Applied Mathematics

I recently watched the movie again and was curious if anyone has studied John Nash's theory more in-depth. Can anyone explain exactly what the theory predicts and/or how it works?

hello, I am trying to work the following problem, but i know i am doing something wrong since my answer doesn't make sense. Suppose we roll a die repeatedly until we see each number at least once. Let R be the number of rolls required. fin ER ( the mean value of R). The way I did it is: Each number has a probability p of being shown, and q of not. p = 1/6, and q = 1-p = 5/6. ER = p + pq + pq^2 + pq^3 + pq^4 + pq^5 for the first # that will show + pq + pq^2 + pq^3 + pq^4 + pq^5 for 2nd one + pq^2 + pq^3 + pq^4 + pq^5 for 3rd one + pq^3 + pq^4 + pq^5 for 4th one + pq^4 + pq^5 for 5th o…

Hi: Im reading this book called "Wonders of Numbers" by Pickover and in one chapter he says that a probability simulator would help solve the problem. In case you don't know, a probability simulator simply simulates a situation where you want the computer to randomly pick some numbers. I would prefer a visual simulator but if you know of anything plz tell me. Thank-you

I am trying to solve some problems on distribution functions and expected values, and I am stuck with 4 of these problems. I will appreciate any help or hints. thanks in advance! Suppose X_1 and X_2 are independent and normal(0,1). Find the distribution function of Y = ( X_1^2 + X_2^2)^1/2. This is the Rayleigh distribution. Suppose X1...Xn are independent and have density function f(x). Let Y =min { X1,...,Xn} and Z= max{X1,...,Xn}. Compute P( Y >= y, Z=<z) and differentiate to find joint density of Y and Z. Suppose X has the standard normal distribution. Compute E|X|. Suppose X has the standard normal distribution. Use integration by parts to co…

I came across a bit of a snag when I was working with permutations of things in a circle. The problem is that I have 8 particles, 4 negative, 4 positive(the particles are indistinguishable except by their charge) arranged in a circle. When I asked the question how many ways can I reorder these particles? I came up some interesting results. According to the formula I was taught: (8-1)!/4!*4! But this equals 8.75 permutations! Is this a special case? Is the formula wrong? Please help me out!

In the name of Allah hey, I am using the fundemental theorem of transformation to transform gaussian distribution into uniform distributiuon. i want the resulting uniform distribution to be limited in the range of -a:a. How i can do that? One more thing, does ne1 know how to generate a skewed distribution. Thank you in advance, Mariam

Hi all, I have two random variables - both Gaussian but with different means and standard deviations. A third variable is equal to the maximum of these first two variables. Is this third variable also of Gaussian distribution? Regards

on the homepage of SFN, I clearly see that we have 3121 members, but only 1 member's birthday is today. of course there are many users that didn't enter their birthdays to their profiles, but this number is still very impossible. could anyone give a mathemetical explanation?

The National AIDS Bahavioral Surveys found that 170 individuals in its random sample of 2673 adult heterosexuals said they had multiple sexual partners in the past year, that's 6.36% of the sample... but my prof said this is biased, my guess is that the survey concerns a sample consists of only adults who are heterosexuals and based this random sample's result to cover all types of sexual preferences for adults in the community... is this a reasonable explanation? Please enlighten me, thanks a lot in advance!

“I constructed a circle by tracing around the shape of the base of a good cylinder(such as Milk Tin): How can the centre of such a circle be obtained, in order to measure its radius? IN SUMMARY: How Can an Unknown Center of a Circle be Located? NB: With only a straight edge and a pair of compasses.

Ok this is my first time posting on this site, If anyone can help me with this that would be great. Its kinda hard to explain but ill give it a try. There is a Square (ABCD) with a segment extending from the bottom left hand point (B) a bit more then two times the length of the side (BC) of the square. the point ending this segment (H) has a segment extending from that to the upper left hand point of the square (D) and past that point to a the intersection point (E) of that line and a line perpendicular to that extending from the upper right hand corner of the square (A). There is a segment begining at (A) and ending at (E). There is another point (G) that lies on the …

What does "recreational mathematics" mean? what sort of things in mathematics is considered as "recreational"? is "recreational mathematics" another word of "game theory"? if not, what is their difference? and maybe their relationship? Apreciate for furthur responds Albert

The Colossal Book of Mathematics: Classic Puzzles, Paradoxes Aand Problems http://www.amazon.com/exec/obidos/tg/detail/-/0393020231/ref=sib_err_dp/104-9010478-8647951?%5Fencod ing=UTF8&no=283155&me=ATVPDKIKX0DER&st=books On Numbers and Games http://www.amazon.com/exec/obidos/ASIN/1568811276/qid=1098480872/sr=2-1/ref=pd_ka_b_2_1/104-9010478- 8647951 Above are two good books about recreational mathematics I found on Amazon, which one is better? More concentrated on the idea of game theory? since for the first book, it is quite weighty, and I was thinking about its quality.... Any comment on those two books? Albert

Hi, This isn't an astronomy question really, but a pure geometry one (as you'll see with all the unrealistic assumptions). Imagine you have a perfectly spherical body in space (like a planet or moon), and it is sitting still (not moving or rotating or revolving). Meteorites, travelling in random directions, might hit it. Assume the meteorites are travelling in straight lines and aren't influenced by the gravity of the our little sphere. Given that the meteorites are as likely to be travelling at any angle, or through any point, as any other....what percentage of the meteorites that end up hitting the sphere should strike the surface at greater than 4…

Hi, In the paper today they mentioned 800 people that played together for a total of about 40.500 Euro, max to win if they are the only one is 7.000.000 euro. I want to know the chance that they win. you have 42numbers (order doesn't matter) 6 numbers are drawn. if you only choose 6numbers of the 42 than your change is simple. 6/42*5/41*4/40*3/39*2/38*1/37= 1/5.245.786 But they paid a lot more so they could choose 14 numbers of the 42. and they did that 27times (27*1500euro) Now how to calculate the chance that they win (or lose)?

OK im prob being really stupid, but i cant for the life of me work out how to do this problem. can someone help??? A random variable X takes the integer value x with probability P(X=x) defined by P(X=x) = kx^2, x = 1, 2, 3 P(X=x) = k(7-x)^2 x = 4,5,6 P(X=x) = 0 otherwise Find the value of k

I'm suppose to indirectly measure the width of our school soccer field while being confined to the outer length, we're not allowed to be in or cross it, or on the other side of. In other words, all measuremeants must be taken from the 'near side'. I have to provide a method. The best idea i've heard thus far is to determine the length, then observe the angle of the diagnol, any other ideas would be greatly appreciated.

I know of several uses for the Laplacian operator Del^2 in physics and the like. Is there a mathematical/physical meaning of Del^3. What would be this operators name? Does this hold for Del^n. Would this have applications in hyperdimmensional geometry?

Hi Everyone!!! Ijust joined this forum.I came across this problem and dont how to solve it. Let ABC be a triangle in which AB=AC and Angle CAB=90.Suppose M and N are points on the hypotenuse such that BM^2 + CN^2 = MN^2.Prove that angle MAN=45.

I want the sensor/source data but I only have a tiff format. can it be done? I want the colours seperate like they were captured. Some info on demosaicing http://ivrgwww.epfl.ch/teaching/student_projects/Jousset.pdf http://www.faculty.idc.ac.il/toky/Publications/TR/demosaic.pdf

I'm about to start my 4th year as an undergrad in applied mathematics. I plan on going for at least my masters after school and am looking for some career advice. I know there is A LOT of things i can do with a math degree but i would like to do something with a defense contractor or maybe softeware engineering...something to do with solving problems or building things using math. I know my question is kidna all over the place but, any ideas? Feel free to shoot me some questions to help narrow down. Nathan

I am building a software package that converts 2-d drawings into 3-d objects. In the process, I am in the need of knowing an algorithm to determine the rank of a matrix. I am dealing with a 4x3 matrix and need a method (that can be easily coded into a computer programme) which would mechanically compute the rank of such a matrix. I am unable to develop any such method so can anyone help me ? I must add that determination of rank using the definition of rank seems a bit too inefficient to code.

When you have a circle with radius r and and an angle A in standard position, you can find the point the terminal side intersects with the circle. How would you do that for an ellipse?

Can anyone tell me any site (WWW) where I can find exaples of Positive Binomial/Poisson distribution. These are the distribution formed by excluding '0' in both distributin. I have found article of Prof. Thomas W. Yee of the University of Auckland on "VGAM Family Fuction of the Positive Discrete Distributions". The examples he has provided are quite interesting and used SPLUS. I have SPLUS 2000 (professional) version in which there is no VGAM( but has GLM) and no family=positive.binomial, so that I can check for the mle of say 'p' in case of Positive Binomaial and 'lambda' in case of Positive Poisson. Can anyone suggest any alternatives than what Yee have shown or an…

A sphere has _____ side(s). Fill in the blank, thats all. a) one b) no c) infinate d)