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The set S = {42} has 42 as both an upper bound and a lower bound; all other numbers are either an upper bound or a lower bound for that S. Every subset of the natural numbers has a lower bound since the natural numbers have a least element (0 or 1, depending on convention). An infinite subset of the natural numbers cannot be bounded from above.
Decision boundaries are not always clear cut. That is, the transition from one class in the feature space to another is not discontinuous, but gradual. This effect is common in fuzzy logic based classification algorithms, where membership in one class or another is ambiguous. Decision boundaries can be approximations of optimal stopping boundaries.
Boundary value problems are similar to initial value problems.A boundary value problem has conditions specified at the extremes ("boundaries") of the independent variable in the equation whereas an initial value problem has all of the conditions specified at the same value of the independent variable (and that value is at the lower boundary of the domain, thus the term "initial" value).
Socioeconomic status is complex, with blurry lines between classes. However, your lifestyle and wealth-building opportunities often depend heavily on whether you fall into the middle or lower ...
Lower class, middle class, and upper class are all widely used, but rarely defined terms. For some people, lower class means living in poverty, upper class means a life of luxury, and middle class ...
Lower class: $12,000. Lower-middle class: $61,260. Middle class: $145,200. ... It can also determine where you rank in relation to other Americans of the same age, race or ethnicity and who have ...
The tuple _, ¯ composed of the lower and upper approximation is called a rough set; thus, a rough set is composed of two crisp sets, one representing a lower boundary of the target set , and the other representing an upper boundary of the target set .
One key factor that you can use to determine what class you would fall into is your credit score. For reference, here's how the FICO scoring model defines the various brackets: ... Lower class ...