Mathematics

Can anyone recommend me some good number theory books please? thank you

Hi, Could you please help me to linear this, my model is non-linear so it cannot estimate. someone suggest me using the Taylor Expansion but I think it to hard to apply the Taylor expansion in my case Thanks you so much! Chung How to linear this equation.pdf

Using the linear regression method outlined in the following https://www.easycalculation.com/statistics/learn-regression.php I wrote some javascript to find the outliers of a given set. However I would like the method to work with curves and in 3d. Not sure of the forumlae in 3d. <script> function findLineByLeastSquares(values_x, values_y) { var sum_x = 0; var sum_y = 0; var sum_xy = 0; var sum_xx = 0; var count = 0; var x = 0; var y = 0; var values_length = values_x.length; if (values_length != values_y.length) { throw new Error('The parameters values_x and values_y need to have same size!'); } if (values_le…

I am looking to get a program that does something similar to the Latex except for typing papers and lab reports. I have read of a program called Abacus and was wondering if anyone used it and if so how did it work. Or does anyone use a similar program.

Is there a name for a family of parametric curves [math] x(t) , y(t) [/math]where... [math](\frac{dx}{dt})^2+(\frac{dy}{dt})^2=1[/math]? If possible, generalized to multiple dimensions... [math](\frac{dx_1}{dt})^2+(\frac{dx_1}{dt})^2+...+(\frac{dx_n}{dt})^2=1[/math]

Anyone has read "elements" before?

please can someone solve 2e^5t to 3 significant figures.

A car, a van, a truck and a bike are all travelling in the same direction on the same road, each at its own constant speed. At 10 am, the car overtakes the van; at noon, its overtakes the truck; at 2pm its overtakes the bike. At 4 pm the truck overtakes the bike and, at 6pm, the van overtakes the truck. a) Let c an T represent the speeds in km/h of the car and the truck respectively. i) Find the speeds of the van and the bike in terms of c and T ii) Show that the time when the van overtakes the bike is the same regardless of the speeds of the car and the truck

Im having a little trouble grasping a little maths that Cantor came up with. Its the one where you write every single decimal real number in a list, then you take the first decimal digit of the first number, the second digit of the second number in the list, the third digit of the third number etc. to get a 'new' number. you then change that number in a set way, and you have a completely new decimal. my problem is that although you have a number that has a different first digit to the first number, so its not the first one, and its not the second one, and so on, you will still have written every possible decimal real number, so how is it not in the list?

Hello, I have a somewhat-working familiarity with set theory, and have recently been reading (naively) about category theory and type theory, each proposed as potential autonomous foundations for mathematics. To someone who has a better-than-vague understanding of the three, what is the discrepancy or motivation for one over the other? Why isn't first-order or higher order logic considered the "foundation"? When considering set theory as a foundation, can all discussion generally be deferred to ZFC; for category theory, can it be deferred to the category Set or topoi; for type theory, can it be to homotopy/univalent type theory? Thank you, Sato

This code was given to me, and I think I may have some of it, but I'm not entirely sure. Can any of you help me to figure this out?

I have to do a presentation on a math article for a senior topics class in a couple weeks and i was wondering if anyone had a good article on hyperbolic space that has a proof in it that is fairly graspable. Or if anyone has any interesting article so long as it has a proof in it and is not super long. Thanks guys Nathan

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…

Solve for x in the below: x2= 16x Systematic procedure required if possible, please.

I'll probably be taking math class at local college in my senior year. I know that the best way to choose class is to contact with the college's math department but I wonder what you guys think will be a good class to take. I know some NT, combinatorics, algebra, trig, geometry, and hopefully be able to learn some graph theory/invariant sometime in future before my senior year. I personally do not like calculus much so good tip? Also, if I take class at local college, will this go as a part of my regular transcript or count as "AP" type credit? Thanks.

Take a 2D enviroment that contains a straight line where the x and y coordanates of the two ends of the line are known and also the position of a car and the angle it is facing (7 values). The car moves forward in a straight line. Is there a simple, reasonably computationally fast way to work out if the car ever intersects (crashes into) the line? Would it become much more complicated if one of thease additional pieces of information was needed? either where did the intersection occur or given multiple lines which one was intersected first.

The total land area of all continents is 148,647,000 square kilometres (57,393,000 sq mi) Approximatley, how much would it take for one average human feces spread out on the ground would it take to cover the entire land area of all continents?

Hi, I'm suggesting a new reinforcement learning algorithm applied in my case on robots, please see: http://www.compactech.com/kartoun/articles/html/Kartoun_RA_2005_September_3_2005_Accepted.htm'>http://www.compactech.com/kartoun/articles/html/Kartoun_RA_2005_September_3_2005_Accepted.htm I would like to describe the algorithm more scientifically; define it mathematically much better than described in the paper. I'm asking for guidance of how to prove an algorithm, for example in the form of convergence or superiority. How can I demonstrate advantages or disadvantages of an algorithm mathematically? How can I prove convergence or divergence? How …

Gauss's law describes the electric field created by the point charge. This law is applied when the point charge is isotropic only. Do you think it's a trivial matter? I don't think so. I tried to extend Gauss's law to the case when the point charge is not isotropic in the following site; http://hecoaustralia.fortunecity.com/gauss/gauss.htm

How do I figure out how many roots there are in a function? (Explain steps and post formulas) Example1: y= (x+3)^2 -2 Example2: y = (7x - 1)(x^2 - 2) Thanx

Hello! Im new here so and in a hurry so I don't know if I'm posting at the right place but anyway here's my pickle! I'm trying to isolate y in this equation: (y^2) - 4y +10 = P anyone care to hint me ? I tried decomposition but it was in vain heheheeeeeeeee THanks!

Dear Science Forums members, I have a tricky problem that I hope one of you can help me with. (It's for a personal project, nothing to do with school.) I'm looking for a closed-form expression for the sum of the first through m-th terms of a combinatorial number. For those of you unfamiliar with combinatorial numbers, here's some useful reading: http://en.wikipedia.org/wiki/Combina..._number_system Basically, the idea is this: for any non-negative integers k, and b, we can express the value of b as a sum of k terms of the form (r1 choose k)+(r2 choose k-1)+(r3 choose k-2)...(rk choose 1). For every t and s where t and s are non-negative integers such that t<s, it wi…

I had a question in a recent exam that asked you to prove the formula to calculate the sum of an A.S. I only got 2/11 on it so i was wondering if someone could tell me it. I have searched the internet for one but all seem to be a bit rubbish and i think i can get better results here

Hi everybody. For a long time I kind of perceived myself as a relatively dumb person as I often had pretty big problems learning math in school - and some other subjects too. I eventually dropped the school altogether and started learning computer programming on my own (and I've learned more of it than I would've in any standard school). But, some time ago, I discovered that I'm mostly a visual-spatial learner. and my learning problems seem to (mainly) come from the fact that I have hard time with the standard linear learning style which is used in schools. I need to see the big picture of things first, I think mostly in pictures and/or associations/symbols betwee…

Hello, Can anyone please provide website(s) for challenging problems that are related to gr.12 curriculum. Thanks