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1. Substitute the x in g(x) for 7, you'll get - 7 + 8, which equals 1.
2. f(2) = 3 (2) + 7 = 13
+
h(1) = 1^2 + 3 (1) - 1 = 3
13 + 3 = 16
You get the idea ^^.
I think seeing the proofs of formulas always helps a lot, because then when you use the formula you know what you're doing.
Hi Ubergeek;
The problem now becomes that the admiral and the subordinate believe you can a add the probabilities up. It's simple to prove that this is nonsense 4 * 1/3 = 4/3 so 4 missiles gives you a probability of 4/3 of destroying the target? Probablities can not exceed 1 and 4/3 is bigger than 1.
In actuality, firing 3 missiles only gives you a probability of 1-(2/3)^3 ≈ .7037 or about a 70% chance that you have destroyed the target. Their analysis is foolish because no amount of missiles can guarantee that the target is destroyed.
Lol, that's true. I got so caugh up in the decimal thing I didn't realized the joke was on the probability. Thanks for clarifying bobbym.
More than a 100 years of feminism and we've yet to get rid of dark ages' clichès. >> *sights*
Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
Or
Math is the language with which God has written the universe.
Hi;I think the math instructor is trying to say that the subordinate thinks .3333333333 = 1/3 when .3333333333... = 1/3
I think it may be so. Either way, isn't the difference way to little to take another missile to destroy the target? I mean, you don't have to pulverize it all, the difference of 0.9999999999 to 1 can't mean anything relevant.
You meant he incorrectly states right?
Your explanation is quite in keeping with how that fella in your signature defines mathematics...and also seems to follow Berry's Paradox.
Yeah, he knows what he's talking about, believe me, he's brilliant, I suggest his book "The Scientific perspective" if you wanna check his work someday, which I finished reading yesterday .
This Wikipedia article - http://en.wikipedia.org/wiki/Berry_paradox - begins by saying:
The Berry paradox is a self-referential paradox arising from the expression "the smallest possible integer not definable by a given number of words." Bertrand Russell, the first to discuss the paradox in print, attributed it to G. G. Berry (1867-1928).
All too much for my little brain!
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Thanks for introducing Berry's paradox to me.
Ubergeek wrote:But the answer to Q4. is .
No point in asking for an example of one, then.
But could you explain your answer for me, Ubergeek?
Yes, see,
You're welcome.
Here:
http://www.math.com/students/wonders/life/life.html
http://www.halexandria.org/dward835.htm
Philosophy is written in this grand book --
I mean the universe --
Which stands continually open to our gaze.
But it cannot be understood
Unless one first learns to comprehend the language
And interpret the characters in which it is written.
It is written in the language of mathematics,
And its characters are triangles, circles, and other geometric figures,
Without which it is humanly impossible to understand a single word of it.
Galileo Galilei, Il Saggiatore (1623)
Q4. Is it something to do with Berry's Paradox? If so, my brain says "good night".
I don't know Berry's paradox. But the answer to Q4. is .
Ubergeek wrote:Is there a mathematical number or equation or concept you can't explain in less than 100 words?
Yes, I can't explain anything in less than 100 words.
I'm sorry, there was a mistake at my question, now I fixed it.
I think I'll check Recreations in the theory of numbers. Sounds good.
Talk about math books in general, discuss your favorites, review some.
Discuss about math education in the U.S or in whatever your country is.
Let me start, my favorite math book is College Algebra by Murray R. Spiegel (from Schaum's outline series). It is the most complete book in terms of exercises and detailed solutions, I just love it.
About math education, I heard there is (or was recently) a crisis in the US, and that Danica Mckellar's books were a response to it, to help it, and also to diminish the gender gap in math. Here's her first book:
http://www.amazon.com/gp/product/0452289491/ref=s9_simz_gw_s16_p14_t2?pf_rd_m=ATVPDKIKX0DER&pf_rd_s=center-3&pf_rd_r=06FBBSMTA4T980R9NC4J&pf_rd_t=101&pf_rd_p=470938811&pf_rd_i=507846.
What do you think?
Even another one:
If 5 cats catch 5 mice in 5 minutes, 100 cats will catch 100 mice in how many minutes?
Just one more:
Is there a mathematical number or equation or concept you can't define in less than 100 words?
1) A number times two, added twelve and then the result divided by two equals fifteen. What's the number?
2) Find two positive consecutive integers whose squares' sum equals 481.
3) A student gets 5 points for every exercise he gets right, and looses 3 points for each he gets wrong. After doing 50 exercises he had 130 points. How many did he got right?
4) The sum of two brothers ages equals 30 years now. 8 years ago, the product of the ages was 48. What's the older brother's nowadays age?
Enjoy.
Glad you liked it guys.:D
Here's another one: (though is not only common sensical I guess)
A couple has sons and daughters. Each son has as much brothers as sisters. Each daughter has as much brothers as twice the sisters. How many kids does the couple has?
Have fun.
Two matematicians meet, they were college mates who hadn't seen each other for a long time, so they start discussing trivia:
Math. A: I have a wife and three kids now.
Math. B: Bet I can guess the kid's ages if you'd give me a clue.
A: The product of the ages equals 36.
B: Another clue?
A: The sum of the ages equals the number of THAT house.
B: Just one more?
A: Alright. My oldest son plays the piano.
Try to figure this out.:/
Math, specifically algebra; Languages in general*, Philosophy and Psychology.
*If you want to learn a new language, a good site where you can do it for free is livemocha.com.
Hi guys .
http://www.youtube.com/watch?v=1Amt_-uB9QQ&feature=PlayList&p=DE28CF08BD313B2A&index=0
http://www.youtube.com/watch?v=N7xVAmn10Xg&feature=PlayList&p=DE28CF08BD313B2A&index=1
http://www.youtube.com/watch?v=SQI97IAUqo8&feature=PlayList&p=DE28CF08BD313B2A&index=2
http://www.youtube.com/watch?v=SPznX3uQvp0&feature=PlayList&p=DE28CF08BD313B2A&index=3
Here are some of them. By the way, I'm new here.:D