We study integral points on the quadratic twists $\mathcal{E}_D:y^2=x^3-D^2x$ of congruent number curve. give upper bounds in each coset $2\mathcal{E}_D(\mathbb{Q})$ $\mathcal{E}_D(\mathbb{Q})$ and show that their total is $\ll (3.8)^{\mathrm{rank} \mathcal{E}_D(\mathbb{Q})}$. further average non-torsion this family bounded above by $2$. As an application we also deduce from our system simultan...

This study presents a revised and calibrated Soil Conservation Service (SCS) curve number (CN) rainfall runoff model for predicting in Malaysia using new power correlation Ia = SL, where L represents the initial abstraction coefficient ratio. The traditional SCS-CN with proposed relation 0.2S is found to be unreliable, exhibits improved accuracy. emphasizes need design flood control infrastruct...

we define minimal cn-dominating graph $mathbf {mcn}(g)$, commonality minimal cn-dominating graph $mathbf {cmcn}(g)$ and vertex minimal cn-dominating graph $mathbf {m_{v}cn}(g)$, characterizations are given for graph $g$ for which the newly defined graphs are connected. further serval new results are developed relating to these graphs.

The physically-based flood frequency models use readily available rainfall data and catchment characteristics to derive the flood frequency distribution. In the present study, a new physically-based flood frequency distribution has been developed. This model uses bivariate exponential distribution for rainfall intensity and duration, and the Soil Conservation Service-Curve Number (SCS-CN) metho...

The Soil Conservation Service Curve Number Model is a conceptual model intended for estimating effective rainfall (ER). This grounded in parameter – referred to as (CN), which determined from information on the characteristics of watershed. Standard Method (M1) determining CN based soil and land-use tables; however, some authors have proposed alternative methodologies defining value monitored r...

Abstract Let $E$ be an elliptic curve defined over a number field $K$, let $\alpha \in E(K)$ point of infinite order, and $N^{-1}\alpha $ the set $N$-division points in $E(\overline {K})$. We prove strong effective uniform results for degrees Kummer extensions $[K(E[N],N^{-1}\alpha ): K(E[N])]$. When $K=\mathbb Q$, under minimal (necessary) assumption on $, we show that inequality $[\mathbb Q(E...

Abstract The Soil Conservation Service Curve Number (SCS-CN) method was applied to calculate the runoff in Khur khur watershed (KHW) based on (GIS and RS) techniques. is located southeast of Iraqi Kurdistan region northeast Iraq foothill zone. total area (106.84) km 2 , fifth order, it meets Sirwan river. study aim speculate annual volume select dam site order harvest water from (KHW). research...