The term monotonic transformation (or monotone transformation) can also possibly cause some confusion because it refers to a transformation by a strictly increasing function. This is the case in economics with respect to the ordinal properties of a utility function being preserved across a monotonic transform (see also monotone preferences).

Monotone interpolation can be accomplished using cubic Hermite spline with the tangents modified to ensure the monotonicity of the resulting Hermite spline.. An algorithm is also available for monotone quintic Hermite interpolation.. Interpolant selection. There are several ways of selecting interpolating tangents for each data point.

Three-dimensional spirals. For simple 3-d spirals, a third variable, h (height), is also a continuous, monotonic function of θ. For example, a conic helix may be defined as a spiral on a conic surface, with the distance to the apex an exponential function of θ.. The helix and vortex can be viewed as a kind of three-dimensional spiral.. For a helix with thickness, see spring (math).

En mathématiques, une fonction monotone est une fonction entre ensembles ordonnés qui préserve ou renverse l'ordre. Dans le premier cas, on parle de fonction croissante et dans l'autre de fonction décroissante.Ce concept est tout d'abord apparu en analyse réelle pour les fonctions numériques et a été généralisé ensuite dans le cadre plus abstrait de la théorie des ordres