Each technique is placed within a classification and is justified and explained mathematically.
The spikes are, mathematically speaking, identical to a set of ordered latent classes with fixed relative locations and size.
The other approach is reductionist, isolating the component structures of a deformed body in such a way that they can be idealized and modelled mathematically.
Mathematically, our limit o results were based on methods and techniques from the theory of state-dependent queuing networks.
Although this is a mathematically convenient assumption, the way humans look at the world does not always conform to it.
One is then obliged to assume "constitutive factors" instead of "residual factors" and accordingly to proceed to the application of procedures that are mathematically different.
A household-farm model is used as a way to mathematically represent the agents who are both producers and consumers of agricultural goods.
It is worth pointing out that our results even apply to such mathematically unwieldy structures as term models for full-scale programming languages.