Untitled8.ipynb

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    {
     "data": {
      "text/plain": [
       "(-(1.61267^e1) - (1.68805^e2), -(1.79751^e1) - (1.85983^e2))"
      ]
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     "execution_count": 10,
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   "source": [
    "from clifford.g2 import *  # defines e1,e2, and bivector e12. \n",
    "\n",
    "split  = lambda x : (x^e2)/(x|e2) # rejection/projection onto e2\n",
    "\n",
    "a,b = layout.randomV(2)\n",
    "a,b"
   ]
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    {
     "data": {
      "text/plain": [
       "-(1.61267^e1)"
      ]
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     "execution_count": 11,
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   "source": [
    "a(e1) # projection "
   ]
  },
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   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "split(a+b)  == (a(e1) + b(e1))/(a(e2) + b(e2)) # the mediant. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.96119^e12)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "split(a+b)"
   ]
  }
 ],
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