Extending the pairwise position classification findings to discriminate between four arbitrary environmental positions revealed a region of the hippocampus that is involved in the general storage and/or manipulation of position representations.
Therefore, we propose that these individual abstracted position representations aggregated together form the basis of the allocentric cognitive map [4], or the set of invariant spatial relationships [37], representing the layout of an environment.
Due to the modulo operation of the bar position representation, using a simple subtraction operation causes irregularities at boundaries.
Since the solution space of the JSP is discrete, we modified the particle position representation, particle movement, and particle velocity to better suit PSO for the JSP.
The position representation of these states with overall phases is derived by Moller et al. for the simple harmonic oscillator by employing geometric operations in phase space [17].
It is important to realize that the operator valued field φ x,t) in QFT is not analogous to the wavefunction ψ x,t) in QM, i.e., the quantum mechanical state in its position representation.
The results about non-localizability which have been explored above may appear to be not very astonishing in the light of the following facts about ordinary QM: Quantum mechanical wave functions (in position representation) are usually smeared out over all ℜ3, so that everywhere in space there is a non-vanishing probability for finding a particle.
By the same token one can dismiss proposed variants of de Broglie-Bohm theory that are not based on the position representation, e.g. Epstein's (1953) momentum-based theory, which would utterly fail to exhibit the correct 'collapse' behaviour and classical regime, precisely because decoherence interactions are clearly not momentum-based.
We note that the ϵ based quantum dynamics are in correspondence with the dimensionless Eq. (3), where the momentum operator in the position representation is p = − i ϵ ∂ / ∂ x.
If intermediaries overcome challenges regarding positioning, representation and the level of proactivity, they can play a precarious role in demand articulation in the context of new technologies.
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