《Pedoe不等式的再推广》的一个注记

将《Pedoe不等式的再推广》一文中的结论推广到p∈[0,2]的情形,并相应给出有关不等式中等号成立的充要条件．     

关于拟抛物算子的一个注记

运用连续半群方法说明了拟抛物方程不存在正则化效应,此结果揭示了拟抛物方程与抛物型方程的一个本质性差别．     

A NOTE ON "ACCURACY" AND "PRECISION"

The terms accuracy and precision are consistently differentiated in the literature of engineering and the "hard" sciences. Precision shares a common core of meaning with reliability as used by behavioral scientists. Accuracy and validity have a similar semantic overlap. A review of the literature in educational and psychological measurement reveals an interchangeable usage of accuracy and precision in defining reliability, To help beginning students distinguish between validity and reliability, this paper advocates the use of precision, rather than accuracy, in describing reliability.     

A NOTE ON THE UNIQUENESSTHEOREM FOR STEADY-STATESEMICONDUCTOR EQUATIONS

ＡＮＯＴＥＯＮＴＨＥＵＮＩＱＵＥＮＥＳＳＴＨＥＯＲＥＭＦＯＲＳＴＥＡＤＹ－ＳＴＡＴＥＳＥＭＩＣＯＮＤＵＣＴＯＲＥＱＵＡＴＩＯＮＳＧｕａｎＰｉｎｇ（管平）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓａｎｄＭｅｃｈａｎｉｃｓ）ＡＮＯＴＥＯＮＴＨＥＵＮ...     

球面上Cesaro平均收敛性的注记

研究了球面函数的Fourier—Laplace级数的临界阶Cesaro平均的点态收敛问题,给出了临界阶Cesaro平均收敛的Gergen型判别法。     

非扩张映象族的公共不动点定理

本文讨论非扩张映象族公共不动点的存在性与唯一性,推广了文①—⑤中的一些结果。     

关于无理数的丢番图逼近的一个注记

得到关于无理数的丢番图逼近的一个定理和一系列重要推论，指出并订正了文章“Ｄｉｏｎｈａｎｔｉｎｅ Ａｐｐｒｏｘｉｍａｔｉｏｎ ｏｆ ａ Ｓｉｎｇｌｅ Ｉｒｒａｔｉｏｎａｌ Ｎｕｍｂｅｒ”（Ｊ· ＮｕｍｂｅｒＴｈｅｏｒｙ，３５（１９９０），５５～５７）中的一个错误．     

A NOTE ON THE STABILITY OF THE IOWA TESTS OF BASIC SKILLS1

The seventh-grade standard deviations on the Iowa Tests of Basic Skills (ITBS) and the intercorrelations among the tests reported by Merenda and Jackson (Journal of Educational Measurement, 1968, 5, 163–165) seemed unusual enough for their accuracy to be questioned. Corresponding statistics possessing markedly different values are presented for another sample. Contrary to the findings of Merenda and Jackson, the present data indicate a high degree of stability for the ITBS for a 3-year interval.     

一个几何不等式的注记

设A是n维欧氏空间E~n中的一个非退化单形,它的切点单形为B,又以A的顶点和它的内切球心的连线与A的n+1个侧面的交点为顶点的单形设为D。若单形A,B,D的体积分别记为V(A),V(B),V(D),本文证明了V(B)≤V(D)≤(1/n~n)V(A)。     

Graham猜测的一点注记

Graham曾猜测：有无穷多个正整数n适合同余式2n＝k（modn）其中k≠1为任意给定的整数，本文证明了当k＝±2m，k≠1，m为正整数时Graham猜测成立，同时我们得到了同余式a(kn-b)≡－C(kn-b)（modn）的一些结果，并提出如下猜想：对任意给定的正整数a，c，（a，c）＝1均存在无穷多个正整数n适合同余式．an-2≡-cn-（modn）