ISRO Computer Science (CSE) 2009 - Question 45

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Which of the following statement is correct (Difference operator)

  • A. Delta(uk vk) = uk Delta vk + vk Delta uk
  • B. Delta(uk vk) = vk+1 Delta uk + uk Delta vk
  • C. Delta(uk vk) = vk+1 Delta uk + uk+1 Delta vk
  • D. Delta(uk vk) = uk+1 Delta vk + vk Delta uk

Answer: B. Delta(uk vk) = vk+1 Delta uk + uk Delta vk

Explanation: The product rule for finite differences is Delta(uv) = u Delta v + v(k+1) Delta u. (Or equivalent forms).

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