Ostrowski’s Type Inequalities for Generalized(h,m)−Preinvex Functions with Its Applications

A new concept generalized(h,m)−preinvex function on Yang’s fractal sets is proposed.Some Ostrowski’s type inequalities with two parameters for generalized(h,m)−preinvex function are established,where three local fractional inequalities involving generalized midpoint type,trapezoid type and Simpson type are derived as consequences.Furthermore,as some applications,special means inequalities and numerical quadratures for local fractional integrals are discussed.

Microglia:a promising therapeutic target in spinal cord injury

Microglia are present throughout the central nervous system and are vital in neural repair,nutrition,phagocytosis,immunological regulation,and maintaining neuronal function.In a healthy spinal cord,microglia are accountable for immune surveillance,however,when a spinal cord injury occurs,the microenvironment drastically changes,leading to glial scars and failed axonal regeneration.In this context,microglia vary their gene and protein expression during activation,and proliferation in reaction to the injury,influencing injury responses both favorably and unfavorably.A dynamic and multifaceted injury response is mediated by microglia,which interact directly with neurons,astrocytes,oligodendrocytes,and neural stem/progenitor cells.Despite a clear understanding of their essential nature and origin,the mechanisms of action and new functions of microglia in spinal cord injury require extensive research.This review summarizes current studies on microglial genesis,physiological function,and pathological state,highlights their crucial roles in spinal cord injury,and proposes microglia as a therapeutic target.

On Certain Properties of Trigonometrically <i>ρ</i>-Convex Functions

The aim of this paper is to prove that the average function of a trigonometrically ρ-convex function is trigonometrically ρ-convex. Furthermore, we show the existence of support curves implies the trigonometric ρ-convexity, and prove an extremum property of this function.

川崎病合并肝功能损害实施血清生化与免疫球蛋白M检测的临床价值研究

目的 分析川崎病(KD)合并肝功能损害实施血清生化和免疫球蛋白(Ig)M检测的价值。方法 选取66例KD患儿,根据肝功能指标是否正常分为观察组(肝功能指标异常, 13例)与对照组(肝功能指标正常, 53例)。检测并对比两组患儿的血常规和炎症指标[白细胞计数(WBC)、中性粒细胞绝对值(PMN)、血红蛋白(Hb)、血小板计数(PLT)、降钙素原(PCT)、C反应蛋白(CRP)、红细胞计数(RBC)]、肝功能指标[总胆红素(TBIL)、总胆汁酸、γ-谷氨酰转肽酶(GGT)、天冬氨酸转氨酶(AST)、丙氨酸转氨酶(ALT)]、心脏功能指标[羟丁酸脱氢酶(HBDH)、乳酸脱氢酶(LDH)、肌酸激酶同工酶(CK-MB)、肌酸激酶(CK)]、体液免疫指标(IgM、IgG、IgA、IgE)。结果 观察组PCT、CRP、PMN水平高于对照组,组间对比有显著差异(P<0.05);两组PLT、Hb、RBC、WBC组间对比无差异(P>0.05)。观察组TBIL(16±14)μmol/L、总胆汁酸(76±74)μmol/L、GGT(109±60)U/L、AST(108±77)U/L、ALT(113±70)U/L均高于对照组的(6±3)μmol/L、(19±29)μmol/L、(29±36)U/L、(37±15)U/L、(25±23)U/L,组间对比有显著差异(P<0.05)。观察组HBDH(281±83)U/L、LDH(400.0±135.0)U/L、CK-MB(41.0±26.0)U/L、CK(73±60)U/L与对照组的(226±130)、(340.1±118.9)、(34.0±29.1)、(69±42)U/L对比无差异(P>0.05)。观察组IgE(493±54)ng/ml、IgG(9±6)g/L、IgA(1±0)g/L与对照组的(523±62)ng/ml、(10±5)g/L、(1±0)g/L对比无差异(P>0.05);观察组IgM(0.9±0.3)g/L低于对照组的(1.2±0.2)g/L(P<0.05)。结论 KD合并肝功能损害患儿的PCT、PMN以及CRP水平均升高,但是血清IgM水平降低,说明KD会导致肝损伤,进而对体液免疫产生影响,在诊断、监测以及选择治疗措施中意义重大。

Inequalities for Tφ-convex functions

In this paper, the Tφ-convex functions were introduced as a generalizations of convex functions. Then the characteristics of the Tφ-convex functions were discussed. Furthermore, some new inequalities for the Tφ-convex functions were derived.

行为m-NA随机变量阵列的完全收敛性

利用截尾方法和矩不等式,在更一般的条件下对m-NA阵列行和的收敛性进行了研究,并得到了m-NA阵列的完全收敛性.所得结果改进了文献[6]的研究结果。

INITIAL COEFFICIENT ESTIMATES FOR SOME SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

In the present investigation, we consider two new general subclasses B∑m（T, λ; α）and B^∑m （τ λ;β） of Em consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. For functions belonging to the two classes introduced here, we derive non-sharp estimates on the initial coefficients [a-~＋ll and │a2＋1│. Several connections to some of the earlier known results are also pointed out.

Chemical Reactivity Theory (CRT) Study of the Melanoidin M8: Local Conceptual Density Functional Theory Descriptors

This study evaluated a fixed long-range corrected range-separated hybrid (RSH) density functional associated with the Def2TZVP basis set alongside the Solvation Model based on Density (SMD) for the computation of the structure, molecular properties and chemical reactivity of the M8 intermediate melanoidin pigment. The preference of the active sites pertinent to radical, nucleophilic and electrophilic attacks is made through linking them with the electrophilic and nucleophilic Parr functions, Fukui function indices, and condensed Dual Descriptor. This study showed that the MN12SX density functional is the most suitable one for predicting the chemical reactivity of this system.

Coefficient Estimates for a Class of m-fold Symmetric Bi-univalent Function Defined by Subordination

In this paper, we investigate the coefficient estimates of a class of m-fold bi-univalent function de?ned by subordination. The results presented in this paper improve or generalize the recent works of other authors.

Density functional calculations on the geometric structure and properties of the 3d transition metal atom doped endohedral fullerene M@C_(20)F_(20)(M=Sc-Ni)

This paper uses the generalised gradient approximation based on density functional theory to analyse the geometric structure and properties of the 3d transition metal atom doped endohedral fullerene M@C20F20 （M = Sc-Ni）. The geometric optimization shows that the cage centre is the most stable position for M, forming the structure named as M@C20F20-4. The inclusion energy, zero-point energy, and energy gap calculations tell us that Ni@C20F20-4 should be thermodynamically and kinetically stablest. M@C20F20-4 （M = Sc-Co） possesses high magnetic moments varied from 1 to 6 μB, while Ni@C20F20-4 is nonmagnetic. The Ni-C bond in Ni@C20F20-4 contains both the covalent and ionic characters.

DUALITY FOR MULTIOBJECTIVE FRACTIONAL PROGRAMMING INVOLVING n-SET FUNCTIONS

In this paper, two duality results are established under generalized ρ-convexity conditions for a class of multiobjective fractional programmign involvign differentiable n-sten functions.

A density functional theory structures, stabilities, and study on size-dependent electronic properties of bimetallic MnAgm （M=Na, Li; n ＋ m ≤ 7） clusters

The equilibrium geometries, relative stabilities, and electronic properties of MnAgm（M=Na, Li; n ＋ m ≤ 7） as well as pure Agn, Nan, Lin （n ≤ 7） clusters are systematically investigated by means of the density functional theory. The optimized geometries reveal that for 2 ≤ n ≤ 7, there are significant similarities in geometry among pure Agn, Nan, and Lin clusters, and the transitions from planar to three-dimensional configurations occur at n = 7, 7, and 6, respectively. In contrast, the first three-dimensional （3D） structures are observed at n ＋ m = 5 for both NanAgm and LinAgm clusters. When n ＋ m ≥5, a striking feature is that the trigonal bipyramid becomes the main subunit of LinAgm. Furthermore, dramatic odd-even alternative behaviours are obtained in the fragmentation energies, secondorder difference energies, highest occupied and lowest unoccupied molecular orbital energy gaps, and chemical hardness for both pure and doped clusters. The analytic results exhibit that clusters with an even electronic configuration （2, 4, 6） possess the weakest chemical reactivity and more enhanced stability.

Certain <i>pl</i>(<i>m</i>,<i>n</i>)-Kummer Matrix Function of Two Complex Variables under Differential Operator

The main aim of this paper is to define and study of a new matrix functions, say, the pl(m,n)-Kummer matrix function of two complex variables. The radius of regularity, recurrence relation and several new results on this function are established when the positive integers p is greater than one. Finally, we obtain a higher order partial differential equation satisfied by the pl(m,n)-Kummer matrix function and some special properties.

Higher-Order Minimizers and Generalized (F,<i>ρ</i>)-Convexity in Nonsmooth Vector Optimization over Cones

In this paper, we introduce the concept of a (weak) minimizer of order k for a nonsmooth vector optimization problem over cones. Generalized classes of higher-order cone-nonsmooth (F, ρ)-convex functions are introduced and sufficient optimality results are proved involving these classes. Also, a unified dual is associated with the considered primal problem, and weak and strong duality results are established.

SYNTHESIS OF FUNCTIONALIZED CALIX[4]ARENE BEARING [M]DAZOLE MOIETY TO SERVE AS CATALYTIC FUNCTION

Synthesis of catix[4]arene with one imidazolyl group on the upper rim is presented.

机器人抛光M-ZnS去除函数建模与工艺参数优化

为研究M-ZnS在机器人抛光过程中的材料去除模型和优化参数组合,探究M-ZnS光学元件的高精度、低成本、批量化制造方案,采用有限元法和数值仿真法,对M-ZnS的机器人抛光材料去除函数模型进行修正。基于有限元法建立了抛光盘的压力分布模型,采用曲线拟合方法得到了压力分布函数。仿真模型和实验数据对比表明,去除函数模型与实验数据中心相对偏差小于8%,证实了修正去除函数模型的有效性。然后,对抛光关键工艺参数进行优化,通过单因素实验法,获得了机器人抛光M-ZnS的优化工艺参数组合:对于10 mm的沥青盘,推荐压力为0.12~0.18 MPa,推荐的转速比为200/-10~200/-50 r/min。最后,采用修正的去除函数模型和优化工艺参数对100 mm口径的M-ZnS平面光学元件进行抛光,并对抛光前后的表面粗糙度和面形精度进行测量和对比。实验结果表明,经过单轮80.39 min抛光,表面质量明显提高,元件淡黄色逐渐褪去,表现为透明材料,面形PV从0.668μm降至0.229μm,收敛率为65%,表面粗糙度Sa从7.911 nm降低至2.472 nm,收敛率为68%。机器人抛光技术可作为M-ZnS光学元件高效高质量加工的重要手段。

Chrestenson Spectrum and Auto-Correlation Function of Inverse Permutations of Quick Trickle Permutations

In this paper, a sufficient and necessary condition of quick trickle permutations is given from the point of inverse permutations. The bridge is built between quick trickle permutations and m-value logic functions. By the methods of the Chrestenson spectrum of m-value logic functions and the auto-correlation function of m-value logic functions to investigate the Chrestenson spectral characteristics and the auto-correlation function charac- teristics of inverse permutations of quick trickle permutations, a determinant arithmetic of quick trickle permutations is given. Using the results, it becomes easy to judge that a permutation is a quick trickle permutation or not by using computer. This gives a new pathway to study constructions and enumerations of quick trickle permutations.

Electron Transfer Reaction between M-C_6H_6 and M^+-C_6H_6 Complexes in the Gas Phase: Density Functional Theory Study

DFT/BLYP method is used to theoretically investigate the electron transfer (ET) reactions between M (Li, Na, Mg)-C_6H_6 and M+-C_6H_6 complexes in the gas phase. The geometry optimization of the precursor complexes and the transition state in the process of ET reaction was performed at 6-31G basis set level. The activation energy. the coupling matrix element and the rate constant of the ET reaction are calculated at semi-quantitative level.

Calculation of Response Function for Bonner Sphere Spectrometer Based on Geant4

In order to make further studies on fusion neutron diagnosis on HL-2A /HL-2M,we have developed and succeeded in the calculation of the Response Function for a Bonner sphere spectrometer,which consists of eight polyethylene spheres with ^3He proportional counters inside.The response function of the Bonner spectrometer to neutrons is of fundamental importance for its neutron spectrum unfolding procedure and is directly related to the quality of the unfolded spectrum.In this paper,we calculated the response function to neutrons from 10^-9 MeV to100 MeV by Geant4.In order to test the accuracy of the Geant4 simulation,we apply it to measure an ^241Am-Be neutron source,and the measured neutron counts of the spectrometer and simulated counts are found to be highly consistent,with a relative error up to 9.3%.This has proven the calculation of the neutron response of the Bonner sphere spectrometer by Geant4 to be quite accurate.

利妥昔单抗联合环磷酰胺、泼尼松对特发性膜性肾病患者肾功能及血清抗M型磷脂酶A2受体抗体水平的影响

目的:探讨利妥昔单抗联合环磷酰胺、泼尼松对特发性膜性肾病(IMN)患者肾功能、血清抗M型磷脂酶A2受体(PLA2R)抗体水平等的影响。方法:选取2020年6月~2022年12月期间某院诊治的64例IMN患者作为研究对象,采用随机数字表法分为对照组和观察组,每组32例。所有患者均接受控制血压、调脂、抗凝等常规治疗,对照组患者在常规治疗基础上加用醋酸泼尼松片、注射用环磷酰胺,观察组患者在对照组治疗基础上加用利妥昔单抗注射液。比较两组患者血清白蛋白、血脂指标[总胆固醇(TC)和甘油三酯(TG)]、血清抗PLA2R抗体水平、肾功能指标[血清肌酐(Scr)、血尿素氮(BUN)]、24h尿蛋白定量(24hpro)及不良反应发生情况。结果:治疗后,两组患者血清白蛋白水平均升高(P<0.05),且观察组高于对照组(P<0.05);TC、TG水平均降低(P<0.05),且观察组低于对照组(P<0.05);血清抗PLA2R抗体水平均降低(P<0.05),且观察组低于对照组(P<0.05);Scr和BUN水平均降低(P<0.05),且观察组低于对照组(P<0.05);24hpro均降低(P<0.05),且观察组低于对照组(P<0.05)。两组患者不良反应发生率比较无统计学差异(P>0.05)。结论:利妥昔单抗联合环磷酰胺、泼尼松治疗可提高患者血清白蛋白水平,调节血清抗PLA2R抗体及血脂水平,改善患者肾功能,且不会增加不良反应的发生风险。