the nonlinear dynamics of discrete chaotic systems (DCS) applied to piecewise linear systems of the third order. The paper proposes an approach to the analysis of the systems under research and their improvement. Thus, effective and mathematically sound methods for the analysis of nonlinear motion...

Sun, Susan Isaya Crossland, Andrew Frederick Chipperfield, Andrew John Wills, Richard George Andrew

: to charge the battery when the grid emissions intensity is low and to discharge when it is high. It was found that the CO2 saved relative to the same system with PV only can more than pay back the CO2 debt of manufacturing the battery. This is true as long as the UK moves away from the present-day situation where natural gas-fired generators are ...

Boahen, Samuel Lee, Kwang Ho Choi, Jong Min

1.1% in cooling mode and heating mode respectively.

Oppenheimer, Julia Ojo, Oluwafemi Antonetty, Annalee Chiujdea, Madeline Garcia, Stephanie Weas, Sarah Loddenkemper, Tobias Fleegler, Eric Chan, Eugenia

0.001] within 90 days prior to an alert. The trigger algorithm facilitated timely changes in the care plan in between face-to-face visits.

LEE, SUHYOUNG LEE, IN BEUM Han, Jeehoon

1

Overland, Indra Juraev, Javlon

s appendix. The proposed methodology is suitable for use across a range of social science disciplines, especially economics, sociology, and political science.