diff --git a/Exercise sheet 2/exercise_sheet_02.ipynb b/Exercise sheet 2/exercise_sheet_02.ipynb index 9754ccd..80848c6 100644 --- a/Exercise sheet 2/exercise_sheet_02.ipynb +++ b/Exercise sheet 2/exercise_sheet_02.ipynb @@ -203,7 +203,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -335,7 +335,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -429,7 +429,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] @@ -583,7 +583,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -764,7 +764,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -882,16 +882,16 @@ "\n", "$$\n", "f_R(r) = re^{-r^2/2}\n", - "\\\\ \\implies F_R(r) = \\int_{-\\infty}^r te^{-t^2/2}dt = -e^{-r^2/2}\n", + "\\\\ \\implies F_R(r) = \\int_{0}^r te^{-t^2/2}dt = 1-e^{-r^2/2}\n", "$$\n", - "which can be calculated using a substitution with $z := t^2$.\n", + "integrating over values $r > 0$ as it cannot be negative, and using a substitution with $z := t^2$.\n", "\n", "Now the inversion.\n", "\n", "$$\n", - "p := F_R(r) = -e^{-r^2/2} \\implies r = \\sqrt{\\ln{p^2}}\n", + "p := F_R(r) = 1-e^{-r^2/2} \\implies r = \\sqrt{-2\\ln{(1-p)}}\n", "$$\n", - "for $p \\in [0, 1]$." + "for $p \\in [0, 1]$. Do note that we can also calculated $r = \\sqrt{-2\\ln{(p)}}$ as $p$ and $1 - p$ are identically distributed, also keeping the argument to $\\ln$ positive, saving just one calculation." ] }, { @@ -915,7 +915,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] @@ -942,7 +942,7 @@ "def random_normal_pair():\n", " '''Return two independent normal random variables.'''\n", " phi = rng.random()*2*np.pi\n", - " r = inversion_sample(lambda p: np.sqrt(-np.log(p**2)))\n", + " r = inversion_sample(lambda p: np.sqrt(-2*np.log(1-p)))\n", " x, y = r*np.cos(phi), r*np.sin(phi)\n", " return x, y\n", "\n",