Recent content by amilapsn

  1. amilapsn

    I The largest n such that K_n can be expressed as the union of

    Plug in some values, Draw some examples, Although it can't be done, Try to get some counter examples.. And ah ha! In a moment or two, You'll get the intuition!
  2. amilapsn

    Does SNR Indicate Bandwidth Limitations in Signal Distortion?

    Does SNR give a clue to bandwidth limitations? i. e. Would it help to figure out how the signal is distorted due to the limitation of the bandwidth? I think answer is "no" though.
  3. amilapsn

    Proving the Axiom of Quantifiers: A Simple Algebraic Approach

    universal generalization:if P(a) is true for all a in universe of discourse then we can say $$\forall x P(x)$$
  4. amilapsn

    Engineering Waveform of R,L,C in DC circuit

    what is the value of R in ohms?
  5. amilapsn

    Proving the Axiom of Quantifiers: A Simple Algebraic Approach

    Somebody tell me whether I'm right or wrong...
  6. amilapsn

    Proving the Axiom of Quantifiers: A Simple Algebraic Approach

    I didn't get you... Do you mean this...? ##Assume\ \forall x\forall y\ p(x,y)## ##Let\ y_0\in \mathbb{R}## ##\ \ \therefore \ \forall x \ p(x,y_{0})## ##\ \ Let\ x_0\in \mathbb{R}## ##\ \ \ \ \therefore\ p(x_0,y_0)## ##\ \ \therefore \forall x\ p(x,y_0)##...
  7. amilapsn

    Proving the Axiom of Quantifiers: A Simple Algebraic Approach

    Homework Statement This question may seem as an axiom to some. I also feel the same. Prove: ##\forall x\forall y\ p(x,y)\Leftrightarrow\forall y\forall x\ p(x,y)##The Attempt at a Solution [/B] ##Assume\ \forall x\forall y\ p(x,y)## ##Let\ x_0\in \mathbb{R}## ##\ \ \therefore \...
  8. amilapsn

    Proving or Disproving a Statement in Set Notation

    Just now I felt what is called as "Enlightenment..."
  9. amilapsn

    Proving or Disproving a Statement in Set Notation

    Yeah, it's really clearer...
  10. amilapsn

    Proving or Disproving a Statement in Set Notation

    Then the proposition is true for all a, so that we can't disprove it. We have to prove it. Thanks again @PeroK
  11. amilapsn

    Proving or Disproving a Statement in Set Notation

    I see. The proposition holds for a=1 too, because A(1) false and B(1) false. Thanks... Thank you for showing me the better way to look at the question.:smile:
  12. amilapsn

    Proving or Disproving a Statement in Set Notation

    Because a=1 is not less than for all ##\epsilon>0##
  13. amilapsn

    Proving or Disproving a Statement in Set Notation

    The proposition holds for a=-1,0. But it doesn't hold for a=1.
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