<p>^^Excellent! :D</p>
<p>Ah, yes. I'll start on the recipe tomorrow morning. Perhaps we can compare notes...</p>
<p>simple... take pancake batter and put it in the waffle iron...
isn't that what everybody was thinking???</p>
<p>waffles and pancakes! the <em>NEW</em> crazy delicious comination!!!!!</p>
<p>Ha, I'm glad this thread was taken over.</p>
<p>^^What do you mean?</p>
<p>dank08, watchu talkin bout?</p>
<p>Mwhaha! My plan works perfectly!</p>
<p>hmmm, I can help with the recipe! </p>
<p>I already signed up for AP Pancake-making and AP Waffle-making next year. :D</p>
<p>Let's discuss the implications of new research in Quantum Physics in applied metaphysics...</p>
<p>get outta here, steve. we've got import business to discuss! paffles need to be made!</p>
<p>I think it's pretty obvious. Make a sphere. It would be waffle on the outside, and fluffy pancakey goodness on the inside. </p>
<p>Now let's discuss Bra-Ket Notation. (it's cool because it has the word Bra in it.)</p>
<p>Hmm...let's see. Bra-Ket Notation is used in quantum physics to describe quantum states. However, I think the Notation is more useful in math (i.e. vectors, linear functionals). </p>
<p>The name itself is derived from the bracket that is the inner product of two quantum states. The left part is the bra (psi) while the right part is the ket (phi). </p>
<p>Since each ket is actually a vector in Hilbert space and each bra-ket pair is actually an inner product:
1) An axiomatic property of the inner product gives us:
<phi|psi> = <psi|phi>*
2) If we take bra to be phi and two kets psi1 and psi2 and complex #s c1 and c2, we have (since bras are linear functionals):
<phi|{c1|psi1>+c2|psi2>} = c1<phi|psi1>+ c2<phi|psi2>
3) If we take complex numbers c1 and c2 and kets ps1 and psi2 with c* denoting the complex conjugate of c, from the properties of the inner product:
c1|psi1>+c2|psi2> is equivalent to c1<em><psi1|+c2</em><psi2|</phi|psi2></phi|psi1></phi|{c1|psi1></psi|phi></phi|psi></p>
<p>Anything else to add fhqwgads?</p>
<p>what the hell was that? oO</p>
<p>It part of the Paffle Code! Shhh!!!</p>
<p>gchris, thanks for posting. that was a very short, simple, and well written explanation. </p>
<p>Anybody know about anything else interesting? besides waffles/pancakes?</p>
<p>Riemann surfaces? Conformal mappings and holomorphicity?</p>
<p>"Riemann surfaces?"</p>
<p>That would be quite a paffle...
<a href="http://www.mathworks.com/products/demos/shipping/matlab/cplxdemo_07_thumbnail.png%5B/url%5D">http://www.mathworks.com/products/demos/shipping/matlab/cplxdemo_07_thumbnail.png</a></p>
<p>You guys know that someone made up the paffle before you, right?</p>
<p>Yup, I'm bursting ALL the bubbles.</p>
<p>nooooooooo. where are getting this info from? your source is LYING!!!!</p>
<p>You're kidding me! Do they have patent?!</p>