Word/notation for "swallowing constant"?

  • Thread starter Thread starter HJ Farnsworth
  • Start date Start date
  • Tags Tags
    Constant
Click For Summary
SUMMARY

The discussion centers on the concept of "swallowing constants" in mathematical expressions, specifically in the context of astrophysics. The user, HJ Farnsworth, describes a method where multiple constants are combined into a single variable, denoted as k, during derivations. Participants confirm that while the term "absorbed into k" is appropriate, there is no widely recognized special name for this practice, as the constant itself lacks unique significance.

PREREQUISITES
  • Understanding of mathematical expressions and constants
  • Familiarity with astrophysics derivations
  • Basic knowledge of variable manipulation in equations
  • Concept of dimensional analysis in physics
NEXT STEPS
  • Research the concept of dimensional analysis in physics
  • Explore mathematical notation conventions in astrophysics
  • Study the role of constants in physical equations
  • Investigate simplification techniques in mathematical derivations
USEFUL FOR

Students of astrophysics, mathematicians, and educators looking to enhance their understanding of mathematical simplification techniques and notation conventions.

HJ Farnsworth
Messages
126
Reaction score
1
Greetings,

I used to sit in on an astrophysics course, where during derivations the professor would often absorb all of the constants in a given expression into a single ever-changing constant at the front of the expression. E.g., for a trivial example, let X be 3 times the circumference of a circle of radius r times the perimeter of a square of side length l, with k the constant in front:

X=kC(r)P(l)=krP(l)=krl.

The constant 3, the 2\pi from C(r), and the 4 from P(l) are all absorbed into k.

Is there a common name for this kind of device, which in the title of this thread I just called a "swallowing constant"? Also, is there a common notation for it?

Thanks for any help that you can give.

-HJ Farnsworth
 
Mathematics news on Phys.org
I would use the phrase you did: "absorbed into k". There is no special name for the constant into which other constants because there is nothing special about it.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 131 ·
5
Replies
131
Views
9K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 125 ·
5
Replies
125
Views
20K
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K