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I'm partial, I confess, to a book with exclamation points in its title.
How could you not like a puzzle like this? Sure, there's the partial I LUV and the far-flung Ulan-UDE, but we have so much more in this 70-word grid, that I can live with them.
As a consequence, Rumpole's faith in the ability of the justice system to sort out responsibility for a crime committed on the premises is only partial: "I believed that Nurse Dotty was wholly innocent and would remain innocent even if proven guilty".
Since the effects of I and z are equal in magnitude but opposite in sign we can simplify Eq. (10) using {partiallangle x rangleover partial z } = -{partiallangle x rangleover partial I }, to get frac{dz}{dI} = { s{partiallangle x rangleover partial I} over { 1 + s{partiallangle x rangleover partial I} }} equiv A'(I).
where t m is the m th sample of the temporal duration of the partial i (whose length is l i, in samples).
It is easy to see that the function (numapsto I^{0} u; nu)) is sublinear, continuous and so is the support function of a nonempty, convex and (omega^ -compact set (partial I (u)subset X^) defined by partial I (u)=bigl{ u^in X^:bigllangle u^,nubigrrangle _{X}leq I^{0}(u; nu) mbomega^ -compactin Xbigr}.
Similar(53)
Especially, the Hyers-Ulam stability of (1) under partial (i -differentiability can be i -differentiability.2.
Now, we consider the partial (i -derivative of (wi -derivative)) with respect tofthe variable y.
That is to say, (widehat {u} x,y)) is a partial (i -differentiable soluti -differentiablel fuzzy differential equation (1).
Furthermore, if (widehat{u} x,y)) fulfills the condition (H1) with respect to the variable x, then (widehat{u} x,y)) is the unique partial (i -differentiable soluti -differentiableying the inequality (21).
Similar to Remark 2, by a tedious calculation, it can be verified that (widehat{u} x,y)) defined by (22) is a partial (i -differentiable soluti -differentiablel fuzzy differential equation (2).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com