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First we need to choose an interval: Then we can say that a local maximum is the point where: The height of the function at a is greater than (or equal to) the height anywhere else in that interval. Or, more briefly: f(a) â¥ f(x) for all x in the interval. In other words, there is no height greater than f(a).
The tipping point is the critical point in an evolving situation that leads to a new and irreversible development.The term is said to have originated in the field of epidemiology when an infectious disease reaches a point beyond any local ability to control it from spreading more widely.n some usage, a tipping point is simply an addition or increment that in itself might not seem extraordinary but that unexpectedly is just the amount of additional change that will lead to a big effect.