Difference between revisions of "User talk:Ddk001"
m (→Weird expressions) |
m (→Things I think is interesting) |
||
| (51 intermediate revisions by 9 users not shown) | |||
| Line 1: | Line 1: | ||
<asy>draw((0,0)----(0,6));draw((0,-3)----(-3,3));draw((3,0)----(-3,6));draw((6,-6)----(-6,3));draw((6,0)----(-6,0));</asy> | <asy>draw((0,0)----(0,6));draw((0,-3)----(-3,3));draw((3,0)----(-3,6));draw((6,-6)----(-6,3));draw((6,0)----(-6,0));</asy> | ||
| + | |||
| + | ==User counts== | ||
| + | If this is your first time seeing this section, please edit it by adding the number by 1. | ||
| + | |||
| + | <cmath>\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{6}}}}}}}}}}}}}}}}</cmath> | ||
| + | |||
| + | Again, as said, this looks like a number on a pyramid. | ||
==Problems== | ==Problems== | ||
| Line 6: | Line 13: | ||
If you have solved the problems in my user page, put your solution here. We might have a discussion about the solution, like we will on a forum. | If you have solved the problems in my user page, put your solution here. We might have a discussion about the solution, like we will on a forum. | ||
| − | |||
===New Problems=== | ===New Problems=== | ||
If you have a problem to contribute, please put it here. I might add it to my user page. If I have a set of <math>15</math> good problems, we can consider starting a mock AIME or we can perhaps get the problems into future AIME. | If you have a problem to contribute, please put it here. I might add it to my user page. If I have a set of <math>15</math> good problems, we can consider starting a mock AIME or we can perhaps get the problems into future AIME. | ||
| − | * Note: I am talking mostly of AIME because my problems are | + | * Note: I am talking mostly of AIME because my problems are mostly AIME based. If you have AMC or olympiad problems to contribute, you are welcomed to put it here. |
| + | |||
==Weird expressions== | ==Weird expressions== | ||
Here is the contest where you try to come up with the with the weirdest expression. Here a record to break: | Here is the contest where you try to come up with the with the weirdest expression. Here a record to break: | ||
| − | <cmath> | + | <cmath>e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{{\frac{(\frac{\sqrt{3223}+\sqrt[23]{9879e}}{293847}+398\pi)^{9812347^{23478^{3^3}}}}{\sqrt[123]{\frac{\sqrt{\sqrt[23e]{3948 \pi}+(\sqrt{\frac{(19203e+\sqrt{\frac{\frac{(\frac{\sqrt[3e]{\frac{\frac{\frac{3}{4}}{\frac{4e}{3}}}{\pi}}}{\sqrt{10101010}}+121\pi)^{23}}{1902\pi e+10} \cdot (\frac{\sqrt[20202023e]{\frac{\frac{\frac{3243234}{4234}}{\frac{1023}{323}}}{23\pi}}}{\sqrt{1230}}+23189\sqrt{2}+29384)^{12}}{192019\sqrt{\frac{232}{2093}}+29384\pi}})^{10}}{1029\sqrt{23}+92483\pi+121212}}+1304987\pi)^{\sin{12394} e}}}{(\sin{(\sqrt{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}}+\sqrt{3+\sqrt{3+\sqrt{3+\sqrt{23}}}}})}+\cos{(\sqrt{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}}+\sqrt{3+\sqrt{3+\sqrt{3+\sqrt{23}}}}})})^{12e}}+\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{18743691}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}</cmath>~[[Ddk001]] |
Be sure to include the owner of the expression. If you thought of another one, do not delete the existing ones. Simply add the new one. | Be sure to include the owner of the expression. If you thought of another one, do not delete the existing ones. Simply add the new one. | ||
| + | |||
| + | Just added a power tower to this expression. I made it slightly more wacky :) ~ [https://artofproblemsolving.com/wiki/index.php/User:Cxsmi cxsmi] | ||
==Talk== | ==Talk== | ||
Hi! You can say anything here. Please include who is talking. ~[[Ddk001]] | Hi! You can say anything here. Please include who is talking. ~[[Ddk001]] | ||
| + | |||
| + | hi -l.m. | ||
| + | |||
| + | Hi!~[[Ddk001]] | ||
| + | |||
| + | HI DDK, [[SANSKAR'S OG PROBLEMS]] do check this out also please tell me when you are free like at what time so that we can exchange some problems and discuss them. BY THE WAY PLEASE MENTION THE TIME ZONE AS WELL BECAUSE I AM IN INDIA~ SANSGANKRSNGUPTA | ||
| + | |||
| + | I'm free sometimes in the evening (7:00-9:00 pm, Central time US). I would love to exchange problems and solutions :D Most of the problems are on [[Ddk001|my user page]].~[[Ddk001]] | ||
| + | Also @SANSGANKRSNGUPTA, I created the [[2023 IOQM Problems]] and added content. I can't get the latex of problem 19 to work, though.~[[Ddk001]] | ||
| + | |||
| + | |||
| + | |||
| + | Hi Ddk, thanks for doing so. https://www.mtai.org.in/wp-content/uploads/2023/09/IOQM_Sep_2023_Question-paper-with-answer-key.pdf | ||
| + | |||
| + | YOU CAN REFER TO THIS FOR CONTRIBUTING AND ADDING THE REMAINING PROBLEMS IN IOQM 2023 PAGE, | ||
| + | https://www.mtai.org.in/wp-content/uploads/2023/09/IOQM_Sep_2023_Question-paper-with-answer-key.pdf | ||
| + | |||
| + | ALSO, DDK YOUR SOLUTION TO THE FIRST PROBLEM OF [[SANSKAR'S OG PROBLEMS]] HAS SOME MISTAKES, AND FOR P1 THERE DO EXIST SOME A AND B SO DO TRY AGAIN! | ||
| + | |||
| + | AND THANK YOU VERY MUCH ONCE AGAIN. DON'T DELETE YOUR SOLUTION EVEN THOUGH IT HAS A MISTAKE JUST LET IT BE THERE AND A NEW SOLUTION, ALSO THESE DAYS I AM TOO BUSY DUE TO SOME STUFF SO PROBABLY I WON'T BE ABLE TO CONVERSATE IN A TIMELY MANNER TILL 10 MARCH, WILL ALSO SOLVE PROBLEMS ON YOUR USER PAGE WHEN I GET TIME. THANKS AGAIN~ SANSGANKRSNGUPTA | ||
| + | |||
| + | I just knew I missed something!~[[Ddk001]] | ||
| + | |||
| + | Hi Ddk, You should check my problem page again and edit the subcase 1.1. also, I solved one of the problems on your user page. also are you an American? Also in which grade you are currently?~SANSGANKRSNGUPTA | ||
| + | |||
| + | Thanks, I'll look at it when I have time (Maybe sometime later). I'm Chinese and had moved to USA and I'm in 5th. ~[[Ddk001]] | ||
| + | |||
| + | hi I am [[Lostinbali]] | ||
| + | |||
| + | Hi, Ddk are you there right now at the very moment?~SANSGANKRSNGUPTA | ||
| + | |||
| + | Hi! I wrote a solution to your sides of a triangle problem on your user page. It was pretty fun to do :) [https://artofproblemsolving.com/wiki/index.php/User:Cxsmi ~ cxsmi] | ||
| + | |||
| + | I was reading through this page and saw that there was a <math>\LaTeX</math> issue on the IOQM Problems page. I took a look at it, and I managed to fix it. The issue was that the "element of" symbol was written out in text (as far as I know, you get the "element of" symbol by using the command /in). ~ [https://artofproblemsolving.com/wiki/index.php/User:Cxsmi cxsmi] | ||
| + | |||
==Things I think is interesting== | ==Things I think is interesting== | ||
The purpose of aops is to "Train today's mind for tomorrow's problems". I will now prove that this is impossible. | The purpose of aops is to "Train today's mind for tomorrow's problems". I will now prove that this is impossible. | ||
| Line 26: | Line 70: | ||
Tell me if you see any flaws in this proof. | Tell me if you see any flaws in this proof. | ||
| + | |||
| + | Doesn't this proof assume that there are infinitely many days? That in itself is a contradiction. ~ [https://artofproblemsolving.com/wiki/index.php/User:Cxsmi cxsmi] | ||
| + | |||
| + | You cannot assume there is finitely many days. Even if you are to assume so, scientists believe that the end of time is at least <math>10^{100}</math> years away from now, so do you think there exist | ||
| + | |||
| + | <cmath>3.65 \cdot 10^{102}</cmath> | ||
| + | |||
| + | problems to solve? ~ [[Ddk001]] | ||
==See also== | ==See also== | ||
* My [[User:Ddk001|user page]] | * My [[User:Ddk001|user page]] | ||
Latest revision as of 20:54, 28 December 2024
![[asy]draw((0,0)----(0,6));draw((0,-3)----(-3,3));draw((3,0)----(-3,6));draw((6,-6)----(-6,3));draw((6,0)----(-6,0));[/asy]](http://latex.artofproblemsolving.com/d/6/1/d61604256e9de426afc94111a204811ff9d3cf0e.png)
Contents
User counts
If this is your first time seeing this section, please edit it by adding the number by 1.
![\[\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{6}}}}}}}}}}}}}}}}\]](http://latex.artofproblemsolving.com/4/0/f/40fdc0d61fdd246b66d56d085814bdfb06f5c38e.png)
Again, as said, this looks like a number on a pyramid.
Problems
Solutions
If you have solved the problems in my user page, put your solution here. We might have a discussion about the solution, like we will on a forum.
New Problems
If you have a problem to contribute, please put it here. I might add it to my user page. If I have a set of 
good problems, we can consider starting a mock AIME or we can perhaps get the problems into future AIME.
- Note: I am talking mostly of AIME because my problems are mostly AIME based. If you have AMC or olympiad problems to contribute, you are welcomed to put it here.
Weird expressions
Here is the contest where you try to come up with the with the weirdest expression. Here a record to break:
![\[e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{{\frac{(\frac{\sqrt{3223}+\sqrt[23]{9879e}}{293847}+398\pi)^{9812347^{23478^{3^3}}}}{\sqrt[123]{\frac{\sqrt{\sqrt[23e]{3948 \pi}+(\sqrt{\frac{(19203e+\sqrt{\frac{\frac{(\frac{\sqrt[3e]{\frac{\frac{\frac{3}{4}}{\frac{4e}{3}}}{\pi}}}{\sqrt{10101010}}+121\pi)^{23}}{1902\pi e+10} \cdot (\frac{\sqrt[20202023e]{\frac{\frac{\frac{3243234}{4234}}{\frac{1023}{323}}}{23\pi}}}{\sqrt{1230}}+23189\sqrt{2}+29384)^{12}}{192019\sqrt{\frac{232}{2093}}+29384\pi}})^{10}}{1029\sqrt{23}+92483\pi+121212}}+1304987\pi)^{\sin{12394} e}}}{(\sin{(\sqrt{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}}+\sqrt{3+\sqrt{3+\sqrt{3+\sqrt{23}}}}})}+\cos{(\sqrt{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}}+\sqrt{3+\sqrt{3+\sqrt{3+\sqrt{23}}}}})})^{12e}}+\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{18743691}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}\]](http://latex.artofproblemsolving.com/6/a/4/6a417664f94fef6fc4b4ae7bd6ac6dddabd50b3a.png)
~Be sure to include the owner of the expression. If you thought of another one, do not delete the existing ones. Simply add the new one.
Just added a power tower to this expression. I made it slightly more wacky :) ~ cxsmi
Talk
Hi! You can say anything here. Please include who is talking. ~Ddk001
hi -l.m.
Hi!~Ddk001
HI DDK, SANSKAR'S OG PROBLEMS do check this out also please tell me when you are free like at what time so that we can exchange some problems and discuss them. BY THE WAY PLEASE MENTION THE TIME ZONE AS WELL BECAUSE I AM IN INDIA~ SANSGANKRSNGUPTA
I'm free sometimes in the evening (7:00-9:00 pm, Central time US). I would love to exchange problems and solutions :D Most of the problems are on my user page.~Ddk001 Also @SANSGANKRSNGUPTA, I created the 2023 IOQM Problems and added content. I can't get the latex of problem 19 to work, though.~Ddk001
Hi Ddk, thanks for doing so. https://www.mtai.org.in/wp-content/uploads/2023/09/IOQM_Sep_2023_Question-paper-with-answer-key.pdf
YOU CAN REFER TO THIS FOR CONTRIBUTING AND ADDING THE REMAINING PROBLEMS IN IOQM 2023 PAGE, https://www.mtai.org.in/wp-content/uploads/2023/09/IOQM_Sep_2023_Question-paper-with-answer-key.pdf
ALSO, DDK YOUR SOLUTION TO THE FIRST PROBLEM OF SANSKAR'S OG PROBLEMS HAS SOME MISTAKES, AND FOR P1 THERE DO EXIST SOME A AND B SO DO TRY AGAIN!
AND THANK YOU VERY MUCH ONCE AGAIN. DON'T DELETE YOUR SOLUTION EVEN THOUGH IT HAS A MISTAKE JUST LET IT BE THERE AND A NEW SOLUTION, ALSO THESE DAYS I AM TOO BUSY DUE TO SOME STUFF SO PROBABLY I WON'T BE ABLE TO CONVERSATE IN A TIMELY MANNER TILL 10 MARCH, WILL ALSO SOLVE PROBLEMS ON YOUR USER PAGE WHEN I GET TIME. THANKS AGAIN~ SANSGANKRSNGUPTA
I just knew I missed something!~Ddk001
Hi Ddk, You should check my problem page again and edit the subcase 1.1. also, I solved one of the problems on your user page. also are you an American? Also in which grade you are currently?~SANSGANKRSNGUPTA
Thanks, I'll look at it when I have time (Maybe sometime later). I'm Chinese and had moved to USA and I'm in 5th. ~Ddk001
hi I am Lostinbali
Hi, Ddk are you there right now at the very moment?~SANSGANKRSNGUPTA
Hi! I wrote a solution to your sides of a triangle problem on your user page. It was pretty fun to do :) ~ cxsmi
I was reading through this page and saw that there was a 
issue on the IOQM Problems page. I took a look at it, and I managed to fix it. The issue was that the "element of" symbol was written out in text (as far as I know, you get the "element of" symbol by using the command /in). ~ cxsmi
Things I think is interesting
The purpose of aops is to "Train today's mind for tomorrow's problems". I will now prove that this is impossible.
Suppose, for the sake of contradiction, that "Train today's mind for tomorrow's problems" is possible. Since we have problems today (Day 1), the base case is taken care of. Now, assume that we have problems on Day 
. Then, since we are training today's mind for tomorrow's problems, there will be problems on the next day, Day 
. Hence, by induction, there will be problems every day. This would imply there is infinitely many problems, a contradiction. Hence, the assumption, "Train today's mind for tomorrows problems", is incorrect.
Tell me if you see any flaws in this proof.
Doesn't this proof assume that there are infinitely many days? That in itself is a contradiction. ~ cxsmi
You cannot assume there is finitely many days. Even if you are to assume so, scientists believe that the end of time is at least 
years away from now, so do you think there exist
![\[3.65 \cdot 10^{102}\]](http://latex.artofproblemsolving.com/e/1/4/e141aaee263de5390cef2bc5cb4c3b110607997d.png)
problems to solve? ~ Ddk001
See also
- My user page
