We study the enumeration problem of higher dimensional partitions, a natural generalisation classical integer partitions. show that their counting is equivalent to simpler classes satisfying suitable constraints on embedding dimension and socle type. provide exact formulas for generating functions several infinite families such design procedure enumerating them in general case. As proof concept, we determine number partitions size up 30 any dimension.

Lung ultrasound is gaining consensus for the diagnosis of some pulmonary conditions. Pulmonary complications are common in pediatric cardiac surgery. However, its use remains limited this setting. Our aim was to test feasibility lung following surgery and compare chest X-ray findings, assessing whether may provide additional information.One hundred thirty-eight examinations were performed 79 children (median age 9.3 months) at different time points after For each hemithorax, 3 areas...

Abstract Background: The aim of this study is to test the hypothesis whether combined use a cardio-specific biomarker, brain natriuretic peptide (BNP) and marker early renal damage, assay urinary neutrophil gelatinase-associated lipocalin (uNGAL), may improve risk stratification in pediatric cardiac surgery. Methods: We prospectively enrolled 135 children [median age 7 (interquartile range 1–49) months] undergoing surgery for congenital heart disease. All biomarkers were evaluated pre-...

We reviewed the role of posterior aortopexy for left mainstem bronchus compression in infants and children.Eighteen children with respiratory symptoms were enrolled between 2005 2015 surgical decompression bronchus. The managed from diagnosis to follow-up by a dedicated tracheal team. Primary outcomes complete relief or improvement respect preoperative clinical status.The median age was 4 years (0.3-15.4) weight 13.2 kg (3, 1-40). Symptoms indications bronchoscopy included difficult weaning...

Interest in hormonal response after pediatric cardiac surgery is growing, but many aspects remain unclear. The aim of this study was to test age-related variations and prognostic values thyroid hormones, brain natriuretic peptide (BNP) levels before surgery.A total 162 children undergoing were divided into 3 age groups (group 1, n=57 neonates; group 2, n=58 infants; 3, n=47 toddlers). Free hormones (fT3 fT4), thyrotropin (thyroid-stimulating hormone [TSH]) BNP measured preoperatively, daily...

Cardiac tuberculosis is rare and usually manifests as tuberculous pericarditis. Involvement of other part the heart unusual descriptions in pediatric literature are confined to few case reports regarding mainly myocardial tuberculosis.We describe a pulmonary miliary associated with intracardiac left atrial tuberculoma an immunocompetent eleven-month-old infant successfully treated surgery antituberculous therapy.Although unusual, involvement endocardium disseminated should be kept mind.

<b>Background</b> The cardioplegia is one of the most significant tools used to increase myocardial protection. aim our study compare use Custodiol solution versus intermitted blood in a retrospective analysis data for patients who underwent arterial switch operation institution. <b>Material and Methods</b> From January 2008 March 2011, protection was performed 44 neonates (blood group) with intermittent cardioplegia. 2011 November 2014, 50 (Custodiol one-shot anterograde <b>Results</b>...

Objective Mitral valve replacement (MVR) is a surgical option when mitral valvuloplasty not feasible/successful. This study reviews our experience with MVR in very young children. Methods From July 2004 to January 2014, seven children (mean age 13.3 ± 11.2 months; range 4 months 35 mean body weight 6.0 2.2 kg) underwent mechanical prosthesis the supra-annular position. To provide better exposure left atrium, we performed all but one case biatrial transeptal incision according Guiraudon. Six...

Despite the fact that team management has improved results in recent years, perioperative deaths and complications remain high paediatric tracheal surgery. We reviewed our institutional experience by comparing with those literature.Between 2005 2017, 30 children underwent surgery for disease. Fifteen were boys fifteen girls (50% vs 50%). The median age at operation was 7 months (15 days-9.6 years), weight 5.2 kg (2.8-34 kg). Congenital stenosis diagnosed 25 (83.3%), 5 (16.7%) had acquired...

We study ( 2 , ) divisors in P × giving rise to pairs of nonisomorphic, derived equivalent, and L -equivalent K3 surfaces degree . In particular, we confirm the existence such fourfolds as predicted recently by Kuznetsov Shinder.

Congenital atrioventricular block is a rare, but severe occurrence in the newborn can be related to various cardiac malformations or maternal autoimmune diseases, particularly systemic lupus erythematosus. We report an extremely low-birth-weight infant affected by congenital heart block, due positive anti-RO/SSA and anti-LA/SSB antibodies of mother, with progressively increasing respiratory distress syndrome failure. The was successfully treated external constant-current, single-chamber...

Congenital tracheal stenosis is frequently associated with heart malformations. Simultaneous correction of both anomalies has been advocated by several authors. We describe our experience a premature neonate congenital and tetralogy Fallot. The were corrected during the same surgical procedure aid extracorporeal circulation. implications operative postoperative courses, concerning cardiac anomaly are discussed.

We prove a closed formula for the generating function $\mathsf Z_d(t)$ of motives $[\mathrm{Hilb}^d(\mathbb A^n)_0] \in K_0(\mathrm{Var}_{\mathbb C})$ punctual Hilbert schemes, summing over $n$, fixed $d>0$. The result is an expression as product zeta $\mathbb P^{d-1}$ and polynomial P_d(t)$, which in particular implies that rational function. Moreover, we reduce complexity P_d(t)$ to computation $d-8$ initial data, therefore give explicit formulas cases $d \leq 8$, turn yields...

We determine the number of minimal degree covers odd ramification for a general curve.

Abstract Let X be an irreducible, reduced complex projective hypersurface of degree d . A point P not contained in is called uniform if the monodromy group projection from isomorphic to symmetric $$S_d$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>S</mml:mi> <mml:mi>d</mml:mi> </mml:msub> </mml:math> We prove that locus non-uniform points finite when smooth or a general variety. In general, it union linear spaces codimension at least 2, except possibly for...

We study pencils of plane cubics with only one base point and general member smooth, giving a complete classification. Under the additional hypothesis that all members are irreducible, we prove there exists unique non-isotrivial pencil these properties up to projective transformation. compare our construction classical approaches given by Gattazzo, Beauville Miranda-Persson.

Brandhorst and Shimada described a large class of Enriques surfaces, called (\tau,\bar{\tau}) -generic, for which they gave generators the automorphism groups calculated elliptic fibrations smooth rational curves up to automorphisms. In present paper, we give lower bounds non-degeneracy invariant such show that in most cases has generic value 10 , first known example complex surface with infinite group not equal .