A nutrient or medicinal composition for administration to ruminants, which includes a core of one or more biologically active substances coated with a film of polyurethane, overcoated with an \u201cintermediate\u201d wax is disclosed. In the photo detector, at least a part of a resonance region formed by the periodic structure is included in the photoelectric conversion layer of the photo detector. When the ending point is not recorded, the PCM can default to a charge-sustaining mode. After an operating state in which the air-fuel is lean is cancelled, or after a fuel cut is cancelled, an estimated output of the virtual exhaust gas sensor is estimated based on a gas amount that contributes to reduction of the upstream and downstream catalysts and a detected output of the exhaust gas sensor provided between the upstream and downstream catalysts. The invention further relates to polymers that contain said flame-retardant composition. The dosage formulation can be administered either by an oral preparation including, but not limited to, a microcapsule, mini-capsule, time released capsule, sprinkle or other methodology.