ePOW.ipynb

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    "### First we find H (haspower per block)\n",
    "\n",
    "$$ PROFIT = REWARD - COST$$\n",
    "\n",
    "$$ PROFIT = i \\times COST$$\n",
    "\n",
    "$$ REWARD = \\frac{R}{N}$$\n",
    "\n",
    "$$ COST = \\frac{R}{N(1+i)}$$\n",
    "\n",
    "$$ COST = H \\times c_e\\times  e_{asic}$$\n",
    "\n",
    "$$ H\\times  c_e\\times  e_asic = \\frac{R}{N(1+i)}$$\n",
    "\n",
    "$$ H = \\frac{R}{N(1+i)(c_e\\times  e_{asic})}$$\n",
    "\n",
    “finish \n”,
    "### Then we find the efficiency\n",
    "\n",
    "$$ e_{pow} = \\frac{attackCost}{rewardPerBlock} =  \\frac{0.5 \\times H \\times c_{asic} + H \\times c_e \\times e_asic}{\\frac{R}{N}}$$\n",
    "\n",
    "$$ e_{pow} = \\frac{H(1.01 \\times c_{asic} + c_e \\times e_{asic}}{\\frac{R}{N}}$$\n",
    "\n",
    "$$ e_{pow} = \\frac{\\frac{R}{N(1+i)(c_e\\times e_{asic}}(1.01\\times c_{asic} + c_e \\times e_{asic})}{\\frac{R}{N}}$$\n",
    "\n",
    "$$ e_{pow} = \\frac{1.01\\times c_{asic} + c_e \\times e_{asic}}{(1+i)(c_e\\times e_{asic}}$$\n",
    "\n",
    "$$ e_{pow} = \\frac{1}{1+i}(1+1.01\\frac{c_{asic}}{c_e\\times e_{asic}}$$"
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