美国大学入学考试SAT之预考PSAT/NMSQT数学部分介绍

美国国家荣誉奖学金公司（Nationa lMerit Scholarship Corporation，简称NMSC）是一家非赢利的私立组织，它管理着两个学术竞赛奖学金——美国学生荣誉奖学金项目（National Merit Scholarship Program）和美国学生成就奖学金项目（National Achievement Scholarship Program），这两个奖学金主要用于对高中11年级优秀学生的认可以及用作他们今后读大学的奖学金。美国学生荣誉奖学金项目于1955年美国国家荣誉奖学金公司成立之时便已实施，至今已发展成为规模较大，

GRE General数学部分全攻略

GRE考试(Graduate Record Examination）是为了帮助大学的录取委员会衡量和评估申请人的能力而设计并实施的。目前大多数美国研究生院均要求申请人提供GRE成绩。GRE考试分为两种：GRE General Test和GRE Subject Tests。General Test所考查的能力与考试者的专业背景无关，现阶段主要考查三个方面的内容：Analytical Writing，Verbal Reasoning和Quantitative Reasoning。Quantitative Reasoning就是我们常说的GRE数学。GRE Subject Tests里也有数学，难度比General Test里自然要高一些。但由于篇幅有限，我们这里只谈及General Test中的数学部分。

幼儿园数学教学解析——以加拿大安大略省《全日制幼儿园大纲(草案)》为例

2010年9月加拿大安大略省开始执行新制定的针对4~5岁幼儿的《全日制幼儿园大纲（草案）》,并制定了一系列相关方案,其中数学部分从教学目标、教学策略两个方面对数学教学进行了详细说明,文章旨在从教师教学的视角探讨其对我国幼儿园数学教学的借鉴意义。

如何准备GRE数字

现行的GRE General纸笔考试中数学部分(quantitative)主要考察考生对算术、几何、代数以及数值分析等的基本概念的理解，定量分析推理能力，以及解决相关应用问题的能力。目前数学部分均为选择题，分两个section，每个section有30道题，考试时间为每个section 30分钟。

Multiverse Spacetime

A theological train of reasoning is avoided in this paper. The properties of the equal operator presented earlier by Alnobani are given here. A view of the present time is given. As a consequence of the presence of time state, the verses are arranged in couples and every verse including in which we live is a live verse in the same context of human life. This paper interferes with and changes the procedures and philosophy of mathematics itself. Space, mass and time are parts of one whole which is called simply time. The aim of this paper is to make the knowledge of its subject public, so other researchers can contribute to it. The concept of a gate between verses is investigated.

Mathematical Debates as an Integral Part of the Learning Process

In this report, we want to touch upon two aspects of teaching mathematics in middle and high school. The first of them is the eternal question of how to teach, to motivate students and make them involved in the educational process, particularly in mathematics, where the most important factor is the natural gifts. The second aspect concerns the question which became very urgent in the modern world： what, in fact, we want to teach the students in a world over-saturated with information of any kind. As a result of the information blowup, two aspects emerge. On the one hand, straight passing over the skills and knowledge to the students becomes irrelevant today （just like a teacher or lecturer, merely speaking to an audience, who is not that relevant for young people, accustomed from childhood to perceive information through dynamic color visuals）. On the other hand, there is a change in emphasis in the objective function of the educational process from gaining knowledge to acquisition of skills of working with information, consideration and estimation, and choosing of the optimal strategy of a number of possibilities. This trend can be seen in the selection of problems in the international examination PISA （Program for international Student Assessment）, in the new curriculum in mathematics and in the selection of problems in the matriculation exams. These considerations （along with others） make teachers took for rtew forms of teaming, more appropriate to the demands of modernity. In this report we suggest the idea of using a mathematical competition called ＂Mathematical debate＂ （mathematical fight） as an integral part of the educational process at different levels of learning mathematics, as an appropriate tool.

Application of Game Theory in Social Science

Game theory is a tool for making decision for all scientists which it can predict the future. So many times, not only in professional life but in private life game theory can help people to make best decision. What make this article different with other game theory article is that it has written for arts science which they are not so much fluent in maths. The object of this article is to demonstrate the possibilities of game theory as an instrument for study of social science. The approach used to describe elementary games theoretic models as an integral part of social science with a collection of example to understand subject better. This paper addresses to theoreticians and practitioners of social science not particularly versed in game theory, rather than to those who are fluent in its mathematical language and intricacies.

Research on the integration of the mathematical culture into the mathematical teaching in universities

In the university education, the mathematical teaching is an important and indispensable part. And now the integration of the mathematical culture in the university teaching is the effective method to improve the timeliness of the teaching and the enthusiasm of the students, and it also can effectively alleviate the problem of the disconnection in the university mathematical teaching, with the successful implementation of the transition. The university mathematics has very high demands in the teaching contents, the teaching ideas and the teaching methods, so the reasonable integration of the mathematical culture into the university mathematics is very important. The mathematical culture in the teaching of college mathematics is discussed and analyzed in this paper.

Radiobiological effect of abdominal X-ray hypo-fraction irradiation on Wistar rats liver

Objective: The aim of our study was to investigate the impact of abdominal hypo-fraction irradiation on liver damage in rats so as to provide a reference for its clinical application. Methods: A total of 100 Wistar rats were equally randomized to five groups as control, 4 Gy, 6 Gy, 8 Gy and 12 Gy group, and the corresponding fractionated doses were offered. Liver functions were examined at the 2nd, 4th, 6th, 8th and 10th week after irradiation. Morphological changes were observed by HE staining. Expressions of Bcl-2 and Bax were examined by immunohistochemical technique. Results: In all irradiation groups, hepatocellular swell, degeneration, necrosis and even hepatic fibrosis could be seen. The differences of the liver coefficient, Glutamyl pyruvic transaminase (GPT), Glutamyl oxaloacetic transaminase (GOT) were significant among the groups and different time points (F = 11.833-781.972, F = 20.857-264.692, P < 0.001). Expressions of Bcl-2 and Bax were significantly different between each group (F = 211.607, 116.577; P < 0. 001), and between each time point (F = 54.083, 68.749; P < 0. 001). Conclusion: Compare with conventional fraction, abdominal hypo-fraction irradiation may cause radiation damage to rat liver, being dose-and-time dependent. Up-regulation of activating apoptosis protein Bax and down-regulation of inhibiting apoptosis protein Bcl-2 may involve in the process.

百年集论使人犯极荒唐常识错误:0-10^(10)=0——再论形如{1,2,3,…,n,…}一般都有末项

-1+0+0+…=-1凸显无穷级数w必比w+a少一个项。顺藤摸瓜得:无穷多双项组成的{(2n-1,2n)}与{1,{(2n,2n+1)}}不是同一数列;医学不知血有血型就会医死人,数学不知集有奇、偶型之分就会…;变集每增(减)一元都比变化前多(少)了一个元,故无穷集U增元变为U+V=K中的V有多少个元,K就比U多多少个元;有无穷大正整数n=1+1+1+…的项比Q={1,2,…,n,…}的项还要多而>Q的一切n;各级数w都有末项;w发散≠w没有所有项的和;对无穷对象同样有:本身-本身=0;无限循环小数并非有理数。

The Anthroposophy of Professor Radojcic

In this paper, we present life and scientific work of Dr. Milog Radojcic （1903-1975）, the professor of the University of Belgrade and corresponding member of the Serbian Academy of Science and Arts. In the background of all of Radojcic＇s scientific works were the doctrine of anthroposophy and geometry as its essential part. It led him to, at the time, most contemporary problems in mathematics and mathematical physics. His interest in Medieval art reveals a personality capable to unify by itself artistic and scientific worldview. His published works were digitized in 2008 at the Mathematical Institute of the Serbian Academy of Sciences and Arts and exhibited as a part of the virtual library of the National Center for Digitization. Some of his papers, both published and unpublished ones, are extremly actual and their republishing could be very important not only for scientific but also for general public as well

The Value Relevance of Foreign Currency Translation Adjustments （FCTAs） in the Italian Stock Exchange

The main aim of this paper is to test whether the foreign currency translation adjustments （FCTAs）, the largest components of other comprehensive income （OCI） for most firms, are incrementally value-relevant for investors with respect to the net income （NI）. Previous archival research on the value relevance of FCTAs has documented a weak or non-existent link between FCTAs and firm valuation （Pinto, 2005）. The hypothesized reasons could reside in the econometric method employed, in the use of as-if numbers, and in the missing consideration of the differential effect that exchange rate changes have on firms of varying levels of capital intensiveness. This study adds to the existing literature by empirically testing the value relevance of as-reported FCTAs numbers in the earnings and book value model the Ohlson-like interacted model through panel data techniques. The main finding of this study is that as-reported FCTAs are significantly and incrementally value-relevant, when their parameter estimates are allowed to vary in the cross-section.

Different manual manipulations and electrical parameters exert different therapeutic effects of acupuncture

Acupuncture is an important component part of Traditional Chinese Medicine(TCM). The therapeutic effects may be influenced by a variety of factors.Stimulation quantity is one of the factors for achieving good therapeutic effects in acupuncture practice. With the development of science and technology, besides the influence of manual manipulations, the parameters adopted for electroacupuncture have become the benchmark of stimulation quantity. This study, by referring to the related literatures, is designed to explore the influence of manual manipulations and electrical parameters on therapeutic effects of acupuncture. The results from the present study show that different manualmanipulations and electrical parameters may exert different therapeutic effects of acupuncture, which are closely related to the characteristics of diseases.Different manual manipulations and electrical parameters should be adopted according to syndrome differentiation of TCM. This is very important in acupuncture treatment.

Large-eddy simulation for the aero-vibro-acoustic analysis:plate-cavity system excited by turbulent channel flow

The large-eddy simulation(LES)with the dynamic Smagorinsky model is used to predict the interior sound of an idealized vehicle cabin under the excitation of the wall pressures from turbulent channel flows.In comparison with direct numerical simulation(DNS),the LES results overpredict the sound pressure level(SPL)at low frequencies and underpredict the SPL at high frequencies.The incorrect predictions result from the incorrect prediction of LES on surface pressures,where the LES over-estimates the wavenumber and frequencies spectra of surface pressures at small wavenumbers and frequencies and under-estimates the spectra at large wavenumbers and frequencies.However,the LES results are close to the filtered-DNS results,implying that the unresolved scales are also important to surface pressures and interior sound.The Euler-Bernoulli beam under the excitation of exterior pressures,which serves as a simple model for aero-vibro-acoustics in the case of hydrodynamical fast,is used to explain the observed predictions and show that the Corcos model cannot represent the variation of turbulence pressure spectra at wavenumbers and frequencies.Therefore,the new requirement for the LES method,when applied to fluid-structural-acoustic interaction problems at high Reynolds numbers,is the correct prediction of wavenumber and frequency spectra of turbulence wall pressure.