Tuesday, August 5, 2008

Next step into Vedic Mathematics...

Having known about Vedic Mathematics how about getting to know some of the basics of it... So here they are... Don't worry if u do not make a head or tail of them... We'll look into the details one by one in the later posts...

Below is a list of the sūtras, translated from Sanskrit into English:
  • "By one more than the previous one"
  • "All from 9 and the last from 10"
  • "Vertically and crosswise (multiplications)"
  • "Transpose and apply"
  • "Transpose and adjust (the coefficient)"
  • "If the Samuccaya is the same (on both sides of the equation, then) that Samuccaya is (equal to) zero"
  • By the Parāvartya rule
  • "If one is in ratio, the other one is zero."
  • "By addition and by subtraction."
  • By the completion or non-completion (of the square, the cube, the fourth power, etc.)
  • Differential calculus
  • By the deficiency
  • Specific and general
  • The remainders by the last digit
  • "The ultimate (binomial) and twice the penultimate (binomial) (equals zero),"
  • "Only the last terms,"
  • By one less than the one before
  • The product of the sum
  • All the multipliers

Subsūtras or corollaries

  • "Proportionately"
  • The remainder remains constant
  • "The first by the first and the last by the last"
  • For 7 the multiplicand is 143
  • By osculation
  • Lessen by the deficiency
  • "Whatever the extent of its deficiency, lessen it still further to that very extent; and also set up the square (of the deficiency)"
  • "By one more than the previous one"
  • "Last totaling ten"
  • The sum of the products
  • "By (alternative) elimination and retention (of the highest and lowest powers)"
  • By mere observation
  • The product of the sum is the sum of the products
  • On the flag




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