Consider the everywhere continuous strictly increasing function
2.
The term "'monotonic transformation "'can also possibly cause some confusion because it refers to a transformation by a strictly increasing function.
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That is, if function f is quasisupermodular, then so is function g : = H \ circ f, where H is some strictly increasing function.
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:: : Since 2 ^ x + 3 ^ x is a strictly increasing function of x, there can be only one solution . Bromskloss 08 : 01, 21 June 2007 ( UTC)
5.
The above technique of iterating a function to find a fixed point can also be used in set theory; the fixed-point lemma for normal functions states that any continuous strictly increasing function from ordinals to ordinals has one ( and indeed many ) fixed points.