Results 21 to 30 of about 61,568 (111)

On Partitions of Goldbach's Conjecture

, 2000
An approximate formula for the partitions of Goldbach's Conjecture is derived using Prime Number Theorem and a heuristic probabilistic approach. A strong form of Goldbach's conjecture follows in the form of a lower bounding function for the partitions of Goldbach's conjecture.
openaire   +2 more sources

Effects of Phosphorus Deficiency on Leaf Surface Morphology: Absorption and Translocation of Foliar‐Applied Phosphorus in Four Barley Cultivars

Physiologia Plantarum, Volume 177, Issue 3, May/June 2025.
ABSTRACT Plant nutrient deficiencies can modify leaf surface properties and may affect the absorption of foliar fertilisers. This study examined how plant P‐deficiency modified the adaxial leaf surface morphology of four barley cultivars and whether these modifications could be linked to quantitative differences in foliar‐applied P absorption.
Maja Arsic, Nicholas R. Howell, Tom Cresswell, Gianluca Brunetti, Søren Husted, Jan Kofod Schjoerring, Daniel P. Persson, Enzo Lombi, Casey L. Doolette   +8 more
wiley   +1 more source

A Novel Framework for Estimating the Bowen Ratio Over Small Water Bodies

Hydrological Processes, Volume 39, Issue 2, February 2025.
This study presents a new framework to estimate the Bowen ratio over small water bodies by combining laboratory experiments and theoretical modelling. It explores the impact of water surface flows and wind speeds under three scenarios: no wind, tailwind (wind aligned with the water surface flow), and headwind (wind opposing the water surface flow ...
Amir Rezazadeh, Pooria Akbarzadeh, Mohammad Mohsen ShahMardan, Milad Aminzadeh   +3 more
wiley   +1 more source

Legacies of Past Land Use: Mapping Anthropogenic Landforms in Forest Areas of Eastern Bavaria, Germany

Geoarchaeology, Volume 40, Issue 1, January/February 2025.
ABSTRACT Reconstructing (pre‐)historic land use distribution is essential for understanding past human societies and their impacts on the environment. Various land use forms result in distinct alterations of surface morphology, which are often well preserved but rarely described within forest areas. The interpretation of LiDAR Digital Elevation Models (
Anna Schneider, Thomas Raab, Alexandra Raab, Alexander Bonhage   +3 more
wiley   +1 more source

THE BINARY GOLDBACH CONJECTURE [PDF]

, 2021
The Goldbach Conjecture, one of the oldest problems in mathematics, has fascinated and inspired many mathematicians for ages. In 1742 German mathematician Christian Goldbach, in a letter addressed to Leonhard Euler, proposed a conjecture.
Feliksiak, Jan
core   +1 more source

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

EFSA 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), Antonio Vicent Civera, Paula Baptista, Anna Berlin, Elisavet Chatzivassiliou, Jaime Cubero, Nik Cunniffe, Eduardo de la Peña, Nicolas Desneux, Francesco Di Serio, Anna Filipiak, Paolo Gonthier, Beata Hasiów‐Jaroszewska, Hervé Jactel, Blanca B. Landa, Lara Maistrello, David Makowski, Panagiotis Milonas, Nikos T. Papadopoulos, Hanna Susi, Dirk Jan van der Gaag, Jane Debode, Christophe Lacomme, Charles Manceau, Christer Sven Magnusson, Juan A. Navas‐Cortes, Christos Kritikos, Maria Kormpi, Dimitrios Papachristos, Chrysavgi Reppa, Olaf Mosbach Schulz, Ciro Gardi, Chiara Civitelli, Raghavendra Reddy Manda, Antigoni Akrivou, Spyridon Antonatos, Despoina Beris, Roel Potting   +37 more
wiley   +1 more source

A progress on the binary Goldbach conjecture [PDF]

In this paper we develop the method of circle of partitions and associated statistics. As an application we prove conditionally the binary Goldbach conjecture. We develop series of steps to prove the binary Goldbach conjecture in full.
Agama, Theophilus
core   +1 more source

Small‐scale distribution of linear patterns of primes

Journal 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

Comprehensive 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, Noemí Echegaray, Sebahat Öztekin, José Manuel Lorenzo   +3 more
wiley   +1 more source

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

Mathematical 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, Riccardo Plati, Saharon Shelah   +2 more
wiley   +1 more source