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| <!DOCTYPE html> | |
| <meta charset="utf-8"> | |
| <body> | |
| <style> | |
| .link { | |
| stroke: #666; | |
| opacity: 0.6; | |
| stroke-width: 1.5px; | |
| } | |
| .node circle { | |
| stroke: #fff; | |
| opacity: 0.6; | |
| stroke-width: 1.5px; | |
| } | |
| text { | |
| font: 13px serif; | |
| opacity: 0.6; | |
| pointer-events: none; | |
| } | |
| </style> | |
| <script src=http://d3js.org/d3.v3.min.js></script> | |
| <script> | |
| var links = [ { "source" : "JP", "target" : "AA" }, { "source" : "JP", "target" : "J" }, { "source" : "JP", "target" : "B" }, { "source" : "AA", "target" : "J" }, { "source" : "AA", "target" : "B" }, { "source" : "J", "target" : "B" }, { "source" : "J", "target" : "JBM" }, { "source" : "B", "target" : "JBM" } ] ; | |
| var nodes = {} | |
| // Compute the distinct nodes from the links. | |
| links.forEach(function(link) { | |
| link.source = nodes[link.source] || | |
| (nodes[link.source] = {name: link.source}); | |
| link.target = nodes[link.target] || | |
| (nodes[link.target] = {name: link.target}); | |
| link.value = +link.value; | |
| }); | |
| var width = 400 | |
| height = 300; | |
| var force = d3.layout.force() | |
| .nodes(d3.values(nodes)) | |
| .links(links) | |
| .size([width, height]) | |
| .linkDistance(150) | |
| .charge(-200) | |
| .on("tick", tick) | |
| .start(); | |
| var svg = d3.select("body").append("svg") | |
| .attr("width", width) | |
| .attr("height", height); | |
| var link = svg.selectAll(".link") | |
| .data(force.links()) | |
| .enter().append("line") | |
| .attr("class", "link"); | |
| var node = svg.selectAll(".node") | |
| .data(force.nodes()) | |
| .enter().append("g") | |
| .attr("class", "node") | |
| .on("mouseover", mouseover) | |
| .on("mouseout", mouseout) | |
| .on("click", click) | |
| .on("dblclick", dblclick) | |
| .call(force.drag); | |
| node.append("circle") | |
| .attr("r", 8) | |
| .style("fill", "#3182bd"); | |
| node.append("text") | |
| .attr("x", 12) | |
| .attr("dy", ".35em") | |
| .style("fill", "#3182bd") | |
| .text(function(d) { return d.name; }); | |
| function tick() { | |
| link | |
| .attr("x1", function(d) { return d.source.x; }) | |
| .attr("y1", function(d) { return d.source.y; }) | |
| .attr("x2", function(d) { return d.target.x; }) | |
| .attr("y2", function(d) { return d.target.y; }); | |
| node.attr("transform", function(d) { return "translate(" + d.x + "," + d.y + ")"; }); | |
| } | |
| function mouseover() { | |
| d3.select(this).select("circle").transition() | |
| .duration(750) | |
| .attr("r", 16); | |
| } | |
| function mouseout() { | |
| d3.select(this).select("circle").transition() | |
| .duration(750) | |
| .attr("r", 8); | |
| } | |
| // action to take on mouse click | |
| function click() { | |
| d3.select(this).select("text").transition() | |
| .duration(750) | |
| .attr("x", 22) | |
| .style("stroke-width", ".5px") | |
| .style("opacity", 1) | |
| .style("fill", "#E34A33") | |
| .style("font", "32.5px serif"); | |
| d3.select(this).select("circle").transition() | |
| .duration(750) | |
| .style("fill", "#E34A33") | |
| .attr("r", 16) | |
| } | |
| // action to take on mouse double click | |
| function dblclick() { | |
| d3.select(this).select("circle").transition() | |
| .duration(750) | |
| .attr("r", 6) | |
| .style("fill", "#E34A33"); | |
| d3.select(this).select("text").transition() | |
| .duration(750) | |
| .attr("x", 12) | |
| .style("stroke", "none") | |
| .style("fill", "#E34A33") | |
| .style("stroke", "none") | |
| .style("opacity", 0.6) | |
| .style("font", "13px serif"); | |
| } | |
| </script> | |
| </body> |
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| <!DOCTYPE html> | |
| <html xmlns="http://www.w3.org/1999/xhtml"> | |
| <head> | |
| <meta charset="utf-8"> | |
| <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> | |
| <meta name="generator" content="pandoc" /> | |
| <meta name="author" content="gpc" /> | |
| <meta name="date" content="2014-05-10" /> | |
| <title>A simple model for dynamics of beliefs</title> | |
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xaXpygKB5dWVlFrb5mQOydwB7i0J6ubFjh7npdh1XXdKUdEAmoj3W5Db4m4QE1LVCapO1XgH2D%2FkB08JF83SNM9ZhZf5I9%2B7Rz8J%2FI3IIfrMb5LHcjByu%2BUvGUKxQ%2FkcaLYdZ40f8JWOkw%2BA4iEBtlYSmddP1HFw%2FdKtShd1YQrncW61ZeqsIAcmYleEIEKAhx1ry8ND6aFh%2F8V9VHtiPdBPGObFcRVTzQgcz40RO7WEpW0ba3k2z3i6zBvlL9xO4ka%2F1EVnLTSa%2Buo%2BmkNzrwWDyPcz4lWOAxAp2%2BTrKORXoPGvm6d5aKpzt50u4573rAOfhP1CUXfpbjl36l4XWpysmXBCr6PbGqqsTnSRvReJFj4Xl9rvYfHFko%2FqPrb9YYEpV1CsKxTiSrXhisap%2F%2BC%2B6uu%2F8CZVz1iWlY7fGdnKxd2eM7WS2lcof2ANfjrBHRsoomvoE%2BuiF%2FpXpsCFnJYVZIVk7UsM85PYeLXYofPYf9H42YsMdtUq%2FMTd79Ho4bf2S7Gq9PVRxDC6lKG1VpVBV9cvFXGr6oVycSFZ%2FauXWquCnKooTpFvcfy0YiWVX%2BI%2FD8UOPXvp%2BE5%2Bom3JHt0IXP6MxS5U%2FAqovYd3l62%2BltAxkkq6q7T7LR3xT%2Bcz8gICtekEZU28Hq3d9JkEXhcfclufMmmZusgqh%2B5ww%2B7k3Vwcd9XbHh1JbiELt3Fu67QYbvmRs%2FCg5by%2Fr3TnRlZXhu7ijl5o6qlZ%2BrQrpkGp3PTVTZFKpwyqWabnH%2Fce5T6T%2Ba%2BNhiV5b7vOiQWG1XNvGNzngqewJWX%2BO7%2BPupIVbDas6n8HPju1ZMXmrvkcJ%2FhQ1Ya89RaqlV9P%2Bu0DacBdfrcx5rlPXMqW5%2B%2FVv8cfLHuP4t%2F6ZgDdhPFR8DGRmRoMk6R6Yc9MgU65TdN%2BKH32y1gyJruJn9x3%2BQ4%2B1zUvkZZYoyqq52HfJR1T3OUca8Ss9VrVhgoR1nngEaUXl%2BEwnEj%2B5Lg7fIsNx%2FsEWwXdT%2BI%2FD8UOO75zqXdKad2WS2XFS9L3XHH%2FH3m9r4nePnO%2F7Ys%2Fk6qErLYy0lJ6agZeeN%2FwwccYGT1QoEPwJqvCIveWiGhaw0jqw4olppFhqa8b%2FC%2BdTSMfJ8SlX%2Fp%2B918A8%2Bor5fxP%2FNTuvM3TtoeHe%2FThlVC9NKslFVNwNc6blq86mEHcyuYlSiOqOvmLPKAkLhPzbxCP6j62%2B9f0qwwjHOiiWI80kKVVktH0mD79lpNHuEPZ9yx6Q3iKpAKUiIS%2BdKK4ZmEpg0z1gZ%2FjhD12TDPydq2A6DMfTF%2FCCSlRZO0fLXPJsLM9o5%2FJ%2BS1UU8jHffrIaAVo2H93qXRX3g%2FV5fZeaqtAxwpeeqH3Trtr4z%2Boo5qyzjqus%2FuvixZ5JszVn3T9bAuDz2jM54qngC1XyGupJhFtiO%2BapVZZeFqvBG9bLT64cJ8zEW2juBk3sMRUbTMA9ggQX%2FxuNExVKRpvwrklXWFA5ZaUTl2d%2FRNOseP4pZYB18QoGHvnMyyNx5aXCbSf9x47s%2BV9Vv%2FQ2nBFacueFU%2BfxH298aemcj%2BAollosRz0QwI9ygM56qmBNbdKZpA5nYorobKAtV1yzEXc4xMjWQ2Xzu%2BE7FzK0BZnfYN3ezIOaa7cYL%2BL91Kw6%2BwooX2cJdqES1Yl3fwkumIJzZeGJX6gvVmzcdfOOV0JL6h1jjlZuVAa78e1Xd1scYiWP5mRhHlc9%2F9PFYhwhrwqz%2BfBOLKP8AaClJVcxhKRb%2FbHAgM5D5bBD67tR1UFX8XUSS8JcpqS8QN340V4kWuHQHNRnlvBhKfbH7Vr8H6fkKWPUwq6eGeuYgy1ZNqcPGOz6%2BR9SZ1V7of6CvfPi4Z0Y6zuSjamFa6bv2XhUpNzRDI2ruGXdyLNC1U%2FVs9fxHH4912DsxkOnMds9tPgd%2FPNEpvw99qvKrPL3r8FZaC3Vl26BE558ratV5h5brrxqrSjZWe2oL%2FbGSS62BPrSGWgP31eFR1ZYP7%2F23Jv5tWjqelgG%2BMe9VoU1C5X6i5fIfCh7GYRjtwIM65C%2FhnJc6S%2F9XnldPHdKgJoWtn6q6WQa0qq4yZuwG%2BY%2FxN2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYseVnpcgqGjNm7EYTNd1MEGK0kaUITo7BMiNUZj1D6RBgIRmWfxAO%2FFpHr1Vl6qOHh2WCxTJWwxWpzzycMW1rU6TJ5QMexTRpz5cqLpp7Tvw4WJlhBGp%2BBo7p79qA4m5Bmngs%2F5fXJWZFOsN86VmYRFb3agsKnuuswqLabGc2wig6q2t%2BjKX3TfZN4tc1P6Y0CV1XT7c%2Buvjor4tXpcgXo5daH5QVaUf8fJhRy0f8ShZltOdLW1lj1bW5cG1qRVxmL77HjjgmvE9R%2FzPNIBmL4pz2%2FS4zGXS56nQyJ70tVuA43%2FnhhXCDWLVTsHLHWSNKIav78VHwuOp%2FIIMipCx1YtdARq2zGvoUS986vnXcXu35aXmpqlsfXTwuQ3eviwCdg68rVx9cjSm%2F72K8qp0Ka69yLaEXBOWD7i5NogZ0pBfagNRNqJFxxsqEFfWPwLL%2B09uwHqe3jaYjJJ1eWCSe0SKcjaeJvbvxVmCVVIo0mRsZbeHSfvd3JVC1cDG3mnyFKyZVeNRZBYmKOKvFKsJysjg6o%2BzmrAAX9OBrN1HQg9KAVKq66wPik8r6uPCT1iQBH4jbAtCO9c7Gmb8KgVM%2BfqdTH%2Fyu9bWEasxz4a06Nd5xLnewJl9aLgT0WD2Vqon8Ot6IYncG62CUwRrSIF%2FgCGtkgnsnosow2zrYZMcO3HPU%2FiPwqxhxq40cvmkhMjI00%2FaV%2FG5xiVySOYQtkapLVRdU5HNTVb3sG3VWD28VlUA7vFWus3rbPl76oT28l06y2%2FaVj6ru%2BnC8vD4Cb%2FWFUMG%2FT4XH2hcKkKBASfsT6vpA4Buj1ydHk5BqNakbb68qVa4%2BFe7kXqsqkWWbd4sS5D7Nq8qnh9fhq6ASUbCGlDUMzYSvyueGPCTnI541tkrS2bvxqGrS9jZl7inw218N%2Fe75%2B2RdsdMygrCWQjrAh6pe8igqsjo4SsrB0VkV1VPprIau8tLvS92Xk%2BgMXVU0X8ZyaqQIe9z14TWS14fjYceRL%2B1585dWnQL%2FP5PsR790%2F%2BRHvwQRrA%2FU9YliQHhQVZ%2FkNwJPM6d8qumNqgkP%2F0mw8lE1zh7dUfyzR3fECSoZKDuzd6IZZrcwKtdQ8FVVjzwQWaTGlIj%2F8bZ2hrK8%2FmKhznTC9jV7MiHrLH2pir3s0qaWj5Q6KQe3zmoyT2uZzqoVE5InEAzWijBJLnFcKMQlb2pRH8sWpuLEltWH42E86rbr1I2LlGV43EFndIv7J6NbZDvXuNsHHvmrqvpgcshjZLvsG56mlmoIoIpQuUZV3SSUF1VlSr1JNtlU%2FLPJJlp9qqruehS%2F3vUolXr3DHZmdah6zyC%2Fm3sGfdu%2F353R5d2ebHiTzlX1GloX7%2Bisiscu11nlsp9izM7nFX8lu4aOEJeoD253wLdAkNfHqb%2B4Uzne1nzFunMl2j7LFl%2F1byOn%2FJ452FykRVV%2B%2FwUv3dqB93QSKHKdW71RtRSqWnUDmQP7T287sJ%2FL6B3bIU1yVbtd284wVNPqYwVwRMWR1T8ALqz12mMbzupQde2xzeesGEaAsoCZ%2B7I7D5y8HqqKTF%2B5qaqrs4r5U97TYn24Ui%2BMSl%2FL5w4rGd%2FUaKUyJBf1YbWjaZALrVXVx6m%2FuFM5Pr%2BN0IR9NxOqNnLKB6m1enX53u354H7lm700rf1vxKgKMUqcrYAU0Qq1jF6xzJjjwH6jGB6jaR4AQ964gTXA%2FzUUPFDv2r6dcu8vxEe%2BHv9Z62vgq7WUlzWibUsKgIsTMuWnqp7OqjUswt%2FeP%2FExJx8CD9Nqw5NRlPrAcBdU67668PbGCiq8837RST9I1ded8qspOrT6urVcqfn5%2B%2Bj4So%2BqOjPn0bQXVUcVbylY8MQuzMOLvLHqKgJ%2Faotc974YP33f44mOxUd%2BQXtZI8ZXERIvM6rq6ay2vyHKvOOP%2BD3f70P2ZwTFdQkq1P71dV%2F18N6uK6tRZeuDNcJ3rzr4ys9V6Ybqy0upij9VnFeLGzFqXMfGUzUvHTyrAXo3UF7W8PeqPBMsU6QUvxVqiFVVOPzcEKrq6Kx2LIoyh1%2FG74dfFt%2F7adrru4qu7qseXp%2BqpdYHE1IDGTUeXnak9k5sPkfXuV36Z4X%2B9Xf2vHMO%2BW4LelR1Tz2KPy8Pk9Pb%2FXrGsmM%2B2v4Gzp8YYrYjN9a7Y2eS5mu%2F%2Ft6bVJ1VlwJqkPepKi1UPRVd3fro43V1fa%2BjPt2o2k7QrQ3Z%2BA4dnVsNXeKUBzolL1%2BbDK7rU%2Fd6XTZELtRtroeDrMTsRDdVxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjBeb6o%2By0Pt5KEzRo61BQha4rq6dBmzsnnUdfrlhLodptTKuFmDVJLn0sd0ZGdafebSRTli2lRY0tO8OVCkMzSS0VYAfPQuvfUp3VeDG%2BiNKTVLFK3ZU7aM6KnDijC0TqWfiqSo2CGxdvO7TnwP7e2RBZwpo1jB9Nss3n5Eu3rMmwTX%2BdtTuaqr4lULqUjgBkOUvuaJT4gG7ntEQYW3qvxWdWaOgsrn8SpSdDAxm6CnAhXk3WKLNXSzKqWKU%2BVVGCxCXi9rBegxCbcDgJy73WXiOQzpbYhBUUKy5Al9TxZ%2BpD6nolyZQaBC1QcgsKloK4S79Y%2F4gKvIWCpm7TwRa3Pr271z2L1ZTe0ajwxWVTFnZSl9cVo5JMl3qq8r3WNSU5VVFTIKKhAlyMV5HVq9nKS9X2J9xomXApF8O0Ckq3lHKYaKHfDZ7unU0wykYMos4oZh1fpFI18QcvyS8vpwJH7%2BQrGPOqi%2FX%2Bo7EOtngJHDEi6L%2F%2Bs6hlU%2FD6CzWFkAqt1jpU9fZmf77wPSuKNxTJURXJp6cCXIyXk7WyVEWioaCnc%2FzgvKzvcsbf3lmuczj6G5UcJoZr7ez5%2B7b%2FraojcFPVijWdBE3gs1SqYquqRNyKW05noTVR0lxzxxrtADVQQkBb8QA4yaiRVjGqFKqipK%2BsJvamNFdzeR5bmse%2BCp930lWAvfEyslaWqrbu7DcFwcI3lIBq78TU0NTQ3olkXn5ZZrftQ6mrX4LAaDthLszH6iaGTa4KaZ0gHqcWFMJVlqq6Gha6AapXcHpzA2A%2B9y%2FWIqTUJ0%2FySZ324drbsueLHBt5BYmKm4AEFqw6G89CemT1w%2FuTtfJUjRf0n3HCo%2B%2BdPdC5iq1iBzqFgrAi%2FL26%2BW2rL74B0S0vUNwd91fBRFHzx7TNkOL%2FNcnu%2Fh83n6q6Ghb6qhf6AW3lAmD0F0j9pR0lQZ3a81a10iHJSLzUm9e%2FpRIXtfdACCJRo7YAeuPFHN6LfOvfklTWB7%2F%2BLe%2BzKk9V%2FV66%2B9KmNvy6qa37EiHI7otDd4QCa9F8aKImBUhkNY5MRVngeRKRjifZxqM3n6olvSrTPEMnQK1sAIyEG5liIXcATLtXVxooBCX40ttDEN%2FmjzQUr4MXg4Hm%2B6O5M1y7%2BhSTD4SzpPvQeOGt9Pq3vM8qjaq9s6e3UUa80qgahTzx6W2nt4UfjhK6g9DfgxxnP9%2BJzB7D%2B6ikuB8SXrEPKUSKfYZ731WOqtaYHXyNUQitm8%2FVPUMnQK18AIwZdXcATLvXglGwRa89kT%2F%2BeCvWeKUNIr7b%2Fpdn%2Fd3kUxHVC%2B9P1NKoauvk14gNLtTBZnFqW%2F3om1ngo8BHzaT9Q8Ps4eeEk20%2BB3vo%2FD0prRSwxlqvJdmdv6dQCbuMB%2FoqR9Xm3F3rB8CVyAAvlwC4OANMFwHUzQB3gbokPzh%2F%2FPFNuSlcxK%2BrEeSjELUYLyOqN1WHZmQ3Jza0EBtcEGgx7wp2AkmSGGaURUlymJjHPZB%2FvTH4d%2FbcXPJXS9YenlZaBcRIEBNL%2FJxn%2FlqJg82hnSQGbaTkeLeLydIgJQWcyw1%2F3Rlgan3UVHVUHIGB9lFKWq%2FoKkg%2BKlHdeGtMRlS%2FEMAf7955hpNV1RTFfwKhLYYpkcO0DmK%2BrmlBqNnzfHFgwb9GrQUbJ8GfH9QrCZjh5zReUbZ5C7R4i85IKZIe7iPEdF6tlT9AXV4ZYEHVUupTiqpxGahqZ55COsVyPGjMhsoZUhVuEYUC1cp61BaU31DOpsspEafyWxUrlW4L6tJN2VgB%2Fkghh6a0uX8w5o3nSQ%2F3gYmUcgacyw2v73NLz6HVpxRV41Iy8MtUCVj9ZwDGtNqzRf0TY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8ZujsFqucCyqMe0eRbGjEmI2nhR%2FHG6FDdmTYPuyzRFFsxGn7Euw%2FqXMzQ8LucGaZThkjub4WXQkmmasrIxYyU5%2Bbrm7ksJ6coR7obNoDIUgX%2FNSo1DlOxuxtV32QT8D%2FgMRcKk%2BWOQRvmKgrSGoRNgjuA1djarJcu%2FXfgzuKpUq%2Fx57MRgjX6dmqhhorKyW1sW20ofqz5LDw%2F327dsPDLvLTS%2FWYrnS%2BJoZ1GwrvZM08R4nFand95Qtux%2B0ckDH00N9c6mvpCPkbgwbCAzmsaF1mHFiklUiBnIgGh3SqwTbbyorOjBqK2ZFHhJTaTVuaW4fJ2rVTd4y4ZTvbN%2BMp0C35UdP4prB1cxaw%2Bl%2FL0TQzNd2eM7Wa2VblPeAZe60pFBF%2B0fZbpYyll6%2BDgsJ4J4iTwNEms3SxV4kZ2D3sJd1vkks6V4viSOdhYF67RnmFQjd%2FuTO2%2FwH8n98sJACwjIeqFfVtDa923hbnyiHUjWte%2FLaB3l2FpnLV5UQW6rry2HDCmD4JavQB40nVsq1Dl4S%2BPFxovn1sGysmoFPsUaISwHAaxWdMs6Zfmw1A%2BXwnESbjglb2gUssrpU4QoMuhcUYfLXulhaWfp4fEa7bhGl7gzgLN2s1RVRBlWuGySUcjqhaesV6Vj3e0ZJZJV4OWqZY5xqTSf0p3Cui%2FtvlW%2BEA2lJIZf5p9RFSHC5LQ%2BvLX4EcnVdNd86SDXLMibAkc8FnTfQ%2FelwVvUeFRYbWZ87AO3PKnET9qhr01U2QJ8KHc6zNzjX1jaFQik0%2F5qN3ewtLN08bzlEyC7CkFY382mqnDZJIkaXnhaq1Kx7vakkdXB62qseJTuFObWYPAzFD0R4l6xD%2FEcf2xssSvLl2W7H1HiG9k4HGc4VguHkSv%2BOU3L7wHrL6OqwAeejwCWb%2BgxNHNunWIUmwyhHut0WNncjRfbc4r9yfzXdkXAbCtAXIySZbgcLOUst2PRruI8pyiGwmn1SFZZqnKXpVHDC08VN6Nh3e1JqZE%2BUSVk1SNqVdWGs3w7DEiv2FtiyMLB7rnOrMcjysrG4aEZHKvzAixX6XM3TlQZMQR%2B3dTpbRAmx7uyeycgXK2W45%2B%2BtwuSYu1CS0oSvm845SW3IQ%2BYhYAklapRl5uoz2o6qYcvplJYKSRTeaoW3rN%2FDOSNp%2BsQUrCFRFVnX0T7g%2Bi7psZKz1zR%2FeoStapq306uqNaWU1U7frc%2FtvdPibxomHNz%2FRdk4fXGo32TDjbOKFQNPBbN1V%2BeNMnv3BJiNfj11BbWIKNeTguq9vhOjCU4UWVqRrw3dG%2FnpO5NedvTqepgKWedW6eHL6bS0MzH99x8qrrvwT8G8sbTqUrB5uV13Eenuv3jTO%2FlnZWOF94vfz2jQ1TcoGhkymlmSLrU%2BGPHnoH55tniRzT2jCy87vjz4fWOsmCSRNWew3sneP2jykdfcC81%2BOKJQG0gK9ckalbUSKi8ijPVYQ8ihZAqxakcLOUsoftIv0rSta8PyLiFVF5ReaqibyZJw4kXnkpVGlZ3Vx%2Bn%2FcNM52VNuPh%2BA4%2Fx1zN0oqK9kxCPHLK7QanjNvTO2sFyzN13yaTKNpyNstW%2F7b8g0PKdXDBIwEwlTKoaWDXqkmOoocbnk0CgSEjDgwRai7p8Tlbcyys3V02rwx57%2FK2mqB4XY2ln6eKF4Cq8zuqkyLhVmqrcN2nDiReeGqvQsXqKiPpk9SAqzAw%2FFa9ndOTHWPWR7Tju9cydT6mwWM0I7rA67%2FRdMvzJjV3ZcF6wuCsr8sc%2BwfgTuEGU6NtW2ptF7Xvi5uELkwK0REIuyCaoHi%2FF0s7Sw%2BM1Np%2BDqUHjcnhZI9yVFvd54Sn0o2NLURR0yKrzsqbgfq0AzvC2%2F63q9YzHxSEg7Jk7tkN9HsqD7p0YyHRme%2BY2n4MkTqf8HFZzagv%2BuQF3dXCYWil6xYH9fPotlHcP7Gcrbh7eTVZqxi8fZCtVj72wlLMEyn7Nr8Tb6sUdsmmNl%2FM6X2l4mqMLd7XqaHGfg3I%2Bqemngy3NeKvrvKwput%2Fdt9p50MZSBD0hIOyW08gdBsOsOgX4DopKL2zMFMpJa4fUDsNWQLlu5d0VNxfvNDc14%2Bc4q1r12AtL0UrmKP6cVXiaevGNMXedKV7qoFyf1KOeBvZ6yKrzsqaoY4IGqKkyZszYjeh2qiuHNmbMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmLEym65O7%2FcNb59Dlp1cnvWvuA8FoEYxnda02A2oVVr3SlbMmlyuNM3p9MYZTaf3%2B4YXZ3EZMXp7JrOdWZ36VAp%2FoyzwEUhYfkStC3XBXMGdZ%2FT3fXj%2BPr0rWbHAAuhkTt7Mrobvb5ETbA24WrRYK0al01sani9qw%2F8rU34yL2pW7vK5OPNKG7tyXq3b7%2Bges9SJXQMZSn1Kxe%2BdoOkq2488o%2B0yGtSwJqNK3aPrpWoUBU%2B19k1A4tGvBCMw4BPgpU%2FfW4n6U4nK97ewh4ZY00JeBg11evllhR6QXKfXwbudXYXvnf1kE67f%2FGQTLrClly%2BEoNR4WEUKomYndtHrT7tftKaTHYtIiiR76CUQO5VrGOd0jzfegd9tvIPFkXzy%2BgidZHthoQbeirVeo9QfhcebFqLajkWnhjUcyoum0UJyXVe3%2Bqw9qF%2B5mtHDU0G8E7uGZij4MAggIB6F2W8eVdc1xxdxfwssH%2BsfX1zXbP8CdXqdy6p1eh28%2B5Dju7K49g7Xb%2BKaPRxZaeX3zn58D6eICg8SMCusPVaM1fK19pTyhQCoSpfYqguz3S%2ByBpvejQ%2B91HpN1tBc9xh6QxTlTMP%2FscNbVfUROhd8awUqXjgitpBcV9maXA0uqO9YVGpYgTULzlNrvUYZi3VcHZQx54MgrZ6XcSeO9m2%2FEsSjL%2FEHUb%2BdlFXYlaMqq0HJvUROWteuP1%2BoGlsUI4wNy400%2Fjq9Dl4canzCFRY1nUwQykf5rYEMEnx8AKmtwsO4wkJXezZbdVFGqb%2B4A7UuMYq0JHFGyA7tObTHAodJSGcpXPeY1Q7N4J41sOofPkPDfyPHw3X2WAHcWqHpJBGfIyo8yAYZHgPfkKtzUsl2uTFUagQ%2BSri6bRgRPiqnq%2BPGI4miKK7pCsnpW0amaMRz16n1NfUc1SpqUcq8liaahugm1%2F0mUOqI47vniptMrtNbGt5RlOGqMSr81BCrhyCvmjukGp%2B0FY9YfdNJlc6wwFsFUYQ%2F3nEQqFG9Wg1I6B7z%2B%2BT33ZmV1Qfx1p5WtopFc0KSBLxD1Fo5vulKVEu2ywurogaX23R1gZ2KGXChq8u3uuoLL6lP7%2ByxHbQsLmuhEFVkiXODT0hNZx0RND0tKe8r2L%2Fo%2FZNoMsF%2FuU6vg3f3L3J8V9ZRbj23DkdJVfkBO5OYJ6oSjweEaiys1Bl28O5m8cez%2Fs8G7Zlwv2WPrKj6JBP14LrHVgxHVBxZ8XNCWh%2FET4cxcOdqOgT8mJuocvyxHY4ibqlUVVNDZ5ycGnILx3Zlp4akQezbmLEYmcKYRugSQyvVliOLW0qWuPJUZf0ndjkt1DMHCUTubajTu9R1%2FXV6Hbz7kOMTtpg%2Fzt0wu5UglG%2FL%2F%2FcJotLq4w5o1XgR8Kt1iVn10AwmkxC37qcdi7tflDU01z1mtdDAMDeH%2F2vXnFXVB%2FAwh7ddEEQ61PjmguSHHM9qsWR30C8XHiue2lCooUdVVvPkU47nPPmUXDKoHXWmu2F0tGMa1V4IelncUrLEhW1D1CvU0je0Arz%2BvCOL4wYsfPqBOr3FaRaZTq%2BDd%2Fe6KnwUXnPg3G3lfJRYPu6WktCqj1793TGBXJcYI4HB0825lAkmmKSPJad7LDLAuFWIqj6ID92OLghjMAGPNYF62COqCm%2FrZ4X2TuCj108rqalRyuyTrRCS7yCCrhCVA6IG8xHFLM7My5fFLSVLXPm00u5bU19g%2FXmKqyub%2BmL3rblfOYrrNJ3e0vAio1Wp8iuH586OYXCSfbJJrbjo6B5b800sQqqPLt5OdBHxnODHd6oFSJcE2wRqlOa8rIUH%2FKxFiQy675z6EoWeTNLNEt%2BADDBEWCipa4%2Fatae2uJQLhU5vF1Wn93uGF2dxdXoKUuged2vVp1J4JxDWdRpa4Fua8x7Z3jMnn6V63Xl5srjXkyWuPFWFjmhOW7mm6K71dHq%2Ff3gx4yBjl2P9q%2FVdRgvdr9VCqCJdAWFbSha3mKz6RNW9W2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzVgaDZXN7TCsYM1ZICw1dWVC6QQmPPvtzn72m%2F6DGlfrg%2FDNqWUZc2dpzuOL3PW0xqhwm1PqMVtkZlcJBHsm8P2tcK13GNnkOD%2B%2FvvpO%2BHbsxisPqZ3TdT0lXFzf2Ye9sfDEIq%2BytySDoqfXOxj4kXWUMnTfI2tidv1evSQi8FGU%2F3qbRAUwjleD%2FPh18x%2F%2B98wrtj9KtsQi0Dl3a0gpwsU01Ta0CVY1kSfqyoDYx7f3UoPtlHse8f1m9R%2FDw%2Fu67aO1PoG6H1DPn1a1SOl4QFddrXydZdXVxI%2Bzh53D1IwoQ4kq%2Fh5%2BLqB0y1nilmfHrbD7X%2F09qqq4F2cz1D9hjWZ2y6aaDrJ0hldqhK%2FBzWi%2F87eze1wtEkX3P4TKeoAZBHINZDW2ZlK4AiHASrmMPI8Y8J3i7z1NLeJafYOWmKldbLGV8kY824rdC%2F0gp47aka2qVyNlwmbtEvlUoMnF6eIeoOenV0skqdHFhmS8s6hEKDBIdWlu%2Frwkwzz797NOop9acFxXzf4yBhXhOKWbvxIP7w0Bx1aiHzdH%2BRlXVnb%2BXdxwYKLcXuGE7y4scE%2FAPPtJ8VIYXY3wC1HcHMqDG9xK1ZWlUXSrmIV9clVcFBBkPR3sKjw2n6F2BrF7Q2wWdBd2F38laNczU7bh0fJGPNs5vWUjIzsjr339h6b0Ov6zb%2Fv5PQL897auEuMQLbXleYWvkvxO6uPFF%2FC6%2BqNLFdfSL7nrgrgccXSPZpbmgaFd2%2FCjr7jrULJUd4zYeyfVBk%2BvfiUrnwo3vRmGcFuLeXAsI4oJ3qfhX1%2FSmZXg%2BdqE85%2Bs%2FfP2HttQmaV8WvnGGeusMz%2FCUyV0LZbJSX8Q3CKkRfCYgYxoqj2sV1oA0ZtTxyCxKIKtVl%2FjcGV%2FEaJP4XDEWQaSE7u7oGvmVv%2Fm1pfe6dVy3%2FS2JTFzPnF7n6n4S1FC5aHLDySp0cWEwr4NmVOriOg%2FfTVX5xTsWcdQ%2BtWV0i3W5TdnPWcPWQRE%2BhhiOgOGr%2FikuFCz5oDvJpu9DAtpiHXfbakUHKfjUV7DivsUfzw2FxkbTq0D%2BczSNomUUojZe5LVROW9JfTTIeDz7k9Uu1UI%2FopZC1cLfq%2BsjiJokkRXlSHjsBi54OSyVzGEhrlIIVOhwZxRkNbr%2FiaX3%2BnhCt%2F1lio6P%2FAKyLkw3A0ClKu%2BeChVBc2R1dHQDjwUeU%2BviVlVh4IsHUlV8lo9JCXgYR7YH34MkVK78w%2Bv98a2frJvCG%2BudFSNfnPlJRvdNwoz2X1j1QGb1b%2FfZwlGwSUTN%2Bn9Jsr5JP3z3JY6%2F96Uk23Icf%2BqPFwmlnrkZe5yfifTMRdTbTsS43Bt33pXzsnEYHXHpP9UD7eniRJ3YvX2tfQdvlS9g06OqQ1SxaQmdrPE8Uf1Se1x5WcfpxweK7xRGwZryURVKa2j7yvuc7a9eP1VzOtlFh%2F18HV3c1vxWA%2FIAFSlafEjdanNX9uHnAguRfOlIJ3981O5vkYL78j1kfIPfvGoggyPi%2BVTn%2Fw7aJZ9P4cgJVwj64SGgTiMex3fMMVtpf7xIKL3wU1a9%2Bdzmc6z6hZ%2FaWz3UyYiKgakY4zefs%2BeVMf8HyLO%2Bhf9UXUEgR9Tmj5vssv0zwJWlqkNUGNe7%2BWxSvd2VQ1Y5Uf0cXFYj3Jug8E4H3tOPavzLhzG1L%2B5zjmwAolKVz8kLJV5zMZOujm5V1WrGD6So%2BCy9eH3%2FhWaXtH9X9nxKdUvYGHf%2Bnq1wlO390OdTvbNtLPA8nII3Fg881gaP3%2F8KiIcEyLuv%2FxCdhdVbB8NSPCaUgKJw%2FQf3P7gf7wbJJ9vvLLDQmQWJ745czTsO7O%2FMBhbKNapiSCTkM8cjuBFRkzQDXOy44hn4X4HvpwcZ1z7IL6d5d%2BNPug2nckQNOakf7wSXF1lVRF3q4JgJzonD%2BqSiQHPK5ehd2cG%2FKydVYUx92%2FsMaIOacsxVsRXd3%2BcnN7o6urpzVXxrGylI%2BoBAp%2FThiPFo306%2BcR2eI3%2Fom8%2B1wTiM73mty63gWLLHz8WxI%2Fa2E3f92Qq0MSGV7Z2JxhdSJzfi52bIdePXkxu7sjCK%2Bb6%2F3XAWpCFXiLrDllcrTm3ZcLZco6qgmi2HaW9EJM8Ao%2BPyZ%2FrZoMuFJZ0l77zDkPhtyu1WgF2UzLGcmXLhdyqyylrefb%2F5eZsrE0y7Ck6%2B5G%2FndalqBdp9znh0h%2FSVk6KDKWxTn%2B90dXH1qNp4sfvS6W2gTgd5S8xVqgWgT25EYoNoZn3ra7w%2BzjYa3g%2BddcBmVO8l%2FpD4w8B7h%2FYUpiA88ZCuuAeS%2BtsObWoDvKRGzR9jwm1VvhvDr6vsCKH5Y9%2FyO7B3FYrtOJ6CQGRHuUZVQbX8Jo%2BpgiDJ5xrq0cs9bvBx1TVdaVC8iAj5fad6Duo6uWvivLaR3S28xMqTuwnOmmwqJ1Wbj3rjYXirV4W11A5G1mRaurh6VO2%2BBE5Sk3Mrkogjq%2Fn4HiB3A87AemdpOrewTUIHhMBx%2BL%2BedI36TdAN%2FGwjkKhe1idHmd%2BjjCpe2nTbe42c2NU9p3JF%2FbnqUpO6bp0OUfkkYWRKbMQwMiWfrlTail6KhNTdATzTfmenP9ZP82YqVdde88Y%2F%2FJw6rL1OooqelK4rm2%2B2W%2BBQvlXSc5J851GTu1InXedW8xotTClIDZ1Lv%2BSQng1tWcvVbrVcsb80fVmp61bTRL0LzmjJzfhS8Km66jtnogXVLan7JxCFM2HXoeZNqAxErWijfQcftDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxoz9%2F2u4KsiaNO1gTOYkgWLZCarynNZV6uyy6zRcFwRkdJzX1iee%2F64%2BhRBIyIR81S6W3CtZKy%2BHR53neZrO8zLFT0NXdhn%2BH9PyuTN2Gx0sqydraWHlz8rYyAyt9KVXs7%2BJjBQLTzbfr0X0PUh2BQokTLBsuXhJvoED6LqNFxsvhph9BYoOXl3o2vjRBNN4jJlcMxzU6Azmya41r%2BcgsAakBv9R0VQdJkfnOUHUeV6O%2BLav%2Bv9p5JV9T9zzWzXescZ3caU0LHMMSkrX1kkubXlF1F7rEyWIzRaWJ1YI8UJ%2BvWSB16%2BJzg594yoW%2Fmr3rSqHCX6ZyHUDwY9U5a5rhvWhGVxmhkvQrMwqtq5ZXZvA853ZX3YnSRLZ1suo5rrhFOt%2F9umRqTbSWAaaCJdv%2F%2Bcnn2omdQbN7Mmnbv9nGAX66FQFXZ1v7QXyhNqM%2FsY5lA6rqfNcKr53VkjTlr98EMwJxT6M%2FjryNUUQRvgnSgQNv4nLHP3JnWDutsQDqSHr8kGmr5jYw%2BquIMkKxNnnZX7Ax187qszwETXn17HPiqka%2B4zguOmVi21fJv5P97%2FGGatWadrF3es8FX0iq%2BmdjbrwsGhXOdZYsTb20EsYH1DGow1HhS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2Fy8vL6%2Bvqfn5%2Ft7e339%2Ff29vbo6Ojz8%2FP6%2Bvr19fX19fWmpqbLy8v6%2Bvr4%2BPjT09Pr6%2Bv6%2Bvrr6%2Buqqqrz8%2FPt7e2ioqLPz8%2Fa2trW1taioqLr6%2Bvi4uL5%2BflVVVXNzc3%2F%2F%2F%2FW1tbj4%2BPh4eHq6ur8%2FPz%2F%2F%2F%2F29vb7%2B%2Fvz8%2FP09PTMzMz%2F%2F%2F%2F%2F%2F%2F%2F5%2Bfn19fX%2F%2F%2F%2Fy8vL9%2Ff0AAADZ2dn8%2FPz7%2B%2Fv8%2FPzp6em%2Fv7%2F7%2B%2Fvq6urp6en%2B%2Fv7%2F%2F%2F%2F4ck%2FmAAAA8nRSTlMAGgDUzwIP8SMQ759fCgUvqfDGFeIYA78fbxNTt98%2FhsV%2FBhdD4Q1rRI%2Bvwo3ATxJTD18IoKWasozTETbQ4D40IX5hC6dAMR7RXydvEsRuotKLkZCATYahkzOxQlFqmbZwJiUhFWy1wyJYcXI7gB2XIEFbgjxgiWFtfTSFMy8wSYgEqFBDTSE2KCpnSyZZUaZHRFAsDuWBYJJ7AVZQpC0Z6njBKWjdN4dlMV30iN8bV7%2BzJJeHMRiDYsR6U9yVYxdP2c1dj8CKFZZVFjtaaTxOI9cMKQk4NnBW4PKUOmiNI%2FkwWoQYUdQOSk6GvkUURFSM3n71h14AAB4tSURBVHhe7J2HfyPHmaa%2FYicCDTQCQRAkQWgABpMcDSkOw3CGM5o8Gk2QRjlZOVjBsizbcs5pndb22r7d23ybc7zbdDnnnHPO%2Bd6%2F4FjdIGu6vmp280CtbF%2B%2Fkkn%2Fnip%2BaPSDDqA%2BFOm7J3ncIoDi0NAQkY3d2IaJSws2NNZZnCouduhAsrgf7o4BYy59O4fvn3ROJQKoREkBGKqYytAJCCEQWh220I81TPFIozLaNiCMH4PJr47WIooL1C1isUUsFSwpkMqPAMARDUIFjLcYpj5tGbmqw%2BP6bhz49jZwbZ9S9k8Kd20QQLDdzFbdIz%2FJJ0OFyJFaI6mOcZ6HGOzAGxdi0tN8JL063CmJwi9FviX34m4FUrlxl0PgaBgIbrXJJfVp08yTrbq2tt99bINtCj9p%2F2TiZMMigCzYGa0WxwBgrEjxCBUici56obyLjsF%2B%2Fez8KGLwUdxVJuq9HZcpljX16lgjlaeg8hTpmUVNqubcUjzNKnBbGIBbJS6pT8nMo5ilAms3kxsAbElvsP0DqP2Ttt9KsEYIoBELpWxWDyHMocSDdUiCYMYDvJmAl5sUE%2BcDgiaiLMd6FrTJUmskFaTyEah8JPZsiru8WGL8ouLpx2rfqshkVQix%2Bz%2FOoyRIte64GalXsb5%2FJFX7J4UfxsVI3EUcMyrVrbqAtbVVB1x96q39f4Yo0goYpBJ6EmhWa31nx3WrUmskFaTyJah8iVSofNrqY2umHOeNsyIQ457ksUTnlP0dq4NfVyuLrpTKLlHy0sUp1UASq%2F2Txr2ASAiiwJvNYrVzBLjUbJ4BjlS0qbdE%2F%2FStUgAExAMyWG2jI2EFDd3qujNsWcPOesxquY6d1OOSmiMbId4YCTT%2BBEq0xDjRKACM8mO1HwF2mYm%2BDnRdrRRht5hUmRPHAeD4CdL3jwBEBQ3OheC84VE%2FXi2L1Q9fB14kOgFc%2F%2BzeVgmgJKuVTnzsPSh2iFoncY82uVrw14aH1%2FxCNVbszO4heYa0vDPk30uc%2F%2BOxv2LgBAAGdjSM8R548OvqoxHiUl0bYWyX7R8h1P5J22%2BHUIlAxXSl5FYDeZS67hHgTO%2F%2F2aoPbWy12r9JqFVifFsqsLYGbGtlJyq%2BV2TuBRrA3WTgs%2FAY70S30519XFebg19X3520%2BbakctBO2j%2BZ%2BNt23qsdwduyWCWnjjB1h%2FZvdWkqhPxKVhi3gMamh2Ilhn304xeIaTVJpVlsTp9FLRt3F9DPgvtmX1czbf4FSeXghcT9k4WXLYxtg8oYrLJRKZNTC7XWa7R%2Fq1RDCDfq7RltpDwixPTcjIdii1R87MYnptUktdKYn6Pz89ZSJj6l6k8NcA%2Bc9bqavvmF6jbdHqwW0vYP5%2Fq9dLGo7qVTrY5OXKnXr0yM7m3V%2BFzIAs4S0crEckCmBDOedY1UCmI3%2BtN0LjUucan0yDOycjD8PZk4VJDCB3%2B%2FqmmtSqlc68g2dUYKlLJ%2FUrgzMl73Gu3xESfFqorzwO0OsXiI4kmrCe%2FSRoQ4T3slOK2ea0qa001Tgci0E2TiQkVk5tHooO9XnYJDWcP3TzovT4xOL5dJixDqXz29gHhGRZTRIRogzT2l5mk6b8F%2BG5KhtyB5%2Fj%2B2mie3mie3mlvNk1vNk1vNk1vNk1vNrZbouy65VR8%2BsST3UJbGpopjJYZdoNsFXGOptDrpfAn9LGWvU5xaLJFvmr9Ycu3kzstYuiHrUuaUFsfGFg%2FyQOFa%2BHaCIAeHMNTnPgA%2FwSrnrg3UPPD%2B1R8AHnwQ%2BIEUq7xONv4w%2Brk7ex2vBhRhng9ks%2BoyGAXU6XYrROTzXnTg4PrRW3EAIQQI8tueVn3I%2BGarnNuoz4%2BOztdZ%2F%2Bpl4KWXgMspVnmdbHwWIgxm91XHA7JxiJ1A64jHvJg0WS0CmBqzWf3NLSG2NmGTnopCOm8l8RZKpNsDSbG0l1UfUXyjVcZLqE8EoGCirj1cC%2F20Eq3yOgjrML6wwHgLFoWxUGHzicx1iB4CQJy7Iee7S4biAw4QUM9k1XhodzE%2B1yRqzo2zk3YXkPZaZODoEJl48avVU5pVQQjFJltVUgHfZJX9N%2FDDuJ3Cerdr%2FasvA5icBPByolVeB6yO5B2go%2FOXdzpJLuAVVseuGOv0%2F2M%2Bce6EnO0uIRO3elPbciars9UyhSlXZ%2FkJvoVSCS3OaeNRCTi%2F59j7UGFc0J7XVSWVad2hpv5VEO9fPQXgwx8GcMr4CRybTHWg6ijungJOuRo%2Fhp%2BgMD%2BBw4Y6Xb3OrOSG1BTPdKxCJZNVfJn6%2BbKhTnMcGG9yTv%2B5Zrb6CQT4LLtQEAkBIRKtFgR2IgpZrDa8aEzvX60AQBAAQIVi6bdzEa9jA7aso3FnGph2NA58ncJ8HTBsz5%2FQ69QkD1OM9TmNju7yYsqxmtFqI46fo36eg8HSzwM%2Fb7L3fR6RkYPwfTdzQVBtOklWuT1ulfevCiH0%2FtV7sZt7zd1ovM5F4KKqozgBpHMA6BB1AIDNb0yuGOvIVPAk8YT1BztW3fq5rXMb9fZjcexEEwEHpjPw%2BLjxDPwH2xHgvIIPMy5EBqtCiBSr6f2rswAaQjQAzCbsFVYn2NwMVB3FCWD1AeC9RO8FADb%2FmZ6az7fzcf15%2BWr7BzhWnYnV5irr1gPtWCX9swSbQHOrXN5qck61ByTgfPY9DzUC%2Fs6GICfsbVXCFKtp%2FatL%2FY9pHQKAJUOZyUnwOnNzYR3GhWAcKmDzHbU9GfpsvfcpPsh11ZhNZXVTG5qbt6hJ8l%2FOT%2FeITPyjX6l9kG8mqe0cwGp6%2F%2BrdAHCd6Lr%2BewKopNbh3Gx1kDoET%2FHBrqvGzCmrc6QlGFFA480k3jxdZpsJEoCgeE8lhfdQQ2JocjKj1fT%2B1RoAvJ%2Fo%2FQBQS7fK63CeZjW9TsOrM14dHW%2Br%2Ban6vF3qZbJKyurBpGnQQpicNDY0E4aAXnQC73%2BNh3XZsv5V1ow6RzQnv4%2FyMjJZ6nDO64jMdaZHJxgvUHnZND%2Bh%2FuguHdXmU0KEUF8PPpES0esZG5pJDAkxdDPOk%2FdC5Mmt5smt5smt5smt5lbz5Fbz5Fbz5Fbz5FZzq%2BYGw13usyHXNjcHKKrHZwuvpKWLinmDsECGlAwdND5R2vIg39VWq0atfV5Y14fs2ryIktVqjbUepmUW9zI2CUyes9AlnvJZtEfiaAEL%2B7OabBqJQ619rSnT4jwKiCHaRaD08MdFvVDnWhVXWpm9jFYrEf5AwoYQz1INNQZ7QG91GJfJkH%2BGBzSyghWyJoUAhJi0SIXRAaw292W1eSBWE4uI3YAIGAOYVsWl1sGsvhLhY3FahN6SqXLs0xZKxud5QurmeQee0xGIRnrRD%2FVGFE6iJKIQj0gdYsjI1RCzKhErnWrVj3Hy0Y3OwCDaqx2Ya92%2FVeBYhK8DbLplAbcC7MT2vh%2FEMZPVyhraZAjgMGRe9S2RQiWJg519D%2BoMnPi4e1n1oReZJXLHKtJqNUFrNaZ1EKuzIswstzp%2B6dK44Vm%2B3Ah%2BCmiZ9%2FsDxFNBnX6%2FrTYVHuwMvJBmdcFs1YdmtYp7yLVRdEFUSNBaiGsdwKqKxq0vAF%2BwuNVTn%2B68buH7uQqxdRYnXWL5XXxtYKtChfHEgcHPwKEeSixPJO3BZHVdt1oQc64NwEZM3zqpxPn6%2Bpth9fiLwIvHmdUOwswaVDTPb%2BB%2BYnkYP3dwx2rmu6XWQZyBhdgogHj5XYTChhCm%2BoWqZtXttn4EYW7Wpy%2Beqbi%2FXshk1dqy9mMVH9ja%2BgCY1YcsIcQW0DGp%2BGkcJpYbeGlfVktAaXCrzYM5A6%2FQ3lZpJWE7C9UYr0wBP4kwSh%2BTKrmSmsWqNdwctrhV0Q%2B3ipMnway6eF7usjYe4lZbpRpeIBbge%2FZlVZnI0nyXOjD4PTCHu8hk26tvh6gQ5ypKH5MacSWVW63G9VnDTriYLnNRhEyLdWSaWzLX8AU5%2Fkn98zpXwW6X1Mj%2F0NkCFhKOym0emVgYbKXag74HNtchGGyPTmyH2VbZ1adLVbykpGpW41xKJalV34qd30KwjkxjS2YX4WLXFfY%2BFmEakz3SYpt%2BH7lSXWFHJVud%2BvfXanNAqzxpj1vQpSpeLmQ7VUmpUivrTw9EmDJlyty25SD6oVHD404zqTQiMaOF3R%2FS%2BIboZ6Mw4PrDB3UGFpRchxTkSX3cwePQd0ZW2P8ZNHkvRJ7cap7cap7cam41T241T241T241T241t%2Bq2aOAs0rdVcquuXawYFrpdTF6%2Fl6eDJUqOu0SDxvdpH8mtus8eR9HUnQ3ftK4vANslPSdxisOlKcjZ8uc6jI9Ryzy%2FWKEuq%2BUn9KOHW5VA%2BVASn%2BrQAcR2wy%2FJvAWwoYjyuD4vFDnwTdi33ZhV1z55ybJYx0B9sw2UDOvrRqK0dAHcZ16C2xp2T1ywntO4d3aCcJXPH696M4EPm0s1aQWkISRQPpTEgcUWGQKAkLknBtIRlFbGm6yUokyeHDJyGLT6QKRVTcPJS8P6Wq%2F1ibnlNg4b1tcFwHR3jOunn8KmEGLkhG3fMeJofPR8yQcWXX1%2BuTAa%2BMAFTWpBAKLAtALSEBIoH0riAIrdwa1KEVA2OAfMQyZ5csjM14llHX2tahqOX2PLSr0%2F6kkwrK9r6ts%2BFcKaq1eZix7h%2BAnG%2B4uZr%2Bl8oUK%2B3p3hLiJURVhkjyANgQzUOJTEIWN3BrUqRSgbBs5KKcrlySHOE1tXIq1qGl8V1MPh0KJlWF%2FX0AVYQjuk9xuvb7CGTzB%2BP6w6UL1D4wsoLrLttrEbW7cRjpGR8iFXcaMl3x3UKmxlw8BZKUWZPF6IS%2BVauVSVNjDWHQMu8PWBI6u1%2BEFc%2FaTBNQE7Um3Gf3RrZMIbLzgaf6cHKTV%2Bgr%2BgrF4w2iAj5UNrGmeWpga2GmXNzHkpjbKXsc22v5HUutIAsDbEpao8gCg%2FxtcHJsn19XV%2F7kGE4VafkvVtMF5oEp0ul3QezHhSKvTXYfSpJ%2FY6BSylSKd86A7FjZaqzwxsNXqEOxI4K2WmI2InI3z7fTLGDx93KHxLY5ZKvQ3IbDYN6wMDgLa%2Brnf5i16C1Y%2BMb9cHGJdp%2BpwHMxsFAkjTGg3qUgkYlo7MlA85ihssWZMFZ1Cr1rA6TgycWzVTFcP2%2B4lSh50hoqfkWxopleddFoD6nGl9YAD6%2BrptrB2SuE6xNNClubLjdtFgfDtmHqworrRG72x0qQSEokzUOJTEw7daI71B75akTyXVwFkpTrlVrjVZ6hDRZZy8ZJZKzkUPjTNkWh%2FYsJL%2BxzzIeLfH8Z3YyZ0D8eS2ZSAUlUD5UBIH2qfPD%2F7ORvpUUg2clTJTocK33%2FzOpi91iFqwfvCaQ%2BYEM43H1FjKerzN01UPqJ4O4nj1XAMyjXOrA%2FHktmUgFJVE%2BZBELueNyeVmQk8mZW7dJ2nI5VIljwaZP0Z5uFZzU34kdYiubY2cdygpwbRylLoeb7MwKkSB7ZjVaSEzvToYT25bFkK1IXPKh0LkcD7dowNIVNkx8ugLO%2FY4TddqbsqPpA6R06TvvORxEnDeCzFo8l6IPLnVPLnVPLnV3Gqe3Gqe3Gqe3Gqe3Gpu1dzf%2B5Zx1ShxcPUHT2uqktR9uN%2F4ST9UWThIq65taI95S7gaAsyddTWPzc%2FCB85JnHT3ZdVuUULel2C1UsTCYK8at0XAUMsNrdqm9pi9uQd4%2B5kPq569Prk%2BgOISkaEPeXS%2BDns%2FfJzXJ2oplMnGAoC1fVlV28%2FkGVX529x750BW5YcvgEox7EYrAYAQrL835ICJW09Xq09b5vkNGPi5kYl5jbPHVVmrjQMfqpWI9SE%2FQvTIRB0lnQdEgZlXarw%2BLRVBaTZ4o3opu9XOVQALCVK9%2BaqxkjcTDGT12RqKQBG1Z4eIDgMAEevvlVyGc2%2FYKRScYc8033pmHIxbq1crgZWxPrm4qwyc%2F1CN9D7kCnwfldtxTOPRRxc4j3biuOLqyKOEmGy0apCptTJa7RYRxnTc3yvlFYxWpdRBrDZnPIQvjuYQUQ0QgkgIredTchnOo5PRGufWZH3Y%2BVmPceDUZ12Ac1ld5zt%2FBF1G60MOqkA1CLxZjdPVlo01zkOpM%2BU4b9kpa5oxGyf7%2FGQ2qz5UCyrLyoaSp1V6KKVtKfvirkNEDWCH1khlL74u8Trnl3oTTqXIOXBnbw0mTgSdQ6bXg4zeh7wePrZX0%2FjVsF%2BS8UhqoPEppFhlNkaEAKA3cJJtvi3oYCfWY4a73BUu1Q%2Bri8JBWj0UjbP%2BXsllOPfCRtc7PJ3L%2B8RKMXsd8%2BOKKzgngMmqJ4TWh1xBtSq%2FHtL4j1uyC4vxUiRV449ZKVa5DfNBecmDjHcpjh9FYyM81VSHg5S7XHZXPJBVMe9J2JgXQ0Rvi8ZZf2%2FIARO3Xd93bc5hd4rmOkIYuSASOienWisBf7J2F%2Bl9yMF8oTAfHNHrHHGGq8MOMY5Qqs6D4SqApHUDlY1Uq803IPNGM46xOb3S60F9JIHd5Wa7K%2B5vjcj8B%2Bdbxei9SbE1FPb3yrD%2B3r14ESgmzR%2BUE93xaQC1u8q8D1neA4%2FxOmO%2FUHAqBo67AmKcnMK4B0qIspFqlVY3AGysanRzTgJrppx2l8vvige7W7pmeTPAjGddG%2Br394L19751nJzCFeDpsrEPucjmZ%2BdK%2BIxFhjAbKVZpxYK1osO56MGDlLtcdlc8sFVn%2BHQABKdl735Cf%2B9bwtUQwOBB1g%2BGiYfZSLVKFxuXyBwn5S6X3RUPbpWcJgkx1JS9%2Bwn9vW8lZ82xB1%2BfiU4ZEOYNCqablDXqLlfXGuz1M3kvRJ7vZKt5cqu51Ty51Ty51Ty51Ty51Ty51dxqntyqe5W%2BrZP3A3dhd4g6NrpkSqc7BibV%2FgjtM4twDXRsjIyxYXMI9dUcn7Lk1VdfVd%2FexFSAA18nOXs%2F8GGrhoUF1KzDxOyVbAAvMKv34RNkSGdxbGyxY%2Bb%2F%2Bs84xFKCefnoFoCUngEebT3LoppfjM265ZZb1Lc3Ma94IgbcItsUxlPWSWZWk%2Fty8fyMBXgzzzN5lSkAaH%2BNDdTwx2jM1aC7iDCLrpE%2F0XLZ86kBNZd4mvuwiv5f%2FAwt2sb5yGrV9d3kA8b3GfUN9Yus0YdvTzrn6ySbrZYAWEJYAEqs6tGjkDG8iBrjj8Mj1oh1N71g8xZ6dTLg%2FHvvk1w75Ot13JexOUCoMNvFViQVFzJYnZubU9%2F44svmAyb6ptNCFWHM%2FVvvT9p%2BkdFqtE4y36DIqi%2BtHo6a%2FGp6X64AgNtuAwBBsawB3tnpf6e%2F6Ih%2BE8DCC9p1%2BAjaaABAFUdM%2FE%2F9Zcm1C8%2FHPw5UiMUF4GY8VoWY96zXZfuIQLWQwSoA9S198WX3BqRAH8AN7TBadAv8L36%2Fhp28lO1YbTDbKuaO1cgq%2FKFIJ1yXrwGrrLLzrHX661PsRbfUbQKsTBfWu%2FHRNoAfs9Dl%2FI87KxZ7HWwCm8o1270Zr6vB6T8ddRkqqZmtmhdf5qsJTmktOoVJQCw7hl3%2F09jJV7JZ%2FWAJKsUUq%2FrfgG4AwFNP8fV%2Bj27nttvkV%2F1Qsi4egcwXY%2FzyjxKssFqLVB7Edae%2B9gBQb17Hgzfz49v8d%2FAXiUKuUkLjV4FfbaBkasYDipUYhdj9h7T8QhHe2%2F820TrtzyqX2kjSyhYX7QHmXf%2Bz6KfRzGS1UT4FlXtSra6ryevJ%2Fbp0224ols96zxchU9c3bwrX7wSA10llro7umXcA9TNd1Odi3Jf8E%2BTHOLk1fMZpt53PoObqUtsA2kpryrFakVJPFivqHjijVSa1Ol2VWolpZVKJkqwGHqI8SZmsfrADFXzRZJWvnyyDaoH166afgXuHEMY7wzfvhVUA6N2Mz1i4f0KIiadgndH4kY9b6HU1fh%2FaPXr8ceq1tcWwi965ZQDL57xilmM1%2BszJb9b023sPO9Hu9uqA36n4QDum7gLkbipUgQvEtTKpBCTcqI6KMN4ns1ktPwqVapNb5Vqj62q1wPqB0626dv%2Fm52mHLeiOBypyRHvqbUwtLEyhPezEeRXAn22hGuMdeB%2BLtvpjHjqx%2BqdXZfXK6ul20rHK%2B2%2FDjxTFhIwKwLoiZEbJ2Nb%2BOFvnVH3TtUYbzy35ScveVvCJbFZbUMGXs7yzKURWC0OsHzjdqn18a1rMzwvWDP2xBsZ7D7GVyclZnnzyHe94cnLZ0Xhh8vfwR1%2FU1s4%2BiSj880rLTYrelzeXsxyr0lpAFIyyNd1hXuS6XEeYepmvc6q%2B6c%2BBVYLSKqVyTc9ls3ofVKxeyjrJrBeC9c2mWD0%2B3CQKAmJpPrNVJlisDlFveWJiuUfE%2BGv4B804ryCWCsXSmBfzjf3%2Fbiku1Y2k8pzZ8ABv4wwNFBGlwF4HTYFtDuFks1qDyvNp6yRzq6pvlm%2Fe6ip7uzTs7NFlTGKkTNmzIgKNBCIWbXg6oGA6bclrngJbG9gYZ2VUiNEVh96sCCmdwYQnMCpUmJtC4YB7IRz67kneC5Ent5ont5ont5ont5pbzZNbzZNbzZNbzZNbXZhaiIPcagtRii5ljQsYJy%2B4rnn3dlGkNzH4KFomHIbz0liR9T8fKF%2BcmlqUnMcdA7qUKXt0xNqAbZgeWu3%2FwFfRz4%2BQKa2rLUOTAYoV0%2FK0tg1qceFu7SzMi58i4Ul2i6a9VUzYIWiimdnqm7%2Fu8amv3XPna5LzHEFjck6C9P7kvZrRhICBhVZFNPYw%2BnmYWNzSGH7lGjR6yrhW47OwJbfxLOm53%2FspZhX4w8AFcXTDcJh1pn7jDRAL3viNqY7RK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| <div id="header"> | |
| <h1 class="title">A simple model for dynamics of beliefs</h1> | |
| <h4 class="author"><em>gpc</em></h4> | |
| <h4 class="date"><em>05/10/2014</em></h4> | |
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| <div id="society-as-a-graph" class="section level2"> | |
| <h2>Society as a graph</h2> | |
| <p>Consider for illustration a small society with <span class="math">\(5\)</span> individuals names <code>JP</code>, <code>AA</code>, <code>J</code>, <code>B</code> and <code>JBM</code>. It is represented by a graph such as the one below. The vertices are the individuals and the edges are the connections between individuals.</p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk graph" /></p> | |
| <p>This graph is easy to plot in R using the <code>graph</code> and <code>Rgraphviz</code> packages. One starts with a matrix of connections <code>M</code>:</p> | |
| <pre class="r"><code>M | |
| ## AA J B JBM | |
| ## JP 1 1 1 0 | |
| ## AA NA 1 1 0 | |
| ## J NA NA 1 1 | |
| ## B NA NA NA 1</code></pre> | |
| <p>prettier rendered like this (for those who are not familiar with R outputs):</p> | |
| <p><span class="math">\[\begin{array}{r|c|c|c|c} | |
| & AA & J & B & JBM \\ | |
| \hline | |
| JP & 1 & 1 & 1 & 0 \\ | |
| \hline | |
| AA & & 1 & 1 & 0 \\ | |
| \hline | |
| J & & & 1 & 1 \\ | |
| \hline | |
| B & & & & 1 \\ | |
| \end{array} | |
| \]</span></p> | |
| <p>A <code>0</code> means no connection between the two individuals, a <code>1</code> means connection between the two individuals (connected individuals meet sometimes). Then the graph is constructed and plotted by the following code:</p> | |
| <pre class="r"><code>library(Rgraphviz) | |
| g <- new("graphNEL", nodes=members, edgemode="undirected") | |
| for(i in 1:nrow(M)){ | |
| connections <- which(M[i,]>0) | |
| if(length(connections)){ | |
| for(j in connections){ | |
| g <- addEdge(rownames(M)[i], colnames(M)[j], g, M[i,j]) | |
| } | |
| } | |
| } | |
| plot(g)</code></pre> | |
| <p>For fun, we can generate a Javascript graph with the <code>d3Network</code> package:</p> | |
| <pre class="r"><code>library(d3Network) | |
| from <- sapply(str_split(edgeNames(g), "~"), function(pair) pair[1]) | |
| to <- sapply(str_split(edgeNames(g), "~"), function(pair) pair[2]) | |
| d3SimpleNetwork(data.frame(from,to), file="d3graph.html", | |
| fontsize=13, linkDistance=150, | |
| iframe=TRUE, width=400, height=300)</code></pre> | |
| <iframe src="https://gist.githubusercontent.com/stla/f7268cef32e347034e26/raw/907b148cf6168d8ed2855f835adee7668ea7dc60/d3graph.html" height="327" width="420"></iframe> | |
| </div> | |
| <div id="belief-updating" class="section level2"> | |
| <h2>Belief updating</h2> | |
| <p>Consider a topic of interest in the society. Each individual has its own opinion about this topic, represented by a score between <span class="math">\(0\%\)</span> and <span class="math">\(100\%\)</span>.<br />When two connected individuals meet, their opinion is updated according to a <em>trusting parameter</em>. More precisely, denote by <span class="math">\(x_i(t)\)</span> the opinion of each individual <span class="math">\(i\)</span> at time <span class="math">\(t\)</span>. Then, when individual <span class="math">\(i\)</span> meet individual <span class="math">\(j\)</span> at time <span class="math">\(t\)</span>, its opinion is updated according to the following rule: <span class="math">\[x_i(t^+) = (1-\alpha_{ij}) x_i(t) + \alpha_{ij} x_j(t)\]</span> where <span class="math">\(\alpha_{ij} \in [0,1]\)</span> is the trusting parameter representing the degree of individual <span class="math">\(i\)</span> confidence in individual <span class="math">\(j\)</span>. In other words, the updated opinion <span class="math">\(x_i(t^+)\)</span> is the average of the two opinions <span class="math">\(x_i(t)\)</span> and <span class="math">\(x_j(t)\)</span> weighted by the trusting parameter <span class="math">\(\alpha_{ij}\)</span>.<br />It is understood that individual <span class="math">\(j\)</span> opinion is similarly updated: <span class="math">\[x_j(t^+) = (1-\alpha_{ji}) x_j(t) + \alpha_{ji} x_i(t)\]</span></p> | |
| <p><u>Extreme trusting parameters</u>:</p> | |
| <ul> | |
| <li><span class="math">\(\alpha_{ij}=0\)</span> <em>(<span class="math">\(i\)</span> stubborn to <span class="math">\(j\)</span>)</em>: in case <span class="math">\(\alpha_{ij}=0\)</span>, opinion of individual <span class="math">\(i\)</span> does not change when he meets individual <span class="math">\(j\)</span></li> | |
| <li><span class="math">\(\alpha_{ij}=1\)</span> <em>(<span class="math">\(i\)</span> dominated by <span class="math">\(j\)</span>)</em>: in case <span class="math">\(\alpha_{ij}=1\)</span>, opinion of individual <span class="math">\(i\)</span> becomes opinion of individual <span class="math">\(j\)</span> when they meet</li> | |
| </ul> | |
| <p>For our illustration we use the following matrix of trusting parameters (there’s no trusting parameter between unconnected individuals):</p> | |
| <pre class="r"><code>alpha | |
| ## JP AA J B JBM | |
| ## JP NA 0.0 0.0 0.0 NA | |
| ## AA 1.0 NA 0.9 0.9 NA | |
| ## J 0.6 0.1 NA 0.1 0.1 | |
| ## B 1.0 0.5 0.5 NA 0.2 | |
| ## JBM NA NA 0.2 0.0 NA</code></pre> | |
| <p><span class="math">\[\alpha=\begin{array}{r|c|c|c|c|c} | |
| & JP & AA & J & B & JBM \\ | |
| \hline | |
| JP & & 0.0 & 0.0 & 0.0 & \\ | |
| \hline | |
| AA & 1.0 & & 0.9 & 0.9 & \\ | |
| \hline | |
| J & 0.6 & 0.1 & & 0.1 & 0.1 \\ | |
| \hline | |
| B & 1.0 & 0.5 & 0.5 & & 0.2 \\ | |
| \hline | |
| JBM & & & 0.2 & 0.0 & \\ | |
| \end{array} | |
| \]</span></p> | |
| <p>and we use the following initial values of the opinions at time <span class="math">\(t=0\)</span>:</p> | |
| <pre class="r"><code>individuals <- colnames(alpha) | |
| inits <- setNames(c(100, 50, 10, 5, 15), individuals) | |
| inits | |
| ## JP AA J B JBM | |
| ## 100 50 10 5 15</code></pre> | |
| <p>Thus :</p> | |
| <ul> | |
| <li><p><code>JP</code> is stubborn to everyone: his trusting parameters <span class="math">\(\alpha_{1,j}\)</span> are equal to <span class="math">\(0\)</span>. That means his opinion will never change and he starts with extreme opinion <span class="math">\(x_1(0)=100\%\)</span></p></li> | |
| <li><p><code>AA</code> is dominated by <code>JP</code>: her trusting parameter <span class="math">\(\alpha_{2,1}\)</span> is equal to <span class="math">\(1\)</span>. That means she will adopte whenever she meets <code>JP</code>. She is a credulous person: her other trusting parameters are <span class="math">\(0.9\)</span>. She starts with opinion <span class="math">\(x_2(0)=50\%\)</span>.</p></li> | |
| <li><p><code>J</code> is a bit credulous about the claims of <code>JP</code> (<span class="math">\(\alpha_{3,1}=60\%\)</span>) but not very credulous about the claims of his other friends (<span class="math">\(\alpha_{3,j}=0.2\)</span>). He starts with opinion <span class="math">\(x_3(0)=10\%\)</span>.</p></li> | |
| <li><p><code>B</code> is dominated by <code>JP</code> (<span class="math">\(\alpha_{4,1}=100\%\)</span>), half-credulous in regards to <code>AA</code> and <code>J</code> (<span class="math">\(\alpha_{4,j}=50\%\)</span>), and not very credulous in regards to <code>JBM</code> (<span class="math">\(\alpha_{4,5}=20\%\)</span>). He starts with opinion <span class="math">\(x_4(0)=5\%\)</span>.</p></li> | |
| <li><p><code>JBM</code> is not very credulous in regards to <code>J</code> (<span class="math">\(\alpha_{5,3}=20\%\)</span>) but gives no credence to <code>B</code> (<span class="math">\(\alpha_{5,4}=0\%\)</span>). He starts with opinion <span class="math">\(x_5(0)=15\%\)</span>.</p></li> | |
| </ul> | |
| </div> | |
| <div id="occurences-of-meetings" class="section level2"> | |
| <h2>Occurences of meetings</h2> | |
| <pre class="r"><code>T <- 200 | |
| X <- matrix(NA, nrow=nrow(alpha), ncol=T) | |
| rownames(X) <- rownames(alpha) | |
| X[,1] <- inits | |
| update <- function(X, t){ | |
| edge <- str_split(edgeNames(g), "~")[[sample.int(numEdges(g),1)]] | |
| i <- edge[1] ; j <- edge[2] | |
| xi <- X[i,t-1] ; xj <- X[j,t-1] | |
| X[i,t] <- (1-alpha[i,j])*xi + alpha[i,j]*xj | |
| X[j,t] <- (1-alpha[j,i])*xj + alpha[j,i]*xi | |
| others <- setdiff(rownames(X), edge) | |
| X[others,t] <- X[others,t-1] | |
| return(X) | |
| } | |
| for(t in 2:T){ | |
| X <- update(X,t) | |
| } | |
| sims <- data.frame(time=1:T, t(X)) | |
| ggdata <- melt(sims, id.vars="time", variable.name="individual", value.name="opinion") | |
| ggplot(ggdata, aes(x=time, y=opinion, color=individual)) + | |
| geom_line() + | |
| xlim(c(1,T)) + ylim(c(0,100))</code></pre> | |
| <p><img 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" 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