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conjugate fractions

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  • Periodic continued fraction — In mathematics, an infinite periodic continued fraction is a continued fraction that can be placed in the form:x = a 0 + cfrac{1}{a 1 + cfrac{1}{a 2 + cfrac{ddots}{quadddotsquad a k + cfrac{1}{a {k+1} + cfrac{ddots}{quadddotsquad a {k+m 1} +… …   Wikipedia

  • Marine pharmacognosy — For many years, traditional Western pharmacognosy focused on the investigation and identification of medically important plants and animals in the terrestrial environment, although many marine organisms were used in Traditional Chinese Medicine.… …   Wikipedia

  • Fraction (mathematics) — A cake with one quarter removed. The remaining three quarters are shown. Dotted lines indicate where the cake may be cut in order to divide it into equal parts. Each quarter of the cake is denoted by the fraction 1/4. A fraction (from Latin:… …   Wikipedia

  • Golden ratio — For the Ace of Base album, see The Golden Ratio (album). Not to be confused with Golden number. The golden section is a line segment divided according to the golden ratio: The total length a + b is to the length of the longer segment a as the… …   Wikipedia

  • Partial fraction — In algebra, the partial fraction decomposition or partial fraction expansion is a procedure used to reduce the degree of either the numerator or the denominator of a rational function (also known as a rational algebraic fraction). In symbols, one …   Wikipedia

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • Acid dissociation constant — Acetic acid, a weak acid, donates a proton (hydrogen ion, high …   Wikipedia

  • 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

  • Sylvester's sequence — In number theory, Sylvester s sequence is a sequence of integers in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are::2, 3, 7, 43, 1807, 3263443, 10650056950807,… …   Wikipedia

  • Suite de Sylvester — Démonstration graphique de la convergence vers 1 de la somme 1/2 + 1/3 + 1/7 + 1/43 +... Chaque rang de n carrés de côté 1/n a une aire totale de 1/n ; l ensemble des rangs recouvre exactement un carré plus grand, d aire 1. [Les carrés de… …   Wikipédia en Français

  • Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …   Wikipedia

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