Problem Writing Party: February 29 - March 13 - Sandeep Bhardwaj

Hello Brilliant!

Brilliant's third Problem Writing Party was a great success as always. Thanks to all the contributions from Rohit, Efren, Sravanth, Agnishom, Hobart, Refaat, Chan Lye, Hjalmar, Pranshu, Manmeswar, Soumava, Racchit, Lakshya, Chinmay, Worranat, Anish, Arjen, Rajdeep, Nihar, Hobart, Jason, Pranshu, Margaret,, Lee, Jason, Vignesh and the countless others of you who helped!

This week, we were able to create a 5 new quizzes. Here are the quizzes that you all helped create:

New Brilliant Challenge Quizzes

Logarithmic Inequalities: Level 3-4

Root Approximation: Level 3-5

Surface Area: Level 1-2

Resistors: Level 1-3

Calculus of Parametric Equations: Level 2-4

As always, we're going to continue showing off the hard work these members of the community put in over the last week, so Brilliant will featuring these quizzes in topic listings and social media. Now that those announcements have been made, we're moving on to our fourth Problem Writing Party!

How it Works

The party starts right now (February 29th, 2016) and will last for the next two weeks. Throughout the two weeks, we will be focusing on writing awesome problems for the topics listed in quizzes that need your help on the publish page.

To join, submit as many problems as you want to these listed topics. At the end of the party, Brilliant staff will be picking the best 5-10 problems for each topic. These problems will then be immortalized and formed into a challenge quiz. If we pick your problem, then you can brag to your friends because it will be displayed on Brilliant forever! Your problem has a better chance of being selected if you include a graphic (when appropriate) and a solution.

Use this note to

Ask questions about the party or brainstorming ideas from Brilliant staff.
Share links to great relevant problems.
Bounce your ideas off each other to help formulate the best problem you can.

To be selected, problems you submit should be fun and challenging to a student in levels 1-3 for the given topic.

-------->This Party's Topic Listing<--------

The topics of problem submission for this party can be found by navigating over to the Brilliant publish page and checking under the quizzes that need your help section. Just click the contribute button next to the topic you want make a submission to.

Happy writing and continue to party on!

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}

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

$\Large \text{The topics for this party can be found in the link below}$

Topics for the problem writing party

Remeber: Your problem has a better chance of being selected if you include a graphic (when appropriate) and a solution.

Andrew Ellinor - 5 years, 3 months ago

And don't forget to use the latex (where appropriate) in the problem and the solution.

Sandeep Bhardwaj - 5 years, 3 months ago

Can I use Daum application to post a problem or to write solution?

Sridhar Sri - 5 years, 3 months ago

@Sridhar Sri – @Sridhar Sri Yes you can, for now. But it would be great if you post the problem/solution into latex and text. If you need any guidance on latex, Daniel's LaTex Guide will help out gently. Thanks!

Waiting for you problems. $\ddot \smile$

the time-keeper :-a problem i made

SHM physical pendulum

Rohith M.Athreya - 5 years, 3 months ago

@Rohith M.Athreya Very nice problem. Thanks for your contribution. Looking for your innovative problems of more topics. :)

Hey there people :)

Here is my set.I will keep adding more problems.

Mehul Arora - 5 years, 3 months ago

Wow! Great, you've created a complete set which is awesome. Thanks a lot! Waiting for new problems to be added to the GREAT SET of yours. $\ddot \smile$

Thank you sir! :D

Just a result of Fiitjee teaching me SHM :P

@Mehul Arora – Great. All the best for your excellence at all the subjects you're studying!

@Sandeep Bhardwaj – Thank you so much sir ! :D

Computer Science $\rightarrow$ Sorts

Zeeshan Ali - 5 years, 3 months ago

I knew I could count on you for some good computer science problems Zeeshan. ;)

This is a great contribution. I loved the problems. Thanks! $\ddot \smile$

Here are some problems on Floor Functions, hope you like it .
This Floor is slippery and I love 333, but this is ... .

Anish Harsha - 5 years, 3 months ago

Nice problems Anish. The first one is yummy. Thanks! @Anish Harsha

You're welcome, sir ! :D

My submission:

Floor and ceiling functions: One, Two, Three

Capacitors: One, Two, Three, Four, Five, Six

Transformers: Step-up or Step-down?, Transformer DC

3D Coordinate Geometry: Three

I will update this comment if I share more problems. This is the set containing all of my problems for this party - Set

Pranshu Gaba - 5 years, 3 months ago

Here's my first one for Geometry-3D Coordinates: Box in the Air.

Hope it's not too easy. ;)

Worranat Pakornrat - 5 years, 3 months ago

Cool problem with a cool name. Thanks Dr. Warm! @Worranat Pakornrat

You're welcome. Surely more will come. ;)

See my problem, Battery Charger on the topic Capacitors and Transformers. :)

Looks great! :)

I would like to contribute this problem I'm Floored for the party

neelesh vij - 5 years, 3 months ago

Nice Problem @neelesh vij Thanks :)

Here are mine: ( I will keep updating)

Great Circles (recursion)

Only 0,1,2,3,4 (recursion)

Is it Algebra at all? (3-D Geometry)

Another recursion problem (recursion)

Fat Subsets (recursion)

Emergency to return (recursion)

Soumava Pal - 5 years, 3 months ago

Cool Problem. Thanks!

@Sandeep Bhardwaj

Thanks

Do check out my problems. :) I added 5 more of them. I will add more after my chemistry exam on the 9th.

@Soumava Pal – Nice problems. @Soumava Pal :)

I like trees

Toto Mub - 5 years, 3 months ago

I posted a problem on recurrence relations a few days ago.

This sounds fun, until you realize your life is at stake

ZK LIn - 5 years, 3 months ago

Wow! This one is a bit too hard for what we're looking for in recurrence relations, but I think you've got a knack for writing some good problems. Got any fun, easy ones tucked away?

Sure, will try to come up with some fun but accessible problems. I will update the post above if I manage to write some nice ones. :)

Here's mine contribution on capacitors

Akhil Bansal - 5 years, 3 months ago

Nice one. It would be great if you post an awesome solution to your problem to get it featured. Thanks! $\ddot \smile$

Here is a problem on recurrence.

A Former Brilliant Member - 5 years, 3 months ago

Nice problem @Svatejas Shivakumar

It would be great if you post an awesome solution to your problem to get it featured. Thanks! $\ddot \smile$

Here are my entries..............

Enjoy Solving!!!

Manmeswar Patnaik - 5 years, 3 months ago

Great problems @Manmeswar Patnaik Thanks $\ddot \smile$

Thanks Sir!!.....Please check out the other entries............ @Sandeep Bhardwaj

Here comes my new one on Combinatorics-Recursion: Fractal Squares.

Hope you'd like it. ;)

I don't see any Computer Science question.!! Hurry up, you computer scientists! :)

Electricity and Magnetism $\rightarrow$ Circuits $\rightarrow$ Resistors $\rightarrow$ Equivalent Resistance $\rightarrow$ FUN :)

@Zeeshan Ali The circuit looks like the first letter of my name. I loved it. Thanks! :)

Another level of question on Combinatorics-Recursion: Fractal Cubes.

This one may be a little crazy. ;)

Why are all of your problems so awesome?

Thanks! Maybe because I got inspired. ;)

This is my fun question on Algebra-Floor & Ceiling Functions: Which day was it?.

And for Combinatorics-Variance: Who's the tallest of them all?.

It's kind of straight forward, but I still like it. ;)

The first problem is really fun to check your patience on calculations ;).

FYI you should use "\left \lfloor ... \right \lfloor" if the expression inside the floor doesn't fit well.

Thanks!

Oh, OK. Probably I was kind of lazy at night. Thanks for your advice. ;)

Here are the questions from my stock on Combinatorics-Introduction to Recursion:

Snip! Snip!

Can you count all these oranges?.

Have fun! ;)

You've got a nice stock. Congratulations!

Thank you. Hope to come up with new ones, too. ;)

What are the topics that we need to put questions?

Rishabh Deep Singh - 5 years, 3 months ago

You can go to the Publish Page to get the topics needed for contribution.

Looking forward to have awesome problem from your side. Thanks! :)

Thanks.

See My Problem Roots Finding

Nice problem @Rishabh Deep Singh

I'm quite glad to see you contributing such wonderful problems. Thanks $\ddot \smile$

Thanks Friend.

My Problem on Oscillations A classical mechanics problem by Rishabh Deep Singh

Again a nice problem!

I have included over 27 mind blowing problems in my set 26 mind turning problems

Rishabh Sood - 5 years, 3 months ago

But do they have anything to do with the topics listed in this problem writing party?

First thing, why are you after my life? 2 thing 50% of the problems are related to the topics, and the last thing I did not consider making a new set for just posting here

@Rishabh Sood – Rishabh, First of all, please be a bit polite. Andrew is staff, and he knows exactly what is good for this wiki writing party. He only wants to make this Community a better place. He is not after your life.

@Mehul Arora – Hmmmmm, ok

@Rishabh Sood – I viewed your set and it has very nice problems. But sorry to say , I can't find a single problem related to the topics in this problem writing party. You might review the topics here and contribute awesome problems which would force Andrew to select!

Nihar Mahajan - 5 years, 3 months ago

@Nihar Mahajan – Ok!, I will do it, but I have my pre-boards and finals so I will come back to brilliant only after that

Here are some problems (I will keep updating this as I post more)

Floor and ceiling functions:

Curve sketching:

Jonas Katona - 5 years, 3 months ago

I knew I could count on you to post a handful Jonas. These look great!

Thank you guys for the support! :)

Nice set! I particularly enjoyed Pixelated Poke Ball, being a huge pokemon fan myself.

Here's my introductory problem for Simple Harmonic Motion(Waves- Doppler Effect) Shake it to my Beats

Kunal Verma - 5 years, 3 months ago

Beautiful! More Simple Harmonic Motion problems would be great if you can think of some fun ones! :)

More coming. These are for floor/ceiling fxns:

Hobart Pao - 5 years, 3 months ago

Now these look like some mind benders! I'm excited for these.

Thanks! :)

@Hobart Pao – I was writing the solution for your last two problems... But then I realised it was very tough to explain in solution and tiring latex work is also required!!

Rishabh Jain - 5 years, 3 months ago

This is my new question of Calculus-Curve Sketching: Rise within Roots.

Enjoy! ;)

All right! Looks good. We could use some great curve-sketching problems.

Thank you. Glad you'd like it. ;)

Here are my problems(I would keep updating):

https://brilliant.org/problems/a-simple-recursion-for-2016-and-2018/?group=NizZDUR4Adun

Samarth Agarwal - 5 years, 3 months ago

Nice problem @Samarth Agarwal

FYI if you want to link a problem, you can do it this way $\to$ [Name of the problem] (link)

I'm linking your problem in this comment. Here it goes: A simple recursion for 2016 and 2018

Excited to see more problems from your side. Let me know if you've any queries. Thanks $\ddot \smile$

Thanx sir for creating a link to my problem, I would try to contribute more but I have exams till 18th March :(

@Samarth Agarwal – Ahh, never mind. Focus on your exams and you can contribute to the further Problem Writing Party. Thanks $\ddot \smile$

All the best for your exams!

@Sandeep Bhardwaj – Thank you Sir.... :)

My question on Capacitance An electricity and magnetism problem by Rishabh Deep Singh

My first question.

The Past, The Present And The Future With Ceilings And Floors

Lee Care Gene - 5 years, 3 months ago

Nice Problem. But the expression needs to be made more clear. In the numerator, does "2015/2016" represents the power of "2015"?

This time my contribution will be poor, but here is something for Floor and Ceiling Functions

Hjalmar Orellana Soto - 5 years, 3 months ago

Here's one for floor and ceiling functions:

Don't Try And Math It

Brandon Monsen - 5 years, 3 months ago

Nice problem @Brandon Monsen

Just posted one! I'll make some edits for coherence but the meat of it is there.

Can I post the questions till 13 March

Deepanshu Dhruw - 5 years, 3 months ago

Yes , of course! Looks like @Andrew Ellinor can definitely count upon your numerous contributions for many topics for this party :)

@Deepanshu Dhruw I see that you post good problems. Excited to see your problems for this party. And yeah you can post the problems till 13 March. I'm waiting. :)

@Sandeep Bhardwaj – Thanks

Electricity and Magnetism $\rightarrow$ Circuits $\rightarrow$ Capacitors and Transformers $\rightarrow$ Never mind

Try my new question Limit It is out of given topics.

Hi Rishabh, this is a great question! Do you think you could post problems that are focused on the topics for this problem writing party?

Ok I will.

Nice ones. These will be great for a quiz. Thanks!

My second question.

Sigma Floors

Is the ground floor left empty for rent?

Maybe XD

I added a few problems in logarithm inequalities. What do you think of them?

When is this logarithm inequality true
Split a log
Many logs inequality

Calculus of parametric equations can be tricky. I might try just parametric equations.

Chung Kevin - 5 years, 3 months ago

I loved all the problems.

It would be great if you post the problems from the topic list of this party which can be seen at the Publish Page.

My contlibusion: Andlew's Dleam

Sorry , I can contribute only one problem this time :(

No problem, Nihar! You can contribute more problems to the following parties.

Night ploblem. ;)

Thyankss!!

You'll definitely enjoy solving the following problems:

Resistors $\rightarrow$ Equivalence of Resistors
Resistors $\rightarrow$ Product of equivalent resistances

@Zeeshan Ali I like the beautiful circuits in your problems. Thanks!

Another new one on Geometry-3D coordinates: Box in the Air (Part 2).

I would like to fit myself diagonally in that box which will be a great exercise. :P

Haha...would you like to be a cat in the box? ;)

@Worranat Pakornrat – No way man! Then I will be stuck forever there if no one comes to help me out. :P How will I use Brilliant then?

@Sandeep Bhardwaj – By using local box network maybe. Lol...

My new Question on Inductor + Capacitor

@Rishabh Deep Singh

Good problem. But it is recommended and it's great that you don't include the text into the latex. Use latex only for mathematical expressions. Can you please make edits to your problem accordingly?

I will do it in my upcoming Questions.

@Rishabh Deep Singh – Great! I will convert this problem into text and latex necessarily. Thanks!

@Rishabh Deep Singh – @Rishabh Deep Singh I've edited the above problem of yours. Can you please check if it's all good?

@Sandeep Bhardwaj – Thanks Sir It is perfect

Here is another problem, for 3D Coordinate Geometry

@Hjalmar Orellana Soto Tangent in three dimensions is coolest. Thanks! :)

This one for starters: Triangle and Line.

Arjen Vreugdenhil - 5 years, 3 months ago

@Arjen Vreugdenhil Yummy starter! :)

@Rohith M.Athreya Great Great Great! Looking for more of your innovative problems for other topics of the Problem Writing Party. :)

sum of some floored,summed series

a problem on floor functions that i made :)

@Rohith M.Athreya – Very nice problem. I've edit this to make the latex clearer, see if that's good?

@Sandeep Bhardwaj – Yeah thanks! looks much more clearer now. :)

My third question.

Sigma Ceilings

@Lee Care Gene Nice building of ceilings. I enjoy your problems a lot. :)

Here's my recursion problem: Vole crossing

This might be too difficult for a quiz, but I think it's a pretty neat problem.

Kerry Soderdahl - 5 years, 3 months ago

@Kerry Soderdahl This problem can be defintely used for some Level 4-5 quiz. Thanks! Looking for more great problems. :)

@Andrew Ellinor I just had another problem created, but I could not format it correctly. Could you please help? the problem means "the floor function of the absolute value of $\frac {2x-3}{4}$ ". What floor is it?

Margaret Zheng - 5 years, 3 months ago

Fixed Margaret! Check out the LaTeX to learn something new. :)

Also, I like this problem so much that it's definitely going into a quiz.

thanks:D

A floor/ceiling problem. I'm going to try to think of some for curve sketching, but so far the only ones I have done before/thought of require you to actually sketch the curves...

Twentieth integral [For this one, I'm aware that it's listed under calc, but it is a floor function problem and doesn't really require calculus other than the geometric concept of an integral]

@Hobart Pao Lovely problem. Yeah, I agree with the point you made. It involves the use of many concepts likely graph of floor function, geometrical interpretation of integral, arithmetic progression sum, finding the roots of a quadratic equation. :P

Thanks for the encouragement @Kunal Verma, @Sandeep Bhardwaj!

Hobart Pao - 5 years, 2 months ago

Cool problem.c:

Kunal Verma - 5 years, 2 months ago

My new problem on Curve Sketching Inspired From Inspiration

You post the problems which are quite helpful specifically for the guys who are preparing for JEE. That's great. Thanks!

Sir i am preparing for JEE-ADV 2016 and my board exams are finished. Now i am Free.

@Rishabh Deep Singh – That's great. Now you can post more problems for the party. ;)

@Sandeep Bhardwaj – I need to prepare for JEE Mains so i need to study for that . Any suggestions?

@Rishabh Deep Singh – You can check out my set: Jee Queries with the Best Solutions. And if you have any specific questions, let me know and I'll help you out.

@Sandeep Bhardwaj – Thanks Sir.

This is my new question on Geometry-3D coordinates: Simple Section.

Enjoyed! ;) It was enjoyable.

Thanks! I enjoyed writing it, too. ;)

a problem on recursions at loggerheads with logarithmic recursions

Great one, thanks!

3D coordinate geometry: It's a bird! It's a plane! It's not superman...

My new one on Algebra-Ceiling & Floor Functions: Hit the ceiling! Hit the floor!.

Please check a question on floors and ceiling click here. Please a mod or staff improve this up. Thanks

Department 8 - 5 years, 3 months ago

It's more likely to be chosen if you give it a solution. ;)

Sorry this is a late entry please improve it

PS:- I don't have solution

Your problem is too general... State what kind of sentence it is! (It looks quadratic, but is it?)

Blank

Zeeshan Ali - 5 years, 2 months 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}`	$\boxed{123}$