The concepts of $L$-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism between  $L$-convex systems and Scott-hull spaces. Moreover, it is proved that the category of $L$-convex structures is  bireflective in the category of $L$-convex systems. Furthermore, the quotient systems of $L$-convex systems are studied.

this essay evaluates the major methodological trends in research at the iranian academic educational journals based on scott’s methodological criticism. therefore, the present study sought to examine a small part of iranian educational research in the context of scott's taxonomy, including nine major fallacies: epistemic, homogeneity, causal, essentialist, value free knowledge, prospective, red...

The Scott process of a relational structure M is the sequence of sets of formulas given by the Scott analysis of M . We present axioms for the class of Scott processes of structures in a relational vocabulary τ , and use them to give a proof of an unpublished theorem of Leo Harrington from the 1970’s, showing that a counterexample to Vaught’s Conjecture has models of cofinally many Scott ranks ...

The tools for capturing and sharing photos and videos have exploded to the point of ubiquity. Internet photo collections of popular landmarks now contain over a decade’s worth of photographs; thousands of timelapse scenes are available on video sharing websites; live cameras stream real-time videos of many scenes 24 hours a day; high-resolution images of an entire face of the earth are availabl...

l’influence déterminante de walter scott au moment où toute une génération écrit des romans historiques apparaît surtout dans l’hommage que lui rendent des figures comme balzac ou hugo au xixe siècle. cette influence qu’affirment et saluent également les histoires littéraires, est due essentiellement au renouveau de la conception romanesque du roman historique, genre ancien, mariant fiction et ...