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That is true. Maybe it is because you can gulp it down better from the carton. A glass is too civilized. Too polite, it does not fit the experience.
But this doesn't happen with other products, for example ordinary milk, I much rather drink it from a porcelain than glass or cartoon.
Why is it?
Same with tea, for example.
It's odd how we actually get to like what other teach us?
With the same logic, if I was taught to dislike something as brocolli, which I was, I would dislike it.
I actually never thought about how this can change us as people when we get older...
Yes, that is my motto also, when I think about it. Only I have replaced the chocolate with chocolate milk.
Chocolate milk is delicious! It's like chocolate, but like milky and fluid like.
In the end, it always tastes the best after you've eaten a bread with something buttery on it!
For some reason chocolate milk tastes better when you're drinking it out of cartoon and not the glass.
Odd?
You are right. My statement is rather vague as to the causality. One of the symptoms clearly pointed to the bunny. I should not have eaten it all at once.
So the moral is this: Eat the chocolate in moderation this way you can eat more?
My moral is: Eat chocolate until you eventually run out of it.
Sounds good to me ^^
I knew it!
That's a shame...
Bunnies assaulting people, I guess this is the 21st century.
Were you ill because of the bunny, chocolate or was it just a coincidence?
Well to tell you the truth, chess is way more violent and demanding then football. I see that you love your hobby. Maybe someday they will become your profession.
Well maybe! You never know what could happen in the future.
At the moment I am very satisfied with my plan of a chocolate factory.
Well to be honest I do almost all 3 activities on the daily basis.
Very good!
It's basicly a hobby to me!
Just like some play football I play chess.
Sure you can't compare the two, but I still find each one a enjoyable hobby.
Well I'll be honest, programming isn't my 'thing', I just don't see myself typing the code for a few hours a day.
For me, it isn't about doing something for fun, or for money, it's about doing something for myself, for knowledge!
And I usually end up having fun, so it's a win-win situation.
The good thing is, I am never bored ^^.
That will change with more practice. And even if it only improves slightly you are aware of it. That is the first step. Look for what you missed and you will find it.
There are three endeavors that demand thoroughness, poker, chess and programming. The fact that you overlook things is common, everbody does. That is why I said read it again.
Anyway you had fun, did you not?
Well to be honest I do almost all 3 activities on the daily basis.
And I always have fun when I have to think, it gives me a meaning in life, to think about something and learn something new while doing it!
It's always awesome to solve problems!
Or at least try until you eventually start looking up for clues .
Hi;
Remember before ever solving a word problem of any type: Read the problem, again and again. Then read it one more time. Copy every relevant piece of information onto paper.
I have indeed made too many mistakes because of my non-reading abilities, even when I read it 20 times I still can't understand it any other way than I see it the first time, but maybe that's just me.
Hi;
Did you read the comments after the video? They will provide you with a clue!
I edited my previous post, I got it after thinking about it!
And reading a bit of comments, they gave me a clue.
Thank you again!
Would you care to explain the logic behind your great mind?
I see you have not been paying attention and have not been reading all my stuff. I hope you are being sarcastic.
I wonder how many moderators got it right?
I guess programmers have a built in edge here.
The statement is an if then statement.
If D then 3
Of course we must turn over the D. If it does not have a 3 on the side then the statement is false.
The statement does not say that only a D has a 3 on the other side. K could have a 3 on the other side too. We do not know. Turning over the 3 provides us with no new information.
Yes, I was being a bit sarcastic, and I do not follow you completely, 30.000 posts are quite a handfull.
Well I explained it to myself like this:
The statement:'Every card with a D on one side has a 3 on the other.'
First, D is necessary, it is the first condition you have to check.
Checking the 3, I agree, it doesn't give us any new information.
But there could be a 3 behind the K, and a D behind the 7, so it would only make sense that you could turn over any of these cards? And you can't be sure there's no 3 behind the K if you turn around the 7?
EDIT: I thought about it, and it does make sense!
He implied at the start that each card has a number and a letter, so checking the K is not relevant as even if there is a 3 on the other side you don't prove the statement is correct.
It is a one way statement, starting with D.
Makes sense now, after thinking about it!
Thank you kindly!
Hi;
Great video! I do not know about his answer but the allure of being smarter than 57% of all mathematicians is too strong. I am picking 2 cards, D and 7!
That is correct!
Would you care to explain the logic behind your great mind?
I must also thank you for the help the last day, it helped us immensely!
Regards!
And, I have another problem...
I was watching this video:
http://www.youtube.com/watch?v=VoGSkYLA … ideo_title
And there is something that doesn't go in my mind.
I do agree you have to turn only 2 cards, but I think you should turn the cards D and 3, and not D and 7.
It makes sense, that there is no reason to pick D and 3, as if 3 has a D behind it the statement could still be either false or true.
The statement was:' Every card with a D on one side has a 3 on the other.'
But I question myself, how do you know, without turning all 4 of the cards, you can't know what's on the other side unless you check it.
Someone wiser than me, care to explain?
Best regards!
hi SmellyMan
The trick is to find a way of only counting each hole once.
So I've assigned holes to squares. My latest diagram is colour coded to show which hole belongs to which square. I hope you can see all the different colours here.
You should be able to see that every hole has a colour. None are left out and because you cannot give a hole more than one colour, that means no hole is counted twice. I knew what rule I wanted but had a lot of trouble putting it into words. While you were out at the bakers, I had several edit attempts and it sounds like I still haven't made it clear.
But, a picture speaks a thousand words. That should make it clear why it is 4 holes per square. Any others on the border of that square belong to another square and are coloured for that.
Bob
Oh I see, so you take 4 points, so you can cover ALL of the surface area?
hi
If you've gotta have bread, then that's cool. Eat it while it's fresh.
The problem with holes on the border of two or more squares means that, at 9 per square I'm counting some more than once. The actual number per square is less than that.
Say a hole is "in a square" only if it is either (i) in it and not on a border, or (ii) if it is on the left hand border but not on the left border of the square above, or (iii) if it is on the bottom border but not on the bottom border of the next right square.
That way every hole is assigned to one square only. Out of the original 9, two are along the top border so they belong to the square above; two more are along the right border and so belong to the square on the right; and one is in the top right corner and so belongs to the square diagonally up and right from the first square.
Only four holes are really "in the square" so we should say it is 4 holes per square cm. Change the calc. to
which I make a little over 6 000.
Bob
Well, I'm back, and as easy as it seems, I didn't understand any of it.
But the problem here is, I actually measured that information by my own hands. Care to explain?
EDIT: I see what you tried to show me there, but I simply can't see how 4 dots are in a square centimeter?
Or maybe the edge dots don't belong in the same square?
Yes< I've just got to that bit.
I had pictured like below.
I'll need to re-calculate. Hang on a mo.
Bob
Oh you, oh you...
But that would work too, I don't see the reason why not
EDIT: I'll need to run out into the bakery, I forgot we were out of bread, don't hate me if I don't reply anything for the next 20 minutes or so!
First I calculated the surface area and the diameter, after that I imagined the ball was actually a spread out rectangle!
Do you mean "circumference and diameter" ? Making it into a rectangle is tricky because of the curvature. The formula I used is exact for the surface area as it is derived using calculus.
I haven't actually plugged in the figures for a value yet ..... waits a while ....... I get 13 685 rounded to the nearest whole number. But, due to the formerly mentioned factors, I would round that some more and I'd probably say over 13 000 holes.
Bob
Yes, I did mean circumference and diamater, sorry for that.
But still, you're overlooking the fact that dots appear only on 9 per every square centimetre, and that they are evenly spaced out.
hi again,
I guess I'd work out the surface area in square cm and times by 9.
How does that seem?
Bob
Well let me tell you how I tried to solve the problem, without numbers.
First I calculated the surface area and the diameter, after that I imagined the ball was actually a spread out rectangle!
And by the surface I had put down, I would simply see how long it is, by the diameter I got beforehand and after that just simply multiplay the X axis with an Y axis to get the number of dots!
EDIT: Also, as far as I see it, you calculated how many dots would actually come onto the whole surface, without any space in between them.
The dots were like this:
http://imageshack.us/photo/my-images/266/unledvk.png/
This ofcourse isn't very accurate, but I don't need an exact result at all, just to actually see how many holes there actually are on the friggin ball .
hi SmellyMan
Answer in preparation if you are able to stay on-line a while.
Bob
I am actually trying to solve it right now, and just got stuck at some point!
I am more than willing to wait.
Well, didn't check out these forums for quite a while now, I am coming in with another interesting problem I had.
So, my gym teacher got a new volleyball ball, and the ball has holes in it, probably for better grip.
So he, as the joker he is, said, how many holes are there in they volleyball?
So I looked up some information, and have no idea how to solve this problem:
r=11cm
There are 9 dots per square centimetre
This is all I know, I presume some more information can be given, but I'm trying to figure it out, the numbers I get don't seem reliable as they don't follow the logic.
Using some unknown methods to man, the first result I got was around 1600, the second was around 4000.
Could anyone care to explain this? The idea behind it seems interesting and I really want to answer my gym teacher, just to make him go 'WOW'.
Best regards!
Do not eat up the profits. That chocolate is a killer.
Hehe.
Anyway, thank you for everything today! You deserve a golden cupcake award for the best forum companion.
I have a big day coming up, I'll get some rest now, thank you again!
Good night!
I am afraid that never goes away. But if you understand that, I mean deeply, then you will never set unrealistic goals for yourself. You will know that improvement takes time. Lots of time!
Well my original plan is to establish a chocolate factory!
And go on from there ^.^
Very good! Idle hands are the devils workshop. An old Italian proverb!
I must admit I do get lazy quite often though, probably putting a lot of unnecessary work on my hands . Just by stockpiling thing, but I never learn, why are humans like that?
You know you're doing something badly, and you know you should improve, but you don't, what's up with that?!
One day you will settle down on one thing. You will focus on it. Hopefully the education you have received has not done you any permanent damage. At that time you will restructure your mind. Maybe it will be mathematics, maybe not. What you will find is that whatever training you have received will in no way prepare you for your job.
Future is the future, I live in the moment, and now, I am busybusybusybusy .
Somewhat, if 25 of them come out of a course all 25 of them solve ever problem in the same way. Stump one you stump them all. There is a famous story by Richard Feynman along these lines.
The only way I could see this working is if I took more time to actually study all of the possible ways, or at least the more sensible ones, but the truth is, with all other classes I have I simply don't have the time to focus just on the math alone, and the knowledge teachers teach us is very limited.
Ofcourse, I'm a curious person, always trying to learn more, but it eventually gets to the point where I have to sit down, study for a few hours and not even realise I have 15 other subjects to learn, it's just too much at times.
Most math instruction quickly teaches the student the folly of treating math as an experimental science. They discourage numerical experimentation, the kind bob bundy is recommending. Students quickly come to believe that mathematics has nothing to do with arithmetic.
You will see if you have not already, olympiad level problem solvers who do not know how to plug in to test. They post complicated inequalities that are false. The concept of a counter example is unknown to them.
If I have survived against their superior talent it is only due to the fact that I can plug in, they can not. Sound farfetched?
If I understood you right, people are taught too exact about maths and are not left out on their own to experiment all possible ways to solve a problem?