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20-Turquoise
January 21, 2012
Solved

Numerical Evaluation and Symbolic Simplify.

  • January 21, 2012
  • 3 replies
  • 3448 views

Hello,

I have a question, wish learning, and need help. It's about "There's a little bit off between numerical evaluation and symbolic simplify"

A Little Bit Off.PNG

I need help with a brief explanation.

Thank you in advance.

Regards,

Loi Le.

Best answer by LouP

The numeric evaluation has limited precision, so any (32-bit calc) is typically limited to ~10 decimal places. Examples which calculate small differences between two numbers lose accuracy rapidly. Here's a simpler example:

calc.jpg

Lou

3 replies

24-Ruby III
January 21, 2012

Add some more in Mathcad 15 M010:

Pic_1.PNG

12-Amethyst
January 23, 2012

The numeric evaluation has limited precision, so any (32-bit calc) is typically limited to ~10 decimal places. Examples which calculate small differences between two numbers lose accuracy rapidly. Here's a simpler example:

Lou

LouP12-AmethystAnswer
12-Amethyst
January 23, 2012

The numeric evaluation has limited precision, so any (32-bit calc) is typically limited to ~10 decimal places. Examples which calculate small differences between two numbers lose accuracy rapidly. Here's a simpler example:

calc.jpg

Lou

24-Ruby III
February 1, 2012
19-Tanzanite
February 1, 2012

I'm not sure what point you are trying to make, but this is not a good way to get the "correct" answer. I have warned repeatedly about using the float keyword. It does not just limit the precision of the result, it limits the precision of the calculations!