<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def generate_component_annotation_miriam_match(elements, component, db):
 """ Tabulate which MIRIAM databases the element's annotation match. If the relevant MIRIAM identifier is not in an element's annotation it is ignored. Parameters elements : list Elements of a model, either metabolites or reactions. component : {"metabolites", "reactions"} A string denoting a type of ``cobra.Model`` component. db : str One of the MIRIAM database identifiers. Returns ------- list The components whose annotation does not match the pattern for the MIRIAM database. """

    def is_faulty(annotation, key, pattern):
        # Ignore missing annotation for this database.
        if key not in annotation:
            return False
        test = annotation[key]
        if isinstance(test, native_str):
            return pattern.match(test) is None
        else:
            return any(pattern.match(elem) is None for elem in test)

    pattern = {
        "metabolites": METABOLITE_ANNOTATIONS,
        "reactions": REACTION_ANNOTATIONS,
        "genes": GENE_PRODUCT_ANNOTATIONS
    }[component][db]
    return [elem for elem in elements
            if is_faulty(elem.annotation, db, pattern)]