Here's a table showing all the converted lengths I omitted sp to avoid arithmetic overflows:. The precise rules how TeX inputs a dimension expressed in a certain unit are commented in these two posts:.
Why pdf file cannot be reproduced? What value TeX uses as its minimal unit. The underlying thing is that internally all dimensions are integer multiples of sp unit, hence there must be some conversion done. A few salient points:. But it is hard to guess the borderline: As this might surprise people I am providing here some examples you can try out:.
One must use 0. One must use 1.
The bigger the dimension unit, the less precise the inner representation. Hence using in is a less precise input method than using cm which is less precise than using pt.
For example using em typically means you ave a 10sp granularity, and there is no way to go below that, even with using 17 decimal digits in the expression of the dimension using with em unit. Using pt
Cm in zoll umrechnen online dating the minimal 1sp granularity. Regarding the Didot point, there is a more-detailed examination in a section of the xint manual.
Here is another type of table. Following a suggestion done in a comment, the tables first. There seems to be something fishy with the em: I would have guessed it should be exactly 10pt in that case with the default CM fonts.
Perhaps some font expert could explain what is the mechanism? Actually the two approximationsgiven with 20 places after the decimal mark, for 1em and 1exare exact, the denominators Cm in zoll umrechnen online dating powers of 2, the complete decimal expansion only has zeros after those shown.
The same table but with siunitx with the already built one for comparison. One needs to prepare the body of the table beforehand. Using this we can see some funny effect of the internal truncations done by TeX:. We see that bp are represented in an exact manner internally exact meaning that the ratio As we can see indeed, it is not possible to represent exactly 10bp as an integer number of sp. We see that truncation, rather than rounding is used.
Indeed 10bp would be more accurately represented by sp Cm in zoll umrechnen online dating 1bp would be more accurately equated to sp. To get the e-TeX extensions the executable etex or pdftex which is what I actually used rather than tex must be used.
Home Questions Tags Users Unanswered. What are the various units ex, em, in, pt, bp, dd, pc expressed in mm? Regis da Silva 5, 13 60 Here's a table showing all the converted lengths I omitted sp to avoid arithmetic overflows: Any particular reason why you do not do: And TeX's nice arithmetic can be seen.
Werner k 59 Herbert k 23 I like how the centimeter didn't come out right That's an important thing to note for the question asked. This isn't quite right for fonts with narrow M's, see en. What value TeX uses as its minimal unit The underlying thing is that internally all dimensions are integer multiples of sp unit, hence there must be some conversion done.
A few salient points: This is a core TeX aspect and will not be changed by any higher level interface for testing dimension equality. As this might surprise people I am providing here some examples you can try out: After the exact table I also give a table with values rounded to Cm in zoll umrechnen online dating decimal places.
What is the exact range in pt? The maximal input for a dimension expressed in pt is Anything bigger creates a dimension too large error.
In fact the minimal spec which gives this maximal allowed value is But as I said An inch is Also called Postscript Point, in TeX this is called a big point bp. Herberts answer shows you how to find the length of 1 ex and 1em in your document. You have a small typo here. BTW I think it is not widely known that Google's calculator supports both points. Indeed, you're right, thanks. I don't think Cm in zoll umrechnen online dating edit the post though, that'll bring the "Cm in zoll umrechnen online dating" to the top of the list again, and the correct value is in the accepted answer anyway.
Jun 27 '11 at You shouldn't care about such small detail as moving your answer to the top, because keeping the mistake is definitely bad. That is a good point, I'll fix it. It seems that TeX's memory you used is more important. If I load xparse over Philippe's macros I get strings out ofstring characters out ofwords of memory out of AlainMatthes There's a reason that the LaTeX3 approach didn't fly at all when it was first developed early s.
As egreg says, there is a cost to having Cm in zoll umrechnen online dating more structured approach, but the idea is that you enhance code readability and logic.
Not sure what is happening. The first row
Cm in zoll umrechnen online dating first column are fine, but all other entries are incorrect. For example, Column 2 Row 2 is 8.
Did I neglect something? My posting just crossed the other ones. Best to view it, in action. It is better if you put all in one base line to make a comparison. Cm in zoll umrechnen online dating tried to give something to visualize the length with the exception of the sp, which is smaller than the visible wavelength and hence I scaled that byK.
Unit conversion tables are normally done like this. Thanks Yiannis Lazarides, but how to calc result in mm? Using this we can see some funny effect of the internal truncations done by TeX: The code for producing the above: Sign up or log in Sign up using Google. Sign up using Facebook.
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