We provide upper and lower bounds in consistency strength for the theories “ZF + ¬ACω + All successor cardinals except successors of uncountable limit cardinals are regular + Every uncountable limit cardinal is singular + The successor of every uncountable limit cardinal is singular of cofinality ω” and “ZF + ¬ACω + All successor cardinals except successors of uncountable limit cardinals are re...

We establish a coloring theorem for successors of singular cardinals, and use it prove that for any such cardinal μ, we have μ+ 9 [μ+]2 μ+ if and only if μ+ 9 [μ]θ for arbitrarily large θ < μ.

This article explores the impact of highly improbable in a transgenerational succession Malaysian Chinese family business. Through an exploratory case study business, Black Swan was identified, arising from unexpected changes Findings show that predecessor did not expect his children; successors, to take over as successors were being groomed pursue professional careers. twist events, able and m...

ABSTRACT This paper examines the astronomical theory of ice ages James Croll (1821–1890), its influence on contemporaries John Tyndall, Charles Lyell, and Darwin, subsequent development climate change science, giving special attention to work Svante Arrhenius, Nils Ekholm, G. S. Callendar (for carbon dioxide theory), Milutin Milanković theory). Croll's insight that orbital elements triggered fe...

In explicit state (enumerative) model checking, state vectors are often represented in a compressed form in order to reduce storage needs, typically employing fingerprints, bithashes, or state signatures. When using this kind of techniques, it could happen that the compressed image of a nonvisited state s matches that of a visited state s′ 6= s, thus s and potentially many of its descendants ar...