Of a monotonically increasing function " ? " on a finite distributive lattice X with respect to two positive functions " ? " 1, " ? " 2 on the lattice satisfy the condition
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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)
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:You could always compose your polynomial g ( x ) with a horrific but monotonically increasing function h ( x ) to get f ( x ) = h ( g ( x ) ).
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"Welfarism : The judgment of the relative goodness of alternative states of affairs must be based exclusively on, and taken as an increasing function of, the respective collections of individual utilities in these states ."
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The fourth stage, or " Tek Chu ", allowed for increased function over its predecessors in that it " extended beyond the clenched fist ", " a distinct advancement in the evolution of fist-loaded weaponry ".
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Sch�lkopf, Herbrich, and Smola generalized this result by relaxing the assumption of the squared-loss cost and allowing the regularizer to be any strictly monotonically increasing function g ( \ cdot ) of the Hilbert space norm.
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Both Constraint-induced movement therapy ( CIMT ) and modified CI Therapy coupled with intensive and varied exercise training has proven to be effective in reducing spasticity and increasing function of the hemiplegic upper extremity in chronic stroke patients.
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The \ textstyle \ nu ( \ varepsilon ), \ textstyle A ( \ varepsilon ) and \ textstyle \ eta ( \ varepsilon ) are defined as linearly-increasing functions of absorbed hysteretic energy \ textstyle \ varepsilon:
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A Wang transform of the cumulative distribution function is an increasing function g \ colon [ 0, 1 ] \ rightarrow [ 0, 1 ] where g ( 0 ) = 0 and g ( 1 ) = 1.
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Hatfield and Milgrom observed that the accumulated offers and rejections formed a lattice, and that the bidding process in an auction and the deferred acceptance algorithm were examples of a cumulative offer process that was an increasing function in this lattice.
