Swapnil's Messageboard - II

This is my newest messageboard. Feel free to express your views about anything. You can also comment on my problems and ask me questions about things in general. As mentioned on my previous messageboard, Please share Math olympiad problems here.

Cheers!

Regards, Swapnil Das

#Messageboard

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Well, @Rajdeep Dhingra Can you please post some more projectile motion problems in your free time? I @Swapnil Das would be indebted! ( Just trying to see what happens when you mention yourself!)

Swapnil Das - 5 years, 12 months ago

Hello Sir, I want your help. I am very weak in geometry , so I wanted to take some advice from you about it. Please tell me what shall I do to improve it. Thanks.

@Michael Mendrin

Swapnil Das - 5 years, 9 months ago

Me too ! I am also weak in Geometry.

Rajdeep Dhingra - 5 years, 9 months ago

well u've got lvl 4 n u r say'ng u r weak!!

Sarthak Rath - 5 years, 8 months ago

I have completed your set, but I think that you should mention that g=9.8,one can not take it 10

Parth Lohomi - 6 years, 1 month ago

Thank U! Gonna change it in 2 hours( Eating egg roll)!

Swapnil Das - 6 years, 1 month ago

It takes two hours for you to eat an egg roll? :O :O

Mehul Arora - 6 years, 1 month ago

@Mehul Arora – Maybe a Jumbo one :P .....

Venkata Karthik Bandaru - 6 years, 1 month ago

@Venkata Karthik Bandaru – Well, That could be possible :P XD

Mehul Arora - 6 years, 1 month ago

@Venkata Karthik Bandaru – Or maybe he is a "snail" eater XD

Mehul Arora - 6 years, 1 month ago

@Mehul Arora – Nope, it was just a lengthy excuse!

Swapnil Das - 6 years, 1 month ago

What is your favourite technique in all of mathematics ?

Venkata Karthik Bandaru - 6 years, 1 month ago

Till now, my favourite is Fermat's little theorem.

What about you?

Swapnil Das - 6 years, 1 month ago

My favourite techniques are Induction and Invariance Principle.

By the way, I meant techniques, not theorems.

Venkata Karthik Bandaru - 6 years, 1 month ago

@Venkata Karthik Bandaru – If you ask about techniques, then induction will be my favourite!

Swapnil Das - 6 years, 1 month ago

I love Fermat's Infinite Descent and also Simon's Favorite Factoring Trick.

Arian Tashakkor - 6 years, 1 month ago

what happened to first message board?

Sarthak Rath - 6 years, 1 month ago

As to every messageboard, It died after two weeks!

Swapnil Das - 6 years, 1 month ago

????

Sarthak Rath - 6 years, 1 month ago

@Sarthak Rath – No notice of notes after 2 weeks! It's a Brilliant ritual!

Swapnil Das - 6 years, 1 month ago

@Swapnil Das – i reall don't understand! i have created a new messageboard so i want to know.

Sarthak Rath - 6 years, 1 month ago

@Sarthak Rath – Your messageboard would be forgotten after 2 weeks!

Swapnil Das - 6 years, 1 month ago

@Swapnil Das – by whom and how??? also u stay at my hometown! bhubaneshwar!

Sarthak Rath - 6 years, 1 month ago

@Sarthak Rath – Ya! I do stay there! By the Brilliant Community as other important notes will bury your MB down!

Swapnil Das - 6 years, 1 month ago

@Swapnil Das – oh! u know odia?

Sarthak Rath - 6 years, 1 month ago

@Sarthak Rath – Obviously@Sarthak Rath

Swapnil Das - 6 years, 1 month ago

@Ruchin Shroff Hello! Thanks for following me! R U new to Brilliant.org?

Swapnil Das - 6 years, 1 month ago

Ya Just Registered at brilliant.org

Ruchin Shroff - 6 years, 1 month ago

@Noel Lo Thanks for liking my prob!

Swapnil Das - 6 years ago

Thank you also for supporting my Logic Puzzle on the five siblings!

Noel Lo - 6 years ago

My pleasure! @Noel Lo

Swapnil Das - 6 years ago

@Swapnil Das – No worries! There are two other versions of the logic puzzle! The links for both are in the problem you just solved! Enjoy!

Noel Lo - 6 years ago

@Noel Lo – which problem? can i get the link?

Sarthak Rath - 6 years ago

@Sarthak Rath – Go to explore! @Sarthak Rath

Swapnil Das - 6 years ago

Thank you @Sandeep Bhardwaj Sir for kindly contributing to the logic section!

Swapnil Das - 6 years ago

@Nihar Mahajan Do you wanna become a Mathematician?

Swapnil Das - 6 years ago

No I wanna be an Engineer.

Nihar Mahajan - 6 years ago

@Sravanth Chebrolu Hey bro! actually the answer to the second question asking for remainder is 46. It is given in my answer key and I solved it too.

Swapnil Das - 6 years ago

Can you ex plain that?

Sravanth C. - 6 years ago

The last expression comes as x^2 -13x + 32 = f(x)

Swapnil Das - 6 years ago

@Swapnil Das – Understood! Dividing it by $(x+1)$ the remainder is, $f(-1):(-1)^2-13(-1)+32 \\ =1+13+32 \\ =\boxed{46}$

Sravanth C. - 6 years ago

@Sravanth C. – Well, If u get some free time, Please post some problems on Newton's Sums.

Swapnil Das - 6 years ago

@Swapnil Das – Sure! But recently I am working on Combinatorics, I see to that very soon! I am building a new set don't miss it!

Sravanth C. - 6 years ago

@Sravanth C. – I will surely try to solve them and also popularize the set!

Swapnil Das - 6 years ago

@Swapnil Das – Thanks! But, I think I must leave now. See you soon! bye!

Sravanth C. - 6 years ago

Oh! Yes. Sorry for leading you the wrong way.

The new function is actually, $f(x):x^2-13x+32$ ! And that when divided by $(x+1)$ leaves $46$ .

Sravanth C. - 6 years ago

No sorry in Friendship! ( if you accept me one)

Swapnil Das - 6 years ago

@Swapnil Das – Of course! You are by best friend on Brilliant! Who's understood me as perfectly as possible.

Sravanth C. - 6 years ago

@Sravanth C. – Oh, Thanks! I thought U would get frustrated by my foolishness!

Swapnil Das - 6 years ago

@Swapnil Das – Never! I am guy of very high patience.

Sravanth C. - 6 years ago

@Sravanth C. – That is really nice!

Swapnil Das - 6 years ago

U called me ?

Rajdeep Dhingra - 6 years ago

Yes, pls be my trig teacher and tell me how to start.

Swapnil Das - 6 years ago

Just read 11th NCERT. It's great.

Rajdeep Dhingra - 6 years ago

@Rajdeep Dhingra – Will DAT be enough for both physics and math?

Swapnil Das - 6 years ago

@Swapnil Das – For physics it would be. But if U mean Problem Solving in Maths then U can practice from brilliant.

P.S - For NSEJS it is enough.

Rajdeep Dhingra - 6 years ago

@Rajdeep Dhingra – in which class u r

Dev Sharma - 5 years, 8 months ago

@Dev Sharma – 9th, Can you hangout me in G+?

Swapnil Das - 5 years, 8 months ago

@Swapnil Das – bro, just email me your message... Ok??

Dev Sharma - 5 years, 8 months ago

@Dev Sharma – Aahh.. sure. I thought we could discuss Olympiad problems in the brilliant community we have made in g+.

Swapnil Das - 5 years, 8 months ago

@Rajdeep Dhingra – Thanks , Sir!

Swapnil Das - 6 years ago

Where did your Einstein go?

Nihar Mahajan - 6 years ago

Haha, well which one do you like? The original pic or the Einstein?

Swapnil Das - 6 years ago

Of course , Einstein.

Nihar Mahajan - 6 years ago

@Nihar Mahajan – Then I shall change it.

Swapnil Das - 6 years ago

@Nishant Rai Hello Sir! I just wanted to make a humble request. The standard of the problems you post on Brilliant is really great. I just wanted you to post some kinematics problems on B'ant( without trigonometry, but of high standards). Please take my request into consideration, and please help aspiring physicists like me.

Swapnil Das - 6 years ago

@Swapnil Das Thanks! give me some time, i will surely post questions related to Kinematics.

Nishant Rai - 6 years ago

Thank you very much!

Swapnil Das - 6 years ago

Come on Hangouts

Rajdeep Dhingra - 6 years ago

RD u there! Actually my internet connection has finished and I am on tab, so I will not be able to come before 15th .

Swapnil Das - 6 years ago

Ohh.... .

Rajdeep Dhingra - 6 years ago

@Rajdeep Dhingra – I hope you would not mind talking here.

Swapnil Das - 6 years ago

@Swapnil Das – not at all . I can surely talk here.

Rajdeep Dhingra - 6 years ago

@Rajdeep Dhingra – Thanks, BTW I am learning Trig and Graphs.

Swapnil Das - 6 years ago

@Nishant Rai pls post the solution to the problems. Thanks!

Swapnil Das - 6 years ago

@Swapnil Das to all the questions i have posted??

Nishant Rai - 6 years ago

No Sir, the Kinematics ones up recently posted.

Swapnil Das - 6 years ago

@Swapnil Das – Not now, but will post after some members posts their solutions. I want to see how other people are attempting the same question.

Nishant Rai - 6 years ago

@Nishant Rai Hello again, Sir!

Can you please suggest me some reference books for Class 11 Physics?

Swapnil Das - 6 years ago

@Swapnil Das

Read NCERT first, as it will , to some extent, help you in your boards.

After that, do NCERT Exemplar. You can get the pdf's from here . It contain's some very good, high level questions.

If enrolled in some coaching institute, go through their material thoroughly ( Do not jump form one coaching material to some other, they all contain the same thing, except the way they are written).

Nishant Rai - 6 years ago

@Swapnil Das

I forgot to mention $\text{Concepts of Physics Vol I and II - H. C. Verma}$ . Do it to clear and test your conceptual understanding of the subject.

Nishant Rai - 6 years ago

@Nishant Rai – @Swapnil Das After that, go for $\text{Problems in General Physics - I.E.Irodov}$

Nishant Rai - 6 years ago

@Nishant Rai – I have already solved from problems from there in class 8.

Swapnil Das - 6 years ago

@Sravanth Chebrolu Hi! Can you please let me know how are you so good at logic? How can I improve?

Swapnil Das - 6 years ago

I think you must take suggestions from Nihar or Pi Han Goh sir or Calvin sir or Julian Poon sir etc. . .

They are lot better than me!

Sravanth C. - 6 years ago

Remember the thoughts,

Imagination is more important than Knowledge. . .

Practice makes man perfect. . .

I think these two thinks did help me a lot! But, honestly, I don't think I am so good

Here are some tips to improve yourself:

I recommend you to play chess if you would like to improve at logic.(I personally love playing the game!)
You can practice questions on brilliant! That's the best way to improve yourself.

Sravanth C. - 6 years ago

Well can we play online chess?

Swapnil Das - 6 years ago

@Swapnil Das – Ofcourse! Can you provide me the link? But I can't do it today, maybe tomorrow after $5$ PM?

Sravanth C. - 6 years ago

@Sravanth C. – No, I was just asking if there is an online link for playing chess,..

Swapnil Das - 6 years ago

@Swapnil Das – I'm sorry, but I don't know any such website? If you find any do inform me! $\huge\ddot\smile$

Sravanth C. - 6 years ago

@Sravanth C. – Sure!

Swapnil Das - 6 years ago

@Swapnil Das – Thanks!

Sravanth C. - 6 years ago

@Swapnil Das – Yes here it (www.chess.com)

Rajdeep Dhingra - 6 years ago

@Rajdeep Dhingra – Page not found.

Swapnil Das - 6 years ago

@Swapnil Das – sorry now check.

Rajdeep Dhingra - 6 years ago

@Sravanth Chebrolu Hey Sravanth, Have you posted any problems on Projectile motion? Can you post some?

Swapnil Das - 5 years, 12 months ago

Have U tried mine ? Come on Hangouts

Rajdeep Dhingra - 5 years, 12 months ago

I can't come on Hangouts for reasons, and yes I have tried your problems, and the alien Projectile problem was just great!

Swapnil Das - 5 years, 12 months ago

@Swapnil Das – Have U tried Pizza War 2 ?

Rajdeep Dhingra - 5 years, 12 months ago

@Rajdeep Dhingra – I was mistakened long ago! :(

Swapnil Das - 5 years, 12 months ago

@Swapnil Das – I didn't get U.

Rajdeep Dhingra - 5 years, 12 months ago

@Rajdeep Dhingra – I did the problem wrongly long ago, I meant. :(

Swapnil Das - 5 years, 12 months ago

Yeah. You can check my set Gravity, but presently I am not working much with physics, if you really want some problems I'll post them soon! $\ddot\smile$

Sravanth C. - 5 years, 12 months ago

Thank you!

Swapnil Das - 5 years, 12 months ago

Well, @Rajdeep Dhingra does FIITJEE prepare for RMO and NSEJS?

Swapnil Das - 5 years, 12 months ago

It makes U prepare for NSEJS but only a little for RMO.

Rajdeep Dhingra - 5 years, 12 months ago

Then I should join FIITJEE next year itself!

Swapnil Das - 5 years, 12 months ago

@Satyajit Mohanty Namaskar , Kemiti Accha?

Swapnil Das - 5 years, 11 months ago

Bhala Achi :D Odia re katha hele non-Odia loka bujhi paribeni :P

Satyajit Mohanty - 5 years, 11 months ago

Na bujhantu , aamar kana jauchi! Aapanankar Ganit kete badhiya! Aapana Rmo re qualify karithile ki?

Swapnil Das - 5 years, 11 months ago

@Swapnil Das – Yeah! In 2013. I was the State Topper Even. I was studying in Rajasthan back then.

Satyajit Mohanty - 5 years, 11 months ago

@Satyajit Mohanty – Oh, so nice to talk to a mathematical prodigy! Can you please advise me for RMO?

@Satyajit Mohanty

Swapnil Das - 5 years, 11 months ago

@Swapnil Das – RMO is very elementary... If you're able to solve Level 4 problems here in Brilliant in Number Theory, Algebra, Geometry, Combinatorics, you'll top RMO :)

Satyajit Mohanty - 5 years, 11 months ago

@Satyajit Mohanty – Oh! Thanks for your advice!

Swapnil Das - 5 years, 11 months ago

@Satyajit Mohanty – sata re?? kintu mu ta karipareni!! hardly 2-3 solved if i'm lucky.... i've 5 in all u mentioned...still find rmo problems difficult

Sarthak Rath - 5 years, 8 months ago

Please do post solutions for my Set- Just for Fun!. I love your solutions!

Khang Nguyen Thanh

Swapnil Das - 5 years, 10 months ago

@Khang Nguyen Thanh

Rajdeep Dhingra - 5 years, 9 months ago

Why dont you come on fb?

Dev Sharma - 5 years, 8 months ago

I usually avoid social distraction and adore isolation with mathematics.

Swapnil Das - 5 years, 5 months ago

Are you Swapnil or Swaplin? Or wait........ Are you Einstein?

All I know is that you are a high profile physicist. :3

Nihar Mahajan - 5 years, 6 months ago

@Joy Patel Instant action, isn't it?

Swapnil Das - 5 years, 5 months ago

How to dethrone a complex cube root of unity from its complexity? This is a stupid short puzzle type made by me.

Nihar Mahajan - 5 years, 5 months ago

by cubing it??

Dev Sharma - 5 years, 5 months ago

Correct. :P

Nihar Mahajan - 5 years, 5 months ago

@Nihar Mahajan – what would happen if we multiply it to zero? would it die!?

Dev Sharma - 5 years, 5 months ago

@Dev Sharma – Yes and then @Swapnil Das will arrange its funeral :)

Nihar Mahajan - 5 years, 5 months ago

@Nihar Mahajan – Lol, but you have to promise to pay the expenses :P

Swapnil Das - 5 years, 5 months ago

You are a genius!!

Parth Lohomi - 6 years, 1 month ago

This is the comment you listen from day to night!

Swapnil Das - 6 years, 1 month ago

The most genuine question to start: Do you like Carrots? :P

Nihar Mahajan - 6 years, 1 month ago

Well...., Yes!

Swapnil Das - 6 years, 1 month ago

But not too much han! ( No scope to call me a rabbit!)

Swapnil Das - 6 years, 1 month ago

Cheers! XD

Mehul Arora - 6 years, 1 month ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$