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Unformatted text preview: Declarative Programming Languages Jim Royer EECS January 19, 2010 Jim Royer (EECS) Declarative Programming Languages January 19, 2010 1 / 10 A Historical Digression Algebra is largely an Arabic/Persian invention. I Muhammed ibnMusa alKhwarizmi – 9 th century AD I “completing the square” I “solving quadratic equations” ( ax 2 + bx + c ) Jim Royer (EECS) Declarative Programming Languages January 19, 2010 2 / 10 A Historical Digression, Continued The Renaissance Italians built on the Arabic work. I Motivated by financial and commercial problems I General solutions to cubic and quartic equations I But what did their equations look like . . . Gerolamo Cardano 1501 – 1576 Jim Royer (EECS) Declarative Programming Languages January 19, 2010 3 / 10 Cardano’s Rhetorical Algebra (circa 1550) Solve: Let a cube and six times its side equal 20. x 3 + 6 x = 20 A Solution: Cube one third the num ber of sides (i.e., the coef. of x) . Add to it the square of onehalf the constant of the equation and take the square root of the whole. You will put this twice, and to thewhole....
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This note was uploaded on 03/09/2010 for the course CIS CIS252 taught by Professor Jimroyer during the Spring '10 term at Syracuse.
 Spring '10
 JimRoyer

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