Y= Tan X Graph

Discussion in 'Education & Learning' started by Hal Pollner, Feb 13, 2021.

  1. Hugh Manely

    Hugh Manely Very Well-Known Member
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    I have an interesting question for you.
    Is .999999999.... (9's never end) the exact same as the number 1? If not, prove it.
     
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  2. Hal Pollner

    Hal Pollner Veteran Member
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    Kirchoff's Law came after the understanding of Ohm's Law, stating that all currents in a parallel circuit shall add up to the total current.

    Then there's the RMS (Root-Mean-Square) value of an AC source.
     
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  3. John Brunner

    John Brunner Senior Staff
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    Ah, yes. When purchasing electronics or appliances, one must be careful to verify that the power rating is in watts RMS and not watts IPP.

    Deceitful little buggers.
     
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  4. John Brunner

    John Brunner Senior Staff
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    Yeh, how the hell did THAT happen?

    [​IMG]
     
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  5. Frank Sanoica

    Frank Sanoica Supreme Member
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    @Hugh Manely

    Would we consider Fourier, Cauchy's, or possibly some Infinite Trig Series?

    Frank
     
    #20
  6. Hugh Manely

    Hugh Manely Very Well-Known Member
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    No, it can be done simply.
     
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  7. Susan Paynter

    Susan Paynter Very Well-Known Member
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    After listening to the conversation of Christopher Havens on the radio, with regards to his rehab program and excellence in math, it left me in awe. You don't have to be a genius, you have to like the subject, imo.

    I dont!!


    How a convicted killer's passion for math inspired him to change his life — and others'

    Christopher Havens started the Prison Mathematics Project from behind bars.
    A convicted killer who taught himself advanced math from behind bars and is now sharing his love of numbers with other inmates says prisoners need opportunities to better themselves so they can be rehabilitated.

    Christopher Havens, an inmate at the Monroe Correctional Complex northeast of Seattle, told The Current's Matt Galloway.
     
    #22
    Last edited: Feb 15, 2021
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  8. Jeff Elohim

    Jeff Elohim Very Well-Known Member
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    For easy research then - who can find when that Law, Ohm's Law, IS FALSE today - doesn't work at all in some conditions TODAY. Thus, not constant now, nor ever, except with restrictions .

     
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  9. Hal Pollner

    Hal Pollner Veteran Member
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    In college math classes the term "Googol" was casually discussed, representing 10^100.

    To be even more "far out" how about 10^Googol, which is known as a "Googolplex"!
     
    #24
  10. Nancy Hart

    Nancy Hart Veteran Member
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    Proof by contradiction?
     
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  11. Hal Pollner

    Hal Pollner Veteran Member
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    When we receive a shock from our household voltage of 120 VAC, we're really feeling the "peak" value, which is the RMS value times the square root of 2, or 1.414.

    Thus, we're feeling the shock of 169.7 peak volts.
     
    #26
  12. Hugh Manely

    Hugh Manely Very Well-Known Member
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    You are correct, Nancy. Just assume that there is a number, say x, that is between .99999..... (called upload_2021-2-15_15-57-16.png ) and the number 1. So if x is the midpoint, we can find it by adding the 2 quantities, 1 and upload_2021-2-15_15-57-16.png and dividing by 2. This is easy - just use long division and divide 2 into 1.999999..... and see what happens.
     
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  13. Hugh Manely

    Hugh Manely Very Well-Known Member
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    Speaking of googols, It’s been estimated that there are only 4 x 10^79 atoms in the universe, which is less than a googol.

    So we can't even imagine how large a googolplex is!

    All the grains of sand on all the beaches (or even all the bodies in the universe) would not put even a slight dent into it.
     
    #28
  14. John Brunner

    John Brunner Senior Staff
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    I had never heard of this, and just read an article. Fascinating.
     
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  15. Hal Pollner

    Hal Pollner Veteran Member
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    Hugh, it's no wonder that all the atoms in the Universe total less than a Googol.

    After all...isn't the Universe mostly empty space?

    Hal (I just love mind-stretching discussions such as this !):rolleyes:
     
    #30

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