Results 11 to 20 of about 557,668 (129)

Vectorizing and distributing number‐theoretic transform to count Goldbach partitions on Arm‐based supercomputers

Concurrency and Computation: Practice and Experience, 2023
SummaryIn this article, we explore the usage of scalable vector extension (SVE) to vectorize number‐theoretic transforms (NTTs). In particular, we show that 64‐bit modular arithmetic operations, including modular multiplication, can be efficiently implemented with SVE instructions.
Ricardo Jesus, Tomás Oliveira e Silva, Michèle Weiland   +2 more
openaire   +3 more sources

Conditional emotions

Philosophical Perspectives, Volume 37, Issue 1, Page 145-163, December 2023., 2023
Abstract Some conditional involving factive emotives present a prima facie challenge to the thesis that conditionals obey modus ponens. Drawing on recent work by Timothy Williamson, I offer an error‐theoretic diagnosis of the phenomenon, one that appeals to a heuristic that we use in suppositional reasoning.
Christina Hope Dietz
wiley   +1 more source

Leaf surface features of maize cultivars and response to foliar phosphorus application: effect of leaf stage and plant phosphorus status

Physiologia Plantarum, Volume 175, Issue 6, November/December 2023., 2023
Abstract Soil phosphorus (P) application is the most common fertilisation technique but may involve constraints due to chemical fixation and microbial immobilisation. Furthermore, excessive P fertilisation leads to P runoff into water bodies, threatening ecosystems, so targeted foliar P fertilisation is an interesting alternative.
Jon Niklas Henningsen, Martin David Venturas, José Manuel Quintero, Ramiro Recena Garrido, Karl Hermann Mühling, Victoria Fernández   +5 more
wiley   +1 more source

The Prime Sequence: Demonstrably Highly Organized While Also Opaque and Incomputable—With Remarks on Riemann’s Hypothesis, Partition, Goldbach’s Conjecture, Euclid on Primes, Euclid’s Fifth Postulate, Wilson’s Theorem along with Lagrange’s Proof of It and Pascal’s Triangle, and Rational Human Intell

, 2014
The main design of this paper is to determine once and for all the true nature and status of the sequence of the prime numbers, or primes—that is, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and so on.
L. Depuydt
semanticscholar   +1 more source

Fractal in the statistics of Goldbach partition

, 2006
Some interesting chaos phenomena have been found in the difference of prime numbers. Here we discuss a theme about the sum of two prime numbers, Goldbach conjecture. This conjecture states that any even number could be expressed as the sum of two prime numbers.
Liang, Wang, Yan, Huang, Zhi-cheng, Dai
openaire   +2 more sources

Empirical Significance, Predictive Power, and Explication [PDF]

, 2017
Criteria of empirical significance are supposed to state conditions under which (putative) reference to an unobservable object or property is “empirically meaningful.” The intended kind of empirical meaningfulness should be necessary for admissibility ...
Surovell, Jonathan/R
core   +1 more source

Achieving quantum advantage in a search for a violations of the Goldbach conjecture, with driven atoms in tailored potentials

SciPost Physics Core
The famous Goldbach conjecture states that any even natural number $N$ greater than $2$ can be written as the sum of two prime numbers $p^{\text{(I)}}$ and $p^{\text{(II)}}$.
Oleksandr V. Marchukov, Andrea Trombettoni, Giuseppe Mussardo, Maxim Olshanii
doaj   +1 more source

Partitions of even numbers

, 2017
This article presents the concept of the Partitioned Matrix of even numbersw≥ 4 and a set of formulas for determining the values of the three possible types of partition: odd composi te numbers ( Cw), prime numbers or Goldbach partitions ( Gw) and ...
Manuel Meireles
semanticscholar   +1 more source

Effects of temporal and spatial variability in energy fluxes on phytoplankton

Limnology and Oceanography, Volume 71, Issue 1, January 2026.
Abstract Climate change has significantly altered the energy dynamics of lakes; however, little is known of how the temporal and spatial variation in energy fluxes impacts the structure and function of lake ecosystems. This study combined long‐term (2011–2018) measurements of lake energy fluxes with environmental, nutrient, and phytoplankton data at ...
Jian Zhou, Changchun Huang, Guonian Lü, Kun Shi, Peter R. Leavitt   +4 more
wiley   +1 more source

Thirty-two Goldbach Variations

, 2005
We give thirty-two diverse proofs of a small mathematical gem--the fundamental Euler sum identity zeta(2,1)=zeta(3) =8zeta(\bar 2,1). We also discuss various generalizations for multiple harmonic (Euler) sums and some of their many connections, thereby ...
Abramowitz M., Apostol T. M., Bailey W. N., Borwein D., Borwein J., Borwein J. M., Borwein J. M., Borwein J. M., Borwein J. M., Borwein J. M., Briggs W. E., Briggs W. E., Bruckman P. S., Chu W., DAVID M. BRADLEY, Drinfel'd V. G., Dunham William, Espinosa O., Euler L., Euler L., Georghiou C., Graham R. L., Havel J., JONATHAN M. BORWEIN, Juskevic A. P., Kummer E. E., Lewin L., Nielsen N., Nielsen N., Sitaramachandrarao R., Tenenbaum G.   +30 more
core   +1 more source