论文标题
2阈值功能数量的渐近学
Asymptotics of the number of 2-threshold functions
论文作者
论文摘要
在尺寸$ M \ times n $的矩形网格上的$ k $阈值功能是同一域上$ k $阈值函数的连接。在本文中，我们专注于$ k = 2 $的情况，并证明二维2阈值功能的数量为〜$ \ dfrac {25} {12π^4} m^4 n^4 + o（m^4n^4）$。
A $k$-threshold function on a rectangular grid of size $m \times n$ is the conjunction of $k$ threshold functions on the same domain. In this paper, we focus on the case $k=2$ and show that the number of two-dimensional 2-threshold functions is~$\dfrac{25}{12π^4} m^4 n^4 + o(m^4n^4)$.
