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However, note that performance suffers when there are more than 100 alternatives. Placing common values earlier in the list of cases can cause the function to execute significantly faster. For each case, either side of the equals sign "=" can be a simple string, a call to a parser function (including #expr to evaulate expressions), or a ...
Existential introduction (∃I) concludes that, if the propositional function is known to be true for a particular element of the domain of discourse, then it must be true that there exists an element for which the proposition function is true. Symbolically,
The function f is continuous at p if and only if the limit of f(x) as x approaches p exists and is equal to f(p). If f : M → N is a function between metric spaces M and N, then it is equivalent that f transforms every sequence in M which converges towards p into a sequence in N which converges towards f(p).
An MTA cleaner allegedly slashed a man who confronted him for pouring bleach near the spot where he’d been sleeping on a Brooklyn subway platform early Monday, cops and sources said.
A warning has been issued to travelers over the spread of three diseases, including the Marburg virus. It’s a close cousin of Ebola that’s been dubbed the “bleeding eye” virus due to one ...
Indexes ended lower on Thursday as traders focused on the coming jobs report. The data is expected to show the US economy added 214,000 new hires, a steep uptick from October's reading.
A natural follow-up question one might ask is if there is a function which is continuous on the rational numbers and discontinuous on the irrational numbers. This turns out to be impossible. The set of discontinuities of any function must be an F σ set. If such a function existed, then the irrationals would be an F σ set.
The statement A ∨ B is true if A or B (or both) are true; if both are false, the statement is false. n ≥ 4 ∨ n ≤ 2 ⇔ n ≠ 3 when n is a natural number . ⊕