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研究了一类Chebyshev多项式Tn(x)及Un(x)组成的特殊行列式Qn(m,k)、Cn(m,k)的计算问题,得到了两个有趣的恒等式及一个推论. 相似文献
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一类Chebyshev行列式的计算 总被引：3，自引：1，他引：3
王念良 《商洛师范专科学校学报》2001,15(3):70-72
研究了一类Chebyshev多项式Tn(x)及Un(x)组成的特殊行列式Qn(m,k）、Cn(m,k)的计算问题，得到了两个有趣的恒等式及一个推论。 相似文献
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设Q_n(f,x)是以第二类Chebyshev多项式的零点为基点的第二类拟Hermite-Fejer插值,本文研究的极值。 相似文献
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本文引入基于第二类Chebyshev正交多项式U_n(x)的零点{X_k~(n)}_(k=1)~n的一个算子H_(n-1)(f,x),研究了H_(n-1)(f,x),在L_2[-1,1]空间中逼近f(x)的收敛阶。 相似文献
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冯录祥 《重庆第二师范学院学报》1996,(1)
对多项式 f(x),g(x),把用辗转除法求出的使u(x)f(x) υ(x)g(x)=f(x),g(x))(※)成立的多项式 u(x),υ(x)称为基元多项式。指出基元多项式是使(※)式成立的唯一的次数最低的一对多项式;用基元多项式给出了所有使(※)成立的多项式 u(x),υ(x)的表达式。 相似文献
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本文讨论了Chebyshev 多项式的一些性质,给出一系列包含第二类高阶Chebyshev 多项式的恒等式. 相似文献
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王念良 《西安文理学院学报》2006,9(1):52-55
研究了由第一类Chebyshev多项式Tn(x)组成的特殊行列式Tqn(m,k,l)的计算问题,先前研究(参考文献[2]和[5])证明了当mn-1时计算Tqn(m,k,l)值的公式,其中q,n,m,k,l是任意的自然数. 相似文献
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顾央青 《宁波职业技术学院学报》2005,9(5):66-68
讨论了以第二类Chebyshev多项式的零点为插值结点组的f(x)的Hermite-Fejér插值算子的加权Lp下的收敛性,权函数为(1-×2)α(α≥-12).当α≥-12,0＜p＜2 α+2时,给出了收敛速度的一个精确估计;当α≥-12,0＜p＜2α+2时,说明了其Lp下不是收敛算子列. 相似文献
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文章论证了Chebyshev多项式对零的偏差最小,并利用这一特性构造高精度Chebyshev插值多项式,提高了插值运算精度. 相似文献
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由n次多项式f(x)的全部根α1,α2…,αn ,构造一个关于根的对称多项式S(f)=n∑i=1(αi-1/αi) ,如果多项式f(x)在(◎)[x]可以分解为多项式g(x)h(x) ,利用恒等式S(f)=S(g)+S(h) ,得出多项式g(x)的可能形式,并利用上述方法给出Selmer多项式不可约性的一个统一证明. 相似文献
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邱崇丙 《唐山师范学院学报》2014,(1):21-23
汉字的六书,《说文》对“转注”一类,语焉不详。后世学者提及转注,也仅限于许慎所举出的例字。《汉字例说》一文,作者从转注的角度综合考虑,对部分现代常用字作了分析,跟传统的解释有所不同。希望能抛砖引玉,互相切磋,以推进学术研究。 相似文献
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《海外英语》2007,(5):10-11
Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help? 相似文献
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Rachel Zupek 《海外英语》2007,(11):40-41
我们绝大部分人都同意一件事情——我们喜欢金钱。但是你对金钱的喜欢之情足够到让你创立一份事业么?.财富通常被人忽视,主要在于人们不能真正了 相似文献
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《海外英语》2007,(4):36
There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love. 相似文献
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YANGShiguo 《重庆大学学报(英文版)》2004,3(1):86-88
The problem on the geometrc inequalities involving an n-dimensional simplex and its inscribed simplex is studied. Aninequality is established, which reveals that the difference between the squared circumradius of the n-dimensional simplex andthe squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not lessthan the 2(n-1)th power of n times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is atangent point one. Deduction from this inequality reaches a generalization of n-dimensional Euler inequality indicating that thecircumradius of the simplex is not less than the n-fold inradius. Another inequality is derived to present the relationship betweenthe circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex. 相似文献
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Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject. 相似文献
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GUO Bao-feng Xiao Da-wei 《重庆大学学报(英文版)》2005,4(3):129-133
Using virtual reality for interactive design gives a designer an intuitive vision of a design and allows the designer to achieve a viable, optimal solution in a timely manner. The article discusses the process of making the Virtual Reality System of the Humble Administrator＇s Garden. Translating building data to the Virtual Reality Modeling Language （VRML） is by far unsatisfactory. This creates a challenge for computer designers to do optimization to meet requirements. Five different approaches to optimize models have been presented in this paper. The other methods are to optimize VRML and to reduce the file size. This is done by keeping polygon counts to a minimum and by applying such techniques as object culling and level-ofdetail switching. 相似文献