Exploring the fruitfulness of diagrams in mathematics
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DOI: 10.1007/s11229-017-1635-1
Abstract: The paper asks whether diagrams in mathematics are particularly fruitful compared to other types of representations. In order to respond to this question a number of examples of propositions and their proofs are considered. In… read more here.
Keywords: mathematics; paper; diagram; exploring fruitfulness ... See more keywords
Venn Diagram with Names of Individuals and Their Absence: A Non-classical Diagram Logic
Sign Up to like & getrecommendations! Published in 2018 at "Logica Universalis"
DOI: 10.1007/s11787-018-0186-7
Abstract: Venn diagram system has been extended by introducing names of individuals and their absence. Absence gives a kind of negation of singular propositions. We have offered here a non-classical interpretation of this negation. Soundness and… read more here.
Keywords: individuals absence; absence; venn diagram; diagram ... See more keywords
Using and abusing Giggenbach ternary Na-K-Mg diagram
Sign Up to like & getrecommendations! Published in 2020 at "Chemical Geology"
DOI: 10.1016/j.chemgeo.2020.119577
Abstract: Abstract In the last decades, a growing number of works has increasingly focused on the study of thermal waters using the approach described by Giggenbach (1988). Based on the dependence on temperature of the equilibrium… read more here.
Keywords: ternary diagram; giggenbach; giggenbach ternary; diagram ... See more keywords
Investigating drivers’ decision zones at high-speed intersections in China based on the acceleration-deceleration diagram
Sign Up to like & getrecommendations! Published in 2020 at "Case studies on transport policy"
DOI: 10.1016/j.cstp.2018.06.006
Abstract: Abstract The objective of this paper is to empirically investigate drivers’ decision zones at the onset of flashing green and yellow indication at rural high-speed intersections in China. 1122 high-resolution trajectories of the first-to-stop and… read more here.
Keywords: speed; decision zones; drivers decision; diagram ... See more keywords
Chasing Aqueous Biphasic Systems from Simple Salts by Exploring the LiTFSI/LiCl/H2O Phase Diagram
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DOI: 10.1021/acscentsci.8b00955
Abstract: Aqueous biphasic systems (ABSs), in which two aqueous phases with different compositions coexist as separate liquids, were first reported more than a century ago with polymer solutions. Recent observations of ABS forming from concentrated mixtures… read more here.
Keywords: phase; aqueous biphasic; diagram; biphasic systems ... See more keywords
Investigating the morphological transitions in an associative surfactant ternary system.
Sign Up to like & getrecommendations! Published in 2022 at "Soft matter"
DOI: 10.1039/d1sm01668g
Abstract: Associative surfactants systems involving polar oils have recently been shown to stabilize immiscible liquids by forming nanostructures at the liquid interface and have been used to print soft materials. Although these associating surfactant systems show… read more here.
Keywords: system; ternary phase; associative surfactant; phase ... See more keywords
Dual role of oxygen-related defects in the luminescence kinetics of AlN:Mn2.
Sign Up to like & getrecommendations! Published in 2022 at "Dalton transactions"
DOI: 10.1039/d2dt02171d
Abstract: This study presents the impact of temperature and pressure on AlN:Mn2+ luminescence kinetics. Unusual behavior of Mn2+ optical properties during UV excitation is observed, where a strong afterglow luminescence of Mn2+ occurs even at low… read more here.
Keywords: aln mn2; role; luminescence kinetics; luminescence ... See more keywords
Landau–Devonshire derived phase diagram of the BiFeO3–PbTiO3 solid solution
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Physics"
DOI: 10.1063/1.5144151
Abstract: Since the construction of the first structural phase diagram of the BiFeO3–PbTiO3 solid solution, there has been ambiguity as to the true location of the morphotropic phase boundary (MPB). In this study, a Landau–Devonshire derived… read more here.
Keywords: diagram bifeo3; pbtio3 solid; diagram; bifeo3 pbtio3 ... See more keywords
Accurata delineatio motuum stellae Martis: How Accurate Is Kepler’s Pretzel Diagram?
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DOI: 10.1086/706936
Abstract: In the first chapter of his Astronomia Nova, Kepler introduced a diagram that, he claimed, represents the path of Mars between 1580 and 1596, assuming a resting Earth. In the words of William H. Donahue,… read more here.
Keywords: accurata delineatio; motuum stellae; kepler; stellae martis ... See more keywords
Validation of the bifurcation diagram in the 2D Ohta–Kawasaki problem
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DOI: 10.1088/1361-6544/aa60e8
Abstract: We develop a rigorous numerical method to compare local minimizers of the Ohta–Kawasaki functional in two dimensions. In particular, we validate the phase diagram identifying regions of parameter space where rolls are favorable, where hexagonally… read more here.
Keywords: ohta kawasaki; diagram ohta; bifurcation diagram; diagram ... See more keywords
Phase diagram of bipartite entanglement
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab3f4e
Abstract: We investigate the features of the entanglement spectrum (distribution of the eigenvalues of the reduced density matrix) of a large quantum system in a pure state. We consider all Renyi entropies and recover purity and… read more here.
Keywords: diagram bipartite; bipartite entanglement; diagram; phase diagram ... See more keywords