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Amalgams of free inverse semigroups
We study inverse semigroup amalgams of the form of free
inverse semigroups S,T with core an arbitrary finitely generated inverse subsemigroup of
S and T. We show that the word problem
is decidable for any such amalgam. This is in contrast to the general situation for
semigroup amalgams, where the word problem for a semigroup amalgam is in general undecidable, even if
S and T have decidable word problem, U is a free semigroup, and the membership
problem for U in S and T is decidable. We also obtain a number of results concerning
the structure of such amalgams
Qualcosa in più: l’integrazione come valore aggiunto nel viaggio di apprendimento della matematica
I PROBLEMI IN MATEMATICA E IL SOFTWARE DIDATTICO IN SITUAZIONI DI DIFFICOLTA'DI APPRENDIMENTO
Una consolidata esperienza nell’uso del software didattico,
ricerche nazionali e internazionali su problemi legati
all’apprendimento in matematica con allievi disabili e le
indicazioni per il nuovo Curricolo della Scuola dell’obbligo, ci
spingono a rilanciare la questione dell’insegnamento–
apprendimento della matematica e del legame tra i problemi
e il software dedicato. In particolare analizziamo in questo l’intreccio tra l’insegnamento per problemi, il software
didattico e l’apprendimento in classe in presenza di allievi
con disabilità cognitive, attraverso uno studio attento dei due
software “Alla ricerca della Scimmia Bianca” e “Pago Pago”
prodotti dalla cooperativa Anastasis, Bologna
Going Beyond Counting First Authors in Author Co-citation Analysis
The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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