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User talk:MRENTHUSIASM

Revision as of 04:35, 7 August 2024 by MRENTHUSIASM (talk | contribs) (→‎Contributions/Alternate Solutions)

Introduction

Hi Everyone,

Welcome to my user talk page. In here, feel free to leave messages about anything you'd like (chats with me, AoPS contribution suggestions, hobbies, movies, music, ...). Let's get a casual time here. :)

I will be responding your messages as soon as I see them. Have fun!

The bottom line here is to be respectful. My pet Hippopotamus will be watching you!

BigHippo.jpeg

~MRENTHUSIASM

Chat(s)GPT

Just found out that you seem to have contributed to [answers of ChatGPT](https://pastebin.com/m0ujzJic) (search for MRENTHUSIASTIC). Your contribution to the knowledge of math online was given to me today. Thought it to be somewhat funny and wanted to let you know :)

Chats

Rayford: First!

Rayford: Hello😀.

Rayford: How do you make a talk page? (Not your Profile page.)

(Rayford had went offline from the chat)

Hello Rayford,

The chat page is just the Discussion Page. You can find that on the left toolbar (just underneath the user page).

I believe anyone at AoPS has the right to edit the others' chat page, when he/she wants to leave a message. :)

Kfcruan: Hi, how do you create your on chatting page?

Kfrcuan: I'd also like to thank you for helping me get solutions for all of these competition problems. --------->  :)

Hello Kfcruan,

You are welcome. Glad that you liked my solutions! :)

You just asked the same question as Rayford did (Chatting page is the same as talk page). I answered it as above.

Kfcruan: I do not see the page though. Could you send a screenshot?

Here it is. Click 1 and 2 in order.

User Chat.jpg

DofL: Hello Mr. Enthusiasm! (It actually took me a while to understand what your username meant before I realized XD)

Hi DofL, nice seeing you here!

Hi MRENTHUSIAM, thanks for visiting my pages! :D I made them from your inspiration!! You are inspiring a lot of people. :) I learned something new today so I thought I would share it. If you put "alternate solutions" with two curly braces on either side, it has a nice message: Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.

-BakedPotato66

Hi BakedPotato66,

Thanks for your kind words and suggestions! :) I modified my user talk page a bit. Feel free to write in the "Contributions/Alternate Solutions" section.

By the way, I am not too sure about the curly braces command you mention--there is no template called Alternate Solutions, so I cannot create that.

Hi MRENTHUSIASM, I am pretty sure that the 'alternate solutions' template works, it works for me. If you go into edit mode, you can see what I wrote above to produce the template text: 

         Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.

By the way, I left in your Hobbies section a message, just a bit about my hobbies. :)

Thanks!

-BakedPotato66

Hi BakedPotato66,

Thanks. I just created the template text in this page.

I won't do that in my main user page--Due to the AoPS Policies, no one can edit the others' user pages unless a permission is given. I only give permissions to modify the User Count. Sorry ...

Bedwarspro: SUP mr enthusiasm

DimiourX: Hello MRENTHUSIASM

smileapple: Hello Mr.Enthusiasm ur the best!!! :)

BananaBall00: Hello! I'm sure you still remember me from the Introduction to Counting and Probability class. Yea, I quit it because I was struggling too much. and also I called you "helpful mod" since your username was a little too long for me back then lol

Arcticturn: Hello!

Saxstreak: Hey, are you from Shenyang?

Nope, why do you think so? :)

Naw, cuz I thought that it was the NE University here in this city.

Ah, I refer to the Northeastern University in Boston.

Also, I recommend https://moe-counter.glitch.me/, it's way better to maintain.

Contributions/Alternate Solutions

Leave your suggestions for my AoPS contributions here! Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.


Hi, I was editing 2018 AMC 12A #24 Solution 4 when I noticed someone else had previously marked it as wrong and you deleted their comment. Here is my revision of the solution, hopefully we can work something out:

Solution 4 (Calculus)

There are two cases of winning:

Case 1: Alice chooses a number that is smaller than Carol's, and Bob chooses a number that is bigger.

Case 2: Alice chooses a number that is bigger than Carol's, and Bob chooses a number that is smaller.

Let Carol's number be $\frac{1}{2}+x$. The probability of Case 1 can be expressed as $\frac{\frac{1}{2} + x}{1}\cdot\frac{\frac{1}{6} - x}{\frac{1}{6}}=\left(\frac{1}{2} + x\right)\left(1 - 6x\right)$, and the probability of Case 2 can be expressed as $\frac{\frac{1}{2} - x}{1}\cdot\frac{x}{\frac{1}{6}}=\left(\frac{1}{2} - x\right)\left(6x\right)$.

Thus, the probability of Carol winning can be expressed as the sum of the probabilities of Cases 1 and 2: $P = \left(\frac{1}{2} + x\right)\left(1 - 6x\right) + \left(\frac{1}{2} - x\right)\left(6x\right)$, which simplifies to $P = \frac{1}{2} + x - 12x^2$. The maximum value of $P$ is obtained through the value of $x$ where the slope is $0$. We take the first derivative and get $1 - 24x$, which yields $0$ at $x = \frac{1}{24}$. Hence, Carol should select $\frac{1}{2} + \frac{1}{24} = \boxed{\textbf{(B) }\frac{13}{24}}$.

Note that the same value of $x$ can be obtained through the Vertex Formula, $x=-\frac{b}{2a}$, without using Calculus.


Also, I recently wrote Solution 6 for 2017 AMC 12B #24, can you help me review it if you have time? Thanks!

~Zhixing

P.S. You're a great Aops instructor, keep it up!

Thanks :) You can add in solutions if you want, as I really have no time writing solutions for contests.

Sorry about that.

Hi I'm the person that added the alternate solving method for 2021 aime i problem 9. Hopefully you can view my revised edit explaining why the triangles are similar. But I'm writing here predominantly to ask you how to get permission to add new solutions to the problems (instead of editing pre-existing ones).

~Chupdogs

Okay got it. I now understand it. Thanks. :) I can undo my most recent changes.

Hobbies

I like to do math, exercise, run, play tennis, and read (if it's a good book). Also, in my spare time, I like to watch YouTube--I find it to be relaxing and takes my mind off things--listen to music, and sometimes take walks.

What about you?

-BakedPotato66

Besides math, I like listening to music and watching detective documentaries in YouTube.

I also love exercises--I will rejoin gym once COVID is really over.

I love doing math, reading, cycling, chess, listening to music, and gardening! -DofL

Leave your hobbies here!

Others

Leave any other types of messages here!

Hi Mr. Enthusiasm! I noticed that you are interested in chess. By any chance, do you have an online chess account? -----sleepypuppy

I did have a chess account, but haven't played chess for a loooooooong time ... :( ~MRENTHUSIASM

Ah. I see. - sleepypuppy

Why do you like cats over dogs? Is it just personal preference? - sleepypuppy

My family raised many cats. Dogs are also adorable for sure. :) I don't have a preference.

What is your favorite food? - sleepypuppy

Sushi. :) ~MRENTHUSIASM

The one with raw fish? Also, which roll of sushi is your favorite, like which toppings? - sleepypuppy

Oh actually, I like sashimi the best. Only fish without rice. I like salmon, tuna, strip bass, and eel. :) ~MRENTHUSIASM

Mmm...sounds good! :D What about pizza? -sleepypuppy


Thanks for inspiring me to do some diagrams in asymptote. I did the asy on most of the AMC8_2023 transcription, but I was only inspired to contribute by the many diagrams you have blessed the wiki with. ~TheMathGuyd


It is delicious, but not my favorite ... ~MRENTHUSIASM

Hello Mr.Enthusiasm, could you please help me in editing the following page 2023 IOQM ~SANSGANKRSNGUPTA

Can we exchange some hard problems and solutions?~Ddk001

Of course. However, I am in China now. Due to timezone difference, I cannot contribute in a timely manner ... ~MRENTHUSIASM

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