By setting b=1 and λ=0, the KwTP reduces to the exponentiated Pareto distribution, defined by Nadarajah (2005), with PDF begin{array}{*{20}l} f(x;alpha, theta, a) = frac{aalpha theta^{alpha}}{x^{alpha+1}} times Bigg{bigg[1-left(frac{theta}{x}right)^{alpha}bigg] Bigg}^{a-1}.
When λ=0, KwTP reduces to KwP distribution by Bourguignon et al. (2013) with PDF begin{array}{*{20}l} f(x;alpha, theta, a, b)= frac{abalpha theta^{alpha}}{x^{alpha+1}} times Bigg{bigg[1-left(frac{theta}{x}right)^{alpha}bigg] Bigg}^{a-1} Bigg{1-bigg[1-left(frac{theta}{x}right)^{alpha}bigg]^{a}Bigg}^{b-1}.
end{array} By setting b=1 and λ=0, the KwTP reduces to the exponentiated Pareto distribution, defined by Nadarajah (2005), with PDF begin{array}{*{20}l} f(x;alpha, theta, a) = frac{aalpha theta^{alpha}}{x^{alpha+1}} times Bigg{bigg[1-left(frac{theta}{x}right)^{alpha}bigg] Bigg}^{a-1}.
Vbigg(Omega(a bigg)= text{max} bigg{ V^{U}bigg(Omega(a bigg), V^{I}bigg(Omega(a bigg), V^{F}bigg(Omega(a bigg) V^{P}bigg(Omega(a bigg) bigg} (12).
Consider Fredholm integral equations with logarithmic kernel: begin{aligned}&u(x -int _0^1ln |x -intlpha u(y) mathrm{{d}}y &quad = alpha Bigg (frac{x^{3}}{3}lnBigg (frac{1-x}{x}Bigg )-frac{1}{3}ln(1-x)+frac{x}{6}+frac{1}{9}Bigg )+Bigg (1+frac{alpha }{3}Bigg )x^{2},&quad text {exact solution}: u(x)=x^{2}.
The CAS wavelets matrix (varvec{Psi }_{hat{m},hat{m}}) is given as: begin{aligned} varvec{Psi }_{hat{m}times hat{m}}=bigg [varvec{Psi }bigg (frac{1}{2hat{m}}bigg ),varvec{Psi }bigg (frac{3}{2hat{m}}bigg ), ldots,varvec{Psi }bigg (frac{2hat{m}-1}{2hat{m}}bigg ). bigg ] end{aligned} (7).
& quadoplus 4odot fleft( a,frac{c+d}{2}right) oplus 4 odot fleft( frac{a+b}{2},cright) oplus 16odot fleft( frac{a+b}{2},frac{a+c}{2}right) & quad bigg.bigg.oplus 4odot fleft( frac{a+b}{2},dright) oplus 4odot fleft( b,frac{c+d}{2}right) oplus f(b,c oplus f(b,d bigg )bigg ) & quadle (b-a)(d-c omega _{[a,b]times [c,d-c omegaf,frac{(b-a)(d-c)}{36}right).
Indeed, some older studies noticed how, for example, the presence of ice nucleating particles also varied with the lunar cycle (Bigg 1963; Bigg and Miles 1964).
Then, the throughput is given by: begin{aligned} C Upsilon) &= E bigg{ sum_{i in Upsilon} B log_{2} (1+text{SINR}_{i}) bigg} &= B times E bigg{ sum_{i in Upsilon} log_{2} (1+text{SINR}_{i}) bigg} end{aligned} (8).
1. Jain Index (JI), given as mathrm{Jain: Index} =bigg(sum_{j=1}^{K} x_{j}bigg)^{2} / bigg(Ksum_{j=1}^{K} x_{j}^{2}bigg) (15) where x j is the average number of radio resource units, i.e., slots, allocated to user j within an interval of 1000 frames.
Then, the next node selected by the planner to add to (X) will be the non-seed node that maximizes begin{aligned} g v =sum _{{iin delta (v): delta _{hat{X}}(i >0}} Bigg (frac{1}{delta _{hat{X}}(i }Bigg ).
