Time Dilation Calculator: 1/(sqrt 1-(v/c)^2) Explained

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Discussion Overview

The discussion revolves around the LaTeX formatting for the time dilation factor expressed as 1/(sqrt(1-(v/c)^2)). Participants are exploring how to correctly format this expression for use in a forum setting, specifically in relation to time dilation calculations in the context of special relativity.

Discussion Character

  • Technical explanation
  • Meta-discussion

Main Points Raised

  • One participant expresses difficulty in formatting the LaTeX for the time dilation factor and describes the desired structure of the equation.
  • Another participant provides a corrected version of the LaTeX code and explains the formatting issue related to spaces.
  • A third participant confirms the correction and expresses gratitude for the assistance.
  • Additional information is shared regarding the limitations of LaTeX functionality on the forum due to a recent platform change.
  • One participant mentions experiencing issues with LaTeX formatting on another forum and inquires about the uniqueness of the LaTeX syntax used on Physics Forums.
  • Another participant suggests that the LaTeX rendering might have a time delay on other platforms, referencing a comment from another user about the forum's JavaScript handling of LaTeX.

Areas of Agreement / Disagreement

Participants generally agree on the LaTeX formatting issues and share experiences, but there is no consensus on the specifics of LaTeX functionality across different forums.

Contextual Notes

Limitations include potential differences in LaTeX rendering across platforms and the recent changes to the forum software that may affect formatting capabilities.

Force1
[tex]\frac{1/sqrt 1-{v/c}^2}[/tex]

(1/(sqrt 1-(v/c)^2))
Obviously I don't use tex enough to know how to write a simple relationship. I'm trying to get the tex for an inverse relationship for the time dilation factor to apply to the time calculated in the rest frame d/c, i.e. t=distance light travels divided by the speed of light.

I would describe it as 1 in the numerator, and in the denominator, the sqrt of (1 minus (v/c)^2).
 
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Force1 said:
[tex]\frac{1}{\sqrt{ 1- (v/c)^2}}[/tex]

(1/(sqrt 1-(v/c)^2))Obviously I don't use tex enough to know how to write a simple relationship. I'm trying to get the tex for an inverse relationship for the time dilation factor to apply to the time calculated in the rest frame d/c, i.e. t=distance light travels divided by the speed of light.

I would describe it as 1 in the numerator, and in the denominator, the sqrt of (1 minus (v/c)^2).
I fixed the LaTeX above. Here's what I did (delete the space between each pair of $). I have to do that so that the script won't get rendered in the browser.
Code:
$ $ \frac{1}{\sqrt{ 1- (v/c)^2}} $ $
 
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Code (Text):
$$ \frac{1}{\sqrt{ 1- (v/c)^2}} $$

Excellent. Thank you.
 
Darn, this is embarrassing, but I'm posting in another forum that uses XenForo and couldn't get tex to work so I came here, got help, it worked here, and when I tried it on the other forum, it failed. Is the $ $ $ $ unique to Physicsforums? I also tried [ tex] [ /tex] over there though and it didn't work either. I just saw your second post and will look at that link.
 
I don't know if the $ $ (or # # for inline TeX, similar to [ itex ]) is specific to us here. You might try posting this as a question in the Forum Feedback section.
 
This may or may not be of interest, but I found that over there, after you post with tex, there is a time delay before it renders properly. I mentioned that, and rpenner saw my post and said:

"It's a clever use of Javascript, so it has to be triggered by loading (or reloading) the page and doesn't reflect your intent on first posting as the forum software javascript tries to display your new post (or edit) without reloading the page."
 

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