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Now it is a statement of inequality, of the misrepresentation of women, of sexual objectification.
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Note that similarly as in our previous section, Theorem 4.1 in particular means that inequalities (1.3) and (1.4) hold also if '>' in the statements of these inequalities are replaced by '≥'.
We set c l 0, j 0 = 4 K δ K ( l 0 − i ) − γ n, and observe from the statement of McDiarmid's inequalities that we need to evaluate ∑ j 0 = 1 n ∑ l 0 = 1 n c l 0, j 0 2 = 16 K 2 n − 2 γ + γ 2 n ≤ 32 n K 2 ≐ g d.
The statement of the classical Chebyshev inequality is the following (see [[14], pp.197-204]).
May has highlighted women's lower average earnings in her broader statements about tackling all forms of inequality, which she cited as a key factor behind June's vote in Britain for Brexit.
Moreover, the statements (1′) and (2′) are also equivalent if we change the sign of inequality in both statements (1′) and (2′).
So, a cursory examination of the table reveals that as (nuto1^) the inequality in the statement of the theorem becomes a weaker restriction, whereas as (nuto2^) the inequality approaches the 'initial monotonicity' condition (Delta f(a ge0), which was required in the original monotonicity theorem, namely Theorem 2.3.
The second inequality in the statement of the lemma can be proved using arguments similar to the ones used in the proof of the first inequality.
The research is partly about men versus women in science but more deeply about issues of credibility and legitimacy in science: Who is able to make credible statements about the natural world, given the larger societal structures of inequality?
For normal matrices the statement of Theorem 3 in [7] (inequality (1.5)) can no longer be valid.
end{aligned}As for the second inequality in the statement of the lemma let (r_0=1/4) and (sin [1/2,1]).
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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