Results 31 to 40 of about 557,668 (129)

Every sufficiently large even number is the sum of two primes [PDF]

open access: yes, 2019
The binary Goldbach conjecture asserts that every even integer greater than $4$ is the sum of two primes. In this paper, we prove that there exists an integer $K_\alpha$ such that every even integer $x > p_k^2$ can be expressed as the sum of two primes ...
Barca, Ricardo
core   +2 more sources

Commodity risk assessment of Petunia spp. and Calibrachoa spp. unrooted cuttings from Costa Rica

open access: yesEFSA Journal, Volume 22, Issue 11, November 2024.
Abstract The European Commission requested the EFSA Panel on Plant Health to evaluate the probability of entry of pests (likelihood of pest freedom at entry), including both regulated and non‐regulated pests, associated with unrooted cuttings of the genera Petunia and Calibrachoa produced under physical isolation in Costa Rica.
EFSA Panel on Plant Health (PLH)   +37 more
wiley   +1 more source

Small‐scale distribution of linear patterns of primes

open access: yesJournal of the London Mathematical Society, Volume 110, Issue 4, October 2024.
Abstract Let Ψ=(ψ1,⋯,ψt):`Zd→Rt$\Psi =(\psi _1,\hdots, \psi _t):`\mathbb {Z}^d\rightarrow \mathbb {R}^t$ be a system of linear forms with finite complexity. In their seminal paper, Green and Tao showed the following prime number theorem for values of the system Ψ$\Psi$: ∑x∈[−N,N]d∏i=1t1P(ψi(x))∼(2N)d(logN)t∏pβp,$$\begin{equation*} \sum _{x\in [-N,N]^d}
Mayank Pandey, Katharine Woo
wiley   +1 more source

Quality and stability of frying oils and fried foods in ultrasound and microwave–assisted frying processes and hybrid technologies

open access: yesComprehensive Reviews in Food Science and Food Safety, Volume 23, Issue 4, July 2024.
Abstract Frying is a popular cooking method that produces delicious and crispy foods but can also lead to oil degradation and the formation of health‐detrimental compounds in the dishes. Chemical reactions such as oxidation, hydrolysis, and polymerization contribute to these changes.
Aysun Yurdunuseven Yildiz   +3 more
wiley   +1 more source

Fourier-Reflexive Partitions and MacWilliams Identities for Additive Codes [PDF]

open access: yes, 2013
A partition of a finite abelian group gives rise to a dual partition on the character group via the Fourier transform. Properties of the dual partitions are investigated and a convenient test is given for the case that the bidual partition coincides the ...
Gluesing-Luerssen, Heide
core  

Sifting Function Partition for the Goldbach Problem

open access: yes, 2008
All sieve methods for the Goldbach problem sift out all the composite numbers; even though, strictly speaking, it is not necessary to do so and which is, in general, very difficult. Some new methods introduced in this paper show that the Goldbach problem can be solved under sifting out only some composite numbers.
openaire   +2 more sources

Implications of Ramsey Choice principles in ZF$\mathsf {ZF}$

open access: yesMathematical Logic Quarterly, Volume 70, Issue 2, Page 255-261, May 2024.
Abstract The Ramsey Choice principle for families of n$n$‐element sets, denoted RCn$\operatorname{RC}_{n}$, states that every infinite set X$X$ has an infinite subset Y⊆X$Y\subseteq X$ with a choice function on [Y]n:={z⊆Y:|z|=n}$[Y]^n:= \lbrace z\subseteq Y: |z| = n\rbrace$.
Lorenz Halbeisen   +2 more
wiley   +1 more source

A primordial, mathematical, logical and computable, demonstration (proof) of the family of conjectures known as Goldbach´s [PDF]

open access: yes, 2017
licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.In this document, by means of a novel system model and first order topological, algebraic and geometrical free-­‐context formal language (NT ...
Noheda Marín, Pedro   +1 more
core  

Linking the key physiological functions of essential micronutrients to their deficiency symptoms in plants

open access: yesNew Phytologist, Volume 242, Issue 3, Page 881-902, May 2024.
Summary In this review, we untangle the physiological key functions of the essential micronutrients and link them to the deficiency responses in plants. Knowledge of these responses at the mechanistic level, and the resulting deficiency symptoms, have improved over the last decade and it appears timely to review recent insights for each of them.
Grmay Hailu Lilay   +6 more
wiley   +1 more source

Understanding the role of boron in plant adaptation to soil salinity

open access: yesPhysiologia Plantarum, Volume 176, Issue 3, May/June 2024.
Abstract Soil salinity is a major environmental constraint affecting the sustainability and profitability of agricultural production systems. Salinity stress tolerance has been present in wild crop relatives but then lost, or significantly weakened, during their domestication. Given the genetic and physiological complexity of salinity tolerance traits,
Mei Qu   +6 more
wiley   +1 more source

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