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As corollaries of these inequalities, we derive Weyl-type bounds on λk, on averages such as λk¯:= 1k∑ℓ⩽kλℓ, and on the eigenvalue counting function.
The current interest in inequality should be seen as an important instance of the general growth of interest in heterogeneity of phenomena, as opposed to our hitherto almost exclusive focus on averages (such as GDP per capita and the consumer price index), "representative agents" and the like.
Introduced more than half a century ago, the list has consistently beaten market averages such as the S&P 500.
Hectic M&A activity stirred up some action on an otherwise lackluster day, but failed to move market averages such as the S&P 500 and the Nasdaq Composite Index out of their tight confines.
That means that we currently show a wider race between Trump and Clinton than do simple averages, such as the model used by RealClearPolitics.
The rate of Caesarean sections, however, seems to be rising, particularly in hospitals that have lower mortality averages, such as Memorial.
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United Way has big donors, too, who drive up that average, such as the nearly 30,000 people who give $10,000 a year.
Lord Hutton's report recommends that defined benefit pensions should continue, but with a career average such as for those who joined the civil service scheme after 2007.
Those health care costs were acutely felt in regions of the country where incomes are below the national average, such as the southern and southeastern states.
Parameters that describe a single event in a call, such as peak level or peak frequency give better results than parameters that describe an average, such as weighted frequency and main frequency.
Public schools should be open to the public, meaning all children are not only permitted but are also welcomed and equitably supported, even if their education may be more costly than average, such as that of students with disabilities or English-language learners.
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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