The Stern diatomic sequence via generalized Chebyshev polynomials

Let a(n) be the Stern's diatomic sequence, and let x1,...,xr be the distances between successive 1's in the binary expansion of the (odd) positive integer n. We show that a(n) is obtained by evaluating generalized Chebyshev polynomials when the variables are given the values x1+1, ..., xr+1, and we derive a formula expressing the same polynomials in terms of sets of increasing integers of alternating parity. We also show that a(n) = Det(Ir + Mr), where Ir is the rxr identity matrix, and Mr is the rxr matrix that has x1,...,xr along the main diagonal, then all 1's just above and below the main diagonal, and all the other entries are 0

\u201cThe Only Cure I Know Is a Good Ceremony": Post-traumatic Reconstruction of Identity in Leslie Marmon Silko\u2019s Ceremony

The article deals with the representation of post-traumatic stress disorder in Leslie Marmon Silko\u2019s novel Ceremony (1977), and with the complex psychological and cultural procedures of identity reconstruction its protagonist, half-blood Tayo, must follow in order to find some sort of inner balancing. Tayo\u2019s traumatic experience of war seems to schizophrenically split his identity, turning his \u201creal\u201d self into a Lacanian absence (the symptom of the \u201cReal\u201d), a void that denounces the source of the trauma (not the war in itself, which is mainly a metaphorical projection of Tayo\u2019s inner conflict, but his being neither Indian nor white) by erasing it from Tayo\u2019s consciousness and substituting it with a mythical plot that constructs him as a scapegoat-like figure responsible for the drought afflicting the Reservation. Both the novel and its main character at the end manage to reach some sort of coherence by accepting the unrepresentable Real and turning it upside down: they both finally reject the dream of a homogenous identity, and the trauma, no more something to be simply \u201ccured,\u201d is transformed into a source of self-definition, thanks to the equally polymorphic, hybrid, \u201cbroken\u201d ceremonies Tayo is subject to in the novel

"For the Bright Side of the Painting I Had a Limited Sympathy": Emancipation and Counter-Emancipation in Edgar Allan Poe's The Narrative of Arthur Gordon Pym

The article focuses on the contradictory construction of a free and self-reliant (and \u201cimperialist\u201d) white male identity in Edgar Allan Poe\u2019s The Narrative of Arthur Gordon Pym. Poe\u2019s romance builds up the myth of sea travelling as a way to reach an individual emancipation from the constraints (but also privileges) of social and familiar conditioning which ultimately fails due to a sort of \u201creturn of the repressed,\u201d of the censored reality that allows those same socio-familiar conditions to exist as they are \u2013 namely, the subjugation of black or non-white people who in the romance do not accept the role white domination would like to impose on them. On the other hand, the analogies linking Pym\u2019s predicament to the condition of African Americans in antebellum America (something symbolically alluded to in the famous quote \u201cFor the bright side of the painting I had a limited sympathy\u201d) threaten to subvert Poe\u2019s construction of a free and authorative white identity, undermined also by the sheer fact that at the end of the romance we have only one last man standing who knows the final outcome of the story \u2013 and this man is not Pym, but mixed-blood Dirk Peters, half white and half Indian, and showing some distinctly African American somatic features. The route of the American \u201cship\u201d comes therefore to ultimately look as already bound towards a dramatic redefinition of the power relationships between whites and non-whites, despite Pym\u2019s (and Poe\u2019s) desperate attempt to resist this change and reinstall individual and collective white authority

Multimodal therapy in the management of MOH. a 3-year experience

The relationship between migraine and psychopathology has been clinically discussed in various studies. Medication-overuse headache (MOH) has been often found comorbid with emotional disturbances and disordered personality traits [1,2]

Development of a Cooperative Localization System using a UWB Network and BLE Technology

This paper presents the development of a system able to estimate the 2D relative position of nodes in a wireless network, based on distance measurements between the nodes. The system uses ultra wide band ranging technology and the Bluetooth Low Energy protocol to acquire data. Furthermore, a nonlinear least squares problem is formulated and solved numerically for estimating the relative positions of the nodes. The localization performance of the system is validated by experimental tests, demonstrating the capability of measuring the relative position of a network comprised of 4 nodes with an accuracy of the order of 3 cm and an update rate of 10 Hz. This shows the feasibility of applying the proposed system for multi-robot cooperative localization and formation control scenarios.Comment: 6 pages, 12 figures, 2022 IEEE International Symposium on Measurements & Networking (M&N

The Zagier polynomials. Part II: Arithmetic properties of coefficients

The modified Bernoulli numbers \begin{equation*} B_{n}^{*} = \sum_{r=0}^{n} \binom{n+r}{2r} \frac{B_{r}}{n+r}, \quad n > 0 \end{equation*} introduced by D. Zagier in 1998 were recently extended to the polynomial case by replacing $B_{r}$ by the Bernoulli polynomials $B_{r}(x)$. Arithmetic properties of the coefficients of these polynomials are established. In particular, the 2-adic valuation of the modified Bernoulli numbers is determined. A variety of analytic, umbral, and asymptotic methods is used to analyze these polynomials

Napoli/New York/Hollywood. La storia dell’emigrazione artistica italiana che ha cambiato il cinema americano e l’immagine degli italiani negli USA. Giuliana Muscio

Review of Napoli/New York/Hollywood: La storia dell’emigrazione artistica italiana che ha cambiato il cinema americano e l’immagine degli italiani negli USA by Giuliana Muscio

Euler Polynomials and Identities for Non-Commutative Operators

Three kinds of identities involving non-commutating operators and Euler and Bernoulli polynomials are studied. The first identity, as given by Bender and Bettencourt, expresses the nested commutator of the Hamiltonian and momentum operators as the commutator of the momentum and the shifted Euler polynomial of the Hamiltonian. The second one, due to J.-C. Pain, links the commutators and anti-commutators of the monomials of the position and momentum operators. The third appears in a work by Figuieira de Morisson and Fring in the context of non-Hermitian Hamiltonian systems. In each case, we provide several proofs and extensions of these identities that highlight the role of Euler and Bernoulli polynomials.Comment: 20 page

Learning to use gestures in narratives: developmental trends in formal and semantic gesture competence

This study analyses the way in which children develop their competence in the formal and semantic aspects of gesture. The analysis is focused upon the use of representational gestures in a narrative context. A group of 30 Italian children from 4 to 10 years was videotaped while telling a video cartoon to an adult. Gestures were coded according to the parameters used in Sign Languages analysis and analysed in terms of the acquisition of their properties, the accuracy of their execution and correctness in content representation.It was investigated also the development of the symbolic competence in relation both to the use of some of these parameters and to the representational strategies adopted. Results indicate a developmental trend in all the phenomena investigated and point out some formal similarities between gesture and Sign Languages

Stigma and Chronic Pain

Stigma is defined by the World Health Organization (WHO) as "a mark of shame, disgrace or disapproval that results in an individual being rejected, discriminated against and excluded from participating in a number of different areas of society". Extensive literature searches have documented stigma in the context of health. Among the physical health conditions that are associated with stigma, chronic pain deserves particular attention. Stigma experienced by individuals with chronic pain affects their entire life. Literature identifies multiple dimensions or types of stigma, including public stigma, structural stigma and internalized stigma. Recent literature supports the biopsychosocial model of pain, according to which biological, psychological and sociocultural variables interact in a dynamic manner to shape an individual's response to chronic pain. Chronic pain affects a higher proportion of women than men around the world. There is an inadequate education of health care professionals regarding pain assessment and their insecurity to manage patients with chronic pain. A first-line intervention strategy could be to promote pain education and to expand knowledge and assessment of chronic pain, as recently highlighted for headache disorders, paradigmatically for resistant or refractory migraine, whose diagnosis, without an adequate education to understand the possible fluctuations of the disease, may have profound psychological implications with the idea of insolvability and contribute to stigmatizing the patient