Word/notation for "swallowing constant"?

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The discussion revolves around the concept of absorbing constants into a single variable during mathematical derivations, as observed in an astrophysics course. The term "swallowing constant" is proposed, but participants note that there is no widely recognized name for this practice. It is suggested that simply referring to it as "absorbed into k" is sufficient, as the constant itself does not hold any special significance. The conversation highlights the lack of formal notation or terminology for this concept in mathematical literature. Overall, the focus is on the simplification of expressions by consolidating constants.
HJ Farnsworth
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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
 
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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.
 
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