In this designed ferrite cementite steel, the third "phase" of the model represents finite intermediate "layers" in ferrite due to large geometrically necessary dislocation (GND) densities around cementite particles.
Modelling the dynamics of walking involves the analysis of its two phases of motion: (1) the single support phase, which represents finite motion; and (2) the impulsive motion of the impact that occurs at the end of each step (heel strike).
So in probabilistic inductive logic we represent finite collections of premises by conjoining them into a single sentence.
The implementation represents finite sets as lists, the union operation on sets as list concatenation, and equality between sets as extensional equality on lists etc.
Heraclitus, with his reduction of everything to fire, is the token monist; Empedocles, with his four elements, represents finite pluralism; and Anaxagoras, read through the lens of Aristotelian doxography as making all the 'homoeomerous' or 'like-parted' stuffs the elements, is treated as fundamentally sui generis.
The key to application of this understanding is appropriately designed dose-response and time-response studies which will, with appropriate consideration of biological mechanisms, allow prediction of conditions of exposure (and their confidence limits) that represent finite levels of risk of injury.
Currently, we are exploring ways in which quasiperiodic tilings in three and four dimensions can be forced by local rules, which for quasicrystals represent finite-range interatomic interactions.
Instead of making the threshold non-zero, the correct remedy is to consider the weakest link model to have a finite number of links, each of them representing one finite-size representative volume element of material.
This method provides two sets of elements representing the finite element model and the microstructure.
This method provides two sets or layers of elements representing the Finite Element Model and the microstructure.
