When was your last WOW moment in mathematics?

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Discussion Overview

The discussion revolves around personal experiences of "WOW moments" in mathematics, where participants share instances of sudden clarity or understanding after struggling with complex problems. The scope includes personal anecdotes and reflections on the emotional impact of these moments in both academic and practical contexts.

Discussion Character

  • Exploratory
  • Conceptual clarification

Main Points Raised

  • One participant describes a significant "WOW moment" while working on a Master's Thesis, where they found a closed form for a complex integral involving factorials and gamma functions, leading to a sense of accomplishment.
  • Another participant reflects on the frequency of "WOW moments," noting that they can vary in size and impact, often resulting in newfound understanding or solutions to problems.
  • A participant humorously misinterprets the thread as relating to mathematics in the game World of Warcraft (WoW), indicating a potential for varied interpretations of the topic.
  • One participant mentions the rarity of "WOW moments" during their current PhD studies, contrasting it with earlier experiences, but still values the moments when they occur.

Areas of Agreement / Disagreement

Participants generally share similar sentiments about the nature of "WOW moments" in mathematics, though there is no consensus on their frequency or emotional impact across different experiences.

Contextual Notes

Some discussions touch on the subjective nature of these moments, with varying definitions of what constitutes a "WOW moment" and how they may differ in academic versus practical settings.

Who May Find This Useful

Individuals interested in personal experiences related to learning and understanding mathematics, as well as those reflecting on the emotional aspects of academic challenges.

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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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