Introduction: The conventional methods of dosimetry are not capable of dosimetry in such a small volume of less than one cubic millimeter. Although the polymer gel dosimetry method based on magnetic resonance imaging (MRI) could achieve three dimensional dosimetry with high resolution, a spatial resolution evaluation based on gel dose modulation transfer function has not been investigated yet. ...

Digraphs provide an alternative syntax for propositional logic, with digraph kernels corresponding to classical models. Semikernels generalize and we identify a subset of well-behaved semikernels that provides nontrivial models inconsistent theories, specializing the semantics consistent ones. Direct (instead refutational) reasoning resolution is sound complete this semantics, when augmented sp...