元代朱世杰的高次招差术研究

高次招差术是元代数学家朱世杰的重要成果,《四元玉鉴》中的“如象招数”门共有5问,均是招差问题,实际上是属于高阶等差级数求和,其求和是通过招差公式(即内插法公式)进行的.经研究验算,该5问都可以用同一公式计算求得,朱世杰在这里应用了四次及五次等间距内插公式,并且对此类问题有了一个比较系统和普遍的解法.     

经典Catalan数的组合背景

探讨了经典Catalan数在东、西方发现的年代和历史，特别介绍了中国清代数学家明安图(1692?一1763?)在17世纪30年代对Catalan数的首创性工作和应用。列出30种Catalan数的有关公式、组合模型或应用实例，并简要阐明其组合意义。     

明安图研究

内蒙古师范大学科学史研究所建所十年来,一直把对蒙古族杰出的科学家明安图(1692?～1763?)的系统研究列为重点项目。现将已发表有关论著、研究动态及国内、国际会议的情况综述如下。1984年,李迪出版了《中国数学史简编》一书,在“杜氏九术”与明安图的《割圆密率捷法》中,对     

宋元时期的高阶等差级数研究

通过对宋元时期中国数学家沈括、杨辉、朱世杰在“隙积”、“垛积”和“招差”方面所取得的成就的研究，发现高阶等差级数在宋元时期已经形成了比较正确、完备的体系。     

学习革命之关键在于掌握学习方法

变教育革命为学习革命，指示了人们对教育改革的新认识，即学习观的变革。以往学校的教学只管完成好“教”的任务，面忽视在“学”上下功夫。时代的发展要求教育必须招二兼顾起来。同时，更要注重对学生进行学习方法的指导，使他们在“学会”的基础上达到“会学”。     

一类二阶变系数线性微分方程的求解

通过自变量变换，将满足一定条件的二阶变系数线性微分方程转化为二阶常系数线性微分方程，进而求其通解，从而找到了二阶变系数线性微分方程的一个新的可积类型；同时，给出了欧拉方程“换元法”解法的一个理论依据．     

过大年，切勿疯玩啊

“贺新年祝新年，新的一年又来到，爆竹声声响得远……”过新年，放鞭炮！可是我们千万要小心，放鞭炮可不是像其他玩意那样可以闹着玩的，因为它有好多安全隐患呢！不过不放鞭炮又显得不热闹，怎样才能又安全又热闹？那就让豆芽来教你几招吧！     

武器遭遇“水土不服”

都说“外来的和尚会念经”。可这“和尚”要是换个地儿就水土不服，那么它不仅没法儿“念经”，搞不好连自己的小命部得搭进去!     

英语小知识

介词速记歌遇到几号要用on, 上午下午就用in。要用某日上下午, 用on换in才能行。午夜黄昏用at, 黎明用它也能行。at用在时刻前, 说“差”可要用上to, 说“过”只用past, 多说多练要记清。     

两指标连续鞅的二变差

两指标连续鞅的二变差黄玲（西安邮电学院基础课部，西安７１００６１；作者，女，３０岁，硕士）Ｍ．Ｓａｎｚ在［１］中对Ｍ∈μ４ｃ定义了“Ｍ的ｒ一变差”Ｐｋｉ（ｚ），证明了ｒ＞５时ｈｅ（ｚ）。０，又经过简单计算得到了ｐｈ（ｚ）一Ｍ及ｎｈ（ｚ）一６（）。，ｒ...     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Design and analysis of generic LBS application developing platform

Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that