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and we easily derive the asserted inequality.
Finally, combining (3.3) with (3.4) leads to the asserted inequality (3.2).
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This despite David Cameron, the British prime minister, asserting that inequality is at its lowest since 1986.
Capitalist societies assert that inequality is the force driving self-betterment, an argument I'm sure Milton Friedman would get behind.
Eventually, will a Pope asserting that "inequality is the root of all social evil" and the reality of one percent grabbing 90percentt of all income gains - and one party urging yet more tax cuts for the rich even as inequality worsens -- motivate average voters to be driven more by facts than phrases?
The Taylor's approximation prompts to consider another method for proving the inequality asserted in Theorem 3.1, that is, we may add more terms to the Taylor polynomial (3.2) in order to prove the inequality (3.1).
Setting (mathtt{k}=1) in Theorem 2, we get a little simpler inequalities asserted by the following corollary.
21 Although one commentator has asserted that this health inequalities objective for the allocation of NHS resources, introduced in England in 1999, has had no effect, 22 to our knowledge, no empirical investigation supports that assertion.
The harmonic-arithmetic mean inequality asserts that ∇ φ < ∇ ψ.
A well-know matrix version of Kantorovich inequality asserts that (see[1 3]).
The Young inequality asserts that forall sinOmega,quad biglvert f(s bigrvert biglvert g(s bigrvert leqfrac{1}{p}biglvert f(s bigrvert ^{p}+ frac {1}{p^biglvert g(s bigrvert ^{p^.
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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