Wiki Collaboration Parties - Polynomial Interpolation and Physics Misconceptions - Calvin Lin

Wiki collaboration party

This week, we will be improving:

Wiki page	Polynomial interpolation using Remainder Factor Theorem	Physics common misconceptions
Hosted by	Calvin	Calvin
Supported by	Pi Han	TBD
Current status	Brainstorming	Brainstorming
Target Audience	Algebra Level 3-5	Physics L1-3
Motivation	To understand how this works	To avoid such mistakes
Meeting at	2/27 8:00 am PST, 9:30pm IST	2/28 8:00 am PST, 9:30pm IST
Chatroom	#Mathematics	#Physics

Each meeting will be conducted over Slack chat and will last for approximately 60-90 minutes. We will achieve the following:

(5 mins) Figure out the target audience, and their motivation for reading the page
(20 mins) (Quick review of examples) Discuss what we love / don't love
(15 mins) Ensure we have a complete list of examples
(15 mins) Discuss how to organize various sections of the page
(10 mins) Settle on the final structure of the page
(5 mins) Assign out sections to write over the week

If you have any questions, please comment below!

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

What,s TBD?

Agnishom Chattopadhyay - 5 years, 3 months ago

To be determined. Shall I put your name there?

Calvin Lin Staff - 5 years, 3 months ago

Sorry, I probably won't be able to make it. I've got a test the day after

What is Polynomial Interpolation?

A Former Brilliant Member - 5 years, 3 months ago

Can you find a polynomial of degree exactly 4 that satisfies $f(1) = 1 , f(2) = 2, f(3) = 3, f(4) = 4$ ?

I think its 25 Sir. I'm sorry if I'm wrong.

@A Former Brilliant Member – The question is "Can you find ... ". I'm not sure how to interpret an answer of "25".

The question is answers "What is polynomial interpolation". Namely, it is "Given a series of values at certain points, when can we find a polynomial (with certain restrictions) that attains those values?"

@Calvin Lin – I'm sorry Sir i don't know how to solve that. So how how to find the polynomial degree base on you question given to me.

@A Former Brilliant Member – Check out the wiki page. It's being worked on and should be completed in 2 weeks :) Please provide feedback so that we can improve on it!

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}`	$\boxed{123}$