Recent content by e_jane

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    Find the relation between 2 variables

    For clarity's sake, is the following an accurate statement of the three equations? ##\qquad \textrm{Eqn 1: } V_1 = \dfrac{-g_{m_1} V_{in} + sC_1V_{out}}{g_{m_c} + sC_1}## ##\qquad \textrm{Eqn 2: } g_{m_c} V_1 + s C_2 V_{out} = V_x \dfrac{s r_b C_2 + 1}{r_b}## ##\qquad \textrm{Eqn 3: } s C_1...
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    I have troubles finding the limit of this piecewise function

    Good point. I wish textbooks and (more) instructors took greater care on this topic, precisely to avoid that confusion.
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    I have troubles finding the limit of this piecewise function

    A function which has different rules ("formulas") for different input values ("different values of ##x##") is what is called a "piecewise function". In other words, a piecewise function is one which is defined by different rules for different pieces of the real number line. The term "piecewise...
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    Translation and rotation of quadric surface

    I sold that textbook back to the university's bookstore about thirty years ago. Sorry.
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    Translation and rotation of quadric surface

    They took out that whole chapter? Nice! I remember *hating* that chapter. :oldruck:
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    High School Complete the square, yes, but what does it mean?

    Before algebra was invented, "geometrically" was the only way to think about this stuff. Which makes it absolutely amazing to me that Archimedes almost invented calculus about two millennia before Isaac Newton did. :))
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    I've known about XKCD for ages; my kid wears their T-shirt. I "follow" "Math With Bad...

    I've known about XKCD for ages; my kid wears their T-shirt. I "follow" "Math With Bad Drawings". I'll take a look at CartoonStock. Thank you! My kid is all the time showing me math videos on YouTube; we watched a twenty-minute one this morning demonstrating that you can rearrange terms in the...
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    Yes, I'm "the Purplemath lady". But I'm posting just as me. The only connection to Purplemath...

    Yes, I'm "the Purplemath lady". But I'm posting just as me. The only connection to Purplemath will be my "stealing" some of the funnier science pics to post on Purplemath's Facebook page. Thank you!
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    Collection of Lame Jokes

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    Collection of Science Jokes P2

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    Collection of Lame Jokes

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    Music Cover songs versus the original track, which ones are better?

    Is it totally awful that, when my kid was doing a report on Michael Jackson in high school, we listened to various versions of "Man in the Mirror" and... we liked the "Glee" version better than the original? o:)
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    Meaning of "selling war surplus groceries" in historical text

    World War I created shortages. Britain began rationing in 1918. Rationing often results in (or indeed requires) that supplies be set aside for possible future demand. Thus the surplus in food supplies, where said surplus resulted from rationing caused by the Great War.