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本文以本征函数展开的方法,研究了波导管中格林函数的一般性质和形式。为了得到波导管的本征函数(简正波)和格林张量函数的一些关系,我们首先对格林函数作富氏变换,它的象函数在各向同性介质波导中以并矢形式作为最简单的表达方法,而在充有各向异性介质波导中可以表为ABA+e-ikz0的形式,这里A是坐标矩阵。用这种方法详细推导了均匀各向同性介质波导中的并矢格林函数。
关键词: 相似文献
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本文针对线性比式和分式规划问题,提出一种求其全局最优解的完全多项式时间近似算法,并从理论上证明该算法的收敛性和计算复杂性,数值算例也说明了算法是可行的. 相似文献
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REN Zhihua KU Tingting REN Mengyao LIANG Jiefeng NING Xia XU Hanqing REN Danqin ZHOU Qunfang SANG Nan 《高等学校化学研究》2023,39(3):342-360
The increasing production and extensive application of chemicals have led to their unintended release and contamination in the environment, posing a hazardous threat to wildlife and human health. Numerous studies have demonstrated that developmental toxicity could be induced by various emerging chemicals, causing abnormal embryonic and placental development, adverse pregnancy outcomes, obesity, and dysfunction of lipid metabolism in neonates. Given the currently-available experimental technology for developmental toxicological studies, an in vitro model based on stem cells showed promising performance in high-throughput screening of the early-stage developmental toxicity of emerging chemicals. In this review, the deleterious effects of environmental pollutants on stem cells were systemically assorted from the aspects of cytological dysfunction, self-renewal impairment, perturbation in embryoid body(EB) formation, and disruption of committed lineage differentiation. The toxicological data on the molecular level, including the altered expressions of gene and protein biomarkers, epigenomic regulation, and enhanced oxidative stress, were collected and summarized to provide the mechanism explanation for the link between environmental pollutant exposure and unfavorable phenotypes in stem cells. The advantage of the stem cell model in developmental toxicological studies was specifically emphasized. And the perspectives for stem cells were ultimately highlighted in the research field of environmental toxicology, especially developmental toxicology during the early stage of life. 相似文献
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In this paper, it is proved that the problem of composite beams jointed by bolts can be solved in terms of certain equivalent continuous beams. The equivalent beam is specified as follows: 1) It consists of supports of the original beam and equivalent supports situated at the points where bolts are used. 2) It is loaded by the given load on the original beam.Then the reactions at the bolts in the original composite beam are equal to a constant C times the reactions at various supports of the equivalent continuous beam. The constant is equal to C=(E′J′-k(EJ+E′J′))/(EJ+E′J′), where EJ and E′J′ are flexaral rigidities of the first and second parts of the composite beam respectively, and k is the distributing ratio of load on the second part.The solution of the problem is then greatly simplified.This method can be generalized for composite beams consisting of more than two parts, on which the given load is not proportionately distributed. 相似文献
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Meiyuan Qi Hui Pan Hongdou Shen Xianmeng Xia Chu Wu Xiaoke Han Xingyue He Wei Tong Xia Wang Qigang Wang 《Angewandte Chemie (International ed. in English)》2020,59(29):11748-11753
The design of enzyme mimics from stable and nonprotein systems is especially attractive for applications in highly specific cancer diagnosis and treatment, and it has become an emerging field in recent years. Herein, metal crosslinked polymeric nanogels (MPGs) were prepared using FeII ion coordinated biocompatible acryloyl‐lysine polymer brushes obtained from an enzyme‐catalyzed atomic transfer radical polymerization (ATRPase) method. The monoatomic and highly dispersed Fe ions in the MPGs serve as efficient crosslinkers of the gel network, and also as active centers of multienzyme mimics of superoxide dismutase (SOD) and peroxidase (POD). The catalytic activities were compared to those of conventional Fe‐based nanozymes. Studies on both cells and animals verify that efficient reactive oxygen species (ROS) responsive biofluorescence imaging can be successfully realized using the MPGs. 相似文献
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用磷钼酸与咪唑合成了一种新的杂多酸-有机电荷转移盐(C3H5N2H)3[PMo12O40]。通过元素分析、红外光谱、固体漫反射光谱、电子自旋共振及热分析等测试技术对其进行了表征,用单扫描法(Achar法和Coats-Redfern法)对合成化合物的TG分析结果进行了非等温热分解动力学研究。推断结果表明,合成化合物的第1步热分解为球对称的三维扩散机理(n=2),其动力学方程为dα/dt=1.58×108[1-(1-α)1/3]-1(1-α)2/3exp(-40931.0/T),求得分解反应的表观活化能E=340.30kJ/mol,指前因子A=1.05×108s-1。标题化合物对紫外光具有光致变色性质,用固体漫反射光谱研究了其光致变色反应动力学。结果显示,其光致变色反应表现为一级或准一级动力学,速率常数k=9.80×10-5s-1。 相似文献