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duplicates list edited from How do you round numbers so that it affects computation? to How do you round numbers so that it affects computation?, A problem about function N
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Mr.Wizard
Mr.Wizard
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Post Closed as "Duplicate" by Mr.Wizard
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m_goldberg
m_goldberg
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Mathematica Numerical Value Errors N not behaving in the way I expected it would

I'm trying to use the N function to find the percent error between a function and a rounded value of that function. The code looks something like this.

In[20]:= Tan[10°]

Out[20]= Tan[10°]

In[21]:= N[Tan[10°]]

Out[21]= 0.176327

In[22]:= N[%20] - N[%20, 4]

Out[22]= 0.

In[23]:= N[%22]

Out[23]= 0.

Basically, Mathematica is not recognizing these differences, and thinks they're 0 even when they're not. Does anyone have a workaround for this? I'll probably use IntegerPart if nobody has any thoughts.

Thanks!

Mathematica Numerical Value Errors

I'm trying to use the N function to find the percent error between a function and a rounded value of that function. The code looks something like this.

In[20]:= Tan[10°]

Out[20]= Tan[10°]

In[21]:= N[Tan[10°]]

Out[21]= 0.176327

In[22]:= N[%20] - N[%20, 4]

Out[22]= 0.

In[23]:= N[%22]

Out[23]= 0.

Basically, Mathematica is not recognizing these differences, and thinks they're 0 even when they're not. Does anyone have a workaround for this? I'll probably use IntegerPart if nobody has any thoughts.

Thanks!

N not behaving in the way I expected it would

I'm trying to use the N function to find the percent error between a function and a rounded value of that function. The code looks something like this.

In[20]:= Tan[10°]

Out[20]= Tan[10°]

In[21]:= N[Tan[10°]]

Out[21]= 0.176327

In[22]:= N[%20] - N[%20, 4]

Out[22]= 0.

In[23]:= N[%22]

Out[23]= 0.

Basically, Mathematica is not recognizing these differences, and thinks they're 0 even when they're not. Does anyone have a workaround for this? I'll probably use IntegerPart if nobody has any thoughts.

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J. M.'s missing motivation ♦
J. M.'s missing motivation ♦
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mjkaufer
mjkaufer
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Mathematica Numerical Value Errors

I'm trying to use the N function to find the percent error between a function and a rounded value of that function. The code looks something like this.

In[20]:= Tan[10°]

Out[20]= Tan[10°]

In[21]:= N[Tan[10°]]

Out[21]= 0.176327

In[22]:= N[%20] - N[%20, 4]

Out[22]= 0.

In[23]:= N[%22]

Out[23]= 0.

Basically, Mathematica is not recognizing these differences, and thinks they're 0 even when they're not. Does anyone have a workaround for this? I'll probably use IntegerPart if nobody has any thoughts.

Thanks!