Difference between revisions of "Sophy's Theorem"
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| − | + | '''Sophy’s Theorem''' is a revolutionary theory that establishes a direct relationship between the number of troll posts made on the AoPS forums and the likelihood of procrastination in a person’s daily life. | |
== Theorem == | == Theorem == | ||
| − | The theorem states that for any given individual, the | + | The theorem states that for any given individual, the more troll posts they make on AoPS, the more likely they are to procrastinate on important tasks, such as studying for math contests or completing homework. Specifically, if a person makes 𝑥 troll posts on AoPS, the probability 𝑃 of them procrastinating increases exponentially according to the formula: |
| + | <cmath> P = e^x - 1 </cmath> | ||
| + | Where 𝑥 is the number of troll posts made in the last 24 hours, and 𝑃 is the procrastination probability, which ranges from 0 to 100%. The more troll posts, the higher the procrastination probability. This holds true for both high schoolers and competitive math enthusiasts. | ||
== Proof == | == Proof == | ||
| − | To prove | + | To prove Sophy’s Theorem, we apply a combination of psychological reasonin and sound logic. |
| − | Step 1: | + | '''Step 1:''' |
| − | + | Troll Posts Definition | |
| + | A troll post is defined as any post on AoPS that: | ||
| + | Has no useful mathematical content. | ||
| + | Is meant to confuse or mislead other forum users. | ||
| + | Uses memes, strange abbreviations, or cryptic messages instead of math. | ||
| − | + | '''Step 2:''' Procrastination Behavior | |
| − | + | Procrastination is the act of avoiding tasks that need to be done by engaging in irrelevant activities. For example, spending hours refreshing the AoPS forums, engaging in meme wars, or creating 1000 fake usernames just to vote in an AoPS poll. Studies show that procrastination is often a defense mechanism triggered by the overwhelming desire to avoid doing anything productive. | |
| − | |||
| − | Step 2: | ||
| − | |||
| − | Step 3: The Relationship | + | '''Step 3:''' The Relationship |
| − | + | The more troll posts an individual makes on AoPS, the more their brain becomes rewired into the ''“I should not do productive things”'' mode. This leads them to actively seek distractions like trolling forums, and eventually, it increases their procrastination. The relationship is exponential: making one troll post leads to a small procrastination increase, but making ten troll posts leads to an unstoppable procrastination frenzy, often leading to hours of wasted time. | |
| − | + | Thus, we conclude that the more troll posts one makes, the more likely they are to procrastinate on important academic tasks. This is supported by countless anecdotal evidence from AoPS users who regularly go off-topic to discuss their favorite memes instead of solving math problems. | |
| − | + | '''''More Trolling = More Procrastination.''''' | |
| − | + | [[Category:Theorems]] | |
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Latest revision as of 12:43, 5 February 2025
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Sophy’s Theorem is a revolutionary theory that establishes a direct relationship between the number of troll posts made on the AoPS forums and the likelihood of procrastination in a person’s daily life.
Theorem
The theorem states that for any given individual, the more troll posts they make on AoPS, the more likely they are to procrastinate on important tasks, such as studying for math contests or completing homework. Specifically, if a person makes 𝑥 troll posts on AoPS, the probability 𝑃 of them procrastinating increases exponentially according to the formula:
![\[P = e^x - 1\]](http://latex.artofproblemsolving.com/1/7/b/17b29e925e22f933638ce006cda26e130ac7e1f9.png)
Where 𝑥 is the number of troll posts made in the last 24 hours, and 𝑃 is the procrastination probability, which ranges from 0 to 100%. The more troll posts, the higher the procrastination probability. This holds true for both high schoolers and competitive math enthusiasts.
Proof
To prove Sophy’s Theorem, we apply a combination of psychological reasonin and sound logic.
Step 1: Troll Posts Definition A troll post is defined as any post on AoPS that: Has no useful mathematical content. Is meant to confuse or mislead other forum users. Uses memes, strange abbreviations, or cryptic messages instead of math.
Step 2: Procrastination Behavior Procrastination is the act of avoiding tasks that need to be done by engaging in irrelevant activities. For example, spending hours refreshing the AoPS forums, engaging in meme wars, or creating 1000 fake usernames just to vote in an AoPS poll. Studies show that procrastination is often a defense mechanism triggered by the overwhelming desire to avoid doing anything productive.
Step 3: The Relationship The more troll posts an individual makes on AoPS, the more their brain becomes rewired into the “I should not do productive things” mode. This leads them to actively seek distractions like trolling forums, and eventually, it increases their procrastination. The relationship is exponential: making one troll post leads to a small procrastination increase, but making ten troll posts leads to an unstoppable procrastination frenzy, often leading to hours of wasted time.
Thus, we conclude that the more troll posts one makes, the more likely they are to procrastinate on important academic tasks. This is supported by countless anecdotal evidence from AoPS users who regularly go off-topic to discuss their favorite memes instead of solving math problems.
More Trolling = More Procrastination.
