Mathematics

Lately I've become interested in mathematics although I have always had (great) difficulty with it and I've always suspected that I have a below average IQ. I'm fascinated with the idea of mathematics being the language of nature and I plan on getting around to working on math problems in my spare time (I don't remember ever having done algebra, calculus or anything beyond basic arithmetic in school). I know that listening to classical music and practicing meditation have been shown to strengthen math/critical thinking skills and I'm sure eating healthy, exercising regularly and taking care of your health in general would also help keep the brain young and healthy, is the…

What is the importance of measure theory, it is a branch that I've heard little about? Can anyone point me at the definitive text on its foundation?

1) you are in a cybercafe for accessing internet , You are required to provide the user identification for which you have to use 8 alpha-numeric characters of which first will be alpha character and of the remaining at lease 2 should be numeric characters.How many identification passwords can be created? 2) find the number of ways of seeting m women and n men(m<n) at a round table so that no 2 women seat together? ? ? ? plz sove this question as fast as possible . . . . .

I am not a mathmatician but, to fully understand a book I am reading; I do need to know if a constant for force A can be sustituted with the constant for force B and if so, a reference to the rules would be apreciated. (both being quoted in letters, not numbers although the do have numerical values in different [at present] non-convertable units).

I have a set of X and Y points and I want to fit a Power curve to them. Y = a*X^b + c whats the algorithm for determining a,b,c?

Hi I've decided to go back to the books and refresh my maths knowledge... I'm going over the introductory section of Engineering Mathematics by K. A. Stroud. In the section on unending decimals he gives examples of how to convert an unending decimal into a fraction which goes like so (I haven't used his exact words below): To convert 0.18181818 recurring into a fraction you multiply [math]0.\dot{1}\dot{8}[/math] by 100 So: [math] 100 \times 0.\dot{1}\dot{8} = 18.\dot{1}\dot{8} [/math] Then if you subtract [math]0.\dot{1}\dot{8}[/math] from both sides you get: [math] 100 \times 0.\dot{1}\dot{8} - 0.\dot{1}\dot{8} = 18.\dot{1}\dot{8} - 0.\dot{1}\d…

Is it allowed for me to ask for maths help concerning the Einstein field equations to the Newtonian gradient? I wouldn't be asking for any validation or opinion on the physical theory, only whether I have made a mathematical error. Having trouble finding anyone who can give it a review.

Under what conditions does: \sigma_f=\sqrt{\left(\frac{\partial}{\partial x_1}f\sigma_{x_1}\right)^2+\left(\frac{\partial}{\partial x_2}f\sigma_{x_2}\right)^2+\ldots+\left(\frac{\partial}{\partial x_n}f\sigma_{x_n}\right)^2} Hold true, where \sigma is error? edit Darn, I thought the TeX environment was integrated such that I didn't need to specify "\[\]" and stuff.

...no three of them lie on one line. Say in 2D euclidean space. What would it look like?

Is the quantity 1/infinity undefined? I mean the probability of selecting a number from the infinite series of whole numbers? Is it undefined?

Given the relative distances to the vertices of a triangle, can one determine the point. For e.g, if P is the point denoted by coordinates (x,y) and the vertices are known (x1,y1), (x2,y2) and (x3,y3), and the ratio of the distances to the vertices relative to the closest vertex (let's say P is closest to (x1,y1)) is given, then is it possible to determine P (assuming that P is within the triangle). if D1,D2 & D3 are the distances to the 3 vertices from point P, then we are only given the ratio of these distances relative to D1 i.e. (1, D2/D1, D3/D1) (and the vertices themselves are known), and P is restricted to be within the triangle.

I'm reading Comprehensive Mathematics for Computer Scientists 1, has anyone read it? I've picked this book last year, i wanted to understand the Rubato music composer and after i understood what would be needed to operate it, i asked Guerino Mazzola about a good book to get started on the necessary topics, he suggested me this book. I opened the book and i made the first chapter pretty fast, but when the second chapter came, i swear that the only thing i could see is something like the image below. Now that i know a little more of maths due to books like "for dummies" and "The complete idiot's guide", i open the second chapter and it seems more like th…

In your opinion, who are some of the top 5 mathematicians, currently

I discovered a Law for Prime Numbers. I have for the couple of years searched ways of finding a law which will determine the prime numbers. As we all know, the law which will allow us to predict prime numbers are unknown. Unfortunately, today, I cannot still offer any remarkable law which will determine prime numbers, but I did find another law for prime numbers along the way. The Law States: The sum of all numbers which make up a prime will give you a number which will never be allowed to be a multiple of 3, nor do any digits ever make the sum of 12 to allow 3 to be divided, with the only acception of the the second prime number that is 3. If after you have taken…

I'm trying to construct something and i have confused myself, I can't remember my maths lessons! So I'm stuck on how to work something out... If there are two circles, one within the other (lets call the outer circle 'O' and the inner circle 'I'), If circle I has a radius of 2cm, What should the radius of O be, so that the area of I is equal to the area of O - I? your help would be very, well, helpful! thanks in advance

My knowledge of mathematics is very basic, and I'm looking to start from the bottom up. I've looked at some videos online and most seem to focus exclusively on procedural proficiency. Are there any sources online which place particular stress on conceptual understanding that I could use or is it just on me to look at the procedures and think about what they mean? I've looked at the course videos offered by universities on their youtube channels but they don't seem to offer a full progression of courses, it seems very random patchwork. I'm looking for online sources.

I don't know why people claim fx-570MS is right (most of these guys tell that their teachers said so ) , I mean:- (translated from my comment there) ‎9 is right... proof : ab = a * b, so 6 / 2(3) = 6 / 2 * 3 = 9. (translated from my comment there) so guys, which one is right?

Basically, we don't know what the truth values for FT an FF (in implication) should be. We chose them to be true, but is there any basis for this choice?

Okay, this has confused me for a while now. Arctanh and arccotanh seem to be two different functions. Yet their derivatives are the same. What's more when I plot the two in WA, the plots overlap (at least the real parts). However, when I make WA solve the equation Re(arctanh(x)) = Re(arccotanh(x)), it gives me no real solutions, and a bunch of completely random complex solutions. So what's the deal?

When we try to write Pi in decimal notation, we get an endless stream of digits. 3.141592653589723.....and so on forever. This seems counter-intuitive. You'd think that a simple thing, like the ratio between the radius and circumference of a circle, ought to be a simple, precise number. After all, isn't the Universe made almost entirely of circular and round things. Could the seeming lack of precision in Pi, be due to our human custom of using decimal notation. For example, if we divide something into 3 parts, each part is then, in decimal notation, an imprecise 0.333333333.... of the original. But suppose instead, we use Fractional notation. Then w…

I want to understand the logic behind Calculus, can you refer me to some material available online? I have done calculus before (about 2 years ago), and I'm looking for a book on the foundations of calculus, not a book on practical calculus. Also, what terms should I search for in search engines? If you would like to talk a bit about the foundations of calculus, that would be really appreciated.

Are there formalized statements about the fact that representation inflates the amount of information present? I mean in electronics a binary decoder is an example of how representation causes inflation, but I'm looking for more general statements about this before I feel it is necessary to make my own; order of preference here.

Im planning to solve the following problem with trial and error in c++ after solving this equation by calculating the partial derivatives and force them to be equal to ZERO we obtain the attached equations for a b c. as you can see we have to use the trial and error method to solve this problem for a b c the problem is the first guess of a b c. based on the first guess the answer changes and usually goes to infinity !!! Im asking you to help me to find the proper first guess. Ive attached a set of sample xi yi data to the post too. data_file.txt just in case I attach the c++ class I have programmed to this post too. Po…

Here is a cool trick to square numbers made up of repeating 1 (one). Count the number of repeating 1 in the number to be squared and put the digits ascending from 1 up to that number. That is, if there are four 1's in the number to be squared, put 1234. Then, put down the same numbers inversely, that is, 321. That’s it. It is so easy, it’s just mental math. Easy and fast. Let’s illustrate with an Example: If the number to be squared is 111 There are 3 repeating 1's. So, put down 123. Then, put 21 after 123. So, 1112 = 12321 See the pattern? Let's see another one, Square of 11111 =? There are 5 repeating 1's. So, put 12345. Then, put 4321…

Hi in my previous topic we reached to a conclusion that I need to find the minimum value of the following function . [math] cost(a, b, c) = \Sigma_i (y_i - a x_i^b - c)^2 [/math] "yi" and "xi" are the result of a complicated analysis on my lab data and I need to find a,b,c in a way that COST(a,b,c) function be minimum. I know its simple to use mathematical softwares like matlab or mathematica. but I have to develop my program with c++ so I need to know the algorithm of this process. can you help me with that ? I would be appreciated