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Carla FIORI

Professore Associato presso: Dipartimento di Scienze Fisiche, Informatiche e Matematiche sede ex-Matematica


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Pubblicazioni

2020 - Transperitoneal vs retroperitoneal minimally invasive partial nephrectomy: comparison of perioperative outcomes and functional follow-up in a large multi-institutional cohort (The RECORD 2 Project) [Articolo su rivista]
Porpiglia, F.; Mari, A.; Amparore, D.; Fiori, C.; Antonelli, A.; Artibani, W.; Bove, P.; Brunocilla, E.; Capitanio, U.; Da Pozzo, L.; Di Maida, F.; Gontero, P.; Longo, N.; Marra, G.; Rocco, B.; Schiavina, R.; Simeone, C.; Siracusano, S.; Tellini, R.; Terrone, C.; Villari, D.; Ficarra, V.; Carini, M.; Minervini, A.; Altieri, V.; Berardinelli, F.; Celia, A.; Costantini, E.; Diminutto, A.; Falsaperla, M.; Ferro, M.; Furlan, M.; Grosso, G.; Larcher, A.; Li Marzi, V.; Montorsi, F.; Polara, A.; Porreca, A.; Rizzetto, R.; Roscigno, M.; Schips, L.; Selli, C.; Serni, S.; Simonato, A.; Trombetta, C.; Vespasiani, G.; Volpe, A.
abstract

Background: Aim of this study was to evaluate and compare perioperative outcomes of transperitoneal (TP) and retroperitoneal (TR) approaches in a multi-institutional cohort of minimally invasive partial nephrectomy (MI-PN). Material and methods: All consecutive patients undergone MI-PN for clinical T1 renal tumors at 26 Italian centers (RECORd2 project) between 01/2013 and 12/2016 were evaluated, collecting the pre-, intra-, and postoperative data. The patients were then stratified according to the surgical approach, TP or RP. A 1:1 propensity score (PS) matching was performed to obtain homogeneous cohorts, considering the age, gender, baseline eGFR, surgical indication, clinical diameter, and PADUA score. Results: 1669 patients treated with MI-PN were included in the study, 1256 and 413 undergoing TP and RP, respectively. After 1:1 PS matching according to the surgical access, 413 patients were selected from TP group to be compared with the 413 RP patients. Concerning intraoperative variables, no differences were found between the two groups in terms of surgical approach (lap/robot), extirpative technique (enucleation vs standard PN), hilar clamping, and ischemia time. Conversely, the TP group recorded a shorter median operative time in comparison with the RP group (115 vs 150 min), with a higher occurrence of intraoperative overall, 21 (5.0%) vs 9 (2.1%); p = 0.03, and surgical complications, 18 (4.3%) vs 7 (1.7%); p = 0.04. Concerning postoperative variables, the two groups resulted comparable in terms of complications, positive surgical margins and renal function, even if the RP group recorded a shorter median drainage duration and hospital length of stay (3 vs 2 for both variables), p < 0.0001. Conclusions: The results of this study suggest that both TP and RP are feasible approaches when performing MI-PN, irrespectively from tumor location or surgical complexity. Notwithstanding longer operative times, RP seems to have a slighter intraoperative complication rate with earlier postoperative recovery when compared with TP.


2012 - Dalle frazioni continue alla trascendenza di pigreco. Centocinquant'anni di matematica «dimenticata» [Monografia/Trattato scientifico]
Gabriella, Caristi; Fiori, Carla; Sergio, Invernizzi
abstract

Numeri quali Ö2 e p sono noti fin dall'antichità e sono noti a tutti perché s'incontrano già nella scuola dell'obbligo, ma pochi conoscono gli studi e le ricerche che hanno portato a scoprire la loro natura matematica. Il libro ripercorre il periodo storico fondamentale di questi studi; presenta una trattazione, completa nelle dimostrazioni e ricca di esempi numerici, che porta all'irrazionalità del numero di Nepero e di p alla loro trascendenza. In questo percorso, arricchito di note storiche, si passa attraverso la "trascurata" teoria delle frazioni continue, di cui si sottolineano i legami con l'approssimazione diofantea, presentando anche un'interpretazione delle regole di taluni calendari civili. Lo stimolo a scrivere di questa matematica elementare spesso "dimenticata" nasce dalle riflessioni seguite alla stesura del volume "Numeri reali," pubblicato nel 2009 in questa stessa collana.


2010 - Computing the automorphic chromatic index of certain snarks [Articolo su rivista]
Fiori, Carla; Mazzuoccolo, Giuseppe; Ruini, Beatrice
abstract

The automorphic H-chromatic index of agraph G is the minimum integer m for which G has aproper edge-coloring with m colors which is preserved by the fullautomorphism group H of G. We determine the automorphic H-chromatic index of eachmember of four infinite classes of snarks: type I Blanu\v{s}asnarks, type II Blanu\v{s}a snarks, Flower snarks and Goldbergsnarks.


2010 - On the automorphic chromatic index of a graph [Articolo su rivista]
Fiori, Carla; Mazzuoccolo, Giuseppe; Ruini, Beatrice
abstract

In this paper we define the automorphic H-chromatic index of agraph G as the minimum integer m for which G has aproper edge-coloring with m colors which is preserved by a given automorphism group H of G. After the description of some properties, we determine upper bounds for this indexwhen H is a cyclic group of prime order. We also show that these upper bounds are best possible in a number of istances.


2010 - SOME INFINITE CLASSES OF ASYMMETRICNEARLY HAMILTONIAN SNARKS [Articolo su rivista]
Fiori, Carla; Ruini, Beatrice
abstract

We determine the full automorphism group of each member of threeinfinite families of connected cubic graphs which are snarks. A graph issaid to be nearly hamiltonian if it has a cycle which contains all verticesbut one. We prove, in particular, that for every possible order n > 28 thereexists a nearly hamiltonian snark of order n with trivial automorphismgroup.


2009 - I numeri reali [Monografia/Trattato scientifico]
Fiori, Carla; S., Invernizzi
abstract

Vengono presentati unitariamente i principali metodi per definire i numeri reali, si ripropongono le dimostrazioni classiche ma anche contributi nuovi. Viene esposta una rivisitazione comparativa e critica della teoria dei numeri reali fornendo altresì spunti di riflessione.


2009 - La Società dei Naturalisti e Matematici di Modena e Charles Darwin [Prefazione o Postfazione]
Fiori, Carla
abstract


2008 - Charles Darwin 1809-1859-2009 [Articolo su rivista]
Fiori, Carla; Tosatti, Giovanni
abstract

La presente nota sottolinea il forte legame fra la Società dei Naturalisti e Matematici di Modena, la città di Modena e il pensiero di Charles Darwin. Viene evidenziato in particolare il ruolo svolto dalla Società nella diffusione del darwinismo in Italia. Sono infine brevemente commentati gli articoli su Darwin e il darwinismo pubblicati in questa sezione del volume 139 degli Atti.


2008 - Infinite classes of dihedral snarks [Articolo su rivista]
Fiori, Carla; Ruini, Beatrice
abstract

Flower snarks and Goldberg snarks are two infinite families of cyclically 5-edge-connected cubic graphs with girth at least five and chromatic index four. For any odd integer k, k>3, there is a Flower snark, say J_k, of order 4k and a Goldberg snark, say B_k, of order 8k. We determine the automorphic groups of J_k and B_k for every k and prove that they are isomorphic to the dihedral group D_4k of order 4k.


2005 - An Experimental Research on Error Patterns in written subtraction [Articolo su rivista]
Fiori, Carla; L., Zuccheri
abstract

Pupils' mistakes, if suitably analysed, may give useful suggestions for improving the teaching/learning process of mathematics. We present here the main issues of an investigation on a population of 732 italian pupils, addressed to determine the tipology of errors in performing written subtraction. We compared our results with those emerging from a study carried out in Brazil on pupils of the same age, concerning the errors in performing the usual algorithm of written subtraction.


2004 - La preparazione degli studenti di Ingegneria e Economia dopo gli esami di matematica di base [Articolo su rivista]
Fiori, Carla; Lalla, Michele; Pacchiarotti, Nicoletta
abstract

Mathematics represents the basic language for all quantitative disciplines, therefore its learning is fundamental in many fields and it is interesting to verify how basic concepts may be lost as time passes. We carried out a survey between students attending courses of the third year and over, in the Faculty of Engineering and in the Faculty of Economics, assigning them a test containing items about the elementary concepts of Mathematics. The results show that students in the Faculty of Engineering know the mathematical concepts better than those in the Faculty of Economics. However, considering the differences between the two Faculties, the gap is lower than what appears from the outcomes of the test. The structure of the model representing the influences of the explanatory variables on the outcome of the test (score test) is similar in the two Faculties. In particular, the more predictive factors are the high school score and the number of Mathematics exams already passed at the University. The time elapsed since the last Mathematics exam does not show any peculiar influence on the test score. However, at the Faculty of Engineering, there was a weak concurrent action of this time with other variables, which incorporate its influence. The correlation between the time elapsed since the last Mathematics exam and the score of the test was always negative, as expected.


2004 - La preparazione degli studenti di Ingegneria e Economia dopo gli esami di matematica di base [Working paper]
FIORI, Carla; LALLA, Michele; PACCHIAROTTI, Nicoletta
abstract

The study of mathematics is essential in many fields as it is the basic language shared by all quantitative disciplines. Therefore, it is interesting to ascertain at what extent the basic concepts may be lost over time. We carried out a survey on students attending third-year courses and over, in the Faculty of Engineering and in the Faculty of Economics, administering a test containing items pertaining to elementary concepts of Mathematics. The results showed that students in the Faculty of Engineering had a better grasp of the mathematical concepts than those in the Faculty of Economics. However, considering the differences between the two Faculties, the gap was actually narrower than what the test results would first lead us to believe. The structure of the model representing the influences of the explanatory variables on the outcome of the test (test score) was similar for both Faculties. In particular, the more predictive factors were high school scores and the number of Mathematics exams already passed at the University. The time elapsed since the last Mathematics exam did not show any particular influence on test scores. However, among the Engineering students, the time elapsed demonstrated a weak concurrent action with other variables, «incorporating» its influence. The correlation between the time elapsed since the last Mathematics exam and the test score was always negative, as expected.


2000 - Comportamenti di studenti in ingresso all'Università di fronte allo studio di disequazioni. [Articolo su rivista]
Malara, Nicolina Antonia; Brandoli, Maria Teresa; Fiori, Carla
abstract

Si presentano alcuni risultati di test somministrati a studenti universitari, in ingresso all'universita', riguardanti lo studio di disequazioni, per indagare, al di là delle competenze tecniche, la loro capacità di interpretazione e controllo del significato delle disequazioni proposte, e del ruolo del(dei) parametro(i) presenti. Dall'analisi dei protocolli degli allievi emergono diffuse lacune concettuali, parecchie risalenti alla scuola dell'obbligo, atteggiamenti di tipo procedurale e stereotipati, assenza di controllo dei significati delle scritture algebriche, scarso coordinamento tra i vari registri di rappresentazione con particolare riferimento agli aspetti logici del linguaggio verbale nell'intreccio con il linguaggio algebrico (ruolo di parametri e variabili e coordinamento delle condizioni su di essi) ed il linguaggio grafico (confronto e rappresentazione di dati parametrici sulla retta, interpretazione di rappresentazioni in termini algebrici e verbali).


2000 - Piani formalmente euclidei [Articolo su rivista]
Pellegrino, Consolato; Fiori, Carla
abstract

In the last decacìes, university teaching has introduced Geometry as a chapter of Linear Algebra. This implies that geometrical culture and spacial intuition are more and more lacking in the new gcnerations of graduated in Mathematics, which of course has a negative feedback on the qualitv of mathematics teaching and its educational value. So it is important to show the links existing between the synthetic and the analytic approach to the geometry. In this paper we offer a very generai way that, bearing in mind the development of geometrical thought in the last two centuries, allows to shift from one setting to the other. Such procedure, which doesn't depend on the axioms of order nor on those of congruence (and which therefore is not necessarily linked to the field of real numbers), allows to extend to a wide class ofplanes (incÌuding the Eiiclidean one) the notions of similitude and isometry and to find out and claracterize their equations.


2000 - Teoremi ed algoritmi: i due volti del numero [Articolo su rivista]
Pellegrino, Consolato; Fiori, Carla
abstract

This paper is the ideal sequel of our previous publications aimed at the cultural training formation of young-new mathematicians by means of making explicit the relationships, often neglected in specific studies, existing between today's contemporary mathematics and the one of the origins, as well as those existing between pure and applied mathematics. In particular, according to the above mentioned citations, we consider some aspects of the theory of divisibility in order to highlight the role played by algorithms and problem solving in the long abstraction process that goes from natural numbers to abstract algebra. To make our presentation more poignant and effective, we will privilege the heuristic aspects of the topic, using the dialogue form and concentrating all historical and bibliographical references in the footnotes. In particular, to make further research study easier, in the references we preferred to list the more as recent and easy-to-find work as possible literature.


1999 - On the cycle index of point groups [Articolo su rivista]
Baraldi, Ivan; Fiori, Carla; Vanossi, Davide
abstract

In this brief work we express the cycle index of the molecular point groups as a function of a limited number of initial geometrical parameters. Such parameters are the number m of elements composing the domain D of sites of substitutions in the molecule belonging to the point group G, and the numbers (n(C-n),n(sigma),...) of sites of D lying on the symmetry elements (C-n,sigma,...) for G.


1997 - Immagine della Matematica tra Concezione e Divulgazione: Contributi di ricercatori italiani nel periodo 1988-'95 [Articolo su rivista]
Fiori, Carla; Pellegrino, Consolato
abstract

This report, written on the occasion of ICME 8 (Sevilla, July 1996) illustrates the Italian studies and initiatives carried out between 1988 and 1995 and aimed at working out a better image and popularisation of Mathematics. More precisely, in part 1 we shall consider images, beliefs and notions associated with mathematics, in part 2 we shall report on investigations carried out to assess the mathematical knowledge of the pupils, in part 3 we shall deal with the popularisation of mathematics with particular reference to some of the aspects involved and the problems posed and, finally, in part 4 we shall briefly draw some conclusions.


1997 - Sulla preparazione matematica all'inizio dell'Università: test, indagini, riflessioni. [Articolo su rivista]
A., Boiti; Fiori, Carla
abstract

The research is aimed to make contribution to understand interrelations and problems between secondary school and university, studying knowledges of mathematics of students. In particular we report and analyze the results of two researches: the first one gives some information about the mathematical preparation of those students which enroll in the mathematics, phisics and engineering faculties; the second one allows to compare professors expectations with evaluation by secondary schools teachers.


1996 - Alla ricerca delle affinità perdute (e non) [Articolo su rivista]
Fiori, Carla; Pellegrino, Consolato
abstract

This paper is the ideal continuation of a previous one devoted to the coordinatization of the affine planes (cf. Fiori and Pellegrino, 1995). Here we prosecute the illustration of some important results in the realm of the fundaments of Geometry showing how it is possible, in the case of the plane, to arrive at the equations of affinities on the base of purely geometrical considerations. We conclude the paper giving a characterization of the affine planes by von Staudt, which include the usual plane.


1996 - I numeri reali ed il continuo aritmetico: quale conoscenza alla fine degli studi universitari per i futuri insegnanti? [Articolo su rivista]
Fiori, Carla; L., Zuccheri
abstract

The main objective is that of determining what level of knowledge of these properties, and what level of knowledge of real numbers, the students have by the end of high school and at the end of a degree course in mathematics.


1995 - Il teorema di Enumerazione di Pólya: Escursione tra movimenti, gruppi, rappresentazioni, conteggi ed altro ancora, Didattica delle Scienze e dell'Informatica [Articolo su rivista]
Pellegrino, Consolato; Fiori, Carla
abstract


1995 - Teoremi configurazionali e coordinatizzazione dei piani affini [Articolo su rivista]
Fiori, Carla; Pellegrino, Consolato
abstract

The non-Euclidean revolution has imposed the search for a foundation of mathematics. Therefore the language of mathematics has become more abstract and formal. As a consequence, in the last decades the university teaching of mathematics has absorbed these features and eventually lost all connections with the traditional language and approach.This has gradually turned the culture and training of the new generations of mathematicians much poorer and fragile. In order to contrast this fatal trend that strongly conditions the quality of mathematics teaching in all school levels, we started a study aimed at highlighting the links between the traditional language of geometry and the current one, so as to allow us to appreciate the advantages and qualities of both approaches.In the paper, in order to illustrate an important theorem of the foundation of Geometry, we face the case of the affine plane and we show the role of theorems by Desargues and Pappus in the coordinatization of the plane. This exposition highlights the connection between the geometrical properties assumed as axioms of the algebraic properties.


1993 - Alcune proposte di unità didattiche per il biennio di scuola secondaria superiore. Costruzione e Sperimentazione [Monografia/Trattato scientifico]
Fiori, Carla
abstract

Unità didattiche di algebra


1992 - Sulle scienze matematiche a Modena nei secoli XIV e XV [Articolo su rivista]
F., Barbieri; Fiori, Carla
abstract

storia delle scienze matematiche a Modena nei secoli 14 e 15.


1991 - Estensione di insiemi di permutazioni k-transitivi in insiemi di permutazioni (k+1)-transitivi [Articolo su rivista]
Fiori, Carla; Quattrocchi, Pasquale
abstract

We give some sufficient conditions for the existence of a permutation set G* (sharply) (k+1)-transitive on a set E* such that the stabilizer G*a of an element a in E* is a given permutation set G


1991 - Insiemi di permutazioni strettamente k-transitivi in cui lo stabilizzatore di un elemento è un gruppo [Articolo su rivista]
L. A., Rosati; Quattrocchi, Pasquale; Fiori, Carla
abstract

Let G be a sharply k-transitive (k>2) permutation set on a finite set E. We prove that G is a group if and only if there exists an element r in E such that the following conditions hold:1) the stabilizer G_r is a group;2) aba in G whenever b in G, and a is a permutation in G fixing at least k-2 elements of E


1991 - Weakly Regular and Regular sets in Minkowski planes [Articolo su rivista]
Fiori, Carla; Rinaldi, Gloria
abstract

A regular (respectively weakly regular) set for an incidence structure Q is a set S of points such that the identity is the unique automorphism of Q which maps S onto iteslf (respectively which fixes S pointwise). Regular and weakly regular sets in finite Minkowski planes are investigated in the paper.


1990 - A class of non-ordinary half-planes [Articolo su rivista]
Fiori, Carla
abstract

All half-planes that are know in the literature are ordinary. In this note we construct a class of non-hordinary half-planes.


1989 - Dalla Scuola media al biennio. prove di verifica e di ingresso di matematica. Risultati di una sperimentazione condotta all'inizio dell'a,s.1988/89 [Monografia/Trattato scientifico]
Fiori, Carla; Giuliana, Ferretti; Pasquale, Quattrocchi
abstract

Analisi e valutazione di un test. Costruzione e testo di una prova di ingresso per la scuola secondaria.


1988 - Esame di testi di Matematica largamente adottati nelle scuole secondarie superiori [Monografia/Trattato scientifico]
P., Quattrocchi; Fiori, Carla
abstract

Indagine nazionale sulle adozioni di libri di testo di matematica nelle scuole secondarie superiori.


1988 - Sharply 1-transitive subsets of certain permutation groups [Articolo su rivista]
Bonisoli, A.; Fiori, Carla
abstract

We give a method for constructing sharply 1-transitive permutation sets inside a finite permutation group with certain properties and we apply this method to obtain a family of sharply 1-transitive permutation subsets of the sharply 3-transitive permutation group M(p^2f) for p^f = 1 (mod4)


1987 - Limitazioni per insiemi di permutazioni equidistanti [Articolo su rivista]
Fiori, Carla
abstract

On improve some bounds for existence of equidistant permutation erray


1985 - Esistenza e costruzione di sottoinsiemi di permutazioni strettamente 1-transitivi [Articolo su rivista]
Fiori, Carla; F., Zironi
abstract

We present ezistence of sharply 1-transitive permutation subsets (on E) of a sharply 3-transitive permutation set on the set E


1984 - Geometrie parziali ed insiemi di permutazioni [Articolo su rivista]
FIORI, Carla
abstract

Let G be a partial geometry in the sense of R.C. Bose. In this paper the author defines a set M of permutations on the points of G and determines conditions relative to the geometry g in order that M should be maximal according to M.Deza.


1984 - Una caratterizzazione dei gruppi di permutazioni strettamente k-transitivi (k>=3) finiti [Articolo su rivista]
Fiori, Carla; Quattrocchi, Pasquale
abstract

Let G be a permutation set on E finite, sharply k-transitive with k>2 and containing the identical permutation. Then, G is a group if and only if a,b in G implies aba in G


1982 - Insiemi massimali di permutazioni equidistanti [Articolo su rivista]
Fiori, Carla; Quattrocchi, Pasquale
abstract

We construct infinitely many classes of maximal EPAs and prove the falsity of the previous conjecture.


1980 - A result concerning the existence of certain Minkowski-2-structures [Articolo su rivista]
Fiori, Carla; P., Quattrocchi
abstract

Under a special assumtion, a theorem concerning the order of minkowski- 2- Structures is proved. In particular it is shown that if C is a sharply 4- transitive set of permutations on n elements , such that C contains the identical permutation and c in C implies c^-1 in C, then is n=11.


1978 - Una classe di pseudo-piani proiettivi finiti [Articolo su rivista]
Fiori, Carla
abstract

Si costruisce una classe infinita di pseudo-piani di ordine finito analoghi ai piani proiettivi di classe di lenz-Barlotti I-4. ossia ciascuno dei quali sia transitivo rispetto alle coppie punto-retta costituite rispettivamente dai vertici e dai relativi lati opposti di un triangolo


1976 - Una caratterizzazione degli automorfismi di certe strutture di incidenza [Articolo su rivista]
Fiori, Carla
abstract

Si determinano e si caratterizzano gli automorfismi delle strutture di incidenza associate agli insiemi di permutazioni strettamente 3-transitivi finiti attualmente noti