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

  • Context: Undergrad 
  • Thread starter Thread starter cryforhelp104
  • Start date Start date
  • Tags Tags
    equation Variables
Click For Summary
SUMMARY

The lowercase 'r' over variables in the discussed equations represents vector notation, specifically indicating direction, and is an artifact from a PowerPoint presentation. This notation is commonly found in Maxwell's equations, where 'E' denotes the electric field. The confusion arose due to the lack of proper notation in the PowerPoint slides, which did not display vector arrows correctly. Users are advised to refer to the original source for accurate representations of the equations.

PREREQUISITES
  • Understanding of vector notation in physics
  • Familiarity with Maxwell's equations
  • Basic knowledge of electric fields
  • Experience with PowerPoint presentations and their formatting issues
NEXT STEPS
  • Research Maxwell's equations and their applications in electromagnetism
  • Learn about vector notation and its significance in physics
  • Explore common formatting issues in PowerPoint presentations
  • Investigate the role of electric fields in modern physics
USEFUL FOR

Students and educators in physics, particularly those studying electromagnetism, as well as professionals involved in creating educational materials using PowerPoint.

cryforhelp104
Messages
7
Reaction score
1
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.
 
  • Like
Likes   Reactions: PeroK
Mathematics news on Phys.org
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.
 
  • Like
Likes   Reactions: Vanadium 50, FactChecker and Mark44
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.
 
  • Like
Likes   Reactions: FactChecker and SammyS
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.
 
  • Haha
  • Informative
  • Like
Likes   Reactions: Bosko, ohwilleke, Darshit Sharma and 4 others
  • #10
@Mark44 Great sleuthing! How did you find the original text?

Looks like the beginnings of a bug report for better Powerpoint font mapping.
 
  • Like
Likes   Reactions: ohwilleke
  • #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.
 
  • Haha
  • Like
Likes   Reactions: Delta2, Bosko and PhDeezNutz
  • #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:
 
  • Like
Likes   Reactions: PhDeezNutz

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 16 ·
Replies
16
Views
5K
Replies
3
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 16 ·
Replies
16
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K