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This article shows ways in which Excel can be used to explore the Goldbach Conjecture. We first show an elementary approach in which the Goldbach Comet is constructed by means of a table of values.
John Baker
doaj
Abstract The Goldbach conjecture was proposed by the German mathematician Christian Goldbach around the year 1742, to another well-known mathematician of that time Leonard Euler. The conjecture has been found to hold for all numbers up to 4 x 10⁸ but remains unproven until now.
openaire +1 more source
Understanding Mobility Through Climate Risk Perceptions
Climate change risk perception—shaped by socio‐economic characteristics, climate‐related information and knowledge, cultural and political beliefs and values, and climate change experiences—influences mobility decisions through place attachment, adaptation, and livelihoods.
Kathleen Hermans, Setenay Kizilkaya
wiley +1 more source
Abstract Clostridium perfringens enterotoxin (CpE) causes cytotoxic gastrointestinal disease in mammalian epithelium by binding membrane protein receptors called claudins. Claudins direct the formation of cell/cell tight junctions through oligomerization and govern the transport of molecules between individual cells.
Chinemerem P. Ogbu +5 more
wiley +1 more source
Summary Formation of an aqueous continuum from the leaf surface to the sub‐stomatal cavity is a key process, affecting the foliar entry of solutes, particles, and pathogens. However, the factors controlling the transition from a water droplet to the formation of a continuous water film remain poorly understood.
Max Frank +8 more
wiley +1 more source
HR: A System for Machine Discovery in Finite Algebras [PDF]
We describe the HR concept formation program which invents mathematical definitions and conjectures in finite algebras such as group theory and ring theory.
Bundy, Alan, Colton, S., Walsh, T.
core +1 more source
Simple Barban–Davenport–Halberstam type asymptotics for general sequences
Abstract We prove two estimates for the Barban–Davenport–Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence is sufficiently nice, and is either somewhat sparse or is sufficiently like the integers in its ...
Adam J. Harper
wiley +1 more source
Discovery Systems: From AM to CYRANO [PDF]
The emergence in 1976 of Doug Lenat's mathematical discovery program AM [Len76] [Len82a] was met with suprise and controversy; AM's performance seemed to bring the dream of super-intelligent machines to our doorstep, with amazingly simple methods to boot.
Haase, Ken
core
Geomechanics of Flooding‐Induced Microseismicity—Implications for Post‐Mining Environments
Abstract Seismicity related to mining has gained considerable public attention in the last decades and is one of the reasons for mine closures in Germany. The seismicity in the Ruhr coal mining district of Germany has been monitored by different regional and (temporal) local networks and is classified as purely mining‐induced without evidence for ...
Thomas Niederhuber +7 more
wiley +1 more source
ABSTRACT Emotionally focused couple therapy (EFCT) is an empirically supported treatment for relationship distress. Yet, despite EFCT's substantial evidence base, to date, there have been no studies that have integrated LGBTQ+ clients' experiences and therapeutic needs into the EFCT process.
Caitlin Edwards +2 more
wiley +1 more source

