We can tell it's important in the list of amendments because it's the first one... Eliminating the right to represent people to talk to their representatives is a very dangerous thing," he said.
Next, we develop the discrete dimensional-convolution procedure, which allows one to eliminate recursive indexing and to represent the solution as a closed-form expression.
In fact, the revised standard eliminated the ability of allocators to represent extensions to the C++ address model, formally (and deliberately) eliminating their original purpose.
This is due to the use of an approximation of boundary conditions to represent the eliminated remainder part of the structure, i.e. the full structure except the subcomponent at hand.
In the reaction time conditions, i.e. Intern and Extern, we first eliminated outliers that were unlikely to represent physiologically interpretable reactions to the visual stimuli: reaction times >2000 ms and <150 ms were regarded as random or anticipatory responses (Hultsch et al., 2002).
The positive valued standardized residuals (each value was squared, then the square root taken, to eliminate negative values) were used to represent this level-independent estimate of IIV (LIV).
It should be noted that calculation of the number of subclasses in major classes takes into account both direct and inverse complement of a sequence in the proximal-8 region to eliminate those subclasses that seem to represent two different sequences but in fact are direct and inverse complement versions of the same sequence.
This proposal to the modeling of system interactions comprises the following characteristics: a) separation of concerns by considering different viewpoints; b) symbolic notation to represent interactions that eliminates the need of connecting related entities in the model; and c) notions of multiplicity of systems, and concurrency and parallelism among systems.
After a relevance network is inferred by connecting any pair of genes with mutual information greater than a certain cutoff value, some edges suspected to represent indirect interactions are eliminated using the data processing inequality principle.
Quaternions are used to represent orientations of a rigid body in the 3-dimensional space eliminating the problem of singularities.
