What does this subscript signify?

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Discussion Overview

The discussion revolves around the interpretation of subscripts in mathematical expressions encountered in an undergraduate optics physics course. Participants explore the meanings of specific subscripts in the context of functions and derivatives, particularly focusing on expressions related to wave functions and electromagnetic fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant seeks clarification on the meaning of subscripts in expressions like {(δΨ/δt)x} and (Eor/E0i)⊥, noting they understand the symbols but not their relationships.
  • Another participant emphasizes the importance of context for interpreting these subscripts, suggesting that meanings can vary based on their usage.
  • A participant mentions that the first expression represents the partial derivative of a wave function with respect to time while holding the position variable x constant, proposing that the subscript indicates the variable held constant.
  • Another participant reiterates the interpretation of the first expression and expresses a similar understanding regarding the second expression, which relates to the Fresnel equations and the interaction of electromagnetic fields with different media.
  • The second expression is suggested to indicate that the amplitude of the electric field is perpendicular to the interface, though uncertainty remains about any further implications of this subscript.

Areas of Agreement / Disagreement

Participants generally agree on the interpretation of the first expression regarding the partial derivative, but there is uncertainty about the implications of the subscripts in both expressions. The discussion remains unresolved regarding the broader meanings and contexts of these subscripts.

Contextual Notes

Participants note that the meanings of subscripts can depend heavily on the specific context in which they are used, indicating a need for more information to provide definitive interpretations.

shanepitts
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I am currently taken an undergrad Optics physics course, and I am often coming across functions/derivative that have subscripts. I know what those specific symbols mean but I don't know what their relationship is suppose to be. i.e.

{(δΨ/δt)x}=ω

or

(Eor/E0i)
 
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You will get better answers of you can tell us more about exactly where you found these expressions and how they're being used. I and many other people here could make some good guesses, but these subscripts are often used with meanings that are only clear in context... So we need that context to give you more than guesses.
 
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Nugatory said:
You will get better answers of you can tell us more about exactly where you found these expressions and how they're being used. I and many other people here could make some good guesses, but these subscripts are often used with meanings that are only clear in context... So we need that context to give you more than guesses.
The first expression after looking it up states that the this is the partial derivative of a wave function with respect to t, holding the x constant. Hence, I presume that he subscript here means that variable is held constant.
 
shanepitts said:
The first expression after looking it up states that the this is the partial derivative of a wave function with respect to t, holding the x constant. Hence, I presume that he subscript here means that variable is held constant.

Seems likely...
 
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After looking it up, and reading your reply, I think I got my answer. The textbook states that, the first expression is the partial derivative of a wave function with respect to t, holding the x constant. Hence, I presume that the subscript here means that the variable is held constant.

The second expression is the left side of one of the Fresnel equations; discussing the interaction of an electromagnetic field and the interface of two different mediums. I think the subscript means that the amplitude of the electric field is perpendicular to the interface. Not sure if more could be implied by this particular subscript.

Does that sound right?
 

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