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Sigmoid function (Eq. 2) is a continuous transformation function and are used to transform the sum of the weights and state values in the [0, 1] interval.
Hyperbolic tangent function (Eq. 3) is also a continuous transformation function (sigmoid-shaped function) and transforms the sum of the weights and state values in the ([-1,1]) interval.
begin{aligned} fleft( x right) =frac{1}{1+e^{-delta x}} end{aligned} (2) Hyperbolic tangent function (Eq. 3) is also a continuous transformation function (sigmoid-shaped function) and transforms the sum of the weights and state values in the ([-1,1]) interval.
A continuous transformation is one in which neighbouring points are transformed into other neighbouring points.
Amorphous solids have a liquidlike atomic order but are not considered to be true glasses because they do not exhibit a continuous transformation into the liquid state upon heating.
In the Māori tradition, the Universe is a dynamic process, a continuous transformation allowing the "unfolding of consciousness and thought".
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Brouwer's fixed-point theorem states that any continuous transformation of a closed disk (including the boundary) into itself leaves at least one point fixed.
Brouwer's fixed-point theorem assures that any continuous transformation on the closed ball in Euclidean space has a fixed point.
The derivation is valid for any continuous transformation function corresponding to cloaks, anti-cloaks, rotators, concentrators, etc.
After this, Lemoine published another series of papers, including a series on what he called transformation continue (continuous transformation), which related mathematical equations to geometrical objects.
To exploit all information contained in the data, Wittmann et al. [ 10] derived a continuous spatio-temporal model using a discrete to continuous transformation of the Boolean network.
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