The Criteria for Reducing Centrally Restricted Three-Body Problem to Two-Body Problem

Our Solar System contains eight planets and their respective natural satellites excepting the inner two planets Mercury and Venus. A satellite hosted by a given Planet is well protected by the gravitational pertubation of much heavier planets such as Jupiter and Saturn if the natural satellite lies deep inside the respective host Planet Hill sphere. Each planet has a Hill radius aH and planet mean radius RP and the ratio R1=RP/aH. Under very low R1 (less than 0.006) the approximation of CRTBP (centrally restricted three-body problem) to two-body problem is valid and planet has spacious Hill lobe to capture a satellite and retain it. This ensures a high probability of capture of natural satellite by the given planet and Sun’s perturbation on Planet-Satellite binary can be neglected. This is the case with Earth, Mars, Jupiter, Saturn, Neptune and Uranus. But Mercury and Venus has R1=RP/aH =0.01 and 5.9862 × 10-3 respectively hence they have no satellites. There is a limit to the dimension of the captured body. It must be a much smaller body both dimensionally as well masswise. The qantitative limit is a subject of an independent study.

In vitro callus induction and plantlet regeneration of Achyranthes aspera L.,a high value medicinal plant

Objective:To study callus induction from different explants(internode,leaf,root)and in vitro plantlets propagation from medicinally important plant Achyranthes aspera L.Methods:Sterilized explants were prepared by uning 0.1%HgCl_2 and 0.5%Bavistin and callus was obtained when cultured onto Murashige Skoog's(MS)medium by using different concentrations and combination of 2,4-D.NAA.BAP,IAA,IBA with 3%sucrose and 0.8%agar.Induced callus was immediately transferred to MS medium containing at different concentrations of phytohormones for shootlets and rootlets induction respectively.Results:Sterilization treatment of 0.1%HgCl_2.for 2-3 min and Bavistin 0.5%for 10-12 min showed the highest percentage of asepsis and survival rate.Maximum induction of callus was obtained from a combination of 2.0 mg/L 2,4-D and 0.5 mg/L NAA from leaf.Highest shootlets number(4.83±0.l7)and length(3.8±0.16)cm were observed on full strength MS medium when fortified with BAP 4.0 mg/L and KIN 0.5 mg/L.Concerted efforts of BAP 10 mg/L and NAA 0.5 mg/L on full strength MS medium showed highest leaf number(6.77±0.94).In vitro raised shoots were allowed to root on different strengths of MS medium fortified with IAA and IBA at different concentrations.Experimentally,3.0 mg/L IBA was enabled to induce maximum rootlets number(10.0±9.82)on full strength MS medium.Afterwards,regenerated shoots with well developed roots were successfully subjected to hardening process and were acclimatized.The survived plantlets showed 66.67%survival frequency without any morphological abnormality.Conclusions:The results demonstrated that different explants were good source of callus induction,morphology analysis as well as indirect plantlets regeneration.

The Gleason's problem on normal weight general function spaces in the unit ball of C^(n)

In this paper,we first discuss the boundedness of certain integral operator T_(t) on the normal weight general function space F(p,μ,s)in the unit ball Bnof C^(n).As an application of this operator,we prove that the Gleason’s problem is solvable on F(p,μ,s).

Neuroglobin and neuroprotection:the role of natural and synthetic compounds in neuroglobin pharmacological induction

Neuroglobin(Ngb)is a 17 kDa monomeric hexa-coordinated heme protein belonging to the globin family.Ngb is mainly expressed in neurons of the central and peripheral nervous system,although moderate levels of Ngb have been detected in non-nervous tissues.In the past decade,Ngb has been studied for its neuroprotective role in a large number of neurological disorders such as Alzheimer’s disease,Huntington’s disease,brain ischemia and hypoxia.This review discusses and summarizes the natural compounds and the small synthetic molecules capable of modulating Ngb expression that exhibits a protective role against various neurodegenerative diseases.

Effects of variations in culture media and hormonal treatments upon callus induction potential in endosperm explant of Barringtonia racemosa L.

Objective: To induce callus from the medicinally valuable species, Barringtonia racemosa L.(B. racemosa) whereby the formation of callus is essential for micropropagation studies and in vitro plant secondary metabolites production.Methods: The callus induction potential in B. racemosa was assessed from endosperm explant cultured on different culture media and plant hormonal treatments. Lloyd and Mc Cown's woody plant medium and Murashige and Skoog's medium were used in the study as culture media. On the other hand, various concentrations and combinations of2,4-dichlorophenoxyacetic acid(1.0–2.0 mg/L) and kinetin(0.5–2.5 mg/L) had been incorporated in the culture media to exert the effects of auxin and cytokinin on callus induction.Results: From the present study, it was found that the profuse [(1.681 ± 0.770) g fresh weight,(0.239 ± 0.239) g dry weight] and friable callus formation was optimally produced with desirable morphology and considerable percentage of callus induction(56.70%) in endosperm explants cultured on 1.0 mg/L 2,4-dichlorophenoxyacetic acid and 1.5 mg/L kinetin in Murashige and Skoog's medium.Conclusions: A reliable protocol for inducing callus formation of profuse and friable morphology in endosperm explant of B. racemosa had therefore been successfully established.

基于LSTM的小井眼阵列感应测井响应预测

快速准确地获取测井响应曲线是进行后续测井反演的基础。为了对测井响应进行高效的正演建模,将LSTM神经网络应用于小井眼阵列感应测井响应的预测中。数据集来源于COMSOL软件建模仿真得到的小井眼感应测井响应数据。在离线训练阶段,LSTM模型从测井响应数据库中提取到小井眼感应测井响应的数据特征。给定简单各向同性层状地层和复杂各向同性地层两种地层参数,训练得到的模型可用于预测阵列感应仪器的小井眼测井响应。研究表明,LSTM预测结果与基于测井响应数据库传统多维插值法的结果基本吻合。在保证预测结果精度的前提下,LSTM预测极大地提高了不同地层场景下测井响应的预测时间,且具有良好的泛化能力。

Accelerated Infliximab Induction for Severe Lower Gastrointestinal Bleeding in a Young Patient with Crohn’s Disease:A Case Report

BACKGROUND Severe lower gastrointestinal bleeding(SLGIB)is a rare complication of Crohn's disease(CD).The treatment of these patients is a clinical challenge.Monoclonal anti-TNFαantibody(IFX)can induce relatively fast mucosal healing.It has been reported for the treatment of SLGIB,but there are few reports on accelerated IFX induction in CD patients with SLGIB.CASE SUMMARY A 16-year-old boy with a history of recurrent oral ulcers for nearly 1 year presented to the Gastroenterology Department of our hospital complaining of recurrent periumbilical pain for more than 1 mo and having bloody stool 4 times within 2 wk.Colonoscopy showed multiple areas of inflammation of the colon and a sigmoid colon ulcer with active bleeding.Hemostasis was immediately performed under endoscopy.The physical examination of the patient showed scattered small ulcers in the lower lip of the mouth and small cracks in the perianal area.Combined with his medical history,physical examination,laboratory examinations with high C-reactive protein(CRP),platelet count(PLT),erythrocyte sedimentation rate(ESR)and fecal calprotectin levels,imaging examinations and pathology,a diagnosis of CD was taken into consideration.According to the pediatric CD activity index 47.5,methylprednisolone(40 mg QD)was given intravenously.The abdominal pain disappeared,and CRP,PLT,and ESR levels decreased significantly after the treatment.Unfortunately,he had a large amount of bloody stool again after 1 wk of methylprednisolone treatment,and his hemoglobin level decreased quickly.Although infliximab(IFX)(5 mg/kg)was given as a combination therapy regimen,he still had bloody stool with his hemoglobin level decreasing from 112 g/L to 80 g/L in a short time,so-called SLGIB.With informed consent,accelerated IFX(5 mg/kg)induction was given 7 days after initial presentation.The bleeding then stopped.Eight weeks after the treatment,repeat colonoscopy showed mucosal healing;thus far,no recurrent bleeding has occurred,and the patient is symptom-free.CONCLUSION This case highlights the importance of accelerated IFX induction in SLGIB secondary to CD,especially after steroid hormone treatment.

Hilbert’s First Problem and the New Progress of Infinity Theory

In the 19th century, Cantor created the infinite cardinal number theory based on the “1-1 correspondence” principle. The continuum hypothesis is proposed under this theoretical framework. In 1900, Hilbert made it the first problem in his famous speech on mathematical problems, which shows the importance of this question. We know that the infinitesimal problem triggered the second mathematical crisis in the 17-18th centuries. The Infinity problem is no less important than the infinitesimal problem. In the 21st century, Sergeyev introduced the Grossone method from the principle of “whole is greater than part”, and created another ruler for measuring infinite sets. The discussion in this paper shows that, compared with the cardinal number method, the Grossone method enables infinity calculation to achieve a leap from qualitative calculation to quantitative calculation. According to Grossone theory, there is neither the largest infinity and infinitesimal, nor the smallest infinity and infinitesimal. Hilbert’s first problem was caused by the immaturity of the infinity theory.

An Equivalent Form of the Dedekind Axiomand Its Application(Ⅰ)——Also on theunity ofthe ContinuousInduction,theMathem aticalInduction and theTransfiniteInduction

In this paper,a converse and negated form of the continuous induction is indicated. We use it to prove six basic theorems of completeness of real numbers system,the existence theorem of limes superiores and limes inferiores of seqence and the properties of continuous function in closed interval by mode of unification.

An Equivalent Form of the Dedekind Axiomand Its Application(Ⅱ)——Also on the unity of the Continuous Induction,the Mathem atical Induction and the Transfinite Induction

In this paper,a common characteristic of real number system and well ordered set is revealed and proved to be an equivalent form of the Dedekind Axiom or the Continuous Induction in R. Basing on it,we get the unified form of the mathematical induction,the transfinite induction and the continuous induction and generalize induction to totally ordered set that has the same characteristic.

A Key to Solving the Angle Trisection Problem

This paper describes the methodology (or approach) that was key to the solution of the angle trisection problem published earlier in article entitled, “A Procedure For Trisecting An Acute Angle.” It was an approach that required first, designing a working model of a trisector mechanism, second, studying the motion of key elements of the mechanism and third, applying the fundamental principles of kinematics to arrive at the desired results. In presenting these results, since there was no requirement to provide a detailed analysis of the final construction, this information was not included. However, now that the publication is out, it is considered appropriate as well as instructive to explain more fully the mechanism analysis of the trisector in graphical detail, as covered in Section 3 of this paper, that formed the basis of the long sought solution to the age-old Angle Trisection Problem.

Relationship between Authoritative Parenting Style and Preschool Children’s Emotion Regulation:A Moderated Mediation Model

An authoritative parenting style has been shown to promote children’s emotion regulation in European-American family studies.However,little is known about how sleep problems and the child’s sibling status in Chinese families affect this relationship.Based on family system theory,this study attempts to better understand the relationship between authoritative parenting style and emotion regulation.Mothers of preschool children in Chinese kindergartens completed questionnaires about their children’s sleep habits,their authoritative parenting styles,and children’s emotion regulation.A total of 531 children participated in this study.Results showed that authoritative parenting was positively associated with emotional regulation.Sleep problems mediated the effects of authoritative parenting style on emotion regulation.The child’s sibling status moderated the mediating effects of sleep problems in authoritative parenting and emotion regulation relationships.Specifically,the relationship between the authoritative parenting style and sleep problems was significant for only children,while birth order had no significant influence on the authoritative parenting style and sleep problems in two-child families.These findings suggest that a lowauthoritative parenting style predicts low emotion regulation through sleep problems,and this depends on the child’s sibling status,indicating that children without siblings may impair emotion regulation due to increased sleep problems.

A Procedure for Trisecting an Acute Angle (Method 2)

This paper presents an alternate graphical procedure (Method 2), to that presented in earlier publications entitled, “A Procedure for Trisecting an Acute Angle” and “A Key to Solving the Angle Trisection Problem”. The procedure, when applied to the 30˚ and 60˚ angles that have been “proven” to be nottrisectable and the 45˚ benchmark angle that is known to be trisectable, in each case produced a construction having an identical angular relationship with Archimedes’ Construction, as in Section 2 on THEORY of this paper, where the required trisection angle was found to be one-third of its respective angle (i.e. DE’MA = 1/3 DE’CG). For example, the trisection angle for the 30˚, 45˚ and 60˚ angles were 10.00000˚, 15.00000˚, and 20.00000˚, respectively, and Section 5 on PROOF in this paper. Therefore, based on this identical angular relationship and the numerical results (i.e. to five decimal places), which represent the highest degree of accuracy and precision attainable by The Geometer’s Sketch Pad software, one can only conclude that not only the geometric requirements for arriving at an exact trisection of the 30˚ and 60˚ angle (which have been “proven” to be not-trisectable) have been met, but also, the construction is valid for any arbitrary acute angle, despite theoretical proofs to the contrary by Wantzel, Dudley, and others.

INDUCTION OF APOPTOSIS IN S-180 AND S-180R TUMOR CELLS BY ADRIAMYCIN IN VIVO

Apoptosis of tumor cells have become a new standard for chemotherapy. It is useful to demonstrate induction of apoptosis in tumor cells by anti-cancer drugs in vivo. We reported the results of apoptosis induction in murine tumor cell line S-180 and it's resistant cell line S-180R by adriamycin in different dose and different time. We found that apoptosis in S-180 cells could be induced by low dose of adriamycin, the apoptosis was started at 24 h. after the administration, and reached to 62.5% of the cells to apptosis until 72 h. Comparison with the parental cell line, only 13% of S-180R cells were apoptosed. At high dose, 20% of S-180R cells were apoptosed, whereas, almost all S-180 cells were killed in the same time. The lymphocytes were appeared in abdominal cavity of the mice after treatment of adriamycin for 24 h. It was very interested to find out that there was no lymphocyte left in the abdominal cavity of the mice with S-180R cells treated at high dose of adriamycin.

光诱导基于EDA机理构建S-芳基黄原酸酯新策略

黄原酸酯类化合物作为药物化学、农业化学、材料化学中重要的组成部分,一直备受化学家们的关注.寻找简单、高效合成S-芳基取代黄原酸酯的方法引起了研究者广泛的关注.报道了一种可见光诱导下基于硫负离子与噻蒽盐间的EDA(电子供体受体)过程实现C-S键构建的新策略.在温和无金属的条件下,以中等至优良的收率得到了一系列S-芳基黄原酸酯,克级实验与日光实验证明了反应的应用潜力,为黄原酸酯类化合物的合成提供了一种新思路.

Existence of Monotone Positive Solution for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function

This paper is concerned with the following fourth-order three-point boundary value problem , where , we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones and iterative technique.

(S,T)-WEAK TRACTABILITY OF MULTIVARIATE LINEAR PROBLEMS IN THE AVERAGE CASE SETTING

The purpose of this article is to investigate (s, t)-weak tractability of multivariate linear problems in the average case set ting. The considered algorithms use finitely many evaluations of arbitrary linear functionals. Generally, we obtained matching necessary and sufficient conditions for (s,t)-weak tractability in terms of the corresponding non-increasing sequence of eigenvalues. Specifically, we discussed (s, t)-weak tractability of linear tensor product problems and obtained necessary and sufficient conditions in terms of the corresponding one-dimensional problem. As an example of applications, we discussed also (s,t)-weak tractability of a multivariate approximation problem.

EXISTENCE OF SOLUTION FOR BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION

This paper is concerned with the boundary value problem of a nonlinear fractional differential equation. By means of Schauder fixed-point theorem, an existence result of solution is obtained.

(r, s)-STABILITY OF UNFOLDING OF г-EQUIVARIANT BIFURCATION PROBLEM

In this paper,the (?)-equivariant (s, t)-equivalence relation and (?)-equivariant infinitesimally (r, s)-stability of (?)-equivariant bifurcation problem are defined. The criterion for (?)-equivariant infinitesimally (r, s)-stability is proven when (?) is a compact finite Lie group .Transversality condition is used to characterize the stability.

EKELAND'S PRINCIPLE FOR SET-VALUED VECTOR EQUILIBRIUM PROBLEMS

In this paper, we introduce a concept of quasi C-lower semicontinuity for setvalued mapping and provide a vector version of Ekeland＇s theorem related to set-valued vector equilibrium problems. As applications, we derive an existence theorem of weakly efficient solution for set-valued vector equilibrium problems without the assumption of convexity of the constraint set and the assumptions of convexity and monotonicity of the set-valued mapping. We also obtain an existence theorem of ε-approximate solution for set-valued vector equilibrium problems without the assumptions of compactness and convexity of the constraint set.