Hello all, I have decided to create a message board like many others. Unload any and all questions you may have for me here. I will answer everything that I can. If you need help or want to know anything about me, post it here!

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

A: I absolutely love carrots. There was once a time when I was at my friends house and because I didn't like the food very much, I didn't really eat (I am a very picky eater). So I was hungry that night, and I snuck out to the kitchen looking for something to eat. And lo and behold, there was a huge bag of carrots. (I ate it all)

B: what's up with brilliant and bunnies? Like, on Facebook profile pictures, and brilliant pictures, there are a lot of bunnies.

The golfer in your really pretty picture is at the bottom left of this aerial shot of the Hualalai Gof Course in the main island of Hawaii here. You can see a triplet of putting greens, and the golfer is at the leftmost one, while the shot was taken from the one just to the right of it. In your photograph, the road is ahead at center, dividing the beach from the lake, and it leads to the Hualalai Four Seasons resort. The big mountain in the distance, on the right, is Mauna Kea, somewhat obscured by clouds.

I like figuring out where a photograph has been shot. This has been a fun exercise. Do you golf, or you just like pretty panoramas of Hawaii?

Wow, that is unbelievable how you found that. And just a cool fact, but Charles Schwab has a multi-million dollar house there. I am a golfer and I do live on the island of Oahu in Hawaii. In fact, the golfer pictured in the above photograph above is of me on an outer island trip to the Big Island (AKA Hawaii). Ikr, so spoiled to live in Hawaii XD.

PS. The "putting greens" are actually tee boxes. Just a small correction :P.

Ah, well, what do I know about golfing. "Tee boxes"? What is that? But, yeah, you're so spoiled to live in Hawaii. I've been there once a while ago, very beautiful!

Calvin, ever since high definition satellite photos became available with Google Earth, it's sort of become a fun thing to do for me. I was actually once asked to identify a luxury hotel "somewhere in Egypt", and all I had were pictures of the hotel's swimming pool. I eventually located exactly where it was between Alexandria and Maryut Lake. When I first saw Trevor's hauntingly beautiful photograph, I thought maybe Pebble Beach? Then I saw the lava rock---and how many places in the world have luxury golf courses next to the beach and dark lava rock? So I Google-Earthed Hawaii, scanning along the coastline until I had a "far background skyline" that roughly matched the mountains that you see in Trevor's photograph, and became obvious to me that Mauna Kea was that mountain to the right. Then I looked more closely along the coastline for about a hundred miles (surprisingly, this takes very little time) looking for a place where there'd be 1) a nice sandy beach 2) a lake or lagoon next to it, and 3) a golf course. More details in Trevor's photograph indicated planned development in the rear (of course I expanded his photograph to see better detail), so I eventually hit the Hualalai Four Seasons resort, and a bit more close up Google Earth work showed exactly where the golfer had to be and from where it was shot. Luckily, in the Hualalai Four Seasons resort web page, they had promotional photographs, and that's where I got the aerial shot. It just looked nicer than what can be captured from Google Earth.

I used to love that game. I had Ruby Saphire, Diamond, and Emerald +1 for the wii. But I don't really play anymore. Now I play TF2 mainly and some flappy bird (lol jk, I don't).

As you're one of the authors of this wiki and I don't like to mess with works of others, it'd be great if you could check Example 2 and either modify the wording of the problem or change the solution.

For $g:[0,\infty)\mapsto \mathbb{R}$, $g$ is not invertible, i.e., it has no inverse because $g$ isn't surjective (onto).

I think the question should be rephrased to $g:[0,\infty)\mapsto [0,\infty)$. Then, the solution needn't be changed.

I can't believe I wasn't able to solve this.
A person picked up 13 cards from 52 cards. Find Probability that he has no ace , Probability that he has exactly one ace ?
Please solve this $\ddot\smile$

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:

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in`\(`

...`\)`

or`\[`

...`\]`

to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestDo you like carrots?

Log in to reply

A: I absolutely love carrots. There was once a time when I was at my friends house and because I didn't like the food very much, I didn't really eat (I am a very picky eater). So I was hungry that night, and I snuck out to the kitchen looking for something to eat. And lo and behold, there was a huge bag of carrots. (I ate it all)

B: what's up with brilliant and bunnies? Like, on Facebook profile pictures, and brilliant pictures, there are a lot of bunnies.

Log in to reply

Wow, you got so many replies in your messageboard!

Log in to reply

Hualalai Golf Course

The golfer in your really pretty picture is at the bottom left of this aerial shot of the Hualalai Gof Course in the main island of Hawaii here. You can see a triplet of putting greens, and the golfer is at the leftmost one, while the shot was taken from the one just to the right of it. In your photograph, the road is ahead at center, dividing the beach from the lake, and it leads to the Hualalai Four Seasons resort. The big mountain in the distance, on the right, is Mauna Kea, somewhat obscured by clouds.

I like figuring out where a photograph has been shot. This has been a fun exercise. Do you golf, or you just like pretty panoramas of Hawaii?

Log in to reply

Wow, that is unbelievable how you found that. And just a cool fact, but Charles Schwab has a multi-million dollar house there. I am a golfer and I do live on the island of Oahu in Hawaii. In fact, the golfer pictured in the above photograph above is of me on an outer island trip to the Big Island (AKA Hawaii). Ikr, so spoiled to live in Hawaii XD.

PS. The "putting greens" are actually tee boxes. Just a small correction :P.

Log in to reply

Ah, well, what do I know about golfing. "Tee boxes"? What is that? But, yeah, you're so spoiled to live in Hawaii. I've been there once a while ago, very beautiful!

Log in to reply

That is really interesting! For a moment, I was trying to find the person in the image, and then I read your post again.

How did you figure that out? What was your thought process? What resources did you use?

Log in to reply

Calvin, ever since high definition satellite photos became available with Google Earth, it's sort of become a fun thing to do for me. I was actually once asked to identify a luxury hotel "somewhere in Egypt", and all I had were pictures of the hotel's swimming pool. I eventually located exactly where it was between Alexandria and Maryut Lake. When I first saw Trevor's hauntingly beautiful photograph, I thought maybe Pebble Beach? Then I saw the lava rock---and how many places in the world have luxury golf courses next to the beach and dark lava rock? So I Google-Earthed Hawaii, scanning along the coastline until I had a "far background skyline" that roughly matched the mountains that you see in Trevor's photograph, and became obvious to me that Mauna Kea was that mountain to the right. Then I looked more closely along the coastline for about a hundred miles (surprisingly, this takes very little time) looking for a place where there'd be 1) a nice sandy beach 2) a lake or lagoon next to it, and 3) a golf course. More details in Trevor's photograph indicated planned development in the rear (of course I expanded his photograph to see better detail), so I eventually hit the Hualalai Four Seasons resort, and a bit more close up Google Earth work showed exactly where the golfer had to be and from where it was shot. Luckily, in the Hualalai Four Seasons resort web page, they had promotional photographs, and that's where I got the aerial shot. It just looked nicer than what can be captured from Google Earth.

This is the actual Google Earth shot Kona Golf

Log in to reply

Log in to reply

Log in to reply

Do you play Pokémon? If not, what games do you play?

Log in to reply

I used to love that game. I had Ruby Saphire, Diamond, and Emerald +1 for the wii. But I don't really play anymore. Now I play TF2 mainly and some flappy bird (lol jk, I don't).

Log in to reply

Cool! Same, I rarely play it, only to beat my friends >:D

At least you play quite often :C

Log in to reply

How much time do you spend on BRILLIANT everyday?

Log in to reply

Do you get time to be on facebook?

Log in to reply

Every so often. But I spend more time on Instagram and some on steam.

Log in to reply

@Trevor Arashiro Can you help me proving this question!!?

Log in to reply

Check tis out!

Please participate and reshare.

Log in to reply

As you're one of the authors of this wiki and I don't like to mess with works of others, it'd be great if you could check Example 2 and either modify the wording of the problem or change the solution.

For $g:[0,\infty)\mapsto \mathbb{R}$, $g$ is not invertible, i.e., it has no inverse because $g$ isn't surjective (onto).

I think the question should be rephrased to $g:[0,\infty)\mapsto [0,\infty)$. Then, the solution needn't be changed.

Log in to reply

Done! Thanks for reporting.

Log in to reply

Mention not. :)

Log in to reply

I can't believe I wasn't able to solve this.

A person picked up 13 cards from 52 cards. Find Probability that he has no ace , Probability that he has exactly one ace ?

Please solve this $\ddot\smile$

Log in to reply

Three questions:

Are you curious? What drives your mathematical curiousity? How do you like to see mathematics? A scientific discipline or rather a romantic art?

Log in to reply

Hi :)

Log in to reply

What's your fav game?

Log in to reply

TF2 by pretty far. It's the only game that I play as of right now.

Log in to reply

THIS MESSAGE BOARD WAS FOR QUESTIONS ?????

LMFAO

Log in to reply