Recent content by Juliayaho

  1. J

    MHB Continuous Example: Weierstrass Function

    An example of an absolutely continuous f: [0,1] -> ℝ with infinitely many points at which f is not differentiable? Now what I had in mind was weierstrass function which says that f(x) = Sum (n=0 to infinity) of 1/2^n cos(3^n x) and is continuous everywhere but the derivative exists nowhere...
  2. J

    MHB Proving Lower Bound of $\int_{0}^{ \pi}\sin^{7}(x) \, dx$ is $(\pi/2)^7$

    Hi guys I have a doubt. How can I prove that (∫ (from 0 to pi) sin^7 xdx)(∫ (from 0 to pi) sin^(7/6) xdx)^6 is at most 128 But how can I prove that the lower bound of this expression is (pi/2)^7I think is a very interesting and not an easy question so any ideas? A guidance or something...
  3. J

    MHB Borel and σ-algebra related question

    Let B_k be the σ-algebra of all Borel sets in R^k. Prove that B_(m+n) = B_m x B_n. Help! Thanks!
  4. J

    MHB Optimizing Least Square Method for Ill-Conditioned Linear Problems

    Hi does anyone know the "formula/process" for the least square method if the are giving several (x,y) points and asking me to find y=Ax^2 + B?
  5. J

    MHB Lost in Exponential Equations? Need Help Solving for n?

    Yeah that's exactly what I don't remember the "(1 + r)^-n" part :/ I need to solve for n because it represents the number of month it would take me to payoff a loan... Is for a project that I'm doing... It's a one mor detail I would add to my loan calculator.. So I need to use the formula as n=...
  6. J

    MHB Lost in Exponential Equations? Need Help Solving for n?

    help me out... I am trying to solve for n p=x*(1-(1+r)^n)/r so far I know p*r=x*(1-(1+r)^-n) then (p*r)/x=(1-(1+r)^n) but then i get lost... help! thanks!
  7. J

    MHB Calculate pay off debt with minimum payment only?

    How can i calculate how many months it would take me to pay off a debt if I only make the minimum payment? let say I ow 5000 my interest rate is 6.4% my payment rate is 2% so If i calculate my minimum payment I know it be 100 more or less but I i just pay that minimum how many month it would...
  8. J

    MHB How is √2 μ Interpreted Geometrically?

    Re: Measure... Geometrically? The unique positive regular measure on B(R^2) such that for all f in C_c(R^2) λf= ∫_R^2 f dµ - - - Updated - - - The unique positive regular measure on B(R^2) such that for all f in C_c(R^2) λf= ∫_R^2 f dµ - - - Updated - - - λf=∫(from R to Riemann) f(tt)dt...
  9. J

    Python Python program help with my math code

    Hi I built this code that runs well. Is about calculating a student loan... The problem is that I wish I could create a table that will tell me in each column "payment number", "remaining balance", "interest amount", "principal amount" Can you help me do this? I am new to python and this is not...
  10. J

    MHB How is √2 μ Interpreted Geometrically?

    This is part 2 of a question... I already solved part 1 but I can't seem to be able to solve this one. Interpret the measure √2 μ geometrically? Any ideas... This is from real analysis class Thanks in advance!
  11. J

    MHB Bounded linear functional question? Real Analysis

    Thank you all for your help :)
  12. J

    MHB Bounded linear functional question? Real Analysis

    Consider the functional Tf = f(5) - i f(7). If we take the domain T to be C_0(ℝ) with supremum norm, is T a bounded linear functional? What if we take the domain to be C_c(ℝ) with L^2 norm || . ||_2?I know I should post what I have so far but this time I have no idea because I had to missed 2...
  13. J

    MHB A model based on two roads and traffic lights probability

    Hello this is Julia. I wanted to build a model with a probability problem with the following. Consider the intersection of two roads controlled by a traffic light. The model should consider probabilistic the arrival of automobiles in each direction. Then evaluate how you would set the timing...
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