What does a lower case r mean over variables in an equation?

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Discussion Overview

The discussion revolves around the meaning of a lowercase 'r' over variables in equations, specifically in the context of a PowerPoint presentation related to Maxwell's equations. Participants seek clarification on the notation used and its implications in physics, particularly in relation to vector representation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants express confusion over the notation and emphasize the need for context, such as the source or topic of the equations.
  • Others suggest that the lowercase 'r' may represent vector notation, possibly indicating a vector function or directional derivative.
  • A participant identifies that the 'r' characters are artifacts from copying the PowerPoint, originally intended to be vector arrows.
  • There is a suggestion that the notation could relate to electric field representation in Maxwell's equations, but this is not universally accepted without further context.
  • Some participants criticize the lack of initial context provided by the original poster, which led to misunderstandings and delays in resolving the question.

Areas of Agreement / Disagreement

Participants generally agree that the lowercase 'r' is likely an artifact of formatting, but there is no consensus on its definitive meaning or implications without additional context. Multiple competing views on the notation's significance remain unresolved.

Contextual Notes

The discussion highlights limitations in understanding due to missing context, such as the specific source of the notation and its intended use in equations. There is also a mention of potential issues with PowerPoint font mapping that could affect the representation of vector notation.

Who May Find This Useful

This discussion may be of interest to students and educators in physics, particularly those dealing with vector notation and Maxwell's equations, as well as individuals encountering similar formatting issues in presentations or academic materials.

cryforhelp104
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TL;DR
What does a lower case r mean over variables in an equation?
Image 1-12-24 at 10.25 PM.jpeg

I've attached an example here.
 
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Can you provide some context like what book you found this notation or in what topic the equation is used?
 
I am not familiar with that as a common notation. The book or article should define that notation someplace before it is used. It is not uncommon for me to have to scan back through the text looking for a notation definition. If you are lucky, there might be a section where all notation is defined.
 
jedishrfu said:
Can you provide some context like what book you found this notation or in what topic the equation is used?
Hi, I attached a photo above. I've re-attached it here
Image 1-12-24 at 10.25 PM.jpeg
 
FactChecker said:
I am not familiar with that as a common notation. The book or article should define that notation someplace before it is used. It is not uncommon for me to have to scan back through the text looking for a notation definition. If you are lucky, there might be a section where all notation is defined.
Unfortunately, the notation is from a power point and has no references.
 
When we ask for context, we mean some reference either a mathematical field like geometric calculus or a book where’s it’s used Or the problem in which it was used.

Did this come up in a discussion for a new battery technology? What does the script E stand for? Electromotive force? Is the R some sort of battery resistance?

Could this be some kind of directional derivative along a position vector R or does R represent the real number system?

There is no way to help you here without some context.

Your reluctance implies this is some sort of privileged information from either a company or government source and you can’t divulge that if so then there’s nothing more to do here.

I’ve searched several places and have come up with nothing of note so we are at a dead end without context.

Lastly, please don’t give out any corporate confidential or classified information here.

My suggestion is to go ask the PowerPoint presenter what it means.
 
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jedishrfu said:
When we ask for context, we mean some reference?

What does the script E stand for?

Could this be some kind of directional derivative along a position vector R or does R represent the real number system?

There is no way to help you here without some context.

Your reluctance implies this is some sort of privileged information from either a company or government source and you can’t divulge that if so then there’s nothing more to do here.

I’ve searched several places and have come up with nothing of note So we are at a dead end without context.

Lastly, please don’t give out any corporate confidential or classified information here.

My suggestion is to go ask the PowerPoint presenter what it means.
Dude... it's one of Maxwell's equations. This is from a publicly available slide in my modern physics lecture. The E script stands for the electric field. The powerpoint doesn't have references. The link to the publicly available powerpoint is here. It's on slide 25.
 
They start to use the notation on slide 7 without any description.

from the F=ma equation it looks like it’s just saying the F is a vector function.

maybe they couldn’t place vector arrow notation on the vector quantities and so used an R instead.
 
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cryforhelp104 said:
Dude... it's one of Maxwell's equations.
It would have been good to tell us this, dude.
cryforhelp104 said:
TL;DR Summary: What does a lower case r mean over variables in an equation?

View attachment 338492
I've attached an example here.
The 'r' characters in the image are an artifact of copying from the PowerPoint deck. They are supposed to be arrows that signify vectors. The characters aren't present in the original deck.

Here's how the image originally appeared.

maxwell.png


The same problem appears on slide 7 of the deck.
 
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  • #10
@Mark44 Great sleuthing! How did you find the original text?

Looks like the beginnings of a bug report for better Powerpoint font mapping.
 
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  • #11
jedishrfu said:
Great sleuthing! How did you find the original text?
From the link that the OP showed.
cryforhelp104 said:
The link to the publicly available powerpoint is here. It's on slide 25.
 
  • #12
cryforhelp104 said:
Dude...
Dude, lose the 'tude!

I downloaded the file in question, and guess what? The r's turned into little overhead vector arrows.

And had you posted this link in the OP rather than play the game "Tell the people on PF as little as possible and make them guess" you would have had your answer in an hour and not a day.

Dude.
 
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  • #13
Thread paused pending Moderation...

(biting my lip)
 
  • #14
After a Mentor discussion, the thread will remain closed. Thanks for the great find to explain it, @Mark44 :smile:
 
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