Goitre the Heavenly Husbandman", asserted that iodine-rich sargassum was used to treat goitre patients by the 1st century BC, but this book was written much later. In the 12th century, Zayn al-Din al-Jurjani, a Persian physician, provided the first description of Graves' disease after noting the association of goitre and a displacement of the eye known as exophthalmos in his "Thesaurus of the Shah of Khwarazm", the major medical dictionary of its time. Al-Jurjani also established an association between goitre and palpitation. The disease was later named after Irish doctor Robert James Graves, who described a case of goitre with exophthalmos
Trace field of a representation algebra formula_12 is then as simple as possible, more precisely: The algebra formula_12 is called the quaternion algebra of formula_4. The quaternion algebra of formula_7 is called the "invariant quaternion algebra" of formula_4, denoted by formula_24. As for trace fields, the former is not the same for all groups in the same commensurability class but the latter is. If formula_4 is an arithmetic Fuchsian group then formula_26 and formula_24 together are a number field and quaternion algebra from which a group commensurable to formula_4 may be derived. The theory for Kleinian groups (discrete subgroups of formula_29) is mostly similar as