Non-Zero Degree Maps Between 2n-Manifolds

Thom–Pontrjagin constructions are used to give a computable necessary and sufficient condition for a homomorphism ? : H n (L;Z) → H n (M;Z) to be realized by a map f : M → L of degree k for closed (n ? 1)-connected 2n-manifolds M and L, n > 1. A corollary is that each (n ? 1)-connected 2n-manifold admits selfmaps of degree larger than 1, n > 1. In the most interesting case of dimension 4, with the additional surgery arguments we give a necessary and sufficient condition for the existence of a degree k map from a closed orientable 4-manifold M to a closed simply connected 4-manifold L in terms of their intersection forms; in particular, there is a map f : M → L of degree 1 if and only if the intersection form of L is isomorphic to a direct summand of that of M.

Formula for calculating spatial similarity degrees between point clouds on multi-scale maps taking map scale change as the only independent variable

The degree of spatial similarity plays an important role in map generalization, yet there has been no quantitative research into it. To fill this gap, this study first defines map scale change and spatial similarity degree/relation in multi-scale map spaces and then proposes a model for calculating the degree of spatial similarity between a point cloud at one scale and its gener- alized counterpart at another scale. After validation, the new model features 16 points with map scale change as the x coordinate and the degree of spatial similarity as the y coordinate. Finally, using an application for curve fitting, the model achieves an empirical formula that can calculate the degree of spatial similarity using map scale change as the sole independent variable, and vice versa. This formula can be used to automate algorithms for point feature generalization and to determine when to terminate them during the generalization.

DEGREE THEORY FOR MULTIVALUED (S) TYPE MAPPINGS AND FIXED POINT THEOREMS

The main purpose of this paper is devoted to generalizing the results of Browder[1,2]This paper consists of four parts. In the first part, we introduce the concepts of multivalued (S) and (S), type mappings and the concepts of the limits of multivalued (S) and (S) + type mappings. These kinds of mappings contain many monotone type mappings, such as maximal monotone mapping, bounded pseudo-monotone mapping and bounded generalized pseudo-monotone mapping, as its special cases. In the second part we define the pseudo-degree for (S) type mapping and the degree for (S)+ type mapping. These two kinds of degrees are all the generalizations of the degree defined by Browder[1,2] As applications, we utilize the degree theory presented in part 2 to study the existence of solutions for the multivalued operator equations (see part 3) and to obtain some new fixed point theorems in part 4.

Comparison of detection results of hypoxic-ischemic encephalopathy at different degrees in infant patients between brain electrical activity mapping, transcranial Doppler sonography and computer tomography examinations

BACKGROUND： It has been proved that brain electrical activity mapping （BEAM） and transcranial Doppler （TCD） detection can reflect the function of brain cell and its diseased degree of infant patients with moderate to severe hypoxic-ischemic encephalopathy （HIE）. OBJECTIVE： To observe the abnormal results of HIE at different degrees detected with BEAM and TCD in infant patients, and compare the detection results at the same time point between BEAM, TCD and computer tomography （CT） examinations. DESIGN ： Contrast observation SETTING： Departments of Neuro-electrophysiology and Pediatrics, Second Affiliated Hospital of Qiqihar Medical College. PARTICIPANTS： Totally 416 infant patients with HIE who received treatment in the Department of Newborn Infants, Second Affiliated Hospital of Qiqihar Medical College during January 2001 and December 2005. The infant patients, 278 male and 138 female, were at embryonic 37 to 42 weeks and weighing 2.0 to 4.1 kg, and they were diagnosed with CT and met the diagnostic criteria of HIE of newborn infants compiled by Department of Neonatology, Pediatric Academy, Chinese Medical Association. According to diagnostic criteria, 130 patients were mild abnormal, 196 moderate abnormal and 90 severe abnormal. The relatives of all the infant patients were informed of the experiment. METHOOS： BEAM and TCD examinations were performed in the involved 416 infant patients with HIE at different degrees with DYD2000 16-channel BEAM instrument and EME-2000 ultrasonograph before preliminary diagnosis treatment （within 1 month after birth） and 1,3,6,12 and 24 months after birth, and detected results were compared between BEAM, TCD and CT examinations. MAIN OUTCOME MEASURES： Comparison of detection results of HIE at different time points in infant patients between BEAM. TCD and CT examinations. RESULTS： All the 416 infant patients with HIE participated in the result analysis. （1） Comparison of the detected results in infant patients with mild HIE at different time points after birth between BEAM, TCD and CT examinations： BEAM examination showed that the recovery was delayed, and the abnormal rate of BEAM examination was significantly higher than that of CT examination 1 and 3 months after birth [55.4%（72/130）vs. 17.0% （22/130 ）,x^2=41.66 ;29.2% （ 38/130 ） vs. 6.2% （ 8/130 ）, x^2=23.77, P 〈 0.01 ], exceptional patients had mild abnormality and reached the normal level in about 6 months. TCD examination showed that the disease condition significantly improved and infant patients with HIE basically recovered 1 or 2 months after birth, while CT examination showed that infant patients recovered 3 or 4 months after birth. （2） Comparison of detection results of infant patients with moderate HIE at different time points between BEAM, TCD and CT examinations： The abnormal rate of BEAM examination was significantly higher than that of CT examination 1,3,6 and 12 months after birth [90.8% （178/196）,78.6% （154/196）,x^2=4.32,P 〈 0.05;64.3% （126/196）,43.9% （86/196） ,x^2=16.44 ;44.9% （88/196） ,22.4% （44/196）,x^2=22.11 ;21.4% （42/196）, 10.2% （20/196）,x^2=9.27, P 〈 0.01]. BEAM examination showed that there was still one patient who did not completely recovered in the 24^th month due to the relatives of infant patients did not combine the treatment,. TCD examination showed that the abnormal rate was 23.1%（30/196）in the 1^st month after birth, and all the patients recovered to the normal in the 3^rd month after birth, while CT examination showed that mild abnormality still existed in the 24^th month after birth （1.0% ,2/196）. （3） Comparison of detection results of infant patients with severe HIE at different time points between BEAM, TCD and CT examinations： The abnormal rate of BEAM examination was significantly higher than that of CT examination in the 1^st, 3^rd, 6^th and 12^th months after birth[86.7% （78/90）,44.4% （40/90）,x^2=35.53;62.2% （56/90）,31.1% （28/90）,x^2=17.51 ;37.8% （34/90）,6.7% （6/90）, x^2=27.14, P 〈 0.01]. BEAM examination showed that mild abnormality still existed in 4 infant patients in the 24^th month after birth. TCD examination showed that the abnormal rate was 11.1% （10/90） in the 3^rd month after birth, and all the infant patients recovered in the 6^th month after birth. CT examination showed that the abnormal rate was 6.7%（6/90） in the 12^th month after birth, and all of infant patients recovered to the normal in the 24^th month after birth.CONCLUSION ： BEAM is the direct index to detect brain function of infant patients with HIE, and positive reaction is still very sensitive in the tracking detection of convalescent period. The positive rate of morphological reaction in CT examination is superior to that in TCD examination, and the positive rate is very high in the acute period of HIE in examination.

预估计混叠度的MAP超分辨率处理算法

提出一种预估计混叠度的PEMAP(pre-estimated MAP (maximum a posteriori))算法,用于卫星图像的地面超分辨率处理.它通过频域分析确定卫星图像的混叠度,将其作为先验信息在空域控制MAP估计的循环迭代,联合估计帧间位移和高分辨率图像.该算法克服了最大后验概率MAP算法的盲目性和不稳定性,使其适应性更好.实际的卫星图像处理显示了较好的处理效果.

联合估计混叠度,运动参数和高分辨率图像的JEMAP算法

本文提出一种空域联合估计混叠度,运动参数和高分辨率图像的JEMAP算法,以提高超分辨平处理的适应性,在地面上稳定地获得高于实测卫星图像中所用CCD设备成像精度的高清晰图像。算法根据星载CCD设备的成像机理,定义卫星图像的混叠度,确定超分辨率处理模型,通过空域迭代联合估计混叠度,运动参数和高分辨率图像。实际卫星图像处理表明JEMAP算法具有很好的适应性和穗定性,包含先验约束能力较强,可以解开欠采样低分辨率输入图像的混叠,重构清晰卫星图像。

基于Z-Map留量模型的补加工研究

补加工是CAM软件编程的关键技术之一,补加工就是适时确定毛坯的残留状态及残留量并据此生成相应刀具的精简高效、科学合理的刀轨。Z-Map留量模型是一种描述留量的几何模型,毛坯加工过程中不断变化的数字模型由大量的Z-Map点构成,Z-Map留量模型能如实反映毛坯适时的残留状态、可自动识别补加工区域且计算简单,对传统Z-Map留量模型的改进处理可提高加工精度及运算处理速度。基于Z-Map留量模型CAM软件易于实现补加工编程智能化。

MODIFIED ROPER-SUFFRIDGE OPERATOR FOR SOME SUBCLASSES OF STARLIKE MAPPINGS ON REINHARDT DOMAINS

In this note, the author introduces some new subcIasses of starlike mappings S^＊Ωn1p2,…,pn（β,A,B）={f∈H（Ω）：｜itanβ＋（1-itanβ）2/p（z）аp/аz（z）Jf^-1（z）f（z）-1-AB/1-B^2｜〈B-A/1-B^2},on Reinhardt domains Ωn1p2,…,pn=z∈C^n：｜z1｜^2＋n∑j=2｜zj｜^pj〈1}where - 1≤A〈B〈1,q=min{p2,…,pn}≥1,l=max{p2,…,pn}≥2 and β ∈（-π/2,π/2）.Some different conditions for P are established such that these classes are preserved under the following modified Roper-Suffridge operator F（z）=（f（z1）＋f＇（z1）Pm（z0）,（f＇（z1））^1/mz0）＇where f is a normalized biholomorphic function on the unit disc D, z = （z1,z0） ∈Ωn1p2,…,pn,z0=（z2,…,zn）∈ C^n-1.Another condition for P is also obtained such that the above generalized Roper-Suffridge operator preserves an almost spirallike function of type/3 and order β These results generalize the modified Roper-Suffridge extension oper-ator from the unit ball to Reinhardt domains. Notice that when p2 = p3 …=pn = 2,our results reduce to the recent results of Feng and Yu.

Classification of rational holomorphic maps from B^2 into B^N with degree 2

Rational proper holomorphic maps from the unit ball in C 2 into the unit ball C N with degree 2 are classified, up to automorphisms of balls.

MRI T2-mapping检查在颈椎间盘退行性变程度评估中的应用价值研究

目的探讨MRI T2-mapping检查在颈椎间盘退行性变程度评估中的价值。方法选取2020年2月—2021年5月我院53例受检者行常规颈椎MRI及T2-mapping扫描,行颈椎间盘Pfirrmann分级及髓核T2值测定,分析髓核T2值与Pfirrmann分级的相关性,绘制受试者工作特征(ROC)曲线分析髓核T2值对Pfirrmann分级的诊断准确度,同时比较不同年龄段、颈椎间盘节段髓核T2值。结果53例受检者共265个颈椎间盘,MRI髓核T2值随Pfirrmann分级升高而逐渐降低(P<0.01);不同Pfirrmann分级受检者MRI髓核T2值存在明显差异(P<0.05)。Spearman相关性分析显示,髓核T2值与Pfirrmann分级呈负相关(r=-0.673,P<0.01)。ROC曲线显示,髓核T2值诊断Ⅰ级和Ⅱ级、Ⅱ级和Ⅲ级、Ⅲ级和Ⅳ级颈椎间盘退行性变的准确度中等,曲线下面积分别为0.739、0.817及0.784。22~30岁受检者中,不同颈椎间盘节段MRI髓核T2值存在明显差异(P<0.01);31~45岁受检者不同颈椎间盘节段MRI髓核T2值明显小于22~30岁受检者(P<0.01)。结论MRI T2-mapping检查可用于颈椎间盘退行性变程度的评估,髓核T2值具有定量检测颈椎间盘退行性变程度的潜能,在疗效评估、病情监测等方面起重要作用。

Compilation of hydrogeological map of China

Hydrogeological map is one of the important carriers of groundwater related information.It directly reflects the hydrogeological conditions and previous investigation and research results of a mapping area.The hydrogeological map of China is a map reflecting the characteristics of hydrogeology and groundwater dynamics on a national scale.On the basis of the hydrogeological map of China(1:4000000)compiled in 1988,this map compilation attempted to update and enhance the existing map,with the latest survey results from the project of National Investigation and Evaluation of Groundwater Resources and Environmental Problems led by China Geological Survey.Task of the mapping program included redefining groundwater types,quantifying the classification standard of the groundwater and adding the pore-fissure water in laterite layer of hilly basin.The multilayer structures for porous,karst and porous-fractured groundwater and their water-rich grades are reflected on the map.Based on the comprehensive summary of the latest hydrogeological data of China,this research conducts an in-depth analysis of the regional distribution characteristics of groundwater in China,utilizes a digital mapping process and establishes a cartographic database for the purpose of further use.With the enrichment of the content and the continuous improvement of cognitive level,mapping content can be updated quickly,which has practical significance for the concept of surveying and mapping and scientific popularization.

Brouwer degrees of gradient maps of isoparametric functions

The Brouwer degree of every isoparametric gradient map has been given by using moving frame. It has been used to construct the harmonic representations of the elements of homotopy groups of the spheres.

Brouwer degrees of the gradient maps of isoparametric functions

Let M,N be oriented closed manifolds of dimension n.Denote the Brouwer degree ofa smooth map g: M→N by deg（g）.It is well known that deg（g）=sum from x∈g-1（y） sign dgx,where yis a regular value of g.When M=N=Sn+1,the homotopy class [g]∈multiply from n+1 Sn+1≌Z is deter-mined by the Brouwer degree of g.Since finding a harmonic representative of an elementin multiply from n+1 Sn+1 is important（see refs.[1—3]）,it is necessary to calculate the Brouwer degree ofa map.

Realization of Numbers As the Degrees of Maps between Manifolds

We determine the set of degrees between some classes of oriented closed （n - 1）-connected 2n-manifolds by using the arithmetic theory of quadratic forms.

NEW FIXED POINT THEOREMS FOR P_1-COMPACT MAPPINGS IN BANACH SPACES

E E. Browder and W. V. Petryshyn defined the topological degree for A- proper mappings and then W. V. Petryshyn studied a class of A-proper mappings, namely, P1-compact mappings and obtained a number of important fixed point theorems by virtue of the topological degree theory. In this paper, following W. V. Petryshyn, we continue to study P1-compact mappings and investigate the boundary condition, under which many new fixed point theorems of P1-compact mappings are obtained. On the other hand, this class of A-proper mappings with the boundedness property includes completely continuous operators and so, certain interesting new fixed point theorems for completely continuous operators are obtained immediately. As a result of it, our results generalize several famous theorems such as Leray-Schauder＇s theorem, Rothe＇s theorem, Altman＇s theorem, Petryshyn＇s theorem, etc.

智能化测绘背景下测绘工程专业本硕博一体化人才培养模式的探索与实践

智能化测绘背景下的测绘工程专业承担着对接国家战略需要、加速学科转型升级、培养行业拔尖创新人才的重要任务。面对当前测绘类人才培养内容重复、周期较长的问题,本文以中国矿业大学测绘工程专业本硕博一体化培养模式为例,从构建一体化的课程体系、一体化的培养机制、一体化的实践创新平台和一体化的学生支持体系4个方面,深入探讨了如何培养具有国际视野、公益精神、创新意识、实践能力的智能化测绘拔尖创新人才。

基于行为特征的雷达辐射源威胁评估

针对当前雷达辐射源威胁评估对精确侦察数据依赖性较大的问题,提出一种基于行为特征的雷达辐射源威胁评估算法。从辐射源目标行为特征和数据融合理论出发,建立基于行为特征的辐射源威胁评估体系,并采用模糊理论和Vague数据集对各子行为进行表示;考虑到指标间的耦合性和空战的高动态性,利用改进的区间灰色关联度修正初始权重,建立以距离为自变量的态势状态函数,为各子行为动态赋权;采用改进的雷达图法计算威胁目标的威胁程度。仿真结果表明:所提算法具有较好的准确性和适应性。

Finiteness of Mapping Degree Sets for 3-Manifolds

By constructing certain maps, this note completes the answer of the question： For which closed orientable 3-manifold N, is the set of mapping degrees D（M, N） finite for any closed orientable 3-manifold M？

干预图在卵巢癌腹腔镜手术护理中的应用效果研究

目的探究干预图在卵巢癌腹腔镜手术护理中的应用效果。方法选择2020年1月—2022年12月在本院行卵巢癌腹腔镜手术的62例患者作为研究对象,随机分为观察组(基于干预图护理)和对照组(常规手术护理)两组,每组各31例。比较两组手术配合度、手术相关指标、不良情绪、并发症情况及康复进程。结果与对照组相比,观察组手术间布局合理、仪器设备使用方便、手术体位对操作影响小、器械摆台合理、器械传递更准确、器械传递及时、医护配合得分更高(P<0.05)。观察组尿管留置时间、术前准备时间、术后排气时间及住院时间较对照组缩短(P<0.05),但术中出血量和手术时间与对照组比较,差异无统计学意义(P>0.05)。观察组护理后焦虑自评量表(SAS)和抑郁自评量表(SDS)得分低于对照组(P<0.05)。观察组并发症发生率(6.45%)低于对照组(25.81%)(P<0.05)。观察组恢复正常饮食时间、开始自行洗漱时间、术后切口疼痛消失时间及开始正常活动时间更短(P<0.05)。结论卵巢癌腹腔镜手术护理采用干预图可提高手术配合度,改善患者手术相关指标,减少并发症,还能促进康复进程。