Do the Math

[quote]Bujo wrote:
.[/quote]

That is awesome. I can’t believe I’ve not seen that puzzle before. That’s what happens when you’re raised in an era of boring math teaching.

I actually use my old calculus books quite a lot. They make great wedges for holding open doors or propping up windows.

DB

[quote]Bujo wrote:
How many squares are on a chessboard (8 x 8)?
[/quote]

204

[quote]mazevedo wrote:
dennis3k wrote:
Chewie wrote:
mazevedo wrote:
Natural Nate wrote:
So was it worth it?

mazevedo wrote:

And that right there was probably the first and last time I’ve ever used calculus outside the class.

Yes, well, taking calculus is what got me into a great program and start a great career so I can definitely say it was worth it. It still cracks me up that they make these bs requirements cuz you never use the shit.

I use it quite often.

All depends on what you decide to do with your life really, I use it quite a bit

Just curious…what do you guys do with it?

I’m in construction management so I had to know it because I had to take a sequence of 5 engineering courses for statics and strengths of materials. I actually like math but ever since completing that sequence I never had to use it ever again. It would be kinda cool if there was a situation where I needed to do it though.[/quote]

Was an actuary for a couple of years after graduating with an undergrad in engineering…both of which needed math…working as a statistician for the government at the moment, which is pretty boring…hence the fact that I have the time to post on here in the middle of the day

[quote]mazevedo wrote:
dennis3k wrote:
Chewie wrote:
mazevedo wrote:
Natural Nate wrote:
So was it worth it?

mazevedo wrote:

And that right there was probably the first and last time I’ve ever used calculus outside the class.

Yes, well, taking calculus is what got me into a great program and start a great career so I can definitely say it was worth it. It still cracks me up that they make these bs requirements cuz you never use the shit.

I use it quite often.

All depends on what you decide to do with your life really, I use it quite a bit

Just curious…what do you guys do with it?

I’m in construction management so I had to know it because I had to take a sequence of 5 engineering courses for statics and strengths of materials. I actually like math but ever since completing that sequence I never had to use it ever again. It would be kinda cool if there was a situation where I needed to do it though.[/quote]

When I was in grad school, we used differential equations to calculate the buckling capacities of columns. I kept the results and have use them pretty regularly.

Most recently, I used calculus to derive equations for stresses in odd shaped foundations.

One of the methods for finding beam deflections uses calculus.

This is just off the top of my head.

I know Electrical guys use it a lot more than I do.

I spent a summer as an actuarial intern and that was enough to turn me away. No way I could sit in a desk all day every day entering numbers. Had to turn down a pretty good job offer as an actuary when I graduated too.

Now I work for a small company, where I am an engineer, programmer, electrician, or spreadsheet junkie depending on the day. I am also the go to guy for physics or math questions.

I would like to get into something where I am dealing with calculus and probability more, I love solving the problems. There just aren’t many jobs out there where you get to solve problems and not have to do all the monotonous data entry that goes along with it.

[quote]TKL wrote:
math is sweet[/quote]

Fuck that thing.

-dizzle

[quote]mazevedo wrote:

Yes, well, taking calculus is what got me into a great program and start a great career so I can definitely say it was worth it. It still cracks me up that they make these bs requirements cuz you never use the shit.

[/quote]

Screw calc as a useless class, I’m taking a C programming class as a REQUIRED class for pre-med…now that’s worthless.

I thought it was pretty cool to recognizing the concept as a limit, also, so kudos to you, sir.

[quote]dollarbill44 wrote:
Bujo wrote:
.

That is awesome. I can’t believe I’ve not seen that puzzle before. That’s what happens when you’re raised in an era of boring math teaching.

I actually use my old calculus books quite a lot. They make great wedges for holding open doors or propping up windows.

DB[/quote]

Kool. Use it as a party trick. Impress your neighbors. Stump the in-laws with it. I got lots of math riddles like that.

[quote]Ghost22 wrote:
mazevedo wrote:

Yes, well, taking calculus is what got me into a great program and start a great career so I can definitely say it was worth it. It still cracks me up that they make these bs requirements cuz you never use the shit.

Screw calc as a useless class, I’m taking a C programming class as a REQUIRED class for pre-med…now that’s worthless.

I thought it was pretty cool to recognizing the concept as a limit, also, so kudos to you, sir. [/quote]

Nothing shittier than learning C knowing you’ll never use it again. :slight_smile:

[quote]malonetd wrote:
Bujo wrote:
How many squares are on a chessboard (8 x 8)?

204[/quote]

There was supposed to be a pic there but oh well.

1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2 = 204

You are a prisoner in a foreign land, and your fate is to be determined by a game of chance. There are two jars, one with 50 white marbles, and one with 50 black marbles. You are allowed to redistribute the marbles however you wish (e.g. swap a black marble with a white marble, etc.) The only requirement is that after you are done with the redistribution, every marble must be in one of the two jars.

Afterwards, both jars will be shaken up, and you will be blindfolded and presented with one of the jars at random. Then you will pick one marble out of the jar given to you.

If the marble you pull out is white, you live; if black, you die.

How should you redistribute the marbles to maximize the probability that you live?

[quote]Bujo wrote:
You are a prisoner in a foreign land, and your fate is to be determined by a game of chance. There are two jars, one with 50 white marbles, and one with 50 black marbles. You are allowed to redistribute the marbles however you wish (e.g. swap a black marble with a white marble, etc.) The only requirement is that after you are done with the redistribution, every marble must be in one of the two jars.

Afterwards, both jars will be shaken up, and you will be blindfolded and presented with one of the jars at random. Then you will pick one marble out of the jar given to you.

If the marble you pull out is white, you live; if black, you die.

How should you redistribute the marbles to maximize the probability that you live?
[/quote]

Without doing any fancy math, I think I would put one white marble in one jar, and the other 99 marbles in the other.

There’s a 50% chance of a 100% chance that I’ll live, and a 50% chance of a 49.5% chance that I’ll live.

This assumes that my captors are, of course, straight up and would be just as likely to give me the jar w/ one marble in it as the other.

I have no idea if this is correct, it just what I would do given short notice.

[quote]Bujo wrote:
malonetd wrote:
Bujo wrote:
1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2 = 204
[/quote]

I don’t understand why that’s used as the answer.

[quote]tGunslinger wrote:
Bujo wrote:
You are a prisoner in a foreign land, and your fate is to be determined by a game of chance. There are two jars, one with 50 white marbles, and one with 50 black marbles. You are allowed to redistribute the marbles however you wish (e.g. swap a black marble with a white marble, etc.) The only requirement is that after you are done with the redistribution, every marble must be in one of the two jars.

Afterwards, both jars will be shaken up, and you will be blindfolded and presented with one of the jars at random. Then you will pick one marble out of the jar given to you.

If the marble you pull out is white, you live; if black, you die.

How should you redistribute the marbles to maximize the probability that you live?

Without doing any fancy math, I think I would put one white marble in one jar, and the other 99 marbles in the other.

There’s a 50% chance of a 100% chance that I’ll live, and a 50% chance of a 49.5% chance that I’ll live.

This assumes that my captors are, of course, straight up and would be just as likely to give me the jar w/ one marble in it as the other.

I have no idea if this is correct, it just what I would do given short notice.[/quote]

That’s the best answer.

[quote]Agressive Napkin wrote:
Bujo wrote:
malonetd wrote:
Bujo wrote:
1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2 = 204

I don’t understand why that’s used as the answer.[/quote]

Look at a chessboard, you’ll find there are:
8^2=64 1x1 squares
7^2=49 2x2 squares
6^2=36 3x3 squares


1^2=1 8x8 squares

In fact, the pattern for this type of problem is:
n^2 + (n-1)^2 + (n-2)^2 + … + 1^2

where n is the number of rows and columns.

[quote]Bujo wrote:
dollarbill44 wrote:
Bujo wrote:
.

That is awesome. I can’t believe I’ve not seen that puzzle before. That’s what happens when you’re raised in an era of boring math teaching.

I actually use my old calculus books quite a lot. They make great wedges for holding open doors or propping up windows.

DB

Kool. Use it as a party trick. Impress your neighbors. Stump the in-laws with it. I got lots of math riddles like that.[/quote]

Post more!

[quote]Bujo wrote:
tGunslinger wrote:
Bujo wrote:
You are a prisoner in a foreign land, and your fate is to be determined by a game of chance. There are two jars, one with 50 white marbles, and one with 50 black marbles. You are allowed to redistribute the marbles however you wish (e.g. swap a black marble with a white marble, etc.) The only requirement is that after you are done with the redistribution, every marble must be in one of the two jars.

Afterwards, both jars will be shaken up, and you will be blindfolded and presented with one of the jars at random. Then you will pick one marble out of the jar given to you.

If the marble you pull out is white, you live; if black, you die.

How should you redistribute the marbles to maximize the probability that you live?

Without doing any fancy math, I think I would put one white marble in one jar, and the other 99 marbles in the other.

There’s a 50% chance of a 100% chance that I’ll live, and a 50% chance of a 49.5% chance that I’ll live.

This assumes that my captors are, of course, straight up and would be just as likely to give me the jar w/ one marble in it as the other.

I have no idea if this is correct, it just what I would do given short notice.

That’s the best answer. [/quote]

Screw that! Why don’t they just shoot you? I’ve got a gun in my room. I’ll go get it and shoot you myself! I mean, why come up with some elaborate scheme to execute you when we know you will only escape as soon as we turn our backs.

DB

[quote]Agressive Napkin wrote:
Bujo wrote:
malonetd wrote:
Bujo wrote:
1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2 = 204

I don’t understand why that’s used as the answer.[/quote]

Start with the largest square. 8blocks X 8blocks. It uses the entire board leaving no rows unused. So only one 8x8 square

A 7x7 square will leave one row unused. You can count 4 different 7x7 squares.

A 6x6 square will leave two rows unused. You can count 9 different 6x6 squares.

seeing a pattern yet? 1…4…9… or perhaps 1^2…2^2…3^2…

An equation could be written as sum:(rows_unused + 1)^2
Or even sum:(8 - blocks_wide + 1)^2 = sum:(9-blocks_wide)^2

8x8 = (0 + 1)^2
7x7 = (1 + 1)^2

2x2 = (6 + 7)^2
1x1 = (7 + 1)^2

got it?

I want to have safe sex with three women, any of whom may be carrying an STD (I like the classy dames). However, I only have two condoms :frowning:

How do I fuck each one while ensuring that no STD is passed from one woman to another or to myself for that matter?

Another geometry puzzle.

You are in an empty room and you have a transparent glass of water. And I do mean empty. Its you, the glass and the water. That’s it. Nothing Else.

The glass is a right cylinder. It looks like it’s half full, but you’re not sure. How can you accurately figure out whether the glass is half full, more than half full, or less than half full? You have no rulers, no writing utensils, nor any etching tools.

[quote]Bujo wrote:
I want to have safe sex with three women, any of whom may be carrying an STD (I like the classy dames). However, I only have two condoms :frowning:

How do I fuck each one while ensuring that no STD is passed from one woman to another or to myself for that matter?
[/quote]

  1. Put two on at once. Have sex.
  2. Take the top one off. Have sex again.
  3. Flip the top one inside out and put it over the bottom one.

That’s gross.