The register function for binary trees is the minimal number of extra registers required to evaluate the tree. This concept is also known as Horton-Strahler numbers. We extend this definition to lattice paths, built from steps ±1, without positivity restriction. Exact expressions are derived for appropriate generating functions. A procedure is presented how to get asymptotics of all moments, in...

DAS Lesti, Kabupaten Malang mengalami alih fungsi lahan yang besar akibat pesatnya pembangunan di era modern ini sehingga mempengaruhi laju infiltrasi. Studi ditujukan guna mengetahui infiltrasi dengan Model Horton dan Philip, kemudian didapatkan model memiliki prediksi paling sesuai pengukuran lapangan. Pengambilan data berupa hubungan antara waktu besarnya penurunan air titik-titik menggunaka...

How could it be wrong to exploit – say, by paying sweatshop wages if the exploited party benefits? do something gratuitously bad like giving a wasteful charity that is better than permissibly doing nothing? Joe Horton argues these puzzles, known as Exploitation Problem and All or Nothing Problem, have no unified answer. I propose one pose challenge for Horton’s take on Problem.

This study analyzes the soil water infiltration characteristics under muddy irrigation and bio-organic fertilizer conditions in current context of rarely being used agricultural production combination with problems resource shortages low fertility arid semi-arid regions. An indoor one-dimensional column device was for studying effects four sediment concentration levels (ρ0: 0; ρ1: 4%; ρ2: 8%; ρ...

abstract infiltration is one of the most important phenomena which is affected by the soil physical and hydraulic characteristics. measurement of infiltration needs the high cost and is time consuming, therefore estimation of infiltration is necessary. also, due to variability of soil moisture, it is important to determine the appropriate model for the estimating the infiltration rate. the pres...