When was your last WOW moment in mathematics?

AI Thread Summary
The discussion centers on personal experiences of "WOW moments" in mathematics, where sudden clarity or understanding is achieved after prolonged struggle. One participant shared a significant experience from their Master's Thesis involving a complex integral, which they eventually solved, leading to a sense of accomplishment and validation from their advisor. They also described a secondary success when applying the mathematical findings to programming, which further solidified their understanding. Currently in a PhD program, the participant notes that these moments are less frequent but still impactful, especially when contributing to group problem-solving. The thread highlights the emotional highs associated with breakthroughs in mathematical understanding.
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How often do you have them? You know those moments when you have been blindly banging your head against that wall when all of a sudden the wall disappears and you have a moment of satisfying clarity. Understanding ( or at least the illusion or temporary understanding ).

What was you latest WOW moment?
 
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Doh thought this was a thread on math applied to the game WoW
 
I remember when I was working on my Master's Thesis 7 years ago, I had to find a closed form for a pretty ugly integral. It involved integration by parts, but there was also a parameter (n) whose value varied from 2 to infinity. I worked on the specific cases, but only got so far (the case for n = 4 took a couple pages). I didn't think I was ever going to figure it out.

Then, after some research, and the right tricks, I got it. I remember vividly standing in the grad office in front of a portable blackboard, staring at this god-awful statement involving factorials, exponentials, summations and even a gamma function. I also remember skipping down the hallway to show my advisor, who confirmed that it was right.

A secondary success came later when I applied the math to C++ programs (we were creating various statistical distributions from Uniform). I remember sitting in the computer lab (just down the hall from the grad office) with my advisor as he checked the accuracy of my programs. When the statistics program plotted 1000 data values and the pretty little black dots fell within the parameters, my normally stoic advisor looked at me and smiled.

Now I'm in a PhD program after taking many years off. The WoW moments come few and far between lately, and with less fanfare when they do, but it's always nice when 5 PhD students are working for hours on one problem (or even one step of one problem) and I'm the one who finally cracks it. Makes me feel like my choice to go back to school wasn't a bad one.

Hopefully I feel the same way after my comps in January and August.
 
How often do you have them?

When my attention is focused on mathematics I have a mix of large and small "WoW" moments. Suddenly understanding exists, a solution is found, or you see a relationship that was not seen previously.
 
neurocomp2003 said:
Doh thought this was a thread on math applied to the game WoW

HAHA, OMG WTF PWN! That was hilarious...
 
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