A conclusion can be reached that the inner product equation of spatial autocorrelation based on Moran’s index is effective. The models extend the function of spatial analysis, and help to understand the boundary values of Moran’s index.
Interaction potential energy between ion and solvent molecular dipole moments in solvation shell around ion was derived on basis of the application of the solution of linear SEI-PB (Solvation Effects-Incorporated Poisson-Boltzmann) equation. Based on application of the solution of linear SEI-PB equati...
The proof of the theorem is based on coding (by group polynomials) functions that imitate the behaviour of conjunctions. Unfortunately, the lengths of such n-ary conjunction-like group polynomials are not bounded by any polynomial in n and, therefore, they cannot be used to show NP-completeness...
Finding the New Equation Given Two Points on the Original Line & Dilation Scale Factor Step 1:Find the equation of the line with the two given points {eq}(x_1.,y_1) {/eq} and {eq}(x_2 , y_2) {/eq}. a) Find the slope of the line (m). The...
Here we give detailed proof in the case n \ge 3, 2< p < 1+4/(n-2) that clarifies some missing points in the proofs for the particular case n=3, p < 1+4/n studied in [7]. The approach in [7] is based on the construction of analytic function \begin{aligned} K(z)= \...
We consider unicast equation-based rate control, where, at some points in time, a sender adjusts its rate to f(p,r), where p is an on-line estimate of the loss-event rate observed by this source, r of the average round-trip time, and f is a TCP throughput formula. Conventional wi...
A compact form of the general solution based on a Green’s function is y(x)=∫ax[y(a)δ(t−a)+g(t)]e−∫txf(u)dudt, where δ(x) is the generalized Dirac delta function. 2.5.5 Systems of linear differential equations An arbitrary linear ordinary differential equation or even a...
The only problem i am having is to find slope(from slope i meant if every step is assumed as points ,this will help me to shift l and r) and slope can be find by use of its previous neighbour points to find neighbour of y=f(x),we need to find length of y so for given y=[...
This is an empirical equation which was developed in the 1960s byWischmeier and Smith (1965)to predict long-term interrill andrillerosion ratesbased on analysis of data of a large number of experimental plots in the United States. This equation has, however, been used world wide in varyin...
In this approach, the singular points of the corresponding differential equations play a central role. In contrast with the approach based on the rational extension of Bochner type differential equations, here, the solutions are not polynomials in general; rather, they are expanded in terms of ...