The switch operators and push-the-button games: A sequential compound over rulesets

The switch operators and push-the-button games: A sequential compound over rulesets

We study operators that combine combinatorial games. This field was initiated by SpragueGrundy (1930s), Milnor (1950s) and Berlekamp-Conway-Guy (1970-80s) via the now classical disjunctive sum operator on (abstract) games. The new class consists in operators for rulesets, dubbed the switch-operators. The ordered pair of rulesets (R1,R2) is compatible if, given any position in R1, there is a des...

A push-button molecular switch.

The preparation, characterization, and switching mechanism of a unique single-station mechanically switchable hetero[2]catenane are reported. The facile synthesis utilizing a "threading-followed-by-clipping" protocol features Cu(2+)-catalyzed Eglinton coupling as a mild and efficient route to the tetrathiafulvalene-based catenane in high yield. The resulting mechanically interlocked molecule op...

The operators over the GIFS

In this paper, newly defined level operators and modal-like operators over extensional generalized intuitionistic fuzzy sets (GIFSB) are proposed. Some of the basic properties of the new operators are discussed.

Commentary: Push–button analyses

the investigation of the relationship between type a and type b personalities and quality of translation

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