<p>I am studying a paper <em><a href="https://iopscience.iop.org/article/10.1086/497889/pdf" rel="nofollow noreferrer">The effect of star formation history on the inferred stellar initial mass function</a></em> and trying to reproduce the given results.</p>
<p>According equation (1) in the paper, the inferred IMF f(M) can be determined if the PDMF phi(M) and the star formation history S(t) is known. I am trying to calculate S(t) as per the description given in that paper in vain. Roughly, by what amount will the slope of f(M) change from phi(M) if S(t) is calculated? Example: If phi(M) = M^(-2.5), then by what amount will the index change in f(M) if S(t) is calculated and inserted into equation (1)?</p>

CC BY-SA 4.0
2021-05-12T14:50:23.770Z
It seems that you have not asked any specific questions, and thus it sounds like a "do my work for me" kind of question. Please provide details for the concepts you are confused about. If you don't understand the basics, describe what concepts are confusing. The more detailed your question, the better answers it will attract.
Daddy Kropotkin
CC BY-SA 4.0
2021-05-13T05:17:36.030Z
My intention was sincerely not to make my question sound like what you felt. According equation (1) in the paper, the inferred IMF f(M) can be determined if the PDMF phi(M) and the star formation history S(t) is known. I am trying to calculate S(t) as per the description given in that paper in vain. Roughly, by what amount will the slope of f(M) change from phi(M) if S(t) is calculated? Example: If phi(M) = M^(-2.5), then by what amount will the index change in f(M) if S(t) is calculated and inserted into equation (1)?
Krishna Kumar Kowshik
CC BY-SA 4.0
2021-05-13T07:48:39.667Z
@KrishnaKumarKowshik - Put that clarification into the question. That would improve it a lot.
Anders Sandberg
CC BY-SA 4.0
2021-05-13T13:10:32.053Z
No worries! :) Thank you for clarifying. This will probably attract more people now. I've added +1
Daddy Kropotkin
<star-formation><star-cluster><initial-mass-function>
How to account for the effect of Star Formation History on the inferred Stellar Initial Mass Function?
Krishna Kumar Kowshik
# How to account for the effect of Star Formation History on the inferred Stellar Initial Mass Function?

(Asked by: username_0 on 2021-05-12)

I am studying a paper *[The effect of star formation history on the inferred stellar initial mass function](https://iopscience.iop.org/article/10.1086/497889/pdf)* and trying to reproduce the given results.

According equation (1) in the paper, the inferred IMF f(M) can be determined if the PDMF phi(M) and the star formation history S(t) is known. I am trying to calculate S(t) as per the description given in that paper in vain. Roughly, by what amount will the slope of f(M) change from phi(M) if S(t) is calculated? Example: If phi(M) = M^(-2.5), then by what amount will the index change in f(M) if S(t) is calculated and inserted into equation (1)?

**Tags:** star-formation, star-cluster, initial-mass-function

> **Comments:**
> **username_1**: It seems that you have not asked any specific questions, and thus it sounds like a "do my work for me" kind of question. Please provide details for the concepts you are confused about. If you don't understand the basics, describe what concepts are confusing. The more detailed your question, the better answers it will attract.  
> **username_0**: My intention was sincerely not to make my question sound like what you felt. According equation (1) in the paper, the inferred IMF f(M) can be determined if the PDMF phi(M) and the star formation history S(t) is known. I am trying to calculate S(t) as per the description given in that paper in vain. Roughly, by what amount will the slope of f(M) change from phi(M) if S(t) is calculated? Example: If phi(M) = M^(-2.5), then by what amount will the index change in f(M) if S(t) is calculated and inserted into equation (1)?  
> **username_2**: @username_0 - Put that clarification into the question. That would improve it a lot.  
> **username_1**: No worries! :) Thank you for clarifying. This will probably attract more people now. I've added +1  

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## 0 answers

