Dots on physics equations. What do they mean?

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In physics equations, a dot above a variable indicates differentiation with respect to time, where one dot signifies the first derivative (speed) and two dots denote the second derivative (acceleration). The discussion briefly touches on the meaning of a dot on the side, with participants suggesting it may relate to notation like f prime or f double prime, although clarity is lacking. An example of the second derivative is provided, illustrating its mathematical representation. The conversation concludes with participants acknowledging the points made and indicating the discussion is finished. Understanding these notations is crucial for interpreting motion and dynamics in physics.
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So when there is a dot above the equation it means with respect to time. What does it mean if there are two on the top or one on the side?
 
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Two on top of a variable usually mean the second derivative with respect to time.
"One on the side" - can you give an example?
 
epislon58 said:
So when there is a dot above the equation it means with respect to time. What does it mean if there are two on the top or one on the side?

For future reference, always provide context and sources when you ask something like this.

Zz.
 
That is a shorthand of writing the derivative. Two dots above would mean double derivative.

One on the side - I don't recall that one.

PS. 0405, 0406, 0408 and they all showed up with my post not before
 
epislon58 said:
So when there is a dot above the equation it means with respect to time. What does it mean if there are two on the top or one on the side?

One dot on top usually means the first derivative with respect to time (that is, speed), two dots on top the second derivative with respect to time (that is, acceleration).

A dot on the side? Show us an example of what you mean and you'll get a better answer.
 
perhaps the dot on the side - he is referring to f prime and f double prime - only thing i can think of, only it's not a dot.
 
This is what I am talking about.
 

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I think that is a punctuation mark. Or a misplaced time-derivative point.
 
Well it so the Euler Lagrange equation. Is it suppose to be there ?
 
  • #10
That's hard to tell from the RHS only, as both derivatives (with and without dot) are interesting.
You can check the units to find it out.
 
  • #11
This is the entire equation
 

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  • #12
That is a punctuation mark.
 
  • #13
Thank you good sir.
 
  • #14
it's just derivative wrt time


.
x = dx/dt
= lim: t→0 in x/t
 
  • #15
namanjain, OP is talking about the second dot.
That's just a period marking the end of the sentence.
 
  • #16
CompuChip said:
namanjain, OP is talking about the second dot.
That's just a period marking the end of the sentence.

ohh! sorry read half of the first sentence
well 2 on top means: ..
x =
d2x
______________
dt2

second derivative

eg if
x=t8 e(t2)

a = d2x
______________
dt2

get answer using wits,(:-p it's short)

aNs

a= 56t6e(t2) + 34t8e(t2) 4t10e(t2)
 
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  • #17
namanjain please read the full thread, you are not adding anything new here.
 
  • #18
mfb said:
namanjain please read the full thread, you are not adding anything new here.

then i suppose discussion is over, thank you
 
  • #19
Over means over, thread closed.
 
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