Compositions and methods are provided to detoxify an auxin-analog herbicide through the use of at least one GH3 polypeptide having amino acidauxin analog herbicide conjugation activity. A device for deploying such a clip is described. The inner trench region surrounds the core region and has an outer radius r2, a refractive index n2 less than n0, and a negative effective refractive index \u0394n2 equal to n2\u2212n0. A digital broadcast decoding system according to the present invention can readily display a plurality of broadcasting programs on different channels onto a small screen within a main screen when digital broadcasts are received, by a decoding method in which processing is easy, structurally simple circuitry, and software. Alternatively, the above drying step during preparation of the positive active material precursor is substituted by preheat-treatment or drying followed by preheat-treatment. In another embodiment, a method includes applying a writing magnetic field to write data to a magnetic medium and applying an assisting magnetic field to the magnetic medium for assisting the writing magnetic field, the assisting magnetic field being applied in a cross-track direction of the magnetic medium and parallel to a plane of a surface of the magnetic medium.