Not seeing things in physics and mathematics.

AI Thread Summary
The discussion centers around the frustration of encountering moments in mathematics where an individual fails to recognize an obvious solution, specifically in relation to calculus and the concept of the rising factorial. The original poster expresses feelings of inadequacy after realizing they overlooked a straightforward connection between their answer and established mathematical notation. They share their struggle with such moments, which lead to self-doubt and even consideration of changing their major. Responses emphasize that these experiences are common in the field of mathematics and physics, suggesting that they are part of the learning process. Participants encourage a focus on learning from these moments rather than allowing them to undermine confidence, noting that even experienced professionals face similar challenges. The conversation highlights the importance of resilience and self-reflection in overcoming feelings of frustration and inadequacy in academic pursuits.
KingCrimson
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I was doing this problem in calculus, and I came up with the answer dy/dx=n(n+1)(n+2)..(n+(n-1)) and so on. To me this looked like a factorial backwards, and I wanted to find notation that expresses such a series. I googled it and I found the "Rising Factorial" notation. However, as I continued reading the page, I saw this, "The rising factorial can be expressed as Factorial of (n+(n-1))." At this moment I felt stupid for not realising this. It was obvious yet I didn't see it.
Now why I am posting this topic is that I get really frustrated when such things occur, when I just don't see it. It doesn't happen frequently, but when it does it just kills me and makes me think I am stupid or something.
I even considered choosing another major due to this happening to me before. I know I may be overreacting, and I know I am not stupid, I am well capable of mathematics and physics beyond my age, but I don't know how to deal with such moments.
Does it ever happen to you? how do you deal with it then?
 
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Worse stuff happens mate. You're not the first and won't be the last for feeling terrible about missing obvious things, but don't let that discourage you. Maybe it's just a bad day and you'll get over it in a while.

If however, you repeatedly find yourself struggling at grasping concepts (NOT the occasional silly mistake), then I think you should reconsider your subject choice.
 
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no no not at all, my physics teacher said in my university recommendation letter that I have an exceptional ability to graps new physical concepts and in solving problems. I don't miss obvious things unless I know I have not been carefull, it's those hidden things that I expect that I must see otherwise I wouldn't be a good physicist that really piss me off.
 
KingCrimson said:
I was doing this problem in calculus, and I came up with the answer dy/dx=n(n+1)(n+2)..(n+(n-1)) and so on. To me this looked like a factorial backwards, and I wanted to find notation that expresses such a series. I googled it and I found the "Rising Factorial" notation. However, as I continued reading the page, I saw this, "The rising factorial can be expressed as Factorial of (n+(n-1))." At this moment I felt stupid for not realising this. It was obvious yet I didn't see it.
Now why I am posting this topic is that I get really frustrated when such things occur, when I just don't see it. It doesn't happen frequently, but when it does it just kills me and makes me think I am stupid or something.
I even considered choosing another major due to this happening to me before. I know I may be overreacting, and I know I am not stupid, I am well capable of mathematics and physics beyond my age, but I don't know how to deal with such moments.
Does it ever happen to you? how do you deal with it then?

Then welcome to the club. If you are hoping that such a thing won't happen, then you are in the wrong profession. This happens to almost everyone, even when you become established in your profession.

http://physicsandphysicists.blogspot.com/2006/11/big-one-that-got-away.html

The best thing you can do is to learn from it and figure out what made you missed such a thing.

Zz.
 
It's in the nature of the phenomenon of attention that you can be looking directly at a thing you're familiar with and not instantly grasp what you're looking at. The most common scenario I can suggest for that is when you happen to arrive at the thing from a direction you've never taken before. If you only ever go through a certain traffic intersection going East or West, approaching it from the South or North by accident one day, and not expecting it to be coming up, it can fail to register at first that you've ever been through that intersection.
 
So it was (2n-1)!/(n-1)! in the end right. Am I missing something.
 
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