A new kind of Lax-Oleinik type operator with parameters for time-periodic positive definite Lagrangian systems

In this paper we introduce a new kind of Lax-Oleinik type operator with parameters associated with positive definite Lagrangian systems for both the time-periodic case and the time-independent case. On one hand, the new family of Lax-Oleinik type operators with an arbitrary $u\in C(M,\mathbb{R}^1)$ as initial condition converges to a backward weak KAM solution in the time-periodic case, while it was shown by Fathi and Mather that there is no such convergence of the Lax-Oleinik semigroup. On the other hand, the new family of Lax-Oleinik type operators with an arbitrary $u\in C(M,\mathbb{R}^1)$ as initial condition converges to a backward weak KAM solution faster than the Lax-Oleinik semigroup in the time-independent case.Comment: We give a new definition of Lax-Oleinik type operator; add some reference

Weak KAM for commuting Hamiltonians

For two commuting Tonelli Hamiltonians, we recover the commutation of the Lax-Oleinik semi-groups, a result of Barles and Tourin ([BT01]), using a direct geometrical method (Stoke's theorem). We also obtain a "generalization" of a theorem of Maderna ([Mad02]). More precisely, we prove that if the phase space is the cotangent of a compact manifold then the weak KAM solutions (or viscosity solutions of the critical stationary Hamilton-Jacobi equation) for G and for H are the same. As a corrolary we obtain the equality of the Aubry sets, of the Peierls barrier and of flat parts of Mather's $\alpha$ functions. This is also related to works of Sorrentino ([Sor09]) and Bernard ([Ber07b]).Comment: 23 pages, accepted for publication in NonLinearity (january 29th 2010). Minor corrections, fifth part added on Mather's $\alpha$ function (or effective Hamiltonian

Periodic orbits of period 3 in the disc

Let f be an orientation preserving homeomorphism of the disc D2 which possesses a periodic point of period 3. Then either f is isotopic, relative the periodic orbit, to a homeomorphism g which is conjugate to a rotation by 2 pi /3 or 4 pi /3, or f has a periodic point of least period n for each n in N*.Comment: 7 page

Patent foramen ovale and neurosurgery in sitting position: a systematic review

We have conducted a systematic review of air embolism complications of neurosurgery in the sitting position and patent foramen ovale (PFO) closure. It assesses the risk and benefit of PFO closure before neurosurgery in the sitting position. The databases Medline, Embase, and Cochrane Controlled Trial Register were systematically searched from inception to November 2007 for keywords in both topics separately. In total, 4806 patients were considered for neurosurgery in sitting position and 5416 patients underwent percutaneous PFO closure. The overall rate of venous air embolism during neurosurgery in sitting position was 39% for posterior fossa surgery and 12% for cervical surgery. The rate of clinical and transoesophageal echocardiography detected paradoxical air embolism was reported between 0% and 14%. The overall success rate for PFO closure using new and the most common closure devices was reported 99%, whereas the average risk of major complications is <1%. On the basis of our systematic review, we recommend screening for PFO and considering closure in cases in which the sitting position is the preferred neurosurgical approach. Our proposed management including the time of PFO closure according to available data is presented. However, the conclusions from our systematic review may be limited due to the lack of level A evidence and from using data from observational cohort studies. Thus, definite evidence-based recommendations require prospective evaluation of the issue in well-designed studie

Topological Entropy of Braids on the Torus

A fast method is presented for computing the topological entropy of braids on the torus. This work is motivated by the need to analyze large braids when studying two-dimensional flows via the braiding of a large number of particle trajectories. Our approach is a generalization of Moussafir's technique for braids on the sphere. Previous methods for computing topological entropies include the Bestvina--Handel train-track algorithm and matrix representations of the braid group. However, the Bestvina--Handel algorithm quickly becomes computationally intractable for large braid words, and matrix methods give only lower bounds, which are often poor for large braids. Our method is computationally fast and appears to give exponential convergence towards the exact entropy. As an illustration we apply our approach to the braiding of both periodic and aperiodic trajectories in the sine flow. The efficiency of the method allows us to explore how much extra information about flow entropy is encoded in the braid as the number of trajectories becomes large.Comment: 19 pages, 44 figures. SIAM journal styl

Exploring the cyclic loads conditions on behavior of modified connector plate of steel frame CBF

One of the disadvantages of convergent steel frames, is loss of strength of this brace under cyclic loading. Studies in recent years show that in the event of changes in raw form Gusset plate sheet, and the creation of suitable geometry and as well as the type of consumable materials used for it; initial conditions can be provided to increase ductility and resulting increased in energy dissipation. Braces as earthquake resistant elements in different ways are applied to cope with lateral forces of earthquake. One important element of these systems is Gusset plate sheets which plays an important role in the transmission of lateral forces. The behavior of these members can be investigated under tensile and comprehensive loading uniform. The pressure behavior due to its complexity and more failure modes have been less studied. According to investigation conducted, the desired failure mode of Gusset plates under the pressure is surrendered. However, in most cases the connection sheet under pressure surrenders to bucking load and cannot be lodged with the brittle failure and the result does not show good ductility. In order to change the dominant failure mode and delaying bucking of stiffeners Gusset plate the stiffness and changes in their geometry are used. In this study, using Abacus software to evaluate the impact of changes in plate Gusset and the stiffeners edge of sheets have been examined. The results obtained indicate that the postponement of bucking curves in the modified connector plate and thereby improve behavior of connector plates under the pressure forces and also represents the high configurability of modified connector sheets. Keywords: Gusset Plate, Plasticity, Buckling, Brittle Failure

The rate of convergence of new Lax-Oleinik type operators for time-periodic positive definite Lagrangian systems

Assume that the Aubry set of the time-periodic positive definite Lagrangian $L$ consists of one hyperbolic 1-periodic orbit. We provide an upper bound estimate of the rate of convergence of the family of new Lax-Oleinik type operators associated with $L$ introduced by the authors in \cite{W-Y}. In addition, we construct an example where the Aubry set of a time-independent positive definite Lagrangian system consists of one hyperbolic periodic orbit and the rate of convergence of the Lax-Oleinik semigroup cannot be better than $O(\frac{1}{t})$

The quality of life in boys with Duchenne muscular dystrophy

We conducted a study to evaluate the quality of life in boys with Duchenne muscular dystrophy aged 8–18 years, compared with that in matched healthy controls. A total of 85 boys with Duchenne muscular dystrophy aged 8–18 years and 136 age, sex and living place matched healthy controls were included in this study. Patients and one of their parents separately completed the 27-item Persian version of KIDSCREEN questionnaire (child and adolescent version and parent version). From the children's perspective, the quality of life in patients was found to be lower in two subclasses: “physical activities and health” (p < 0.001) and “friends” (p = 0.005). Parental estimation of their sick child's quality of life was significantly lower than children's own assessment in two subclasses: “physical activities and health” (p < 0.001) and “general mood and feelings” (p < 0.001). Our results indicate that boys with Duchenne muscular dystrophy have quite a satisfactory quality of life. A happier and more hopeful life can be promoted through increasing social support and improving the parental knowledge regarding their child's more positive life perspective. © 2016 Elsevier B.V

Perancangan Sistem Rain Water Harvesting, Studi Kasus: Hotel Novotel YOGYAKARTA

Perhatian pada sektor air bersih semakin meningkat secara signifikan. Pada World Summit on Sustainable Development (WSSD) di Johanesburg, 2-4 September 2002, air bersih menjadi salah satu perhatian dari lima sektor yang dibahas, yaitu water, energy, health, agriculture, dan biodiversity (disingkat sebagai WEHAB). Air bersih memiliki tingkat kepentingan yang tinggi dalam perkembangan aspek ekonomi, sosial, dan lingkungan. Banyak upaya dilakukan untuk menjaga pasokan air, termasuk penghematan air, waste water management, dan rain water harvesting (RWH). Pada penelitian ini, dilakukan analisis terhadap perancangan sistem RWH pada bangunan publik dengan studi kasus Hotel Novotel Yogyakarta. Kegiatan utamanya yaitu melakukan studi kelayakan pada existing building condition dan menganalisis potensi penghematan dengan pemanfaatan sistem RWH.Air hujan yang biasanya langsung dibuang ke saluran drainase kota dikumpulkan, kemudian diberikan pengolahan agar sesuai dengan standar kualitas air minum yang dikembangkan oleh World Health Organization (WHO) sehingga dapat dimanfaatkan sebagai sumber air bersih pada hotel. Selain itu, perancangan sistem RWH ini juga mengacu pada Greenship Rating Tools yang dikeluarkan oleh GBCI (Green Building Council Indonesia). Dari perhitungan yang dilakukan, rata-rata air hujan yang dapat ditampung dalam satu bulan yaitu 478.820 liter dan dalam satu tahun dapat terkumpul sebesar 5.745.809 liter. Pada musim hujan, air hujan pada Hotel Novotel dapat memasok hingga 21% dari total kebutuhan air bersih dalam satu bulan. Rata-rata konsumsi air yang dapat ditangani oleh air hujan dalam setahun adalah 8,6%

MicroRNA-129-1 acts as tumour suppressor and induces cell cycle arrest of GBM cancer cells through targeting IGF2BP3 and MAPK1

Background MicroRNA-129-1 (miR-129-1) seems to behave as a tumour suppressor since its decreased expression is associated with different tumours such as glioblastoma multiforme (GBM). GBM is the most common form of brain tumours originating from glial cells. The impact of miR-129-1 downregulation on GBM pathogenesis has yet to be elucidated. Methods MiR-129-1 was overexpressed in GBM cells, and its effect on proliferation was investigated by cell cycle assay. MiR-129-1 predicted targets (CDK6, IGF1, HDAC2, IGF2BP3 and MAPK1) were also evaluated by western blot and luciferase assay. Results Restoration of miR-129-1 reduced cell proliferation and induced G1 accumulation, significantly. Several functional assays confirmed IGF2BP3, MAPK1 and CDK6 as targets of miR-129-1. Despite the fact that IGF1 expression can be suppressed by miR-129-1, through 30-untranslated region complementary sequence, we could not find any association between IGF1 expression and GBM. MiR-129-1 expression inversely correlates with CDK6, IGF2BP3 and MAPK1 in primary clinical samples. Conclusion This is the first study to propose miR129-1 as a negative regulator of IGF2BP3 and MAPK1 and also a cell cycle arrest inducer in GBM cells. Our data suggests miR-129-1 as a potential tumour suppressor and presents a rationale for the use of miR-129-1 as a novel strategy to improve treatment response in GBM