In key respects, Chicago's public schools regularly function as a basic safety net, given that 86percentt of students qualify for free or reduced price lunch, meaning they are living close to or below the official poverty line.
As such, this strategy is unwieldy in class sizes greater than ∼30, unless there is a subgroup structure at play in the classroom with students already functioning regularly in smaller groups.
Thus, the recent research shows that the problem should be studied in the framework of regularly varying functions (also known as Karamata functions).
Generally, function-preserving treatment is a main goal, whereas in the past radical excisions with compartment resections leading to a loss of function, or amputations, were performed regularly; today, function-preserving treatment is anticipated with complete removal where possible, and combination with RT when necessary.
As is the case with transport infrastructure other than railways, Port Development 5-year Plans (Kouwan Seibi Gokanen Keikaku) was regularly made, and functioned as an indication of the financial investments required to upgrade, expand or newly construct transportation ports.
In our main results, we show that if decays polynomially (in the sense that is in the class of integrable and regularly varying functions) and the history grows polynomially as (in the sense that is a regularly varying function at ), and the rate of growth of is not too rapid relative to the rate of decay of, then problems (1.1) and (1.2) are well posed and and as at the rate as.
For further details on regularly varying functions, consult [16].
Here are some further useful properties of regularly varying functions.
We denote the class of regularly varying functions at minus infinity with index by.
