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ramified value

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  • Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …   Wikipedia

  • YIDDISH LITERATURE — This articles is arranged according to the following outline: introduction UNTIL THE END OF THE 18TH CENTURY the bible in yiddish literature epic homiletic prose drama liturgy ethical literature Historical Songs and Writings transcriptions of… …   Encyclopedia of Judaism

  • ECONOMIC HISTORY — This article is arranged according to the following outline: first temple period exile and restoration second temple period talmudic era muslim middle ages medieval christendom economic doctrines early modern period sephardim and ashkenazim… …   Encyclopedia of Judaism

  • Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… …   Wikipedia

  • Logicism — is one of the schools of thought in the philosophy of mathematics, putting forth the theory that mathematics is an extension of logic and therefore some or all mathematics is reducible to logic.[1] Bertrand Russell and Alfred North Whitehead… …   Wikipedia

  • Eisenstein's criterion — In mathematics, Eisenstein s criterion gives sufficient conditions for a polynomial to be irreducible over the rational numbers (or equivalently, over the integers; see Gauss s lemma). Suppose we have the following polynomial with integer… …   Wikipedia

  • Discriminant of an algebraic number field — A fundamental domain of the ring of integers of the field K obtained from Q by adjoining a root of x3 − x2 − 2x + 1. This fundamental domain sits inside K ⊗QR. The discriminant of K is 49 = 72.… …   Wikipedia

  • MUELHAUSEN, YOM TOV LIPMANN — (14th–15th centuries), scholar, polemist, philosopher, kabbalist, and one of the great rabbis of Bohemia in his time. His name indicates that he, or his family, probably originally came from Mulhouse in Alsace; all that is known with certainty,… …   Encyclopedia of Judaism

  • RESPONSA — (Heb. שְׁאֵלוֹת וּתְשׁוּבוֹת; lit. queries and replies ), a rabbinic term denoting an exchange of letters in which one party consults another on a halakhic matter. Such responsa   are already mentioned in the Talmud, which tells of an inquiry… …   Encyclopedia of Judaism

  • Europe, history of — Introduction       history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… …   Universalium

  • Italy — • In ancient times Italy had several other names: it was called Saturnia, in honour of Saturn; Enotria, wine producing land; Ausonia, land of the Ausonians; Hesperia, land to the west (of Greece); Tyrrhenia, etc. The name Italy, which seems to… …   Catholic encyclopedia

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