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The contrasting fortunes of the different parties in Westminster under first past the post are made clear by looking at the number of votes won for each winning candidate.
And at a guaranteed €250,000 (or more than $300,000) for each winning ticket, there may be a doubly lucky family waiting to collect.
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Air and travel expenses for two members from each winning team are included.
end{aligned} For each (win Y), let (x_{w}= 0).
For each (win E) let D w) be as in the proof of Theorem 3.12.
We have: (a) For each (w^{0}in A) and for each (win A), the sequence ((w^{m}=T^{[m]}(w^{0}):min {0}cupmathbb{N})) is left and right (mathcal{P}_{{1};{1}} -convergent to w, and thus statement (A) holds.
By the condition (iv), for each (win Y), there exists (x_{w}in X) such that operatorname {Max}xibigl(F_{4}(x_{w},w bigr) leq operatorname {Max}bigcup _{yin Y} operatorname {Min}bigcup_{xin X} xibigl(F_{4} x,y bigr).
Assume the following condition holds: (iv) for each (win Y), there exists (x_{w}in X) such that operatorname {Max}F_{4}(x_{w},w) leq operatorname {Max}bigcup _{yin Y} operatorname {Min}bigcup_{xin X} F_{4} x,y).
For each (win Y), there exists (x_{w}in X) such that operatorname {Max}G(x_{w},w) leq operatorname {Max}bigcup_{yin Y} operatorname {Min}bigcup_{xin X} G x,y).
for each (win Y), there exists (x_{w}in X) such that operatorname {Max}F_{4}(x_{w},w) leq operatorname {Max}bigcup _{yin Y} operatorname {Min}bigcup_{xin X} F_{4} x,y).
(ii) (y rightarrow F x,y)) is naturally (R_ -quasiconcave on Y foR_ -quasiconcaveand (xrightarron G(x,Y)) is naturally (R_)-quasiconvex on X for each (yin Y). (iii) For each (win Y), there exints (X_{w}in X) such thandoperatorname {Maxrightarrow) leq operatorname {Max}biG xp_{yin Y} operatorname {Min}bigcup_{xin X} G(x,y).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com