Problem Writing Party: March 14 - March 27th - Andrew Ellinor

This party is now over. Thanks for your contributions. You can see what we chose by joining the next party!

Greetings Problem Partiers!

Problem Writing Party number four went splendidly! Even though only three community quizzes were made, we are so close to creating a handful of others. With that in mind, we'll be recycling some of the topics from previous problem writing parties. A special thanks to Zeeshan, Jonas, Hobart, Svatejas, Nihar, Toto, Rohith, Deepanshu, Lakshya, ZK, Chung, Anish, Rishabh, Brandon, Margaret, Neelesh, Akhil, Manmeswar, Arjen, Lee, Kerry, Sridhar, Kunal, Hjalmar, Soumava, Worranat, Pranshu, Mehul, and Samarth for all your contributions!

Here are the 3 quizzes that you all helped create:

New Brilliant Challenge Quizzes

Floor and Ceiling Functions: Level 3

3D Coordinate Geometry: Level 3

Introduction to Recursion: Level 2

We'll be showcasing these quizzes all over social media in the coming weeks because these problems truly are impressive. Okay, announcements over. Let's kick off the fifth Problem Writing Party!

How it Works

The party starts right now (March 14th, 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 to 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

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My contribution to this party, Algebra-Functions:

Composition of two invertible functions

Domain of inverse of composition

A function in two variables

Just invert the function

Kazem Sepehrinia - 4 years, 11 months ago

Great problems! I liked third one the most. Thanks :)

Sandeep Bhardwaj - 4 years, 11 months ago

Thank you Sandeep :)

Here's my entry for the party.

Topic functions: functions and more functions

Another problem(might be off topic): perfect square in polynomial form

neelesh vij - 4 years, 11 months ago

Thanks for your submissions Neelesh! They look like a good start, but let me give you some feedback. When you visit the topic list for this party, note that functions is listed under algebra. So as awesome as it is, the problem you posted for functions requires calculus and might be useful for a later party.

As for the second problem you submitted, it doesn't happen to fit any of the topics we listed. :P

Keep it up though! I like both of these problems and had fun solving them.

Andrew Ellinor - 4 years, 11 months ago

sorry for wrong submission! i'll keep it in mind and soon put up some problems

I Will Post some cool coordinate and SHM Problems By Tomorrow

Prakhar Bindal - 4 years, 11 months ago

This is my entry for the co-ordinate part - Lets Draw the figure , Circle or Vieta's

Aditya Narayan Sharma - 4 years, 11 months ago

I guess the coordinate part is 3-dimensional coordinate geometry. Anyways, nice problems. Looking for more problems from the topics listed. Thanks! :)

Thanks sandeep sir ! I am working on the functions

My entries :

Relative SHM...coming soon

Kishore S. Shenoy - 4 years, 11 months ago

The "Chain Reaction 1!" and "Chain Reaction 2!" initially gave me a feeling of chemistry. LOL! By the way great problems esp the SHM problems. Thanks! :)

Your welcome! :)

Algebra $\rightarrow$ Functions $\rightarrow$ Domain of 'fog'

Algebra $\rightarrow$ Functions $\rightarrow$ Let's get rid of Radicals

Algebra $\rightarrow$ Functions $\rightarrow$ Which type of function is it? (I)

Algebra $\rightarrow$ Functions $\rightarrow$ Restrictions on Domain

Algebra $\rightarrow$ Functions $\rightarrow$ Cute Function

Zeeshan Ali - 4 years, 11 months ago

What a cool set of problems! This is really a wonderful contribution. Thanks! :)

$\text{You will enjoy solving these problems, believe me..}$

Computer Science $\rightarrow$ Types and Data Structures $\rightarrow$ Graphs $\rightarrow$ Can you count edges ?

Computer Science $\rightarrow$ Types and Data Structures $\rightarrow$ Graphs $\rightarrow$ Identify the graph

Computer Science $\rightarrow$ Types and Data Structures $\rightarrow$ Graphs $\rightarrow$ Identify the Adjacency List

I guess believing you is worth. Thanks for the awesome problems. :)

My new problem on Geometry-Coordinate Plane has come: The Tale of Two Trigones.

Can you find the area of the two? ;)

Worranat Pakornrat - 4 years, 11 months ago

Here's some of my function problems:

Function Challenge 2!

Function Challenge 3!

Function Challenge 4 (Inverse functions)

Function Challenge 5 (Function graphs)

Kenneth Tan - 4 years, 11 months ago

My entries

Functional equation I

Functional equation II

Functional equation III

Félix de Montemar - 4 years, 11 months ago

Nice set of questions ;)

展豪張 - 4 years, 11 months ago

Welcome to my mysterious function problem: The Hidden Function.

Can you work out what $f(x)$ is? ;)

Here are my new entry on Geometry-Coordinate Plane: 1, 2, 3, 4, 5....

& Algebra-Functions: Fibonacci Reversed.

Have fun with the new party!

Hey Dr. Warm! The Fibonacci Reversed question was kinda fun and I think it will go well in a level 2-3 quiz on functions.

The point-to-line distance formula is slightly overused though, so maybe there are some problems that are a little more fun. ;)

For instance, this problem uses the point-to-line distance but in an intriguing way: https://brilliant.org/problems/coupled-lines and this problem also stretches the brain a little bit: https://brilliant.org/problems/possible-right-triangles :)

Thanks, Andrew. I'll surely come up with more challenging lines & points. ;)

My new challenging question on Geometry-Coordinate Plane has come: Bending a Triangle.

Can you bend this triangle? ;)

Now THAT'S the kind of fun challenging coordgeo problem I've been looking for. Thanks!

Thanks! More will come. ;)

Here's mine: Andlew's phuncsion .

EDIT: This too :) Andlew's phuncsion 2

Nihar Mahajan - 4 years, 11 months ago

Nice work on the accent tho.

Mehul Arora - 4 years, 11 months ago

Thanks Nihar!

Here are my submissions for SHM

A tunnel so long

Easy SHM

Here is for coordinate geometry (Locus problem)

Conic problem

@Andrew Ellinor

Sir, where should i publish

Ashish Menon - 4 years, 11 months ago

Create your problems, post them and put a link here.

Thanks

Here is my entry for Coordinate Geometry:

https://brilliant.org/problems/a-problem-by-soumava-pal-3/?ref_id=1147246

Soumava Pal - 4 years, 11 months ago

Thanks @Soumava Pal for your contribution!

@Sandeep Bhardwaj Sorry sir, I could not give more problems because my class XII board examinations were going on. Looking forward to the next problem writing party. I will be back with more problems.

@Soumava Pal – Don't worry, even your one contribution helps a lot :)

@Nihar Mahajan – @Nihar Mahajan
Thank you for that. Though I am not too good in coordinate, and the property I used in this problem is one of the very few that I know. XD

@Soumava Pal – Never mind! I am aware that most of the guys were have exams in the time period of this party. And I know that the next party will be the best party as yet. :)

I hope that you did great with your exams.

@Sandeep Bhardwaj – Yes, everything went good, except physics. Got a bit short on time. :P Yes the next party is gonna be fun because everyone is gonna be active after these exams.

Calculus of parametric eqns.

I wish the car stayed still...

Hobart Pao - 4 years, 11 months ago

Fun problem, liked it very much. Thanks!

Here's mine

Cool 3-D problem

3-D Coordinate geometry

One more 3-D problem

Angle in 3-D

Akshay Sharma - 4 years, 11 months ago

Here's my entry, since functions are the only thing i know from the choices:

Functions: Annual Growth

It might be kind of easy.

For my second functions entry, here's The Donut Upsurge.

And for my third functions entry, here's A Sluggish Download

I'm not sure if this can classify as Algebra or Number Thoery, but functions can be applied to it so... Just enjoy The Summation Secret

And for my data representation entry: Dessert Survey

Gian Tuazon - 4 years, 11 months ago

Wowww! Thanks for your amazing contribution. :) @Gian Tuazon

Here you go for Functions:- Squares R.I.P . And thanks for the mention c:

Kunal Verma - 4 years, 11 months ago

Nice problem, thanks!

Here's one The mysterious point And another Think you know the ellipse? Think again Both are coordinate geometry.

Deeparaj Bhat - 4 years, 11 months ago

Great ones, thanks!

Here's my entry for the party:
Functions...(functions)

Another entry:
Coordinate Geometry

Another entry:
Functional Equation(functions)

Thanks for all of your cool problems. :)

Thanks for trying all of them :)

Here's mine for Functions

Who developed the mod function?

Mayank Singh - 4 years, 11 months ago

My contribution to capacitors section.

Rohit Ner - 4 years, 11 months ago

Thanks Rohit for the contribution on capacitors!

This is my contribution to the party: Its a problem for capacitors quiz.

A really small change

Adwait Godbole - 4 years, 11 months ago

Thanks! :)

My second problem contribution: For the SHM quiz (maybe its a tad bit difficult):

'2. Wobbly ellipse

Thanks @Adwait Godbole for your contribution!

BTW you have got a wonderful name. :)

Here is an old problem of mine in functions : Here .

Anish Harsha - 4 years, 11 months ago

Thanks Anish!

My Contribution is : One sided limits

Yash Khatri - 4 years, 11 months ago

I guess you provided the wrong link. Can you please look for that? Thanks!

Just got a very simple function question for beginners. inspiration never stops

Margaret Zheng - 4 years, 11 months ago

Just type the name you want to link within [] brackets, then paste the url in ()brakets. :-)

Thank you so much!:D

@Margaret Zheng – Welcome, it was my pleasure

Wonderful problem with the coolest name. Thanks :)

Thanks for the compliment!

Here is something for Functions

Hjalmar Orellana Soto - 4 years, 11 months ago

Played nicely with square root and modulus. Thanks for the nice problem. :)

Sorry for being late and for the original problems but Civil Engineering department give me little time to live my life. Anyway hee is my entries . For floor function floor square sum For SHM SHM problem For Waves Waves problem

Refaat M. Sayed - 4 years, 11 months ago

LOL, your department is so strict. They should give you, at least, one life to live. Thanks for the great problems that you managed to contribute even being tight scheduled. Thanks! :)

Thanks Sandeep :)

This is my new one on Calculus-Parametric Equation: Dorothy's Flying!.

Enjoy! ;)

Great one!

Thanks! ;)

Here is my submission on functions.

A Former Brilliant Member - 4 years, 11 months ago

One more original contribution: Andrew did not provide enough information!

Thanks Nihar! Andrew is enjoying the names of your problems. ;)

My latest question on Geometry-Coordinate Plane: Cut Through the Circle.

Hope it's not too late. ;)

Great, thanks! And it's not too late ;)

Two new problems:
Capacitors - Pulling apart a capacitor
Coordinate plane - Oblique Coordinates

Two old problems, updated with improved wording and solutions:
Calculus of Parametric equations - Area, Arc length

Pranshu Gaba - 4 years, 11 months ago

Thanks Pranshu! :)

Demented Derivatives

Hello @Andrew Ellinor here is my submission .....

However, it is not a problem from the Party Listing topics, good problem though. Please check the topic listing for the party before submitting the problems for the party. Thanks!

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}`	$\boxed{123}$