共查询到20条相似文献,搜索用时 62 毫秒
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复合函数这一概念,现行高中课本未直接定义.而复合函数的应用实例,在现行高中课本《代数》上册(以下简称课本)中大量出现.如 y=log0.5(4x-3)(课本P100);y=16-5x-x2(课本P108);y=Asin(ωx+φ)(课本P178);y=sin(arcsinx)(课本P300).在全国高考数学试题中,复合函数的应用问题成为命题热点.本文试对复合命题的性质作点介绍.设y=f(u),u=g(x),则y=f[g(x)]为复合函数.根据函数单调性的定义,容易得出下列结论.(1)若y=f(u… 相似文献
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Asiswel-knownwhenarealquadraticdiferentialsystem:x=-y+δx+lx2+mxy+ny2=P(x,y),y=x(1+ax+by)=Q(x,y)(1)hasfourfinitecriticalpoints... 相似文献
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确定一个二次曲线:Ax2+Bxy+Cy2+Dx+Ey+F=0一般需五个独立条件,因此,经过四点的二次曲线一般情况下有无数条,它们组成一个二次曲线系;本文以定理形式介绍一种新的二次曲线系,并举例说明其应用,并以此引伸出一种新的解题方法;1.定理的证明定理 若直线AB的方程为F1(x,y)=0;直线BC的方程为F2(x,y)=0;直线CD的方程为F3(x,y)=0;直线DA的方程为F4(x,y)=0;则方程F1(x,y)·F3(x,y)+λF2(x,y)·F4(x,y)=0表示过A、B、C、D四点的… 相似文献
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数与式1.若a≠0,则下列运算正确的是( ).(A)a4·a2=a8 (B)a2+a2=a4(C)(-3a4)2=9a6(D)(-a)4÷(-a)2=a22.下列各式中计算错误的是( ).(A)ab=acbc(c≠0)(B)a+bab=a2+aba2b(C)0.5a+b0.2a-0.3b=5a+10b2a-3b(D)x-yx+y=y-xy+x3.化简12-3的结果是( ). (A)-2+3 (B)-2-3(C)2+3(D)2-34.2x2·3x3等于( ).(A)6x5 (B)6x6 (C… 相似文献
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《Quaestiones Mathematicae》2013,36(4):347-370
Abstract In this note we obtain some extensions and an approximation of the Lyapunov convexity theorem by means of the bilinear integration of a set-valued function. The integration is performed successively with respect to a non-atomic, a direct sum and a Darboux vector measure. The necessary counterexamples are provided. 相似文献
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Tuomas E. Tahko 《Metaphysica》2011,12(2):151-164
The distinction between a priori and a posteriori knowledge has been the subject of an enormous amount of discussion, but the literature is biased against recognizing the intimate relationship between these forms of knowledge. For instance, it seems to be almost impossible to find a sample of pure a priori or a posteriori knowledge. In this paper, it will be suggested that distinguishing between a priori and a posteriori is more problematic than is often suggested, and that a priori and a posteriori resources are in fact used in parallel. We will define this relationship between a priori and a posteriori knowledge as the bootstrapping relationship. As we will see, this relationship gives us reasons to seek for an altogether novel definition of a priori and a posteriori knowledge. Specifically, we will have to analyse the relationship between a priori knowledge and a priori reasoning, and it will be suggested that the latter serves as a more promising starting point for the analysis of aprioricity. We will also analyse a number of examples from the natural sciences and consider the role of a priori reasoning in these examples. The focus of this paper is the analysis of the concepts of a priori and a posteriori knowledge rather than the epistemic domain of a posteriori and a priori justification. 相似文献
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向开南 《数学物理学报(B辑英文版)》2000,20(4)
Let M = (Mt,Ft) be a uniformly integrable continuous martingale with MO = 0. For1 5 p < cot we setIIMllBMO. = '3p II[E[IMoo ~ MTIplFT]]'/Pll.,where the supremum is taken over all stopping times T.Set BMO. = {M: IIMllBMO. < co}. It is well known that BMO. = BMO, (VI S p 5 q).F'urthermore, all 11.llBMO. norms are equivalent andIIi ~~if;llMllBMO. = SUP T P(T < co)i'where the supremum is taken over all stopping times T satisfying P(T < co) > 0. In the laterwe shall simply … 相似文献
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Kirsty Wilson 《Research in Mathematics Education》2013,15(1):117-132
Spreadsheets use a meaningful algebra-like notation which, research suggests, can support pupils in developing an understanding of variables. This paper discusses the activity of Year 8 pupils who were taught to name a column on a spreadsheet, and who were asked to reflect upon their activity in a stimulated recall interview. More specifically, it considers the pupils' understanding of notation, such as 'A2' and 'm', which they used when constructing spreadsheet formulae. It is suggested that experience of naming columns may help pupils to develop a clearer sense of the notation as a variable, and to make links between their spreadsheet activity and use of standard algebraic notation [1]. 相似文献
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Rulin Shen Changguo Shao Qinhui Jiang Wujie Shi Victor Mazurov 《Monatshefte für Mathematik》2010,160(3):337-341
Let G be a group and τ e (G) the set of numbers of elements of G of the same order. In this paper, by τ e (G), we give a new characterization of A 5, where A 5 is the alternating group of degree 5. We get the theorem following: Theorem. Let G be a group, ${G\cong A_5}$ if and only if τ e (G) = τ e (A 5) = {1, 15, 20, 24}. 相似文献
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