Common Fixed Point Results for Occasionally Weakly Compatible Maps in G-Symmetric Spaces

The notion of a G-symmetric space is introduced and the common fixed points for some pairs of occasionally weakly compatible maps satisfying some contractive conditions in a G-symmetric space are proved. The results extend and improve some results in literature.

Instructions for Authors

International Journal of Minerals,Metallurgy and Materials is dedicated to the publication and the dissemination of original research articles(and occasional invited reviews)in the fields of Minerals,Metallurgy and Materials.It is covered by EI Compendex,SCI Expanded,Chemical Abstract,etc.

THOUGHTS FOR A NEW ERA

The Paris 2024 Olympic Games came to an end on 11 August.As an avid sports fan,Chinese President Xi Jinping has cheered for China’s sports cause on many occasions and pointed the direction for building a leading sports nation.

TEAR DROP PATTERN " POTASH DEPOSITS IN LACUSTRINE FACIES

It is well known that there are two patterns of potash deposition in lacustrine fades: " tear drop pattern " (the Dabsan saline lake is a typical example)and " bull’s eye pattern " . Potash-forming in tear drop pattern is still continuing.The 2,678 m A . S. L . lake in the middle of the Qarhan playa in the Qaidam Basin covers an area of 210 km2 , and has an average depth of 0.39 m. Its MgCh type surface brine is 280-340 g/1 in salinity and mainly consists of Na, K, Mg and Cl. As a rule, the potash deposits occur as evaporite distributed in tear drop pattern at the northern and northeastern lakeshore zones. They mostly consist of carnallite and halite, occasionally sylvite.The deposition is very unstable and controlled principally by the varying supply of deposit materials from the Golmud River in the south.The potash deposits were formed when concentration of the surface brine reached a certain degree in the main evaporating season. Their forming process followed some crystalization paths in the phase

Diversity and production in an Afromontane Forest

Background：This contribution evaluates the effect of forest structure and tree species diversity on plot productivity and individual tree growth in the unique Knysna forests in Southern Africa using mapped tree data from an observational study that has been re-measured over a period of 40 years.Methods：The effects of tree species diversity and forest structure on tree growth and forest production are evaluated on three levels of resolution：a） the forest community（canopy,sub-canopy species）,b） the subplots（number of trees per ha,skewness of the diameter distribution,diameter coefficient of variation） and c） the immediate neighborhood of selected reference trees（＂Mingling＂,＂Dominance＂,Aggregation＂ and ＂Size Variation＂）.Results：An analysis of the community level identified two distinct clusters,one including dominant/canopy species with the highest growth rates and a greater variation of growth,and another cluster which includes the remaining subcanopy species which have a smaller maximum size and lower rates of growth.The area-based structure variables on plot level have a highly significant effect on total basal area growth.However,the effects of forest density and species richness on productivity were not straight forward.Maximum basal area production of about 0.75 m^2/ha/year is achieved at medium levels of richness（around 20 species per ha） and medium levels of density（around 30 m^2/ha basal area） using percentile regression estimates.The relative ＂Dominance＂ of a selected reference tree had a highly significant effect on individual tree growth on all investigated species.Other neighbourhood structure variables were only occasionally significant or not significant at all.Conclusion：This contribution presents a new theoretical framework for analysing natural forests that includes community,plot and neighborhood variables of forest structure and diversity,and a first specific analysis of the structure and dynamics of the Knysna Afromontane Forest,based on a unique set of longterm observations.The species-area（SAR） model developed in this study,represents a new general approach that can be used to derive a common standard of tree species diversity for different plot sizes,the species richness per hectare.

Case report of unilateral electric cataract with transmission electron microscopy image

Dear Sir,We hereby report a case of unilateral electric cataract with transmission electron microscopy（TEM）image.Ocular injuries induced by electricity can occur simultaneously or sequentially with the electric event,and occasionally occur later than the initial event.There are many ocular manifestations,with the most common one being

Age-related habitat selection by brown forest skinks(Sphenomorphus indicus)

In reptiles, habitat selection is the process whereby suitable habitat is selected that optimizes physiological functions and behavioral performance. Here, we used the brown forest skink（Sphenomorphus indicus） as a model animal and examined whether the frequency of active individuals, environmental temperature, illumination of activity area, and habitat type vary with different age classes. We surveyed the number of active individuals and measured environmental variables at Baiyunshan Mountain in Lishui, Zhejiang, China. We found no difference in the activity frequency of adult and juvenile S. indicus; the activity pattern of active individuals was bimodal. The mean environmental temperature selected by adults was higher than that selected by juveniles. The environmental temperature of active areas measured at 0900-1000 h and 1100-1200 h was higher than at 1400-1500h; illumination of the active area at 1000-1200 h was also higher than at 1400h-1600 h. The number of active individuals, the environmental temperature and illumination of activity areas showed pairwise positive correlation. There was a difference in habitat type between juveniles and adults whereby juveniles prefer rock habitats. We predict that active S. indicus select optimal habitats with different environmental temperatures and types to reach the physiological needs particular to their age classes.

Service Information

Aims and Scope Journal of Geriatric Cardiology (JGC) is a biomedical quarterly published by the Institute of Geriatric Cardiology, China.The purpose of JGC is to provide a forum for the exchange of information,ideas and opinions between physicians and researchers in the East and in the West.JGC publishes peer-reviewed articles that are relevant to the care of older persons with cardiovascular disease,especially those with concomitant disease of other major organ-systems,such as the lungs,the kidneys,liver,central nervous system,gastrointestinal tract or endocrines,etc.JGC also occasionally republishes, with permission,articles of scientific or clinical excellence that have appeared in Chinese-language journals.Regular features of the Journal include:clinical research,laboratory research,review article,case report and letter to the editor.

MECHANISM OF ACUPUNCTURE IN SUPPRESSING EPILEPTIC SEIZURES

Suppression of epileptic seizure byacupuncture was described early in the an-cient medical literature,and now this treat-ment is occasionally seen reported.The chiefadvantage of the acupuncture treatment isabsence of side-effects which antiepilepticdrugs usually have.Patients showing no re-sponse to drugs have been reported curedwhen treated by acupuncture.

TREATMENT OF SENILE HYPERTENSION BASED ON DIFFERENTIAL DIAGNOSIS OF SYNDROMES

Senile hypertension is a common disor-der frequently seen in senile persons, its in-cidence being 7.73% in the general popula-tion and 20.6% in persons aged over 60years in China. In Beijing, hypertensionheads the list of senile diseases. In Europeand America, one third of the

INTRAVENOUS PRIMAXIN(Imipenem-Cilastation Sodium/MSD)

Contraindications: PRIMAXIN is contraindicated in patients who have shown hypersensitivity to any component of this product. Warnings: Serious and occasionally fatal hypersensitivity(anaphylactic) reactions have been reported in patients teceiving therapy withbeta lactams. These reactions are more apt to occut in persons with a history of sensitivity to multiple allergens.

Some Common Fixed Point Theorems in Menger Space

This paper consists four sections. First section is central to the text. In second section, we generalize the results of Kohli and Vashistha [1] for pairs of mappings using weakly compatible maps. Third section deals the results for pair of weakly compatible maps along with property (E.A.) using different types of control functions, which generalize the results of Kohli and Vashistha [1] and Kubiaczyk and Sharma [2]. Fourth section is concerned with results for occasionally weakly compatible maps and generalizes, extends and unifies several well known comparable results in literature.

Fixed Point Theorems in Cone Symmetric Spaces

In this paper, some common fixed point theorems for general occasionally weakly compatible selfmaps and non-selfmaps on cone symmetric spaces were proved. The interesting point of this paper is that we do not assume that the cone is solid. Our results generalize and complete the corresponding results in [9-15].

《大学英语》(上外版)系列辅导(2)

Unit 3 The Present Language Points: 1.rare:a.稀有的,罕见的,不常发生的。例如: (1)The panda is now a rare animal.熊猫现在是稀有动物。 (2)It is rare for her to go to class late.她上课很少迟到。

介词短语单复数的歧义

英语中某些介词短语有单数形式,也有复数形式,其复数并不是单数的多数概念,在含义上有明显的差别,现举例比较如下: 一、at a time,at times,at all times at a time意为“每次”,相当于each time或one on eachoccasion;at times意为“有时”、“不时”,与occasionally及now and then的意思较接近;at all times表示“无论何时”、“随时”的意思,与对at any time或always的意义相近。例如: 1.Every afternoon he would go along to the shop andread a little of the book at a time.

A Study of Morpheme Order of Acquisition Through Obligatory Accasion Anlysis

Much consideration has been given to the study of certain grammatical morphemes by researchers.The study of learners' use of morphemes through obligatory analysis has important implications for both second language acquisition and the second language teaching.It suggests that some linguistic features,particularly grammatical features,are inherently easier to learn than others.For example,in this study,the fact that learners master article before 3rd person singular suggests that article in some sense easier to learn.

Synchronization of Unified Chaotic System Using Occasional Driving

The synchronization of the unified chaotic systems using occasional driving technique is studied. The relation among interim period T , sampling interval 2 ε , feedback gain r and the parameter α of the system is thoroughly investigated. Numerical results show that smaller interim period T and properly larger sampling interval 2 ε can accelerate the synchronizing pace. Furthermore, for a unified chaotic system in which α is given, we can achieve satisfying synchronizing results as long as T,ε and r are appropriately chosen. As we adopt the occasional driving method, we greatly reduce the control cost. Therefore with this method we can obtain the expecting goals with little control cost.

互联网时代规划鞋款就是规划鞋企的未来

也许很多人觉得很好奇:久违了的皮鞋样子,怎么突然间会出现在全国性竞赛赛场上呢?这种鞋款难道不是已经过时被淘汰了吗?2015年初,全国首届制鞋工职业技能竞赛赛事落幕不久,带着诸多的感触和体会,笔者由衷觉得,很有必要与同业们围绕鞋款这一话题共同探讨、交流,诸如,在互联网时代,各种鞋款是怎么分门别类的?将来的市场需求会发生怎样的变化?

One-dimensional PT-symmetric acoustic heterostructure

The explorations of parity-time(PT)-symmetric acoustics have resided at the frontier in physics,and the pre-existing accessing of exceptional points typically depends on Fabry-Perot resonances of the coupling interlayer sandwiched between balanced gain and loss components.Nevertheless,the concise PT-symmetric acoustic heterostructure,eliminating extra interactions caused by the interlayer,has not been researched in depth.Here we derive the generalized unitary relation for one-dimensional(1D)PT-symmetric heterostructure of arbitrary complexity,and demonstrate four disparate patterns of anisotropic transmission resonances(ATRs)accompanied by corresponding spontaneous phase transitions.As a special case of ATR,the occasional bidirectional transmission resonance reconsolidates the ATR frequencies that split when waves incident from opposite directions,whose spatial profiles distinguish from a unitary structure.The derived theoretical relation can serve as a predominant signature for the presence of PT symmetry and PT-symmetry-breaking transition,which may provide substantial support for the development of prototype devices with asymmetric acoustic responses.