1,720,962 research outputs found
Cubics, hyperbolas and steiner ellipses
No full textIn this article, we will show that for every choice of real num- bers a1 and a2, the set (loci) of solutions of all polynomials of the type x^3+a_2x^2+a_1x+d, where d ∈ R, can be characterized in terms of hyperbo- las. Furthermore, relations between such hyperbolas and Steiner ellipses (inellipses and circumellipses) associated with cubics will be pointed out
Maximizing the Area of Polygons via Quasicyclic Polygons
No full textBased on Peter’s work from 2003, quadrilaterals can be characterized in the following way: “among all quadrilaterals with given side lengths a, b, c and d, those of the largest possible area are exactly the cyclic ones”. In this paper, we will give the corresponding characterization for every polygon, by means of quasicyclic polygons properties
An extension of lucas identity via pascal’s triangle
No full textThe Fibonacci sequence can be obtained by drawing diagonals in a Pascal’s triangle, and from this, we can obtain the Lucas identity. An investigation on the behavior of certain kinds of other diagonals inside a Pascal’s triangle identifies a new family of recursive sequences: the k-Padovan sequences. This family both contains the Fibonacci and the Padovan sequences. A general binomial identity for k-Padovan sequences which extends both the well-known Lucas identity and the less known Padovan identity is derived
Generalized Pascal's triangles and associated k-Padovan-like sequences
No full textOne of the most interesting properties of Pascal's triangle is that the sequence of the sums of the elements on its diagonals is the best known recurrence sequence, the Fibonacci sequence. It is also known that other diagonals can be associated with other relevant recurrence sequences, such as the Padovan and k-Padovan sequences. In this paper, we see that similar properties also hold for diagonals of generalized Pascal's triangles. We show that the diagonal sums in generalized Pascal's triangles belong to the family of the so-called ‘k-Padovan-like sequences’ which are linear recurrences of order k with constant coefficients. A recurrence connection between the k-Padovan and k-Padovan-like sequences is derived
Road Infrastructure as a Guarantee of Social Inclusion: The Case of Tourists’ satisfaction in the South of Italy
Full text linkThis paper discusses the concept of social inclusion as it relates to transport, and how it is currently embedded within the Italian roads transport planning.
Transportation systems may not always be inclusive both from a geographical point of view as well as from an economic point of view. However roads bypass this issue since they are always accessible in time and space.
Through the support of a questionnaire submitted to tourists visiting the most popular tourist destinations in Campania region, in the south of Italy, it was possible to analyze their satisfaction with respect to the roads travelled during their journeys. Tourists were interviewed along some of the main roads managed by ANAS S.p.A. (Azienda Nazionale Autonoma delle Strade, National Autonomous Company of Roads), i.e. the Italian company managing road infrastructures.
The analysis revealed a difference between tourists with a lowand thosewith a medium-high income. They perceived a different level of satisfaction with respect to road management and traffic management
On h ̄-Jacobsthal and h ̄-Jacobsthal-Lucas sequences, and related quaternions
No full textIn this paper, inspired by recent articles of A. Szynal-Liana & I. Wloch and F. T. Aydin & S. Yu ̈ce (see [26] and [2]), we will introduce the h ̄-Jacobsthal quaternions and the h ̄-Jacobsthal–Lucas sequences and their associated quaternions. The new results that we have obtained extend most of those obtained in [26]
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe 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
- …
