1. J

    For what Value of X will the following conditions be satisfied?

    Suppose I have the following six equations: x^60 = y1 x^30 = y2 x^20 = y3 x^15 = y4 x^12 = y5 x^10 = y6 What is the largest value of X (where X is greater than one) such that all y's (y1 through y6) are integers and y1 is smaller than one billion? Obviously the answer is somewhere between one...
  2. N

    When some integral condition for a pseudomeasure is satisfied?

    My problem is as follows. We have a measurable space (X,F) and a set function \mu :F \rightarrow [0,1] satisfying the following conditions: 1. \mu (\emptyset)=0 2. \mu(X)=1 3. if A \subset B then \mu (A) \leq \mu (B). I call \mu a pseudometric. I have some measurable function f:X \rightarrow R...
  3. L

    find "a" in P(x) to make P(x) satisfied eq x^2+2x2=0

    consider the integral eapression in x P(x)=x^3 + x^2 + ax +1 where a is a rational number at a=? the value of P(x) is a rational number for any x which satisfied the equation x^2 + 2x - 2 = 0, and in this case the value of P(x) is ..... pls help. I don't understand the question and...
  4. M

    partial differential equation satisfied by u(x,y)

    Let f : R \rightarrow R be differentiable and define u: R^2 \rightarrowR by u(x,y) := e^{x sin y}f(x - y) show that u satisfies the partial differential equation du/dx + du/dy= (sin y + x cos y)u ?