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While the model responses are well-described by multiplication, the responses are not purely multiplicative.
It is formulated by multiplication of the effective heat transfer and the effective thermal stress functions.
In this case $\varphi : R \to R$ is given by multiplication on $M$ by an element $r \in R$.
Hence, a string of positive returns builds a person's wealth not merely by addition but by multiplication, as each subsequent gain grows ever bigger.
The superficial layer is continuously being shed, and the layers are renewed by multiplication of the cells in the innermost, or basal, layer.
In addition, the results show that the parallel nonlinear components should be combined by multiplication rather than addition.
Application of normal load on an initial arc shaped vitrified metallic foil is followed by multiplication of the initial arc.
This allows us to estimate the individual response pattern's likelihood function for the measure administered by multiplication of the item response probabilities.
And the sampling theorem essentially was derived by observing or using the notion that sampling could be done by multiplication or modulation with an impulse train.
and, by multiplication and integration over, (2.7).
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The other story is augmentation-by-multiplication.
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