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Investigation of the Roles of Dynamic Geometry Software in Problem Solving Skills and Conjecture Making [PDF]

open access: yesFanāvarī-i āmūzish, 2009
Teaching and learning geometry at secondary level have usually many problems. Researches indicate that use of Dynamic Geometry Software (DGS) can reduce some of these difficulties.
E. Reyhani, H. Mesgarani, F. Farmehr
doaj   +1 more source

On AGT conjecture [PDF]

open access: yes, 2009
In these notes we consider relation between conformal blocks and the Nekrasov partition function of certain $\mathcal{N}=2$ SYM theories proposed recently by Alday, Gaiotto and Tachikawa.
Fateev, V. A., Litvinov, A. V.
core   +4 more sources

A FORMAL PROOF OF THE KEPLER CONJECTURE [PDF]

open access: yesForum of Mathematics, Pi, 2015
This article describes a formal proof of the Kepler conjecture on dense sphere packings in a combination of the HOL Light and Isabelle proof assistants. This paper constitutes the official published account of the now completed Flyspeck project.
T. Hales   +21 more
semanticscholar   +1 more source

Investigations on hoop conjecture for horizonless spherical charged stars

open access: yesNuclear Physics B, 2021
For horizonless spherical stars with uniform charge density, the hoop conjecture was tested based on the interior solution. In this work, we are interested in more general horizonless spherical charged stars.
Yan Peng
doaj   +1 more source

THE BINARY GOLDBACH CONJECTURE

open access: yesJOHME: Journal of Holistic Mathematics Education, 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.
Jan Feliksiak
doaj   +1 more source

Further results on Hendry's Conjecture [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2022
Recently, a conjecture due to Hendry was disproved which stated that every Hamiltonian chordal graph is cycle extendible. Here we further explore the conjecture, showing that it fails to hold even when a number of extra conditions are imposed.
Manuel Lafond   +2 more
doaj   +1 more source

A global view of dynamics and a conjecture on the denseness of finitude of attractors

open access: yesAstérisque, 2018
— A view on dissipative dynamics, i.e. flows, diffeomorphisms, and trans­ formations in general of a compact boundaryless manifold or the interval is presented here, including several recent results, open problems and conjectures.
J. Palis
semanticscholar   +1 more source

Ontology of The Possible: on the Structure of the Object

open access: yesOpen Philosophy, 2018
This paper, through a realist reading of Husserlian phenomenology, aims to explain how the consciousness-sense has access to reality and, in general, to objectivity.
Armogida Giuseppe
doaj   +1 more source

Evidence for a sublattice weak gravity conjecture [PDF]

open access: yes, 2016
A bstractThe Weak Gravity Conjecture postulates the existence of superextremal charged particles, i.e. those with mass smaller than or equal to their charge in Planck units.
B. Heidenreich, M. Reece, Tom Rudelius
semanticscholar   +1 more source

Spaces of Graphs, Boundary Groupoids and the Coarse Baum-Connes Conjecture

open access: yes, 2013
We introduce a new variant of the coarse Baum-Connes conjecture designed to tackle coarsely disconnected metric spaces called the boundary coarse Baum-Connes conjecture.
Birget   +24 more
core   +1 more source

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