Talk:Discretization error

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when we define the derivative of f(x) as f'(x) = lim h->0 [f(x+h)-f(x)]/h or f'(x) is approximately equal to [f(x+h)-f(x)]/h, where h is a finitely small number. The difference between the first formula and this approximation is known as discretization error.

Rk158903 (talk) 16:16, 29 September 2008 (UTC)[reply]

Difference between Discretization Errors and Quantization Errors

Discretization Error
Real number has an important property called density property that says that between any two real number there is a another real number .and so on to infinity if a and b are two real number then there exist another real number c which is equal to $(a+b)/2$ .and also there exist another real number d which equal to $(a+c)/2$ and so on to infinity. this is in mathematics but in computation it is different we cannot say that there is a line we theoretically contains an infinite number of steps instead we have a something called grid or lattice or mesh .
Quantization Errors
It is errors arises due the limitation of floating point representation , it is two types truncation error and round off error.