On the area rate of perturbed Siegel disks

In the famous work by Buff and Ch\'eritat constructing quadratic Julia sets with positive area, the control of the shape of perturbed Siegel disks is a key technique. To do it, Buff and Ch\'eritat added a restrictive condition on rotation numbers. In this paper, we show that this restrictive condition can be deleted. As a consequence, more quadratic Julia sets with positive area can be constructed

On quadratic Siegel disks with a class of unbounded type rotation numbers

In this paper we explore a class of quadratic polynomials having Siegel disks with unbounded type rotation numbers. We prove that any boundary point of Siegel disks of these polynomials is a Lebesgue density point of their filled-in Julia sets, which generalizes the corresponding result of McMullen for bounded type rotation numbers. As an application, this result can help us construct more quadratic Julia sets with positive area. Moreover, we also explore the canonical candidate model for quasiconformal surgery of quadratic polynomials with Siegel disks. We prove that for any irrational rotation number, any boundary point of ``Siegel disk'' of the canonical candidate model is a Lebesgue density point of its ``filled-in Julia set'', in particular the critical point $1$ is a measurable deep point of the ``filled-in Julia set''.Comment: 45 pages, 4 figure

The Relationship Between Stroke Patients Characteristics and Family Support with Compliance Rehabilitation

Stroke is a cerebrovascular disease, it is brain function disorders associated with the disease of the blood vessels that supply the brain. The impact of stroke is paralysis. Family support is things that are needed to be considered in the treatment of stroke patients. It is very involved in the compliance rehabilitation of patients to prevent the re-occurrence of stroke. Characteristics of stroke patients may also affect the compliance rehabilitation. The purpose of this research is to determine the relationship between stroke patients characteristics and family support to compliance rehabilitation at the Medical Rehabilitation Unit RSU Haji Surabaya. This research was an analytic observational research with cross sectional design. The subjects of this research are taken using total population technique. The independent variables in this research is family support. The dependent variable is compliance rehabilitation. The results of this research are presented in the form of frequency distributions and calculate the strength of the relationship with Phi coefficient. The result of this research shows that there is a strong relationship between family support and compliance rehabilitation (r=0.582). There are weak relationship between ages (r=-0,027), gender (r=0,092), level of education (r= -0,295), work (r=0,098), and marital status (r=0,319). The conclusion is family support may affect compliance rehabilitation of stroke patients. It is recommended for health workers to provide counseling to improve family support in curing stroke patients

Expert Consensus on Microtransplant for Acute Myeloid Leukemia in Elderly Patients -Report From the International Microtransplant Interest Group

Recent studies have shown that microtransplant (MST) could improve outcome of patients with elderly acute myeloid leukemia (EAML). To further standardize the MST therapy and improve outcomes in EAML patients, based on analysis of the literature on MST, especially MST with EAML from January 1st, 2011 to November 30th, 2022, the International Microtransplant Interest Group provides recommendations and considerations for MST in the treatment of EAML. Four major issues related to MST for treating EAML were addressed: therapeutic principle of MST (1), candidates for MST (2), induction chemotherapy regimens (3), and post-remission therapy based on MST (4). Others included donor screening, infusion of donor cells, laboratory examinations, and complications of treatment

On limiting directions of Julia sets

We deal with the iteration of transcendental entire functions, and prove some properties on the Julia sets

Cutting force analysis in machining of titanium alloy with solid carbide cutters of different geometriy

In order to study the cutting force in machining of titanium alloy with solid carbide cutters of different geometriy, variable helix (VH), variable pitch (VP) and standard (SD) milling cutter were used to machine titanium alloy TB6 via dry milling. The influence of cutting parameters and geometric structure parameters of milling cutters on the cutting force was investigated by the analysis of radial and tangential forces in the cutting process with three kinds of milling cutters. The experiment results showed that cutting parameters had the same influence on the radial force and tangential force of the three milling cutters, and the influence of geometric structure parameters on radial force and tangential force was different. Compared with the SD milling cutter, the change of pitch and helix resulted in the increase of radial and tangential forces, the pitch change led to the radial force being larger than the tangential force, and the helix change led to the radial force being smaller than the tangential force