1) multiplicative function
积性函数
1.
We proved that: Let T be a R-space, and f be a multiplicative function, fT, if f(n+B)-cf(n)∈T holds for a suitable positive integer B and a complex constant c, then c=±1, for every prime p there exists a suitable nonnegative integer α p such that f(p α p+r )(f(p α p )) r-1 =(f(p α p+1 )) r,r=2,3,….
本文证明了如果T是一个R-空间,f是一个积性函数,fT,f(n+B)-cf(n)∈T[n],其中B为正整数,c为复常数,那么必有c=±1,而且对于任何素数p皆有非负整数αp使f(pαp+r)(f(pαp))r-1=(f(pαp+1))r,r=2,3,…。
2.
Let F denote any field, Mn(x) denote n × n matrix semigroup over F [x] the polynomial ring, we call φ is a multiplicative function from Mn(x) to F [x], if φ (A(x)B(x)) = φ(A(x))<p(B(x)) for any A(x) and B(x) in Mn(x).
本文决定了全部从M_n(x)到F〔x〕的半群乘法同态,亦即M_n(x)的全部积性函数。
2) multiplicative convex function
积性凸函数
1.
A sufficient and necessary condition for a multiplicative convex function to be a multiplicative concave function;
积性凸函数且是积性凹函数的充分必要条件
2.
Sufficient and necessary conditions of multiplicative convex functions;
积性凸函数的充分必要条件
3) multiplicative concave function
积性凹函数
1.
A sufficient and necessary condition for a multiplicative convex function to be a multiplicative concave function;
积性凸函数且是积性凹函数的充分必要条件
5) product ambiguity function
乘积性模糊函数
1.
Its kernel is constructed based on the product ambiguity function(PAF),which efficiently suppresses the cross terms and noise in the ambiguity domain.
在核函数设计中,提出了两种基于乘积性模糊函数的方法。
6) completely multiplicative function
完全积性函数
1.
Let a(n) denotes the product of the base 10 digits of n∈N,f(n) be a completely multiplicative function.
令a(n)表示正整数n的十进制表示中的各位数字之积,f(n)为任意完全积性函数。
补充资料:先天性交通性鞘膜积液
先天性交通性鞘膜积液
congenital communication hydrocele
睾丸下降到阴囊后,腹膜鞘突在出生后仍未闭合,腹腔内液体与鞘膜囊内液体交通。主要症状是婴儿阴囊肿大,鞘膜囊透光试验阳性。生后6个月内尚不闭合消失,则应手术治疗。作鞘膜突近端高位结扎术、远端鞘突开窗术,效果满意。睾丸肿瘤有时误诊为鞘膜积液,但肿瘤透光试验阴性、触诊为非囊性而有沉重实质感。血清内HCG、AFP值升高有助诊断。
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