File:Epsilondeltagamepicture.png
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Epsilondeltagamepicture.png (360 × 217 pixels, file size: 15 KB, MIME type: image/png)
Created using Wolfram Mathematica 7 with the code:
Plot[Sin[x] + 2 Sin[4 x] + 0.5, {x, 0, Pi}, AxesStyle -> Brown,
Epilog -> {PointSize[0.02], Point[{Pi/4 , 1/Sqrt[2] + 0.5}], Blue,
Arrow[{{0.5, 1.6}, {Pi/4 - 0.01, 1/Sqrt[2] + 0.51}}],
Text["(c,L)", {0.4, 1.6}], Red,
Line[{{1, 1/Sqrt[2] + 0.5}, {1, 1.15 + 1/Sqrt[2]}}],
Text["\[Epsilon]", {1.1, 1.5}],
Line[{{0.55, 1/Sqrt[2] + 0.5}, {0.55, -0.15 + 1/Sqrt[2]}}],
Text["\[Epsilon]", {0.45, 0.9}], Black,
Line[{{Pi/4 - 0.07 , 2.5}, {Pi/4 , 2.5}}],
Text["\[Delta]", {Pi/4 , 2.6}], Arrow[{{2.5, 2.5}, {2.5, 1.9}}],
Red, Text["Skeptic chooses \[Epsilon]", {2.5, 2.6}], Black,
Arrow[{{1.1, 3.3}, {0.85, 3.3}}],
Text["Prover chooses \[Delta], traps", {1.65, 3.3}],
Text["function in rectangle", {1.6, 3}], Dashed, Red,
Line[{{0, 1/Sqrt[2] + 1.15}, {Pi, 1/Sqrt[2] + 1.15}}],
Line[{{0, 1/Sqrt[2] - 0.15}, {Pi, 1/Sqrt[2] - 0.15}}],
Text["L + \[Epsilon]", {1.3, 1/Sqrt[2] + 1.25}],
Text["L", {1.3, 1/Sqrt[2] + 0.6}],
Text["L - \[Epsilon]", {1.3, 1/Sqrt[2] - 0.05}], Black,
Line[{{Pi/4 - 0.07, -1.5}, {Pi/4 - 0.07, 3.5}}],
Line[{{Pi/4 + 0.07, -1.5}, {Pi/4 + 0.07, 3.5}}], Red,
Line[{{0, 1/Sqrt[2] + 0.5}, {Pi, 1/Sqrt[2] + 0.5}}], Black,
Line[{{Pi/4, -1.5}, {Pi/4, 3.5}}],
Line[{{Pi/4 + 0.07, 2}, {Pi/4, 2}}],
Text["\[Delta]", {Pi/4 + 0.05, 2.1}],
Text["c + \[Delta]", {Pi/4 + 0.2, -0.9}],
Text["c", {Pi/4 + 0.02, -0.9}],
Text["c - \[Delta]", {Pi/4 - 0.2, -0.9}] }]
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:40, 9 September 2012 | | 360 × 217 (15 KB) | Vipul (talk | contribs) | Created using [http://mathematica.wolfram.com Wolfram Mathematica 7] with the code: <pre>Plot[Sin[x] + 2 Sin[4 x] + 0.5, {x, 0, Pi}, AxesStyle -> Brown, Epilog -> {PointSize[0.02], Point[{Pi/4 , 1/Sqrt[2] + 0.5}], Blue, Arrow[{{0.5, 1.6}, {Pi/4 ... |
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