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"But, because the causes are less easy to define for an island or indeed a coastal community, and because in general terms we get bracketed with the prosperous south-east of England, the Isle of Wight always seems to get overlooked for the help and assistance it deserves".
Using again the positivity of the terms, we get (1.6).
end{aligned} (11) Putting (11) in (10) and executing Fubini's theorem in the obtained terms, we get (9).
Substituting the above inequality into the right-hand side of (30) and arranging terms, we get the assertion (28) immediately.
Substituting the perturbation series expansions in (2.15) and then equating the constant terms and and terms, we get (2.21).
Expanding T 4 in a Taylor series about T ∞ and neglecting higher order terms, we get T 4 ≅ 4 T ∞ T − 3 T ∞ 4. (9).
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end{aligned} (12) Employing (12) in (10) and utilizing Fubini's theorem in the obtained term, we get (9).
Suppose the dependent variable of the enterprise's competitive advantage (CA) is a linear function of multiple independent variables of X1, X2, ……Xn and the error term, we get the multiple linear regression model as follows: mathrm{CA}=upbeta 0+upbeta 1 mathrm{X}1+upbeta 2 mathrm{X}2+upbeta 3 mathrm{X}3+upbeta 4 mathrm{X}4+varepsilon.
After reducing the first term, we get that λ ( n + 1 ) λ ( n ) + Δ λ ( n ) + ∑ i = 1 m P i ( n ) ∏ j = n − k i ( n ) n − 1 1 λ ( j ) + 1 = 0, and we conclude that the sequence { λ ( n ) } satisfies the Riccati-type equation (4), and the first part of the proof is complete.
By computing the right-hand term, we get begin{aligned} int_{Omega}frac{vert x-x_{0}vert ^{2}}{8lambda}biglvert f(x bigrvert ^{2}e^{-frac{vert x-x _{0}vert ^{2}}{4lambda}},dx leq&2lambda int_{Omega}biglvert nabla f(x bigrvert ^{2}e ^{-frac{vert x-x_{0}vert ^{2}}{4lambda}},dx &+frac{d}{2} int_{Omega}biglvert f(x bigrvert ^{2}e^{-frac {vert x-x_{0}vert ^{2}}{4 lambda}},dx.
Short term, we got it covered pretty much: gotta take out the recycling, check Techmeme, oh look, Mubarek quit after all, answer email, rinse, repeat.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com