Short easy question, what does this sort of plus minus symbol mean?

Click For Summary
SUMMARY

The discussion centers on the interpretation of the plus-minus (±) and minus-plus (∓) symbols in mathematical expressions, particularly in the context of quantum mechanics and trigonometric identities. The plus-minus symbol indicates two possible values, while the minus-plus symbol is used in conjunction with the plus-minus to denote specific combinations of addition and subtraction. An example provided is the trigonometric identity cos(α ± β) = cos α cos β ∓ sin α sin β, illustrating the dependency between the symbols. The discussion highlights the importance of understanding these symbols for solving equations and interpreting mathematical expressions accurately.

PREREQUISITES
  • Understanding of mathematical symbols and notation
  • Familiarity with trigonometric identities
  • Basic knowledge of quantum mechanics concepts
  • Experience with solving quadratic equations
NEXT STEPS
  • Research the use of the plus-minus symbol in quantum mechanics
  • Study trigonometric identities and their applications
  • Learn about the implications of the minus-plus symbol in mathematical expressions
  • Explore advanced topics in algebra involving quadratic equations
USEFUL FOR

Students studying mathematics or physics, particularly those preparing for exams in quantum mechanics or trigonometry, as well as educators looking to clarify the use of mathematical symbols in their teaching.

aschulz90
Messages
3
Reaction score
0
I'm studying for a quantum exam and there is this symbol that looks like an inverted plus minus but the minus is attached to the plus...
kind of like

_
+ but attached.
in context:

"x ± vt = constant or x = (-/+) + constant."

Thanks for any speedy help!
 
Physics news on Phys.org
Found an answer on wikipedia:

There is another character, the minus-plus sign (∓) which is seen less often. It is generally used in conjunction with the "±" sign, in such expressions as "x ± y ∓ z", which can be interpreted as meaning "x + y − z" or/and "x − y + z", but not "x + y + z" nor "x − y − z". The upper "−" in "∓" is considered to be associated to the "+" of "±" (and similarly for the two lower symbols) even though there is no visual indication of the dependency.
Thanks anyways.
 
isn't this introductory mathematics? :) when solving a quadratic equation you get this plus-minus sign all the time.
 
A good example of the use of the minus plus symbol is the following trig identity:

38e6763ebbf185e9cff1a63138da69a9.png
 
ah that came out pretty small... if you click it, it gets much larger!
 
davo789 said:
ah that came out pretty small... if you click it, it gets much larger!
Larger, yes. But strangely, illegible. It shows as the negative of the photo, here. Oh, well then, I guess I'll just never know. :cry: :cry:
 
How odd! I'll write it here then:

cos(\alpha ± \beta) = cos \alpha cos \beta \mp sin \alpha sin \beta

All it's saying is that when you use the plus on the LHS, you use the minus on the right and vice-versa.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 15 ·
Replies
15
Views
6K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
15K
  • · Replies 6 ·
Replies
6
Views
6K
  • · Replies 8 ·
Replies
8
Views
7K