Sentence examples for gamma cap from inspiring English sources
Hence (Gamma cap G_k = Gamma _k).
Then (i) ((mathcal{F}(Gamma )), (succcurlyeq ^{P})) is a nonempty inductive poset; (ii) ((mathcal{F}(Gamma )cap [y _)), (succcurlyeq^{P})) is a nonempty inductive poset; and Γ has an (succcurlyeq ^{P} -maximal fixed point (x^{P} -maximalcccurlyeq ^{P} y _). .
If (alpha,beta,gamma in X,) define ([alpha,gamma,beta ]_mathfrak{B }) to hold just in case (alpha cap gamma supseteq alpha cap beta ) (equivalently, just in case (gamma cap beta supseteq alpha cap beta )).
end{aligned} (10)We claim that begin{aligned} Vert Q_y u,r Vert _{L^2 partial B_1)} le C_0, end{aligned}for (rle r_0) and (y in B_{1/2} cap Gamma cap {|nabla u y)| <theta r}).
end{aligned}Then by the sub-mean value property for subharmonic functions, begin{aligned} log |T|^2 le lambda, quad text {i.e.}, quad |T|^2 e^{-lambda } le 1, end{aligned}and by the Poincaré Lelong Formula, begin{aligned} Delta lambda = frac{#(Gamma cap D_r z))}{pi r^2} end{aligned}Therefore by Theorem 5.14, we have the following result.
((mathcal{F}(Gamma )), (succcurlyeq ^{P})) is a nonempty inductive poset; ((mathcal{F}(Gamma )cap [y _)), (succcurlyeq^{P})) is a nonempty inductive poset; and Γ has an (succcurlyeq ^{P} -maximal fixed point (x^{P} -maximalcccurlyeq ^{P} y _). We need the fixedwing concepointrder-positive, for mappings from posets to posets.
begin{aligned} S i,j) =frac{| Gamma (i) cap Gamma (j) | }{| Gamma (i) cup Gamma (j)|} end{aligned} (5).
begin{aligned} S i,j) =| Gamma (i) cap Gamma (j) | end{aligned} (3)where (mathrm {Gamma }) represents the neighbors set for nodes (i, j in V).
begin{aligned} S i,j) =frac{| Gamma (i) cap Gamma (j) | }{text {Deg}(i .text {Deg}(j)} end{aligned}, (4 where Deg represents the degree of the node.
Let (S Kto X^) be a γ-inverse strongly monotone mapping with constant (gammain 0,1)), let (G Ktimes Kto mathbf{R}) be a nonlinear mapping satisfying Assumption 2.1(i - iv), and let (T:Kto K) be a relati - ivnonexpandive mapping such that (Gamma:=textit{SoletT Ktot{EP}(text{1.2}))captextit{Sol}(textit{VIP}(text{1.3}))cap operatorname{Fix}(T) neqemptyset).
Table 2 outlines the AAFs for men and women in the EU for 2005 by disease category with the alcohol consumption gamma distribution capped and uncapped, while keeping the RR functions capped.
