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It is shown that the optical branch departs from a critical point with vanishing group velocity and is decreasing for increasing the norm of the wave vector.
"While sovereign debt is decreasing for all countries (even Greece) with inflation at 2%, once we dial inflation down to 1% and assume a mild tapering-induced rise in interest rate of 1.50 percentage points over two years, debt becomes unsustainable for most of the peripheral sovereigns," said Fathom's Danny Gabay.
(a) is decreasing for.
Thus is decreasing for.
So, is decreasing for with upper bound.
which implies that is decreasing for.
Noting that g(x) is decreasing for.
(A(1,y)) is decreasing for (ygeq2).
Since is decreasing for we have.
So, is decreasing for odd whereas is increasing for even.
(i) (A(1,y)) is decreasing for (ygeq2).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com