1. B

    mathematical#not sure what the meaning of the third question,anyone can give a hand?

    Andrew works in the railway industry as an engineer for a wage rate equal to Wt. He consumes part of his wealth and invests the rest in the financial market for a constant gross return equal to R > 1. Consumption is denoted by Ct and total investment by It. In every period t, Andrew places a...
  2. L

    Advice on mathematical and physical sources & dictionaries with th indexes (filters)

    Could you recommend some resources or dictionaries on mathematics and physics with thematic indexing of words, such as the Compendium of Chemistry Terminology (a.k.a. the IUPAC Gold Book)?
  3. Y

    Euclid Algorithm Mathematical Induction

    Hello, This is my second post on this form, so please let me know if I should move it to a more suitable section or use better formatting. I have this exercise in the book Algorithms by R. Sedgewick and K. Wayne: Use mathematical induction to prove that Euclid’s algorithm computes the...
  4. A

    We analyzed statistics and found a mathematical phenomenon

    Hello, We analyzed statistics and found a mathematical phenomenon. If you are interested this is our video TPZSGqHpFpI
  5. A

    We analyzed the data and discovered a mathematical phenomenon

    Hello, We analyzed the data and discovered a mathematical phenomenon. If you are interested visit our video TPZSGqHpFpI
  6. A

    mathematical phenomenon in Probability

    Hello, 2 years artificial intelligence researched the results of the popular US and European lotteries. The first sensational results were obtained TPZSGqHpFpI
  7. shunya

    The mathematical constant e (Euler's constant)

    The mathematical constant e (2.7182818...) is given by the formula: e = limit of (1 + 1/x)^x as x approaches infinity. I used the graphing tool Desmos and graphed the function y = (1 + 1/x)^x and saw the following results: 1. Horizontal asymptote at y = e 2. vertical asymptote at x =...
  8. Y

    Arrange Mathematical Operation Using 0-9 to Match the Post Number + 12000

    Arrange Mathematical Operation Using 0-9 to Match the Post Number + 12000 Continued from here. The rules are as given below. 1. Use the integers from 0 to 9 (one of each) to provide a mathematical expression whose value equals the post number + 12000. 2. Approximation is not allowed. 3...
  9. H

    Doing mathematical induction

    There is a mathematical induction problem, where I am not sure if the steps I am doing this makes it a valid method. Here is the problem: Prove the following via mathematical induction: $2^n>n+4, n\ge 3$ Proof: We skip the case for $P(3)$. Assume $P(k)$ is true, then we prove $P(k+1)$ also...
  10. P

    Source code for Mathematical functions.

    Reference: Can we have the Source code of Math functions viz Log(), Sin(),Cos() etc? Thanks & Regards, Prashant S Akerkar
  11. NineDivines

    Our Mathematical World by National Geographic

    Is anyone a subscriber to Our Mathematical World by National Geographic? I want to know what the quality of the reading content is and if it’s worth it. There’s sixty issues to collect in total and I’ve been thinking about subscribing but at £8.99 per issue x 4 issues per month...
  12. A

    Mathematical series & sequences computer programs for printin series in reverse order

    Reference: Can we write computer programs for the mathematical series & sequences link given above which will print the series in reverse order? Programming languages could be...
  13. B

    Mathematical Induction Recursive Function Help!

    T(n) = \begin{cases} 2, \quad n=2 \\ 2T(n/2) + n, \quad n=2^k \quad k>1 \end{cases} Prove (If n is a power of 2) using mathematical induction that: T(n) = n\log_2(n) I tried it but I can't solve it, probably because I don't know how to use the information that n is a power of two. This is...
  14. ProofOfALifetime

    Does anyone else work on American Mathematical Monthly problems?

    I was wondering who else works on these? I think they are fun.
  15. C

    Mathematical notation of matrix

    Hi, I would like to know how is the mathematical notation to describe the selection of a part of a Matrix, eg. in Matlab B=A(1:3,1:2) I appreciate your help
  16. S

    Help with a mathematical proof

    I am trying to solve the following problem, any help will be appreciated.
  17. K

    The National Mathematical Olympiad in Bulgaria

    We have the quadrilateral ABCD. The middles of AB, BC, CD and DA, are respectively M, N, P and Q. The centroid of BNP is F, and the centroid of NPD is G. MG intersects FQ at K. We know that FK = 6 and we have to show KQ = 9. Thank you in advance and sorry for my bad English. I made drawing...
  18. H

    Can you help me answer following mathematical questions?

    Let f(w) = 2w^3 - 5. What is f(4)? Let f(w) = 2w^3 - 5. Let z = 2. What is f(z)? Let g(x) = cos(x/2) - 3x. Let f(x) = 2x + 5. What is g(f(x))? Let f(x) = tan(x) - 2/x. Let g(x) = x^2 + 8. What is f(x)*g(y)? What is the derivative of x^2 - x + 3 at the point x = 5? What is the...
  19. H

    Partial Differential Equation Mathematical Modelling

    Salutations, I have been trying to approach a modelling case about organism propagation which reproducing with velocity \alpha spreading randomly according these equations: $$\frac{du(x,t)}{dt}=k\frac{d^2u}{dx^2} +\alpha u(x,t)\\\ \\ u(x,0)=\delta(x)\\\ \lim\limits_{x \to \pm\infty} u(x,t)=0$$...
  20. J

    Interesting Mathematical Find.

    Hello, I wanted to share something I find interesting with you all. So, I was experimenting with making up math formulas, I like to do that in my spare time. I found something VERY interesting, (at least to me,) while doing this. I was trying to find out on my own a regular polygon...