'Physics' Terms for Integral quantities?

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Discussion Overview

The discussion revolves around the terminology used in physics for integral quantities, specifically questioning whether there are established terms analogous to "flux" for line and volume integrals. Participants explore the definitions and implications of these terms within the context of physics and mathematics.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants suggest that "flux" is specifically tied to surface integrals and question the validity of terms like "linflux" or "volux" for line and volume integrals.
  • Others propose that "flow" might be a relevant term for line integrals, although it is also used in conjunction with other types of integrals.
  • A participant argues that the concept of "flux" inherently requires a surface, making the idea of line or volume flux nonsensical from a definitional standpoint.
  • Another participant expresses confusion about the original question, seeking clarification on what is meant by "labeling" a line integral in a manner similar to flux.
  • Some participants express frustration over perceived misunderstandings and tone in the conversation, indicating a breakdown in communication.
  • There is a discussion about the nature of flux as a quantity passing through a surface, with a participant noting that line integrals can be used in contexts like potential difference, but do not have a direct equivalent term like flux.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether there are established terms for line and volume integrals analogous to flux. Multiple competing views remain regarding the definitions and implications of these terms.

Contextual Notes

Some participants express uncertainty about the definitions and applications of terms related to integrals, highlighting the complexity of the concepts involved and the potential for miscommunication.

greswd
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'Flux' is often used to describe quantities associated with a surface integral.

I wonder if there are corresponding terms for the line and volume integrals. Linflux? Volux?
 
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Here's an article on flux:

https://en.wikipedia.org/wiki/Flux

With respect to your question, I've never heard of formal terms for flux of a line integral or volume integral.

The nearest thing I could think of is flow for a line integral and even that is used with the others.

Perhaps one of the math mentors can pitch in here @micromass or @Mark44 or @HallsofIvy
 
greswd said:
'Flux' is often used to describe quantities associated with a surface integral.

I wonder if there are corresponding terms for the line and volume integrals. Linflux? Volux?

I'm puzzled. A "flux", by definition, is the rate of flow of something through a surface! You can't remove the surface from it, because that is part of its definition.

This is like asking for an electron with charge -3e.

A "line" flux makes no sense because a mathematical line that we use has no width. A "volume" flux also makes no sense, because a flux through a closed surface, i.e. enclosing a volume, is already part of our standard idea of flux.

Zz.
 
I think both of you have misunderstood my question.

I was wondering if there is a physics term to label a line integral in the manner in which flux 'labels' surface integrals.

Just want to know whether there are other names for a line integral that relate to physics
 
greswd said:
I think both of you have misunderstood my question.

I was wondering if there is a physics term to label a line integral in the manner in which flux 'labels' surface integrals.

Just want to know whether there are other names for a line integral that relate to physics

We would have understood you better if you care to explain what you want. For example, what does "...label a line integral in the manner in which flux 'labels' surface integral... " mean? Label?

Zz.
 
ZapperZ said:
We would have understood you better if you care to explain what you want. For example, what does "...label a line integral in the manner in which flux 'labels' surface integral... " mean? Label?
Zz.

Ok pal, don't need to be so condescending. I can't hear the tone of your voice but the one I'm hearing in my head sounds like that. I don't know if its just me or if that's your intention but this is my feedback, You got to be mindful online that text can't convey emotion very well.

Anyway, I'm just wondering if there are alternate terms related to line and volume integrals like flux is related to surface integrals
 
I give up.

Zz.
 
ZapperZ said:
I give up.

Zz.

I wasn't trying to scold you, I stated that it was just my feedback.

I think that its a good thing. What if you had been offending people all the time without intending to? Relax.

(the reason I mentioned 'condescending is because Zz said "if you care to explain")
 
Last edited:
I think you misunderstand what flux is. Flux is some quantity passing through a surface, so it is not just a surface integral. It is a surface of a vector field projected normally to said surface.

To my knowledge, there isn't such a term or concept applying to line or volume integrals, as they aren't generally used in the same way. Sometimes you'll see line integrals used similarly with a vector field but it is often just a flux that has been simplified so that the depth is assumed to be unity (or other such simplification).
 
  • #10
boneh3ad said:
I think you misunderstand what flux is. Flux is some quantity passing through a surface, so it is not just a surface integral. It is a surface of a vector field projected normally to said surface.

To my knowledge, there isn't such a term or concept applying to line or volume integrals, as they aren't generally used in the same way. Sometimes you'll see line integrals used similarly with a vector field but it is often just a flux that has been simplified so that the depth is assumed to be unity (or other such simplification).
oh, no, I'm not saying that flux is equivalent to surface integrals. Potential difference use line integrals a lot.
 

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