Math, physics, and computer science

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Discussion Overview

The discussion revolves around the prospects and job conditions of conducting research in mathematics, physics, and computer science, particularly in academia, research labs, and industry. Participants also explore what graduate school work and research typically entail.

Discussion Character

  • Exploratory
  • Conceptual clarification

Main Points Raised

  • One participant expresses a desire to understand the job prospects and conditions in research across the three fields mentioned.
  • Another participant suggests that a key aspect of research is the ability to navigate uncertainty and the process of defining problems, indicating that being comfortable with ambiguity is important.
  • A question is raised about whether research typically involves tackling unknown problems or known problems that require a different approach to begin addressing them.
  • A response indicates that research can involve both known and unknown problems, emphasizing the importance of clarifying and specifying problems to facilitate effective research.
  • Participants discuss the transition from informal problem identification to formal problem definition, highlighting the significance of technical experience in this process.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of research problems, as some suggest it involves both known and unknown elements, while others focus on the necessity of defining problems clearly. The discussion remains exploratory without definitive conclusions.

Contextual Notes

Participants express varying degrees of familiarity with the research process, indicating that assumptions about problem-solving approaches may differ based on individual experiences and fields of study.

Julio R
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Basically I want to know what the prospects and job conditions of doing research in these three field in academia,research labs, and industry are. And also what grad school work and research is usually like.
 
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Hey Julio R and welcome to the forums.

In terms of research in general, you have to ask yourself whether you like the prospect of whether you are comfortable (at least initially) in being totally clue-less about not only solving a problem, but also what you even need to begin to clarify what the real problem is and how you can approach it.

If you are OK with this then it will be a good attribute for research no matter what field you are in.

Remember the word is re-search, and the constant re - "searching" is as the title implies.
 
So in general terms is research similar to solving a problem that you are not aware of? Or is it a known problem that you just don't know how to start working on?
 
It may involve both depending on the problem.

If you are working on an existing known problem then that is one thing, but if you are working on something that isn't really as specific, then part of the research will be to make your own problem in your own mind a lot more specific.

This needs to be done for any problem you have and the simple act of making the problem absolutely crystal clear (especially in a few contexts) is one of the critical things in solving a problem.

Think about situations that start out as largely informal ("I wonder if I can find a way to make this more efficient") and then slowly they become very formal ("How can I minimize this value of lambda given these specific constraints assuming a global bounded error under assumptions 1, 2, 3...")

This is especially significant in big problems when you have a good informal idea of what you want but don't have enough technical experience to make it clear.
 

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