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Friday, November 4, 2011

SIMPLE PUZZLES

PUZZLE 15

A two-digit number, read from left to right, is 4.5 times as large as the same number read from right to left. What is the number?



PUZZLE 16



Some ducks are marching across a path. There's a duck in front of two ducks, there's a duck behind two ducks, and there's a duck in the middle of two ducks.


What's the least number of ducks that there could have been?





SOLUTIONS




PUZZLE 15 : 18 and 81


PUZZLE 16 : 3 Ducks.

FOR  MORE PUZZLES CLICK HERE

Wednesday, November 2, 2011

LAPLACE TRANSFORM

Introduction:
  •  The Laplace transform is named in honor of mathematician and astronomer Pierre-Simon Laplace, who used the transform in his work on probability theory.
  • Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.
  • Laplace transform is a widely used integral transform.
  • Laplace transform is just a shortcut for complex calculations.

 Real Life Applications:
  •    The Laplace transform turns a complicated nth order differential equation to a corresponding nth degree polynomial.

  • In physics and engineering, it is used for analysis of linear time-invariant systems such as electrical circuits, harmonic oscillators, optical devices, and mechanical systems.
  • The Laplace transform is one of the most important equations in digital signal processing and electronics.
  •  In Nuclear physics, Laplace transform is used to get the correct form for radioactive decay.
  • The Laplace transform reduces a linear differential equation to an algebraic equation, which can then be solved by the formal rules of algebra.FOR MORE APPLICATIONS CLICK HERE
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