early divider drawings REVD
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Short Word document dated 3/26/05 (PhL) containing typeset sketches of polynomial long division laid out like paper arithmetic. The divisor h3z3+h2z2+h1z1+h0 is divided into a series in z^-1 with coefficients i0, i1, i2, and so on, and the quotient terms o3, o4, o5, o6... are multiplied back and subtracted. Successive remainders are labeled Current Dividend #1, #2, #3. The file is in a folder marked as not needed anymore and appears to be a draft template with placeholder title text.
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This is the Title PhL 3.26.05
Note that page numbering is turned on in this template.
o3z-3 + o4z-4 + o5z-5 + o6z-6 + o7z-7 + o8z-8 + .... ______________________________________________________________________________________________________________________________
h3z3 + h2z2+ h1z1 + h0z0 | i0z0 + i1z-1 + i2z-2 + i3z-3 + i4z-4 + i5z-5 + .....
– o3h3z0 – o3h2z-1 – o3h1z-2 – o3h0z-3
– o4h3z-1 – o4h2z-2 – o4h1z-3 – o4h0z-4
– o5h3z-2 – o5h2z-3 – o5h1z-4 – o5h0z-5
– o6h3z-3 – o6h2z-4 – o6h1z-5 – o6h0z-6
------------------------------------------ and on forever
************
o3z-3 + o4z-4 + o5z-5 + o6z-6 + o7z-7 + o8z-8 + .... ______________________________________________________________________________________________________________________________
h3z3 + h2z2+ h1z1 + h0z0 | i0z0 + i1z-1 + i2z-2 + i3z-3 + i4z-4 + i5z-5 + .....
– o3h3z0 – o3h2z-1 – o3h1z-2 – o3h0z-3
----------------------------------------------------------------
Current Dividend #1 a1z-1 + a2z-2 + a3z-3 + i4z-4 + i5z-5 + .....
– o4h3z-1 – o4h2z-2 – o4h1z-3 – o4h0z-4
-------------------------------------------------------
Current Dividend #2 b2z-2 + b3z-3 + b4z-4 + i5z-5 + ....
– o5h3z-2 – o5h2z-3 – o5h1z-4 – o5h0z-5
-----------------------------------------------
Current Dividend #3 c3z-3 + c4z-4 + c5z-5 + ....
– o6h3z-3 – o6h2z-4 – o6h1z-5 – o6h0z-6
------------------------------------------ d4z-4 + d5 z-5 + d6z-6 + ....
– o7h3z-4 – o7h2z-5 – o7h1z-6 ....
----------------------------------
e5 z-5 + e6z-6+ ...
– o8h3z-5 – o8h2z-6
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