PE-Heron method for computing square root of positive number.ipynb

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    "# Python everything, exercise:\n",
    "## Heron's method for computing $\\sqrt x$\n",
    "**Heron's method** computes the *square root* of a given positive number $x$ by\n",
    " 1) $x_0 \\leftarrow$ some initial guess <br>\n",
    " 2) for $n=0,1,2...$ do: <br>\n",
    "$\\;\\;\\;\\; x_{n+1}=x_n+\\frac{1}{2}(x_n+\\frac{x}{x_n})$\n",
    "\n",
    "YouTube Channel: **@ostad-ai**\n",
    "<br>The Python code is at: https://github.com/ostad-ai/Python-Everything"
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    "def heron(x,x0=1,iter=20):\n",
    "    xn=x0\n",
    "    for n in range(iter):\n",
    "        xn=(xn+x/xn)/2\n",
    "    return xn"
   ]
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     "text": [
      "Square root of 2 = 1.414213562373095\n"
     ]
    }
   ],
   "source": [
    "x=2\n",
    "print(f'Square root of {x} = {heron(x)}')"
   ]
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