Update examples.ipynb

Author: apozas

docs/examples.ipynb

@@ -50,7 +50,7 @@
     {
      "data": {
       "text/plain": [
-       "'infeasible'"
+       "'dual_infeas_cer'"
       ]
      },
      "execution_count": 1,
@@ -123,7 +123,7 @@
     }
    ],
    "source": [
-    "cert = sdp.certificate_as_probs()\n",
+    "cert = sdp.certificate.as_probs()\n",
     "cert"
    ]
   },
@@ -152,10 +152,10 @@
    ],
    "source": [
     "# 2PR distribution\n",
-    "print(sdp.evaluate_certificate(P_2PR()))\n",
+    "print(sdp.certificate.evaluate(P_2PR()))\n",
     "\n",
     "# Uniform distribution\n",
-    "print(sdp.evaluate_certificate(np.ones_like(P_2PR()) / 8))"
+    "print(sdp.certificate.evaluate(np.ones_like(P_2PR()) / 8))"
    ]
   },
   {
@@ -706,7 +706,7 @@
     "                        sdp.known_moments,\n",
     "                        \"bisection\")\n",
     "print(\"Critical visibility:\", v,\n",
-    "      f\"\\nCertificate:\\n{sdp.certificate_as_string(chop_tol=1e-4)}\")"
+    "      f\"\\nCertificate:\\n{sdp.certificate.as_string(chop_tol=1e-4)}\")"
    ]
   },
   {
@@ -745,7 +745,7 @@
     "from sympy import Symbol\n",
     "prob_to_corr = {}\n",
     "\n",
-    "cert = sdp.certificate_as_probs(chop_tol=1e-4)\n",
+    "cert = sdp.certificate.as_probs(chop_tol=1e-4)\n",
     "for prob in cert.free_symbols:\n",
     "    inputs  = \"\".join([party.split(\"{\")[1][0] for party in str(prob).split(\",\")])\n",
     "    parties = \"\".join([party.split(\"_\")[0][-1] for party in str(prob).split(\",\")])\n",