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Using Local Differential Operators to Model Dispersion in Dielectric Media

Dispersion of electromagnetic waves is usually described in terms of an integro-differential equation. In this paper we show that whenever a differential operator can be found that annihilates the susceptibility kernel of the medium, then dispersion can be modeled by a partial differential equation without nonlocal operators.

Representations, symbols, icons, concepts... and why there are no mental representations

One of the key claims I have defended previously is that longstanding arguments over whether concepts are either (mental) representations or(non-representational) abilities gets its premises fundamentally wrong: concepts must be both. When one reflects on them – when one considers one’s concepts as concepts – they just are representations; but when one possesses and employs them non-reflectively t

fMRI activation mapping using wavelet-based SPM (WSPM) integrated with gray-matter graphs

In many fMRI task-evoked studies, localized brain activity can be detected by GLM fitting and statistical hypothesis testing. Statistical parametric mapping (SPM) is the classical method that requires Gaussian pre-smoothing of the data. Instead, the wavelet transform provides a compact representation of activation patterns. Wavelet based SPM (WSPM) is an extension of SPM that combines wavelet proc