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"sha512-jTywjboN9aHxFlToqb0K0Zs9SbBoW4zRUlGzI2tYNxVYcEi/IPpn+Xi4ye5jTLvX2YeLuic/IvxNot+Q1jMoOw==", + "version": "5.106.2", + "resolved": "https://registry.npmjs.org/webpack/-/webpack-5.106.2.tgz", + "integrity": "sha512-wGN3qcrBQIFmQ/c0AiOAQBvrZ5lmY8vbbMv4Mxfgzqd/B6+9pXtLo73WuS1dSGXM5QYY3hZnIbvx+K1xxe6FyA==", "dev": true, "license": "MIT", "dependencies": { @@ -18482,9 +18762,8 @@ "events": "^3.2.0", "glob-to-regexp": "^0.4.1", "graceful-fs": "^4.2.11", - "json-parse-even-better-errors": "^2.3.1", "loader-runner": "^4.3.1", - "mime-types": "^2.1.27", + "mime-db": "^1.54.0", "neo-async": "^2.6.2", "schema-utils": "^4.3.3", "tapable": "^2.3.0", @@ -18509,19 +18788,18 @@ } }, "node_modules/webpack-bundle-analyzer": { - "version": "5.2.0", - "resolved": "https://registry.npmjs.org/webpack-bundle-analyzer/-/webpack-bundle-analyzer-5.2.0.tgz", - "integrity": "sha512-Etrauj1wYO/xjiz/Vfd6bW1lG9fEhrJpNmu10tv0X9kv+gyY3qiE09uYepqg1Xd0PxOvllRXwWYWjtQYoO/glQ==", + "version": "5.3.0", + "resolved": "https://registry.npmjs.org/webpack-bundle-analyzer/-/webpack-bundle-analyzer-5.3.0.tgz", + "integrity": "sha512-PEhAoqiJ+47d0uLMx/+zo5XOvaU+Vk6N2ZLht7H3n09QLy/fhyvqGNwjdRUHJDgMN8crBR2ZwVHkIswT3Xuawg==", "dev": true, "license": "MIT", "dependencies": { - "@discoveryjs/json-ext": "0.5.7", + "@discoveryjs/json-ext": "^0.6.3", "acorn": "^8.0.4", "acorn-walk": "^8.0.0", - "commander": "^7.2.0", - "debounce": "^1.2.1", - "escape-string-regexp": "^4.0.0", - "html-escaper": "^2.0.2", + "commander": "^14.0.2", + "escape-string-regexp": "^5.0.0", + "html-escaper": "^3.0.3", "opener": "^1.5.2", "picocolors": "^1.0.0", "sirv": "^3.0.2", @@ -18534,40 +18812,46 @@ "node": ">= 20.9.0" } }, - "node_modules/webpack-bundle-analyzer/node_modules/@discoveryjs/json-ext": { - "version": "0.5.7", - "resolved": "https://registry.npmjs.org/@discoveryjs/json-ext/-/json-ext-0.5.7.tgz", - "integrity": "sha512-dBVuXR082gk3jsFp7Rd/JI4kytwGHecnCoTtXFb7DB6CNHp4rg5k1bhg0nWdLGLnOV71lmDzGQaLMy8iPLY0pw==", + "node_modules/webpack-bundle-analyzer/node_modules/commander": { + "version": "14.0.3", + "resolved": "https://registry.npmjs.org/commander/-/commander-14.0.3.tgz", + "integrity": "sha512-H+y0Jo/T1RZ9qPP4Eh1pkcQcLRglraJaSLoyOtHxu6AapkjWVCy2Sit1QQ4x3Dng8qDlSsZEet7g5Pq06MvTgw==", "dev": true, "license": "MIT", "engines": { - "node": ">=10.0.0" + "node": ">=20" } }, - "node_modules/webpack-bundle-analyzer/node_modules/commander": { - "version": "7.2.0", - "resolved": "https://registry.npmjs.org/commander/-/commander-7.2.0.tgz", - "integrity": "sha512-QrWXB+ZQSVPmIWIhtEO9H+gwHaMGYiF5ChvoJ+K9ZGHG/sVsa6yiesAD1GC/x46sET00Xlwo1u49RVVVzvcSkw==", + "node_modules/webpack-bundle-analyzer/node_modules/escape-string-regexp": { + "version": "5.0.0", + "resolved": "https://registry.npmjs.org/escape-string-regexp/-/escape-string-regexp-5.0.0.tgz", + "integrity": "sha512-/veY75JbMK4j1yjvuUxuVsiS/hr/4iHs9FTT6cgTexxdE0Ly/glccBAkloH/DofkjRbZU3bnoj38mOmhkZ0lHw==", "dev": true, "license": "MIT", "engines": { - "node": ">= 10" + "node": ">=12" + }, + "funding": { + "url": "https://github.com/sponsors/sindresorhus" } }, + "node_modules/webpack-bundle-analyzer/node_modules/html-escaper": { + "version": "3.0.3", + "resolved": "https://registry.npmjs.org/html-escaper/-/html-escaper-3.0.3.tgz", + "integrity": "sha512-RuMffC89BOWQoY0WKGpIhn5gX3iI54O6nRA0yC124NYVtzjmFWBIiFd8M0x+ZdX0P9R4lADg1mgP8C7PxGOWuQ==", + "dev": true, + "license": "MIT" + }, "node_modules/webpack-cli": { - "version": "6.0.1", - "resolved": "https://registry.npmjs.org/webpack-cli/-/webpack-cli-6.0.1.tgz", - "integrity": "sha512-MfwFQ6SfwinsUVi0rNJm7rHZ31GyTcpVE5pgVA3hwFRb7COD4TzjUUwhGWKfO50+xdc2MQPuEBBJoqIMGt3JDw==", + "version": "7.0.2", + "resolved": "https://registry.npmjs.org/webpack-cli/-/webpack-cli-7.0.2.tgz", + "integrity": "sha512-dB0R4T+C/8YuvM+fabdvil6QE44/ChDXikV5lOOkrUeCkW5hTJv2pGLE3keh+D5hjYw8icBaJkZzpFoaHV4T+g==", "dev": true, "license": "MIT", "dependencies": { - "@discoveryjs/json-ext": "^0.6.1", - "@webpack-cli/configtest": "^3.0.1", - "@webpack-cli/info": "^3.0.1", - "@webpack-cli/serve": "^3.0.1", - "colorette": "^2.0.14", - "commander": "^12.1.0", - "cross-spawn": "^7.0.3", + "@discoveryjs/json-ext": "^1.0.0", + "commander": "^14.0.3", + "cross-spawn": "^7.0.6", "envinfo": "^7.14.0", "fastest-levenshtein": "^1.0.12", "import-local": "^3.0.2", @@ -18579,14 +18863,16 @@ "webpack-cli": "bin/cli.js" }, "engines": { - "node": ">=18.12.0" + "node": ">=20.9.0" }, "funding": { "type": "opencollective", "url": "https://opencollective.com/webpack" }, "peerDependencies": { - "webpack": "^5.82.0" + "webpack": "^5.101.0", + "webpack-bundle-analyzer": "^4.0.0 || ^5.0.0", + "webpack-dev-server": "^5.0.0" }, "peerDependenciesMeta": { "webpack-bundle-analyzer": { @@ -18597,14 +18883,24 @@ } } }, - "node_modules/webpack-cli/node_modules/commander": { - "version": "12.1.0", - "resolved": "https://registry.npmjs.org/commander/-/commander-12.1.0.tgz", - "integrity": "sha512-Vw8qHK3bZM9y/P10u3Vib8o/DdkvA2OtPtZvD871QKjy74Wj1WSKFILMPRPSdUSx5RFK1arlJzEtA4PkFgnbuA==", + "node_modules/webpack-cli/node_modules/@discoveryjs/json-ext": { + "version": "1.1.0", + "resolved": "https://registry.npmjs.org/@discoveryjs/json-ext/-/json-ext-1.1.0.tgz", + "integrity": "sha512-Xc3VhU02wqZ1HvHRJUwL09HkZSTvidqY5Ya0NXBSYOxAp+Ln9dcJr9fySI+CkONzP3PekQo9WdzCv0PGER/mOA==", "dev": true, "license": "MIT", "engines": { - "node": ">=18" + "node": ">=14.17.0" + } + }, + "node_modules/webpack-cli/node_modules/commander": { + "version": "14.0.3", + "resolved": "https://registry.npmjs.org/commander/-/commander-14.0.3.tgz", + "integrity": "sha512-H+y0Jo/T1RZ9qPP4Eh1pkcQcLRglraJaSLoyOtHxu6AapkjWVCy2Sit1QQ4x3Dng8qDlSsZEet7g5Pq06MvTgw==", + "dev": true, + "license": "MIT", + "engines": { + "node": ">=20" } }, "node_modules/webpack-dev-middleware": { @@ -18678,15 +18974,15 @@ } }, "node_modules/webpack-dev-server": { - "version": "5.2.2", - "resolved": "https://registry.npmjs.org/webpack-dev-server/-/webpack-dev-server-5.2.2.tgz", - "integrity": "sha512-QcQ72gh8a+7JO63TAx/6XZf/CWhgMzu5m0QirvPfGvptOusAxG12w2+aua1Jkjr7hzaWDnJ2n6JFeexMHI+Zjg==", + "version": "5.2.4", + "resolved": "https://registry.npmjs.org/webpack-dev-server/-/webpack-dev-server-5.2.4.tgz", + "integrity": "sha512-GqDPGZN9bRqKBTkp4aWkobDDHMsrXKoGSdOH56smIri8qR0JG8gfL8/v/f/OZR3/OKXjG8uwJbFVhKm/FNU/UA==", "dev": true, "license": "MIT", "dependencies": { "@types/bonjour": "^3.5.13", "@types/connect-history-api-fallback": "^1.5.4", - "@types/express": "^4.17.21", + "@types/express": "^4.17.25", "@types/express-serve-static-core": "^4.17.21", "@types/serve-index": "^1.9.4", "@types/serve-static": "^1.15.5", @@ -18696,9 +18992,9 @@ "bonjour-service": "^1.2.1", "chokidar": "^3.6.0", "colorette": "^2.0.10", - "compression": "^1.7.4", + "compression": "^1.8.1", "connect-history-api-fallback": "^2.0.0", - "express": "^4.21.2", + "express": "^4.22.1", "graceful-fs": "^4.2.6", "http-proxy-middleware": "^2.0.9", "ipaddr.js": "^2.1.0", @@ -18706,7 +19002,7 @@ "open": "^10.0.3", "p-retry": "^6.2.0", "schema-utils": "^4.2.0", - "selfsigned": "^2.4.1", + "selfsigned": "^5.5.0", "serve-index": "^1.9.1", "sockjs": "^0.3.24", "spdy": "^4.0.2", @@ -18779,6 +19075,16 @@ "node": ">=10.13.0" } }, + "node_modules/webpack/node_modules/mime-db": { + "version": "1.54.0", + "resolved": "https://registry.npmjs.org/mime-db/-/mime-db-1.54.0.tgz", + "integrity": "sha512-aU5EJuIN2WDemCcAp2vFBfp/m4EAhWJnUNSSw0ixs7/kXbd6Pg64EmwJkNdFhB8aWt1sH2CTXrLxo/iAGV3oPQ==", + "dev": true, + "license": "MIT", + "engines": { + "node": ">= 0.6" + } + }, "node_modules/webpack/node_modules/schema-utils": { "version": "4.3.3", "resolved": "https://registry.npmjs.org/schema-utils/-/schema-utils-4.3.3.tgz", @@ -18987,7 +19293,8 @@ "version": "1.3.0", "resolved": "https://registry.npmjs.org/wicked-good-xpath/-/wicked-good-xpath-1.3.0.tgz", "integrity": "sha512-Gd9+TUn5nXdwj/hFsPVx5cuHHiF5Bwuc30jZ4+ronF1qHK5O7HD0sgmXWSEgwKquT3ClLoKPVbO6qGwVwLzvAw==", - "dev": true + "dev": true, + "license": "MIT" }, "node_modules/wildcard": { "version": "2.0.1", @@ -19128,9 +19435,10 @@ "license": "ISC" }, "node_modules/yaml": { - "version": "1.10.2", - "resolved": "https://registry.npmjs.org/yaml/-/yaml-1.10.2.tgz", - "integrity": "sha512-r3vXyErRCYJ7wg28yvBY5VSoAF8ZvlcW9/BwUzEtUsjvX/DKs24dIkuwjtuprwJJHsbyUbLApepYTR1BN4uHrg==", + "version": "1.10.3", + "resolved": "https://registry.npmjs.org/yaml/-/yaml-1.10.3.tgz", + "integrity": "sha512-vIYeF1u3CjlhAFekPPAk2h/Kv4T3mAkMox5OymRiJQB0spDP10LHvt+K7G9Ny6NuuMAb25/6n1qyUjAcGNf/AA==", + "license": "ISC", "engines": { "node": ">= 6" } diff --git a/package.json b/package.json index ef6cfe90d..22875af70 100644 --- a/package.json +++ b/package.json @@ -56,20 +56,20 @@ "description": "A cyberpunk-themed incremental game", "devDependencies": { "@babel/core": "^7.29.0", - "@babel/preset-env": "^7.29.2", + "@babel/preset-env": "^7.29.5", "@babel/preset-react": "^7.28.5", "@babel/preset-typescript": "^7.28.5", "@electron/packager": "^18.4.4", - "@mathjax/src": "^4.1.0", + "@mathjax/src": "^4.1.2", "@microsoft/api-documenter": "^7.26.34", - "@microsoft/api-extractor": "^7.52.13", + "@microsoft/api-extractor": "^7.58.7", "@pmmmwh/react-refresh-webpack-plugin": "^0.6.1", "@swc/core": "^1.12.14", "@types/babel__standalone": "^7.1.9", "@types/bcryptjs": "^2.4.4", "@types/convert-source-map": "^2.0.3", "@types/jest": "^30.0.0", - "@types/lodash": "^4.17.20", + "@types/lodash": "^4.17.24", "@types/react": "^17.0.89", "@types/react-beautiful-dnd": "^13.1.8", "@types/react-dom": "^17.0.26", @@ -91,7 +91,7 @@ "jest": "^29.7.0", "jest-environment-jsdom": "^29.7.0", "jsdom": "^26.1.0", - "lodash": "^4.17.23", + "lodash": "^4.18.1", "monaco-editor": "^0.55.1", "monaco-editor-webpack-plugin": "^7.1.1", "prettier": "^2.8.8", @@ -99,10 +99,10 @@ "style-loader": "^4.0.0", "tinybench": "^6.0.0", "typescript": "^5.9.3", - "webpack": "^5.105.4", - "webpack-bundle-analyzer": "^5.2.0", - "webpack-cli": "^6.0.1", - "webpack-dev-server": "^5.2.2", + "webpack": "^5.106.2", + "webpack-bundle-analyzer": "^5.3.0", + "webpack-cli": "^7.0.2", + "webpack-dev-server": "^5.2.4", "xml-formatter": "^3.6.7" }, "overrides": { diff --git a/src/Documentation/data/MathNotationOutput.json b/src/Documentation/data/MathNotationOutput.json index 85291f84e..55a51a606 100644 --- a/src/Documentation/data/MathNotationOutput.json +++ b/src/Documentation/data/MathNotationOutput.json @@ -1 +1 @@ -{"0.5\\ \\textit{Water}+0.2\\ \\textit{Chemicals} \\Rightarrow 1\\ \\textit{Plants}+1\\ \\textit{Food}":"0.5 Water+0.2 Chemicals⇒1 Plants+1 Food","{c_{1}}":"c1","{c_{2}}":"c2","{c_{3}}":"c3","{c_{4}}":"c4","{s_{1}}":"s1","{s_{2}}":"s2","{s_{3}}":"s3","{s_{4}}":"s4","F(x,y,z,w) = \\sum_{i = 1}^{6}\\left( (1 + 0.002\\ast x)^{c_{1}}\\ast(1 + 0.002\\ast y)^{c_{2}}{\\ast(1 + 0.002\\ast z)}^{c_{3}}{\\ast(1 + 0.002\\ast w)}^{c_{4}} \\right)^{0.73}":"F(x,y,z,w)=∑i=16((1+0.002∗x)c1∗(1+0.002∗y)c2∗(1+0.002∗z)c3∗(1+0.002∗w)c4)0.73","F(x,y,z,w) = (1 + 0.002\\ast x)^{c_{1}}\\ast(1 + 0.002\\ast y)^{c_{2}}{\\ast(1 + 0.002\\ast z)}^{c_{3}}{\\ast(1 + 0.002\\ast w)}^{c_{4}}":"F(x,y,z,w)=(1+0.002∗x)c1∗(1+0.002∗y)c2∗(1+0.002∗z)c3∗(1+0.002∗w)c4","G(x,y,z,w) = s_{1}\\ast x + s_{2}\\ast y + s_{3}\\ast z + s_{4}\\ast w = S":"G(x,y,z,w)=s1∗x+s2∗y+s3∗z+s4∗w=S","F(x,y,z,w)":"F(x,y,z,w)","G(x,y,z,w)":"G(x,y,z,w)","\\begin{cases} \\frac{\\partial F}{\\partial x} &= \\lambda\\frac{\\partial G}{\\partial x} \\newline \\frac{\\partial F}{\\partial y} &= \\lambda\\frac{\\partial G}{\\partial y} \\newline \\frac{\\partial F}{\\partial z} &= \\lambda\\frac{\\partial G}{\\partial z} \\newline \\frac{\\partial F}{\\partial w} &= \\lambda\\frac{\\partial G}{\\partial w} \\newline G(x,y,z,w) &= S\\end{cases}":"{∂F∂x=λ∂G∂x∂F∂y=λ∂G∂y∂F∂z=λ∂G∂z∂F∂w=λ∂G∂wG(x,y,z,w)=S","x\\ast s_{1} = \\frac{S - 500\\ast\\left( \\frac{s_{1}}{c_{1}}\\ast\\left( c_{2} + c_{3} + c_{4} \\right) - \\left( s_{2} + s_{3} + s_{4} \\right) \\right)}{\\frac{c_{1} + c_{2} + c_{3} + c_{4}}{c_{1}}}":"x∗s1=S−500∗(s1c1∗(c2+c3+c4)−(s2+s3+s4))c1+c2+c3+c4c1","y\\ast s_{2} = \\frac{S - 500\\ast\\left( \\frac{s_{2}}{c_{2}}\\ast\\left( c_{1} + c_{3} + c_{4} \\right) - \\left( s_{1} + s_{3} + s_{4} \\right) \\right)}{\\frac{c_{1} + c_{2} + c_{3} + c_{4}}{c_{2}}}":"y∗s2=S−500∗(s2c2∗(c1+c3+c4)−(s1+s3+s4))c1+c2+c3+c4c2","z\\ast s_{3} = \\frac{S - 500\\ast\\left( \\frac{s_{3}}{c_{3}}\\ast\\left( c_{1} + c_{2} + c_{4} \\right) - \\left( s_{1} + s_{2} + s_{4} \\right) \\right)}{\\frac{c_{1} + c_{2} + c_{3} + c_{4}}{c_{3}}}":"z∗s3=S−500∗(s3c3∗(c1+c2+c4)−(s1+s2+s4))c1+c2+c3+c4c3","w\\ast s_{4} = \\frac{S - 500\\ast\\left( \\frac{s_{4}}{c_{4}}\\ast\\left( c_{1} + c_{2} + c_{3} \\right) - \\left( s_{1} + s_{2} + s_{3} \\right) \\right)}{\\frac{c_{1} + c_{2} + c_{3} + c_{4}}{c_{4}}}":"w∗s4=S−500∗(s4c4∗(c1+c2+c3)−(s1+s2+s3))c1+c2+c3+c4c4","k = 0.002":"k=0.002","\\begin{cases}\\frac{\\partial F}{\\partial x} = \\left( k\\ast c_{1}\\ast(1 + k\\ast x)^{c_{1} - 1} \\right)\\ast(1 + k\\ast y)^{c_{2}}\\ast(1 + k\\ast z)^{c_{3}}\\ast(1 + k\\ast w)^{c_{4}} = \\lambda\\ast s_{1} \\newline \\frac{\\partial F}{\\partial y} = (1 + k\\ast x)^{c_{1}}\\ast\\left( k\\ast c_{2}\\ast(1 + k\\ast y)^{c_{2} - 1} \\right)\\ast(1 + k\\ast z)^{c_{3}}\\ast(1 + k\\ast w)^{c_{4}} = \\lambda\\ast s_{2} \\end{cases}":"{∂F∂x=(k∗c1∗(1+k∗x)c1−1)∗(1+k∗y)c2∗(1+k∗z)c3∗(1+k∗w)c4=λ∗s1∂F∂y=(1+k∗x)c1∗(k∗c2∗(1+k∗y)c2−1)∗(1+k∗z)c3∗(1+k∗w)c4=λ∗s2","k\\ast c_{1}\\ast(1 + k\\ast x)^{- 1}\\ast s_{2} = k\\ast c_{2}\\ast(1 + k\\ast y)^{- 1}\\ast s_{1}":"k∗c1∗(1+k∗x)−1∗s2=k∗c2∗(1+k∗y)−1∗s1","c_{1}\\ast s_{2}\\ast(1 + k\\ast y) = c_{2}\\ast s_{1}\\ast(1 + k\\ast x)":"c1∗s2∗(1+k∗y)=c2∗s1∗(1+k∗x)","1 + k\\ast y = \\frac{c_{2}\\ast s_{1}}{c_{1}\\ast s_{2}}\\ast(1 + k\\ast x)":"1+k∗y=c2∗s1c1∗s2∗(1+k∗x)","y = \\frac{c_{2}\\ast s_{1} + k\\ast x\\ast c_{2}\\ast s_{1} - c_{1}\\ast s_{2}}{k\\ast c_{1}\\ast s_{2}}":"y=c2∗s1+k∗x∗c2∗s1−c1∗s2k∗c1∗s2","y\\ast s_{2} = \\frac{c_{2}\\ast s_{1}\\ast s_{2} + k\\ast x\\ast c_{2}\\ast s_{1}\\ast s_{2} - c_{1}\\ast s_{2}\\ast s_{2}}{k\\ast c_{1}\\ast s_{2}}":"y∗s2=c2∗s1∗s2+k∗x∗c2∗s1∗s2−c1∗s2∗s2k∗c1∗s2","y\\ast s_{2} = \\frac{c_{2}\\ast s_{1}}{k\\ast c_{1}} + \\frac{x\\ast c_{2}\\ast s_{1}}{c_{1}} - \\frac{s_{2}}{k}":"y∗s2=c2∗s1k∗c1+x∗c2∗s1c1−s2k","y\\ast s_{2} = \\frac{c_{2}}{c_{1}}\\ast x\\ast s_{1} + \\frac{1}{k}\\ast\\frac{c_{2}\\ast s_{1} - c_{1}\\ast s_{2}}{c_{1}}":"y∗s2=c2c1∗x∗s1+1k∗c2∗s1−c1∗s2c1","y\\ast s_{2} = \\frac{c_{2}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{2}\\ast s_{1} - c_{1}\\ast s_{2}}{c_{1}}":"y∗s2=c2c1∗x∗s1+500∗c2∗s1−c1∗s2c1","z\\ast s_{3} = \\frac{c_{3}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{3}\\ast s_{1} - c_{1}\\ast s_{3}}{c_{1}}":"z∗s3=c3c1∗x∗s1+500∗c3∗s1−c1∗s3c1","w\\ast s_{4} = \\frac{c_{4}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{4}\\ast s_{1} - c_{1}\\ast s_{4}}{c_{1}}":"w∗s4=c4c1∗x∗s1+500∗c4∗s1−c1∗s4c1","x\\ast s_{1} + y\\ast s_{2} + z\\ast s_{3} + w\\ast s_{4} = S":"x∗s1+y∗s2+z∗s3+w∗s4=S","x\\ast s_{1} + \\frac{c_{2}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{2}\\ast s_{1} - c_{1}\\ast s_{2}}{c_{1}} + \\frac{c_{3}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{3}\\ast s_{1} - c_{1}\\ast s_{3}}{c_{1}} + \\frac{c_{4}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{4}\\ast s_{1} - c_{1}\\ast s_{4}}{c_{1}} = S":"x∗s1+c2c1∗x∗s1+500∗c2∗s1−c1∗s2c1+c3c1∗x∗s1+500∗c3∗s1−c1∗s3c1+c4c1∗x∗s1+500∗c4∗s1−c1∗s4c1=S","\\frac{x\\ast s_{1}\\ast\\left( c_{1} + c_{2} + c_{3} + c_{4} \\right)}{c_{1}} + \\frac{500}{c_{1}}\\ast\\left( c_{2}\\ast s_{1} - c_{1}\\ast s_{2} + c_{3}\\ast s_{1} - c_{1}\\ast s_{3} + c_{4}\\ast s_{1} - c_{1}\\ast s_{4} \\right) = S":"x∗s1∗(c1+c2+c3+c4)c1+500c1∗(c2∗s1−c1∗s2+c3∗s1−c1∗s3+c4∗s1−c1∗s4)=S","\\frac{x\\ast s_{1}\\ast\\left( c_{1} + c_{2} + c_{3} + c_{4} \\right)}{c_{1}} + \\frac{500}{c_{1}}\\ast\\left( s_{1}\\ast\\left( c_{2} + c_{3} + c_{4}\\ \\right) - c_{1}\\ast\\left( s_{2} + s_{3} + s_{4} \\right) \\right) = S":"x∗s1∗(c1+c2+c3+c4)c1+500c1∗(s1∗(c2+c3+c4 )−c1∗(s2+s3+s4))=S","x\\ast s_{1}\\ast\\frac{c_{1} + c_{2} + c_{3} + c_{4}}{c_{1}} + \\frac{500}{c_{1}}\\ast\\left( s_{1}\\ast\\left( c_{2} + c_{3} + c_{4}\\ \\right) - c_{1}\\ast\\left( s_{2} + s_{3} + s_{4} \\right) \\right) = S":"x∗s1∗c1+c2+c3+c4c1+500c1∗(s1∗(c2+c3+c4 )−c1∗(s2+s3+s4))=S","AmountOfChange = Random(0,3)*0.0004":"AmountOfChange=Random(0,3)∗0.0004","TotalEmployeesProd = OperationsProd + EngineerProd + ManagementProd":"TotalEmployeesProd=OperationsProd+EngineerProd+ManagementProd","ManagementFactor = 1 + \\frac{ManagementProd}{1.2\\ast TotalEmployeesProd}":"ManagementFactor=1+ManagementProd1.2∗TotalEmployeesProd","EmployeeProductionMultiplier = \\left( (OperationsProd)^{0.4} + (EngineerProd)^{0.3} \\right)\\ast ManagementFactor":"EmployeeProductionMultiplier=((OperationsProd)0.4+(EngineerProd)0.3)∗ManagementFactor","BalancingMultiplier = 0.05":"BalancingMultiplier=0.05","OfficeMultiplier = BalancingMultiplier\\ast EmployeeProductionMultiplier":"OfficeMultiplier=BalancingMultiplier∗EmployeeProductionMultiplier","OfficeMultiplier = 0.5\\ast BalancingMultiplier\\ast EmployeeProductionMultiplier":"OfficeMultiplier=0.5∗BalancingMultiplier∗EmployeeProductionMultiplier","AssetDelta = \\frac{TotalAssets - PreviousTotalAssets}{10}":"AssetDelta=TotalAssets−PreviousTotalAssets10","Valuation = \\left( 10^{10} + \\frac{Funds}{3} + AssetDelta\\ast 315000 \\right)\\ast\\left( \\sqrt[12]{1.1} \\right)^{NumberOfOfficesAndWarehouses}":"Valuation=(1010+Funds3+AssetDelta∗315000)∗(1.112)NumberOfOfficesAndWarehouses","AssetDelta = AssetDelta\\ast(1 - DividendRate)":"AssetDelta=AssetDelta∗(1−DividendRate)","Valuation = (Funds + AssetDelta\\ast 85000)\\ast\\left(\\sqrt[12]{1.1}\\right)^{NumberOfOfficesAndWarehouses}":"Valuation=(Funds+AssetDelta∗85000)∗(1.112)NumberOfOfficesAndWarehouses","10^{10}":"1010","FundingRoundShares = [0.1, 0.35, 0.25, 0.2]":"FundingRoundShares=[0.1,0.35,0.25,0.2]","FundingRoundMultiplier = [3, 2, 2, 1.5]":"FundingRoundMultiplier=[3,2,2,1.5]","Offer = CorporationValuation\\ast FundingRoundShares\\ast FundingRoundMultiplier":"Offer=CorporationValuation∗FundingRoundShares∗FundingRoundMultiplier","TributeModifier = 1.15 - CorporationSoftcap":"TributeModifier=1.15−CorporationSoftcap","TotalDividends = DividendRate\\ast(Revenue - Expenses)\\ast 10":"TotalDividends=DividendRate∗(Revenue−Expenses)∗10","Dividend = \\left(OwnedShares\\ast\\frac{TotalDividends}{TotalShares}\\right)^{1 - TributeModifier}":"Dividend=(OwnedShares∗TotalDividendsTotalShares)1−TributeModifier","RetainedEarning = (1 - DividendRate)\\ast(Revenue - Expenses)\\ast 10":"RetainedEarning=(1−DividendRate)∗(Revenue−Expenses)∗10","OwnershipPercentage = \\frac{OwnedShares}{TotalShares}":"OwnershipPercentage=OwnedSharesTotalShares","TargetSharePrice = \\frac{CorporationValuation*\\left(0.5+\\sqrt{OwnershipPercentage}\\right)}{TotalShares}":"TargetSharePrice=CorporationValuation∗(0.5+OwnershipPercentage)TotalShares","SharePrice = \\begin{cases} SharePrice\\ast(1 + Math.random()\\ast 0.01), & SharePrice \\leq TargetSharePrice \\newline SharePrice\\ast(1 - Math.random()\\ast 0.01), & SharePrice > TargetSharePrice\\end{cases}":"SharePrice={SharePrice∗(1+Math.random()∗0.01),SharePrice≤TargetSharePriceSharePrice∗(1−Math.random()∗0.01),SharePrice>TargetSharePrice","NewOwnershipPercentage = \\frac{OwnedShares}{TotalShares+NewShares}":"NewOwnershipPercentage=OwnedSharesTotalShares+NewShares","NewSharePrice = \\frac{CorporationValuation\\ast\\left(0.5+\\sqrt{NewOwnershipPercentage}\\right)}{TotalShares}":"NewSharePrice=CorporationValuation∗(0.5+NewOwnershipPercentage)TotalShares","Profit = {NewShares\\ast(SharePrice + NewSharePrice)}\\ast{0.5}":"Profit=NewShares∗(SharePrice+NewSharePrice)∗0.5","Cooldown = DefaultCooldown\\ast\\frac{TotalShares}{10^{9}}":"Cooldown=DefaultCooldown∗TotalShares109","MaxPrivateShares = {NewShares}\\ast{0.5}\\ast\\frac{InvestorShares}{TotalShares}":"MaxPrivateShares=NewShares∗0.5∗InvestorSharesTotalShares","InvestorShares = InvestorShares + PrivateShares":"InvestorShares=InvestorShares+PrivateShares","IssuedShares = IssuedShares + NewShares - PrivateShares":"IssuedShares=IssuedShares+NewShares−PrivateShares","10^{14}":"1014","10^6":"106","OwnershipPercentage = \\frac{OwnedShares - ProcessedShares}{TotalShares}":"OwnershipPercentage=OwnedShares−ProcessedSharesTotalShares","TargetSharePrice = \\frac{CorporationValuation\\ast\\left(0.5 + \\sqrt{OwnershipPercentage}\\right)}{TotalShares}":"TargetSharePrice=CorporationValuation∗(0.5+OwnershipPercentage)TotalShares","SharePrice = \\begin{cases} SharePrice\\ast 1.005, SharePrice \\leq TargetSharePrice \\newline SharePrice\\ast 0.995, SharePrice > TargetSharePrice\\end{cases}":"SharePrice={SharePrice∗1.005,SharePrice≤TargetSharePriceSharePrice∗0.995,SharePrice>TargetSharePrice","\\left(100-\\frac{700}{10}\\right)=\\left(-100+\\frac{700}{10}\\right)\\ast(-1)=\\left(IPROD+\\frac{IINV}{10}\\right)\\ast(-1)":"(100−70010)=(−100+70010)∗(−1)=(IPROD+IINV10)∗(−1)","TotalExperienceGain = 0.0015\\ast(TotalEmployees - UnassignedEmployees + InternEmployees\\ast 9)":"TotalExperienceGain=0.0015∗(TotalEmployees−UnassignedEmployees+InternEmployees∗9)","Salary = 3\\ast TotalEmployees\\ast\\left(AvgIntelligence+AvgCharisma+AvgCreativity+AvgEfficiency+\\frac{TotalExperience}{TotalEmployees}\\right)":"Salary=3∗TotalEmployees∗(AvgIntelligence+AvgCharisma+AvgCreativity+AvgEfficiency+TotalExperienceTotalEmployees)","UpgradeCost = BasePrice\\ast\\left( \\frac{\\sqrt[3]{1.09} - 1}{0.09} \\right)\\ast{1.09}^{\\frac{CurrentSize}{3}}":"UpgradeCost=BasePrice∗(1.093−10.09)∗1.09CurrentSize3","UpgradeCost_{From\\ 3\\ to\\ n} = \\sum_{k = 3}^{n - 1}{BasePrice\\ast\\left( \\frac{\\sqrt[3]{1.09} - 1}{0.09} \\right)\\ast{1.09}^{\\frac{k}{3}}}":"UpgradeCostFrom 3 to n=∑k=3n−1BasePrice∗(1.093−10.09)∗1.09k3","UpgradeCost_{From\\ 3\\ to\\ n} = \\sum_{k = 3}^{n - 1}{BasePrice\\ast\\left( \\frac{\\sqrt[3]{1.09} - 1}{0.09} \\right)\\ast\\left( \\sqrt[3]{1.09} \\right)^{k}}":"UpgradeCostFrom 3 to n=∑k=3n−1BasePrice∗(1.093−10.09)∗(1.093)k","UpgradeCost_{From\\ 3\\ to\\ n} = BasePrice\\ast\\left( \\frac{\\sqrt[3]{1.09} - 1}{0.09} \\right)\\ast\\left( \\frac{\\left( \\sqrt[3]{1.09} \\right)^{n} - 1.09}{\\sqrt[3]{1.09} - 1} \\right)":"UpgradeCostFrom 3 to n=BasePrice∗(1.093−10.09)∗((1.093)n−1.091.093−1)","UpgradeCost_{From\\ 3\\ to\\ n} = BasePrice\\ast\\left( \\frac{{1.09}^{\\frac{n}{3}} - 1.09}{0.09} \\right)":"UpgradeCostFrom 3 to n=BasePrice∗(1.09n3−1.090.09)","UpgradeCost_{From\\ a\\ to\\ b} = BasePrice\\ast\\left( \\frac{{1.09}^{\\frac{b}{3}} - {1.09}^{\\frac{a}{3}}}{0.09} \\right)":"UpgradeCostFrom a to b=BasePrice∗(1.09b3−1.09a30.09)","MaxSize = 3\\ast\\log_{1.09}\\left( MaxCost\\ast\\frac{0.09}{BasePrice} + {1.09}^{\\frac{CurrentSize}{3}} \\right)":"MaxSize=3∗log1.09⁡(MaxCost∗0.09BasePrice+1.09CurrentSize3)","InternMultiplier = 0.002\\ast Min\\left(\\frac{1}{9},\\frac{InternEmployees}{TotalEmployees}-\\frac{1}{9}\\right)\\ast 9":"InternMultiplier=0.002∗Min(19,InternEmployeesTotalEmployees−19)∗9","PenaltyMultiplier = \\begin{cases}0, & (CorpFunds > 0) \\vee (DivisionLastCycleRevenue > DivisionLastCycleExpenses) \\newline 0.001, & (CorpFunds < 0) \\land (DivisionLastCycleRevenue < DivisionLastCycleExpenses)\\end{cases}":"PenaltyMultiplier={0,(CorpFunds>0)∨(DivisionLastCycleRevenue>DivisionLastCycleExpenses)0.001,(CorpFunds<0)∧(DivisionLastCycleRevenue<DivisionLastCycleExpenses)","PerfMult = \\begin{cases}1.002, & TotalEmployees < 9 \\newline 1 + InternMultiplier - PenaltyMultiplier, & TotalEmployees \\geq 9\\end{cases}":"PerfMult={1.002,TotalEmployees<91+InternMultiplier−PenaltyMultiplier,TotalEmployees≥9","PartyMult = 1 + \\frac{PartyCostPerEmployee}{10^{7}}":"PartyMult=1+PartyCostPerEmployee107","IncreaseOfMorale = (PartyMult - 1)\\ast 10":"IncreaseOfMorale=(PartyMult−1)∗10","IncreaseOfMorale = \\frac{PartyCostPerEmployee}{10^{6}}":"IncreaseOfMorale=PartyCostPerEmployee106","\\left( CurrentMorale\\ast PerfMult + \\frac{PartyCostPerEmployee}{10^{6}} \\right)\\ast\\left( 1 + \\frac{PartyCostPerEmployee}{10^{7}} \\right) = MaxMorale":"(CurrentMorale∗PerfMult+PartyCostPerEmployee106)∗(1+PartyCostPerEmployee107)=MaxMorale","a = CurrentMorale":"a=CurrentMorale","b = MaxMorale":"b=MaxMorale","k = PerfMult":"k=PerfMult","x = PartyCostPerEmployee":"x=PartyCostPerEmployee","\\left( a\\ast k + \\frac{x}{10^{6}} \\right)\\ast\\left( 1 + \\frac{x}{10^{7}} \\right) = b":"(a∗k+x106)∗(1+x107)=b","x_{1} = - 500000\\ast\\left( \\sqrt{(a\\ast k - 10)^{2} + 40\\ast b} + a\\ast k + 10 \\right)":"x1=−500000∗((a∗k−10)2+40∗b+a∗k+10)","x_{2} = 500000\\ast\\left( \\sqrt{(a\\ast k - 10)^{2} + 40\\ast b} - a\\ast k - 10 \\right)":"x2=500000∗((a∗k−10)2+40∗b−a∗k−10)","x_{1}":"x1","x_{2}":"x2","ProductionBase = AvgMorale\\ast AvgEnergy\\ast 10^{-4}":"ProductionBase=AvgMorale∗AvgEnergy∗10−4","Exp = \\frac{TotalExperience}{TotalEmployees}":"Exp=TotalExperienceTotalEmployees","ProductionMultiplier = 0.6\\ast IntelligenceMult + 0.1\\ast CharismaMult + Exp + 0.5\\ast CreativityMult + EfficiencyMult":"ProductionMultiplier=0.6∗IntelligenceMult+0.1∗CharismaMult+Exp+0.5∗CreativityMult+EfficiencyMult","ProductionMultiplier = IntelligenceMult + 0.1\\ast CharismaMult + 1.5\\ast Exp + EfficiencyMult":"ProductionMultiplier=IntelligenceMult+0.1∗CharismaMult+1.5∗Exp+EfficiencyMult","ProductionMultiplier = 0.4\\ast IntelligenceMult + CharismaMult + 0.5\\ast Exp":"ProductionMultiplier=0.4∗IntelligenceMult+CharismaMult+0.5∗Exp","ProductionMultiplier = 2\\ast CharismaMult + Exp + 0.2\\ast CreativityMult + 0.7\\ast EfficiencyMult":"ProductionMultiplier=2∗CharismaMult+Exp+0.2∗CreativityMult+0.7∗EfficiencyMult","ProductionMultiplier = 1.5\\ast IntelligenceMult + 0.8\\ast Exp + CreativityMult + 0.5\\ast EfficiencyMult":"ProductionMultiplier=1.5∗IntelligenceMult+0.8∗Exp+CreativityMult+0.5∗EfficiencyMult","EmployeesJobCount = office.employeeJobs[JobName]":"EmployeesJobCount=office.employeeJobs[JobName]","EmployeeProductionByJob = EmployeesJobCount\\ast ProductionMultiplier\\ast ProductionBase":"EmployeeProductionByJob=EmployeesJobCount∗ProductionMultiplier∗ProductionBase","n = {Number\\ of\\ input\\ materials}":"n=Number of input materials","ProductMarketPriceMult = 5":"ProductMarketPriceMult=5","ProductMarketPrice = ProductMarketPriceMult\\ast\\sum_{i = 1}^{n}{MaterialMarketPrice_i\\ast MaterialCoefficient_i}":"ProductMarketPrice=ProductMarketPriceMult∗∑i=1nMaterialMarketPricei∗MaterialCoefficienti","MaterialMarkupLimit = \\frac{MaterialQuality}{MaterialMarkup}":"MaterialMarkupLimit=MaterialQualityMaterialMarkup","ProductMarkupLimit = \\frac{Max(ProductEffectiveRating,0.001)}{ProductMarkup}":"ProductMarkupLimit=Max(ProductEffectiveRating,0.001)ProductMarkup","MaxSalesVolume = PotentialSalesVolume\\ast MarkupMultiplier":"MaxSalesVolume=PotentialSalesVolume∗MarkupMultiplier","PotentialSalesVolume = \\ ItemMultiplier\\ast BusinessFactor\\ast AdvertFactor\\ast MarketFactor\\ast SaleBotsBonus\\ast ResearchBonus":"PotentialSalesVolume= ItemMultiplier∗BusinessFactor∗AdvertFactor∗MarketFactor∗SaleBotsBonus∗ResearchBonus","ItemMultiplier = MaterialQuality + 0.001":"ItemMultiplier=MaterialQuality+0.001","ItemMultiplier = 0.5\\ast(ProductEffectiveRating)^{0.65}":"ItemMultiplier=0.5∗(ProductEffectiveRating)0.65","{BusinessFactor = (BusinessProduction)}^{0.26} + \\left({BusinessProduction}\\ast{0.0001}\\right)":"BusinessFactor=(BusinessProduction)0.26+(BusinessProduction∗0.0001)","AwarenessFactor = (Awareness + 1)^{IndustryAdvertisingFactor}":"AwarenessFactor=(Awareness+1)IndustryAdvertisingFactor","PopularityFactor = (Popularity + 1)^{IndustryAdvertisingFactor}":"PopularityFactor=(Popularity+1)IndustryAdvertisingFactor","RatioFactor = \\begin{cases}Max(0.01,\\frac{Popularity + 0.001}{Awareness}), & Awareness \\neq 0 \\newline 0.01, & Awareness = 0 \\end{cases}":"RatioFactor={Max(0.01,Popularity+0.001Awareness),Awareness≠00.01,Awareness=0","AdvertFactor = (AwarenessFactor\\ast PopularityFactor\\ast RatioFactor)^{0.85}":"AdvertFactor=(AwarenessFactor∗PopularityFactor∗RatioFactor)0.85","MarketFactor = Max\\left(0.1,{Demand\\ast(100 - Competition)}\\ast{0.01}\\right)":"MarketFactor=Max(0.1,Demand∗(100−Competition)∗0.01)","MarkupMultiplier = \\begin{cases}10^{12} & SellingPrice \\in (-\\infty, 0] \\newline \\frac{MarketPrice}{SellingPrice} & SellingPrice \\in (0, MarketPrice] \\newline 1 & SellingPrice \\in (MarketPrice, MarketPrice + MarkupLimit] \\newline \\left(\\frac{MarkupLimit}{SellingPrice - MarketPrice}\\right)^{2} & SellingPrice \\in (MarketPrice + MarkupLimit, \\infty) \\end{cases}":"MarkupMultiplier={1012SellingPrice∈(−∞,0]MarketPriceSellingPriceSellingPrice∈(0,MarketPrice]1SellingPrice∈(MarketPrice,MarketPrice+MarkupLimit](MarkupLimitSellingPrice−MarketPrice)2SellingPrice∈(MarketPrice+MarkupLimit,∞)","ExpectedSalesVolume = \\frac{StoredUnits}{10}":"ExpectedSalesVolume=StoredUnits10","MaxSalesVolume = ExpectedSalesVolume":"MaxSalesVolume=ExpectedSalesVolume","PotentialSalesVolume\\ast MarkupMultiplier = ExpectedSalesVolume":"PotentialSalesVolume∗MarkupMultiplier=ExpectedSalesVolume","PotentialSalesVolume\\ast\\left(\\frac{MarkupLimit}{SellingPrice - MarketPrice}\\right)^{2} = ExpectedSalesVolume":"PotentialSalesVolume∗(MarkupLimitSellingPrice−MarketPrice)2=ExpectedSalesVolume","\\frac{MarkupLimit}{SellingPrice - MarketPrice} = \\sqrt{\\frac{ExpectedSalesVolume}{PotentialSalesVolume}}":"MarkupLimitSellingPrice−MarketPrice=ExpectedSalesVolumePotentialSalesVolume","SellingPrice = \\frac{MarkupLimit\\ast\\sqrt{PotentialSalesVolume}}{\\sqrt{ExpectedSalesVolume}} + MarketPrice":"SellingPrice=MarkupLimit∗PotentialSalesVolumeExpectedSalesVolume+MarketPrice","MarkupLimit = (SellingPrice - MarketPrice)\\ast\\sqrt{\\frac{ActualSalesVolume}{M}}":"MarkupLimit=(SellingPrice−MarketPrice)∗ActualSalesVolumeM","TotalEmployeeProd = OperationsProd + EngineerProd + ManagementProd":"TotalEmployeeProd=OperationsProd+EngineerProd+ManagementProd","ManagementFactor = 1 + \\frac{ManagementProd}{1.2\\ast TotalEmployeeProd}":"ManagementFactor=1+ManagementProd1.2∗TotalEmployeeProd","ProductDevelopmentMultiplier = \\left( (EngineerProd)^{0.34} + (OperationsProd)^{0.2} \\right)\\ast ManagementFactor":"ProductDevelopmentMultiplier=((EngineerProd)0.34+(OperationsProd)0.2)∗ManagementFactor","Progress = 0.01\\ast ProductDevelopmentMultiplier":"Progress=0.01∗ProductDevelopmentMultiplier","DevelopmentProgress = DevelopmentProgress + Progress":"DevelopmentProgress=DevelopmentProgress+Progress","CreationJobFactors\\lbrack JobName\\rbrack = CreationJobFactors\\lbrack JobName\\rbrack + {\\lbrace EmployeeJob\\rbrace Prod\\ast Progress}\\ast{0.01}":"CreationJobFactors[JobName]=CreationJobFactors[JobName]+{EmployeeJob}Prod∗Progress∗0.01","A = \\ CreationJobFactors\\lbrack Engineer\\rbrack":"A= CreationJobFactors[Engineer]","B = \\ CreationJobFactors\\lbrack Management\\rbrack":"B= CreationJobFactors[Management]","C = \\ CreationJobFactors\\lbrack RnD\\rbrack":"C= CreationJobFactors[RnD]","D = \\ CreationJobFactors\\lbrack Operations\\rbrack":"D= CreationJobFactors[Operations]","E = \\ CreationJobFactors\\lbrack Business\\rbrack":"E= CreationJobFactors[Business]","TotalCreationJobFactors = A + B + C + D + E":"TotalCreationJobFactors=A+B+C+D+E","EngineerRatio = \\frac{A}{TotalCreationJobFactors}":"EngineerRatio=ATotalCreationJobFactors","ManagementRatio = \\frac{B}{TotalCreationJobFactors}":"ManagementRatio=BTotalCreationJobFactors","RnDRatio = \\frac{C}{TotalCreationJobFactors}":"RnDRatio=CTotalCreationJobFactors","OperationsRatio = \\frac{D}{TotalCreationJobFactors}":"OperationsRatio=DTotalCreationJobFactors","BusinessRatio = \\frac{E}{TotalCreationJobFactors}":"BusinessRatio=ETotalCreationJobFactors","DesignInvestMult = 1 + {(DesignInvestment)^{0.1}}\\ast{0.01}":"DesignInvestMult=1+(DesignInvestment)0.1∗0.01","ScienceMult = 1 + {(RP)^{ResearchFactor}}\\ast{0.00125}":"ScienceMult=1+(RP)ResearchFactor∗0.00125","BalanceMult = 1.2\\ast EngineerRatio + 0.9\\ast ManagementRatio + 1.3\\ast RnDRatio + 1.5\\ast OperationsRatio + BusinessRatio":"BalanceMult=1.2∗EngineerRatio+0.9∗ManagementRatio+1.3∗RnDRatio+1.5∗OperationsRatio+BusinessRatio","TotalMult = BalanceMult\\ast DesignInvestMult\\ast ScienceMult":"TotalMult=BalanceMult∗DesignInvestMult∗ScienceMult","TotalMult\\ast (0.1\\ast A + 0.05\\ast B + 0.05\\ast C + 0.02\\ast D + 0.02\\ast E)":"TotalMult∗(0.1∗A+0.05∗B+0.05∗C+0.02∗D+0.02∗E)","TotalMult\\ast (0.15\\ast A + 0.02\\ast B + 0.02\\ast C + 0.02\\ast D + 0.02\\ast E)":"TotalMult∗(0.15∗A+0.02∗B+0.02∗C+0.02∗D+0.02∗E)","TotalMult\\ast (0.05\\ast A + 0.02\\ast B + 0.08\\ast C + 0.05\\ast D + 0.05\\ast E)":"TotalMult∗(0.05∗A+0.02∗B+0.08∗C+0.05∗D+0.05∗E)","TotalMult\\ast (0.02\\ast A + 0.08\\ast B + 0.02\\ast C + 0.05\\ast D + 0.08\\ast E)":"TotalMult∗(0.02∗A+0.08∗B+0.02∗C+0.05∗D+0.08∗E)","TotalMult\\ast (0.08\\ast B + 0.05\\ast C + 0.02\\ast D + 0.1\\ast E)":"TotalMult∗(0.08∗B+0.05∗C+0.02∗D+0.1∗E)","TotalMult\\ast (0.08\\ast A + 0.05\\ast B + 0.02\\ast C + 0.05\\ast D + 0.05\\ast E)":"TotalMult∗(0.08∗A+0.05∗B+0.02∗C+0.05∗D+0.05∗E)","ProductRating = \\sum_{i = 1}^{6}{{ProductStat}_i\\ast{StatCoefficient}_i}":"ProductRating=∑i=16ProductStati∗StatCoefficienti","AdvertInvestMult = 1 + {(AdvertisingInvestment)^{0.1}}\\ast{0.01}":"AdvertInvestMult=1+(AdvertisingInvestment)0.1∗0.01","BusinessManagementRatio = Max\\left( BusinessRatio + ManagementRatio,\\ \\left( \\frac{1}{TotalCreationJobFactors} \\right) \\right)":"BusinessManagementRatio=Max(BusinessRatio+ManagementRatio, (1TotalCreationJobFactors))","ProductMarkup = \\frac{100}{AdvertInvestMult\\ast(ProductQuality + 0.001)^{0.65}\\ast BusinessManagementRatio}":"ProductMarkup=100AdvertInvestMult∗(ProductQuality+0.001)0.65∗BusinessManagementRatio","Demand = \\begin{cases}Min(100,AdvertInvestMult\\ast(100\\ast(Popularity/Awareness))), & Awareness \\neq 0 \\newline 20, & Awareness = 0 \\end{cases}":"Demand={Min(100,AdvertInvestMult∗(100∗(Popularity/Awareness))),Awareness≠020,Awareness=0","Competition = Random(0,70)":"Competition=Random(0,70)","ProductSize = \\sum_{i = 1}^{NumberOfInputMaterials}{{InputMaterialSize}_i\\ast{InputMaterialCoefficient}_i}":"ProductSize=∑i=1NumberOfInputMaterialsInputMaterialSizei∗InputMaterialCoefficienti","Quality = \\frac{Quality\\ast CurrentQuantity + BuyAmount}{CurrentQuantity + BuyAmount}":"Quality=Quality∗CurrentQuantity+BuyAmountCurrentQuantity+BuyAmount","Quality = \\frac{Quality\\ast CurrentQuantity + ImportQuality\\ast ImportAmount}{CurrentQuantity + ImportAmount}":"Quality=Quality∗CurrentQuantity+ImportQuality∗ImportAmountCurrentQuantity+ImportAmount","EngineerSummand = \\frac{EngineerProduction}{90}":"EngineerSummand=EngineerProduction90","ResearchPointSummand = (RP)^{IndustryScienceFactor}":"ResearchPointSummand=(RP)IndustryScienceFactor","AICoresSummand = AICoresQuantity^{IndustryAICoreFactor}\\ast{0.001}":"AICoresSummand=AICoresQuantityIndustryAICoreFactor∗0.001","OutputQuality = \\sqrt{MaxOutputQuality}\\ast AvgInputQuality":"OutputQuality=MaxOutputQuality∗AvgInputQuality","OutputRating = \\sqrt{MaxOutputRating}\\ast AvgInputQuality":"OutputRating=MaxOutputRating∗AvgInputQuality","UpgradeCost = BasePrice\\ast{PriceMult}^{CurrentLevel}":"UpgradeCost=BasePrice∗PriceMultCurrentLevel","UpgradeCost_{From\\ 0\\ to\\ n} = \\sum_{k = 0}^{n - 1}{BasePrice\\ast {PriceMult}^k}":"UpgradeCostFrom 0 to n=∑k=0n−1BasePrice∗PriceMultk","UpgradeCost_{From\\ 0\\ to\\ n} = BasePrice\\ast\\left( \\frac{1 - {PriceMult}^{n}}{1 - PriceMult} \\right)":"UpgradeCostFrom 0 to n=BasePrice∗(1−PriceMultn1−PriceMult)","UpgradeCost_{From\\ 0\\ to\\ n} = BasePrice\\ast\\left( \\frac{{PriceMult}^{n} - 1}{PriceMult - 1} \\right)":"UpgradeCostFrom 0 to n=BasePrice∗(PriceMultn−1PriceMult−1)","UpgradeCost_{From\\ a\\ to\\ b} = \\sum_{k = 0}^{b - 1}{BasePrice\\ast {PriceMult}^k} - \\sum_{k = 0}^{a - 1}{BasePrice\\ast {PriceMult}^k}":"UpgradeCostFrom a to b=∑k=0b−1BasePrice∗PriceMultk−∑k=0a−1BasePrice∗PriceMultk","UpgradeCost_{From\\ a\\ to\\ b} = BasePrice\\ast\\left( \\frac{{PriceMult}^{b} - 1}{PriceMult - 1} \\right) - BasePrice\\ast\\left( \\frac{{PriceMult}^{a} - 1}{PriceMult - 1} \\right)":"UpgradeCostFrom a to b=BasePrice∗(PriceMultb−1PriceMult−1)−BasePrice∗(PriceMulta−1PriceMult−1)","UpgradeCost_{From\\ a\\ to\\ b} = BasePrice\\ast\\left( \\frac{{PriceMult}^{b} - {PriceMult}^{a}}{PriceMult - 1} \\right)":"UpgradeCostFrom a to b=BasePrice∗(PriceMultb−PriceMultaPriceMult−1)","MaxUpgradeLevel = \\log_{PriceMult}\\left( MaxCost\\ast\\frac{PriceMult - 1}{BasePrice} + (PriceMult)^{CurrentLevel} \\right)":"MaxUpgradeLevel=logPriceMult⁡(MaxCost∗PriceMult−1BasePrice+(PriceMult)CurrentLevel)","Benefit = BaseBenefit + Benefit\\ast CurrentLevel":"Benefit=BaseBenefit+Benefit∗CurrentLevel","RPGain = 0.004\\ast(RnDProduction)^{0.5}\\ast UpgradeMultiplier\\ast ResearchMultiplier":"RPGain=0.004∗(RnDProduction)0.5∗UpgradeMultiplier∗ResearchMultiplier","UpgradeCost = BasePrice\\ast{1.07}^{CurrentLevel + 1}":"UpgradeCost=BasePrice∗1.07CurrentLevel+1","UpgradeCost_{From\\ 1\\ to\\ n} = \\sum_{k = 2}^{n}{BasePrice\\ast {1.07}^k}":"UpgradeCostFrom 1 to n=∑k=2nBasePrice∗1.07k","UpgradeCost_{From\\ 1\\ to\\ n} = BasePrice\\ast\\left( \\frac{{1.07}^{n + 1} - {1.07}^{2}}{0.07} \\right)":"UpgradeCostFrom 1 to n=BasePrice∗(1.07n+1−1.0720.07)","UpgradeCost_{From\\ a\\ to\\ b} = BasePrice\\ast\\left( \\frac{{1.07}^{b + 1} - {1.07}^{a + 1}}{0.07} \\right)":"UpgradeCostFrom a to b=BasePrice∗(1.07b+1−1.07a+10.07)","MaxLevel = (log_{1.07}\\left(MaxCost\\ast\\frac{0.07}{BasePrice} + {1.07}^{CurrentLevel+1} \\right)) - 1":"MaxLevel=(log1.07(MaxCost∗0.07BasePrice+1.07CurrentLevel+1))−1","WarehouseSize = WarehouseLevel\\ast 100\\ast UpgradeMultiplier\\ast ResearchMultiplier":"WarehouseSize=WarehouseLevel∗100∗UpgradeMultiplier∗ResearchMultiplier","AdvertMultiplier = WilsonUpgradeBenefit\\ast ResearchAdvertisingMultiplier":"AdvertMultiplier=WilsonUpgradeBenefit∗ResearchAdvertisingMultiplier","Awareness = (Awareness + 3\\ast AdvertMultiplier)\\ast(1.005*AdvertMultiplier)":"Awareness=(Awareness+3∗AdvertMultiplier)∗(1.005∗AdvertMultiplier)","Popularity = (Popularity + AdvertMultiplier)\\ast(1 + {Random(1,3)}\\ast{0.005})\\ast AdvertMultiplier":"Popularity=(Popularity+AdvertMultiplier)∗(1+Random(1,3)∗0.005)∗AdvertMultiplier","reputation = \\frac{\\text{donation amount} \\cdot \\text{reputation multiplier}}{10^{6}}":"reputation=donation amount⋅reputation multiplier106","\\large{cost = 10^9 \\cdot 7.5 ^{\\text{cores}}}":"cost=109⋅7.5cores","\\large{cost = ram \\cdot 3.2 \\cdot 10^4 \\cdot 1.58^{log_2{(ram)}}} \\cdot HomeRamCostMult":"cost=ram⋅3.2⋅104⋅1.58log2(ram)⋅HomeRamCostMult","\\huge{\\Delta r = \\Delta r \\times \\frac{100+favor}{100}}":"Δr=Δr×100+favor100","\\huge{favor=\\log_{1.02}\\left(1+\\frac{r}{25000}\\right)}":"favor=log1.02⁡(1+r25000)","\\text{multiplier} = \\left((\\text{awareness}+1)^{\\alpha} \\times (\\text{popularity}+1)^{\\alpha} \\times \\frac{\\text{popularity}+0.001}{\\text{awareness}}\\right)^{0.85}":"multiplier=((awareness+1)α×(popularity+1)α×popularity+0.001awareness)0.85"} \ No newline at end of file +{"0.5\\ \\textit{Water}+0.2\\ \\textit{Chemicals} \\Rightarrow 1\\ \\textit{Plants}+1\\ \\textit{Food}":"0.5 Water+0.2 Chemicals⇒1 Plants+1 Food","{c_{1}}":"c1","{c_{2}}":"c2","{c_{3}}":"c3","{c_{4}}":"c4","{s_{1}}":"s1","{s_{2}}":"s2","{s_{3}}":"s3","{s_{4}}":"s4","F(x,y,z,w) = \\sum_{i = 1}^{6}\\left( (1 + 0.002\\ast x)^{c_{1}}\\ast(1 + 0.002\\ast y)^{c_{2}}{\\ast(1 + 0.002\\ast z)}^{c_{3}}{\\ast(1 + 0.002\\ast w)}^{c_{4}} \\right)^{0.73}":"F(x,y,z,w)=∑i=16((1+0.002∗x)c1∗(1+0.002∗y)c2∗(1+0.002∗z)c3∗(1+0.002∗w)c4)0.73","F(x,y,z,w) = (1 + 0.002\\ast x)^{c_{1}}\\ast(1 + 0.002\\ast y)^{c_{2}}{\\ast(1 + 0.002\\ast z)}^{c_{3}}{\\ast(1 + 0.002\\ast w)}^{c_{4}}":"F(x,y,z,w)=(1+0.002∗x)c1∗(1+0.002∗y)c2∗(1+0.002∗z)c3∗(1+0.002∗w)c4","G(x,y,z,w) = s_{1}\\ast x + s_{2}\\ast y + s_{3}\\ast z + s_{4}\\ast w = S":"G(x,y,z,w)=s1∗x+s2∗y+s3∗z+s4∗w=S","F(x,y,z,w)":"F(x,y,z,w)","G(x,y,z,w)":"G(x,y,z,w)","\\begin{cases} \\frac{\\partial F}{\\partial x} &= \\lambda\\frac{\\partial G}{\\partial x} \\newline \\frac{\\partial F}{\\partial y} &= \\lambda\\frac{\\partial G}{\\partial y} \\newline \\frac{\\partial F}{\\partial z} &= \\lambda\\frac{\\partial G}{\\partial z} \\newline \\frac{\\partial F}{\\partial w} &= \\lambda\\frac{\\partial G}{\\partial w} \\newline G(x,y,z,w) &= S\\end{cases}":"{∂F∂x=λ∂G∂x∂F∂y=λ∂G∂y∂F∂z=λ∂G∂z∂F∂w=λ∂G∂wG(x,y,z,w)=S","x\\ast s_{1} = \\frac{S - 500\\ast\\left( \\frac{s_{1}}{c_{1}}\\ast\\left( c_{2} + c_{3} + c_{4} \\right) - \\left( s_{2} + s_{3} + s_{4} \\right) \\right)}{\\frac{c_{1} + c_{2} + c_{3} + c_{4}}{c_{1}}}":"x∗s1=S−500∗(s1c1∗(c2+c3+c4)−(s2+s3+s4))c1+c2+c3+c4c1","y\\ast s_{2} = \\frac{S - 500\\ast\\left( \\frac{s_{2}}{c_{2}}\\ast\\left( c_{1} + c_{3} + c_{4} \\right) - \\left( s_{1} + s_{3} + s_{4} \\right) \\right)}{\\frac{c_{1} + c_{2} + c_{3} + c_{4}}{c_{2}}}":"y∗s2=S−500∗(s2c2∗(c1+c3+c4)−(s1+s3+s4))c1+c2+c3+c4c2","z\\ast s_{3} = \\frac{S - 500\\ast\\left( \\frac{s_{3}}{c_{3}}\\ast\\left( c_{1} + c_{2} + c_{4} \\right) - \\left( s_{1} + s_{2} + s_{4} \\right) \\right)}{\\frac{c_{1} + c_{2} + c_{3} + c_{4}}{c_{3}}}":"z∗s3=S−500∗(s3c3∗(c1+c2+c4)−(s1+s2+s4))c1+c2+c3+c4c3","w\\ast s_{4} = \\frac{S - 500\\ast\\left( \\frac{s_{4}}{c_{4}}\\ast\\left( c_{1} + c_{2} + c_{3} \\right) - \\left( s_{1} + s_{2} + s_{3} \\right) \\right)}{\\frac{c_{1} + c_{2} + c_{3} + c_{4}}{c_{4}}}":"w∗s4=S−500∗(s4c4∗(c1+c2+c3)−(s1+s2+s3))c1+c2+c3+c4c4","k = 0.002":"k=0.002","\\begin{cases}\\frac{\\partial F}{\\partial x} = \\left( k\\ast c_{1}\\ast(1 + k\\ast x)^{c_{1} - 1} \\right)\\ast(1 + k\\ast y)^{c_{2}}\\ast(1 + k\\ast z)^{c_{3}}\\ast(1 + k\\ast w)^{c_{4}} = \\lambda\\ast s_{1} \\newline \\frac{\\partial F}{\\partial y} = (1 + k\\ast x)^{c_{1}}\\ast\\left( k\\ast c_{2}\\ast(1 + k\\ast y)^{c_{2} - 1} \\right)\\ast(1 + k\\ast z)^{c_{3}}\\ast(1 + k\\ast w)^{c_{4}} = \\lambda\\ast s_{2} \\end{cases}":"{∂F∂x=(k∗c1∗(1+k∗x)c1−1)∗(1+k∗y)c2∗(1+k∗z)c3∗(1+k∗w)c4=λ∗s1∂F∂y=(1+k∗x)c1∗(k∗c2∗(1+k∗y)c2−1)∗(1+k∗z)c3∗(1+k∗w)c4=λ∗s2","k\\ast c_{1}\\ast(1 + k\\ast x)^{- 1}\\ast s_{2} = k\\ast c_{2}\\ast(1 + k\\ast y)^{- 1}\\ast s_{1}":"k∗c1∗(1+k∗x)−1∗s2=k∗c2∗(1+k∗y)−1∗s1","c_{1}\\ast s_{2}\\ast(1 + k\\ast y) = c_{2}\\ast s_{1}\\ast(1 + k\\ast x)":"c1∗s2∗(1+k∗y)=c2∗s1∗(1+k∗x)","1 + k\\ast y = \\frac{c_{2}\\ast s_{1}}{c_{1}\\ast s_{2}}\\ast(1 + k\\ast x)":"1+k∗y=c2∗s1c1∗s2∗(1+k∗x)","y = \\frac{c_{2}\\ast s_{1} + k\\ast x\\ast c_{2}\\ast s_{1} - c_{1}\\ast s_{2}}{k\\ast c_{1}\\ast s_{2}}":"y=c2∗s1+k∗x∗c2∗s1−c1∗s2k∗c1∗s2","y\\ast s_{2} = \\frac{c_{2}\\ast s_{1}\\ast s_{2} + k\\ast x\\ast c_{2}\\ast s_{1}\\ast s_{2} - c_{1}\\ast s_{2}\\ast s_{2}}{k\\ast c_{1}\\ast s_{2}}":"y∗s2=c2∗s1∗s2+k∗x∗c2∗s1∗s2−c1∗s2∗s2k∗c1∗s2","y\\ast s_{2} = \\frac{c_{2}\\ast s_{1}}{k\\ast c_{1}} + \\frac{x\\ast c_{2}\\ast s_{1}}{c_{1}} - \\frac{s_{2}}{k}":"y∗s2=c2∗s1k∗c1+x∗c2∗s1c1−s2k","y\\ast s_{2} = \\frac{c_{2}}{c_{1}}\\ast x\\ast s_{1} + \\frac{1}{k}\\ast\\frac{c_{2}\\ast s_{1} - c_{1}\\ast s_{2}}{c_{1}}":"y∗s2=c2c1∗x∗s1+1k∗c2∗s1−c1∗s2c1","y\\ast s_{2} = \\frac{c_{2}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{2}\\ast s_{1} - c_{1}\\ast s_{2}}{c_{1}}":"y∗s2=c2c1∗x∗s1+500∗c2∗s1−c1∗s2c1","z\\ast s_{3} = \\frac{c_{3}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{3}\\ast s_{1} - c_{1}\\ast s_{3}}{c_{1}}":"z∗s3=c3c1∗x∗s1+500∗c3∗s1−c1∗s3c1","w\\ast s_{4} = \\frac{c_{4}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{4}\\ast s_{1} - c_{1}\\ast s_{4}}{c_{1}}":"w∗s4=c4c1∗x∗s1+500∗c4∗s1−c1∗s4c1","x\\ast s_{1} + y\\ast s_{2} + z\\ast s_{3} + w\\ast s_{4} = S":"x∗s1+y∗s2+z∗s3+w∗s4=S","x\\ast s_{1} + \\frac{c_{2}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{2}\\ast s_{1} - c_{1}\\ast s_{2}}{c_{1}} + \\frac{c_{3}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{3}\\ast s_{1} - c_{1}\\ast s_{3}}{c_{1}} + \\frac{c_{4}}{c_{1}}\\ast x\\ast s_{1} + 500\\ast\\frac{c_{4}\\ast s_{1} - c_{1}\\ast s_{4}}{c_{1}} = S":"x∗s1+c2c1∗x∗s1+500∗c2∗s1−c1∗s2c1+c3c1∗x∗s1+500∗c3∗s1−c1∗s3c1+c4c1∗x∗s1+500∗c4∗s1−c1∗s4c1=S","\\frac{x\\ast s_{1}\\ast\\left( c_{1} + c_{2} + c_{3} + c_{4} \\right)}{c_{1}} + \\frac{500}{c_{1}}\\ast\\left( c_{2}\\ast s_{1} - c_{1}\\ast s_{2} + c_{3}\\ast s_{1} - c_{1}\\ast s_{3} + c_{4}\\ast s_{1} - c_{1}\\ast s_{4} \\right) = S":"x∗s1∗(c1+c2+c3+c4)c1+500c1∗(c2∗s1−c1∗s2+c3∗s1−c1∗s3+c4∗s1−c1∗s4)=S","\\frac{x\\ast s_{1}\\ast\\left( c_{1} + c_{2} + c_{3} + c_{4} \\right)}{c_{1}} + \\frac{500}{c_{1}}\\ast\\left( s_{1}\\ast\\left( c_{2} + c_{3} + c_{4}\\ \\right) - c_{1}\\ast\\left( s_{2} + s_{3} + s_{4} \\right) \\right) = S":"x∗s1∗(c1+c2+c3+c4)c1+500c1∗(s1∗(c2+c3+c4 )−c1∗(s2+s3+s4))=S","x\\ast s_{1}\\ast\\frac{c_{1} + c_{2} + c_{3} + c_{4}}{c_{1}} + \\frac{500}{c_{1}}\\ast\\left( s_{1}\\ast\\left( c_{2} + c_{3} + c_{4}\\ \\right) - c_{1}\\ast\\left( s_{2} + s_{3} + s_{4} \\right) \\right) = S":"x∗s1∗c1+c2+c3+c4c1+500c1∗(s1∗(c2+c3+c4 )−c1∗(s2+s3+s4))=S","AmountOfChange = Random(0,3)*0.0004":"AmountOfChange=Random(0,3)∗0.0004","TotalEmployeesProd = OperationsProd + EngineerProd + ManagementProd":"TotalEmployeesProd=OperationsProd+EngineerProd+ManagementProd","ManagementFactor = 1 + \\frac{ManagementProd}{1.2\\ast TotalEmployeesProd}":"ManagementFactor=1+ManagementProd1.2∗TotalEmployeesProd","EmployeeProductionMultiplier = \\left( (OperationsProd)^{0.4} + (EngineerProd)^{0.3} \\right)\\ast ManagementFactor":"EmployeeProductionMultiplier=((OperationsProd)0.4+(EngineerProd)0.3)∗ManagementFactor","BalancingMultiplier = 0.05":"BalancingMultiplier=0.05","OfficeMultiplier = BalancingMultiplier\\ast EmployeeProductionMultiplier":"OfficeMultiplier=BalancingMultiplier∗EmployeeProductionMultiplier","OfficeMultiplier = 0.5\\ast BalancingMultiplier\\ast EmployeeProductionMultiplier":"OfficeMultiplier=0.5∗BalancingMultiplier∗EmployeeProductionMultiplier","AssetDelta = \\frac{TotalAssets - PreviousTotalAssets}{10}":"AssetDelta=TotalAssets−PreviousTotalAssets10","Valuation = \\left( 10^{10} + \\frac{Funds}{3} + AssetDelta\\ast 315000 \\right)\\ast\\left( \\sqrt[12]{1.1} \\right)^{NumberOfOfficesAndWarehouses}":"Valuation=(1010+Funds3+AssetDelta∗315000)∗(1.112)NumberOfOfficesAndWarehouses","AssetDelta = AssetDelta\\ast(1 - DividendRate)":"AssetDelta=AssetDelta∗(1−DividendRate)","Valuation = (Funds + AssetDelta\\ast 85000)\\ast\\left(\\sqrt[12]{1.1}\\right)^{NumberOfOfficesAndWarehouses}":"Valuation=(Funds+AssetDelta∗85000)∗(1.112)NumberOfOfficesAndWarehouses","10^{10}":"1010","FundingRoundShares = [0.1, 0.35, 0.25, 0.2]":"FundingRoundShares=[0.1,0.35,0.25,0.2]","FundingRoundMultiplier = [3, 2, 2, 1.5]":"FundingRoundMultiplier=[3,2,2,1.5]","Offer = CorporationValuation\\ast FundingRoundShares\\ast FundingRoundMultiplier":"Offer=CorporationValuation∗FundingRoundShares∗FundingRoundMultiplier","TributeModifier = 1.15 - CorporationSoftcap":"TributeModifier=1.15−CorporationSoftcap","TotalDividends = DividendRate\\ast(Revenue - Expenses)\\ast 10":"TotalDividends=DividendRate∗(Revenue−Expenses)∗10","Dividend = \\left(OwnedShares\\ast\\frac{TotalDividends}{TotalShares}\\right)^{1 - TributeModifier}":"Dividend=(OwnedShares∗TotalDividendsTotalShares)1−TributeModifier","RetainedEarning = (1 - DividendRate)\\ast(Revenue - Expenses)\\ast 10":"RetainedEarning=(1−DividendRate)∗(Revenue−Expenses)∗10","OwnershipPercentage = \\frac{OwnedShares}{TotalShares}":"OwnershipPercentage=OwnedSharesTotalShares","TargetSharePrice = \\frac{CorporationValuation*\\left(0.5+\\sqrt{OwnershipPercentage}\\right)}{TotalShares}":"TargetSharePrice=CorporationValuation∗(0.5+OwnershipPercentage)TotalShares","SharePrice = \\begin{cases} SharePrice\\ast(1 + Math.random()\\ast 0.01), & SharePrice \\leq TargetSharePrice \\newline SharePrice\\ast(1 - Math.random()\\ast 0.01), & SharePrice > TargetSharePrice\\end{cases}":"SharePrice={SharePrice∗(1+Math.random()∗0.01),SharePrice≤TargetSharePriceSharePrice∗(1−Math.random()∗0.01),SharePrice>TargetSharePrice","NewOwnershipPercentage = \\frac{OwnedShares}{TotalShares+NewShares}":"NewOwnershipPercentage=OwnedSharesTotalShares+NewShares","NewSharePrice = \\frac{CorporationValuation\\ast\\left(0.5+\\sqrt{NewOwnershipPercentage}\\right)}{TotalShares}":"NewSharePrice=CorporationValuation∗(0.5+NewOwnershipPercentage)TotalShares","Profit = {NewShares\\ast(SharePrice + NewSharePrice)}\\ast{0.5}":"Profit=NewShares∗(SharePrice+NewSharePrice)∗0.5","Cooldown = DefaultCooldown\\ast\\frac{TotalShares}{10^{9}}":"Cooldown=DefaultCooldown∗TotalShares109","MaxPrivateShares = {NewShares}\\ast{0.5}\\ast\\frac{InvestorShares}{TotalShares}":"MaxPrivateShares=NewShares∗0.5∗InvestorSharesTotalShares","InvestorShares = InvestorShares + PrivateShares":"InvestorShares=InvestorShares+PrivateShares","IssuedShares = IssuedShares + NewShares - PrivateShares":"IssuedShares=IssuedShares+NewShares−PrivateShares","10^{14}":"1014","10^6":"106","OwnershipPercentage = \\frac{OwnedShares - ProcessedShares}{TotalShares}":"OwnershipPercentage=OwnedShares−ProcessedSharesTotalShares","TargetSharePrice = \\frac{CorporationValuation\\ast\\left(0.5 + \\sqrt{OwnershipPercentage}\\right)}{TotalShares}":"TargetSharePrice=CorporationValuation∗(0.5+OwnershipPercentage)TotalShares","SharePrice = \\begin{cases} SharePrice\\ast 1.005, SharePrice \\leq TargetSharePrice \\newline SharePrice\\ast 0.995, SharePrice > TargetSharePrice\\end{cases}":"SharePrice={SharePrice∗1.005,SharePrice≤TargetSharePriceSharePrice∗0.995,SharePrice>TargetSharePrice","\\left(100-\\frac{700}{10}\\right)=\\left(-100+\\frac{700}{10}\\right)\\ast(-1)=\\left(IPROD+\\frac{IINV}{10}\\right)\\ast(-1)":"(100−70010)=(−100+70010)∗(−1)=(IPROD+IINV10)∗(−1)","TotalExperienceGain = 0.0015\\ast(TotalEmployees - UnassignedEmployees + InternEmployees\\ast 9)":"TotalExperienceGain=0.0015∗(TotalEmployees−UnassignedEmployees+InternEmployees∗9)","Salary = 3\\ast TotalEmployees\\ast\\left(AvgIntelligence+AvgCharisma+AvgCreativity+AvgEfficiency+\\frac{TotalExperience}{TotalEmployees}\\right)":"Salary=3∗TotalEmployees∗(AvgIntelligence+AvgCharisma+AvgCreativity+AvgEfficiency+TotalExperienceTotalEmployees)","UpgradeCost = BasePrice\\ast\\left( \\frac{\\sqrt[3]{1.09} - 1}{0.09} \\right)\\ast{1.09}^{\\frac{CurrentSize}{3}}":"UpgradeCost=BasePrice∗(1.093−10.09)∗1.09CurrentSize3","UpgradeCost_{From\\ 3\\ to\\ n} = \\sum_{k = 3}^{n - 1}{BasePrice\\ast\\left( \\frac{\\sqrt[3]{1.09} - 1}{0.09} \\right)\\ast{1.09}^{\\frac{k}{3}}}":"UpgradeCostFrom 3 to n=∑k=3n−1BasePrice∗(1.093−10.09)∗1.09k3","UpgradeCost_{From\\ 3\\ to\\ n} = \\sum_{k = 3}^{n - 1}{BasePrice\\ast\\left( \\frac{\\sqrt[3]{1.09} - 1}{0.09} \\right)\\ast\\left( \\sqrt[3]{1.09} \\right)^{k}}":"UpgradeCostFrom 3 to n=∑k=3n−1BasePrice∗(1.093−10.09)∗(1.093)k","UpgradeCost_{From\\ 3\\ to\\ n} = BasePrice\\ast\\left( \\frac{\\sqrt[3]{1.09} - 1}{0.09} \\right)\\ast\\left( \\frac{\\left( \\sqrt[3]{1.09} \\right)^{n} - 1.09}{\\sqrt[3]{1.09} - 1} \\right)":"UpgradeCostFrom 3 to n=BasePrice∗(1.093−10.09)∗((1.093)n−1.091.093−1)","UpgradeCost_{From\\ 3\\ to\\ n} = BasePrice\\ast\\left( \\frac{{1.09}^{\\frac{n}{3}} - 1.09}{0.09} \\right)":"UpgradeCostFrom 3 to n=BasePrice∗(1.09n3−1.090.09)","UpgradeCost_{From\\ a\\ to\\ b} = BasePrice\\ast\\left( \\frac{{1.09}^{\\frac{b}{3}} - {1.09}^{\\frac{a}{3}}}{0.09} \\right)":"UpgradeCostFrom a to b=BasePrice∗(1.09b3−1.09a30.09)","MaxSize = 3\\ast\\log_{1.09}\\left( MaxCost\\ast\\frac{0.09}{BasePrice} + {1.09}^{\\frac{CurrentSize}{3}} \\right)":"MaxSize=3∗log1.09⁡(MaxCost∗0.09BasePrice+1.09CurrentSize3)","InternMultiplier = 0.002\\ast Min\\left(\\frac{1}{9},\\frac{InternEmployees}{TotalEmployees}-\\frac{1}{9}\\right)\\ast 9":"InternMultiplier=0.002∗Min(19,InternEmployeesTotalEmployees−19)∗9","PenaltyMultiplier = \\begin{cases}0, & (CorpFunds > 0) \\vee (DivisionLastCycleRevenue > DivisionLastCycleExpenses) \\newline 0.001, & (CorpFunds < 0) \\land (DivisionLastCycleRevenue < DivisionLastCycleExpenses)\\end{cases}":"PenaltyMultiplier={0,(CorpFunds>0)∨(DivisionLastCycleRevenue>DivisionLastCycleExpenses)0.001,(CorpFunds<0)∧(DivisionLastCycleRevenue<DivisionLastCycleExpenses)","PerfMult = \\begin{cases}1.002, & TotalEmployees < 9 \\newline 1 + InternMultiplier - PenaltyMultiplier, & TotalEmployees \\geq 9\\end{cases}":"PerfMult={1.002,TotalEmployees<91+InternMultiplier−PenaltyMultiplier,TotalEmployees≥9","PartyMult = 1 + \\frac{PartyCostPerEmployee}{10^{7}}":"PartyMult=1+PartyCostPerEmployee107","IncreaseOfMorale = (PartyMult - 1)\\ast 10":"IncreaseOfMorale=(PartyMult−1)∗10","IncreaseOfMorale = \\frac{PartyCostPerEmployee}{10^{6}}":"IncreaseOfMorale=PartyCostPerEmployee106","\\left( CurrentMorale\\ast PerfMult + \\frac{PartyCostPerEmployee}{10^{6}} \\right)\\ast\\left( 1 + \\frac{PartyCostPerEmployee}{10^{7}} \\right) = MaxMorale":"(CurrentMorale∗PerfMult+PartyCostPerEmployee106)∗(1+PartyCostPerEmployee107)=MaxMorale","a = CurrentMorale":"a=CurrentMorale","b = MaxMorale":"b=MaxMorale","k = PerfMult":"k=PerfMult","x = PartyCostPerEmployee":"x=PartyCostPerEmployee","\\left( a\\ast k + \\frac{x}{10^{6}} \\right)\\ast\\left( 1 + \\frac{x}{10^{7}} \\right) = b":"(a∗k+x106)∗(1+x107)=b","x_{1} = - 500000\\ast\\left( \\sqrt{(a\\ast k - 10)^{2} + 40\\ast b} + a\\ast k + 10 \\right)":"x1=−500000∗((a∗k−10)2+40∗b+a∗k+10)","x_{2} = 500000\\ast\\left( \\sqrt{(a\\ast k - 10)^{2} + 40\\ast b} - a\\ast k - 10 \\right)":"x2=500000∗((a∗k−10)2+40∗b−a∗k−10)","x_{1}":"x1","x_{2}":"x2","ProductionBase = AvgMorale\\ast AvgEnergy\\ast 10^{-4}":"ProductionBase=AvgMorale∗AvgEnergy∗10−4","Exp = \\frac{TotalExperience}{TotalEmployees}":"Exp=TotalExperienceTotalEmployees","ProductionMultiplier = 0.6\\ast IntelligenceMult + 0.1\\ast CharismaMult + Exp + 0.5\\ast CreativityMult + EfficiencyMult":"ProductionMultiplier=0.6∗IntelligenceMult+0.1∗CharismaMult+Exp+0.5∗CreativityMult+EfficiencyMult","ProductionMultiplier = IntelligenceMult + 0.1\\ast CharismaMult + 1.5\\ast Exp + EfficiencyMult":"ProductionMultiplier=IntelligenceMult+0.1∗CharismaMult+1.5∗Exp+EfficiencyMult","ProductionMultiplier = 0.4\\ast IntelligenceMult + CharismaMult + 0.5\\ast Exp":"ProductionMultiplier=0.4∗IntelligenceMult+CharismaMult+0.5∗Exp","ProductionMultiplier = 2\\ast CharismaMult + Exp + 0.2\\ast CreativityMult + 0.7\\ast EfficiencyMult":"ProductionMultiplier=2∗CharismaMult+Exp+0.2∗CreativityMult+0.7∗EfficiencyMult","ProductionMultiplier = 1.5\\ast IntelligenceMult + 0.8\\ast Exp + CreativityMult + 0.5\\ast EfficiencyMult":"ProductionMultiplier=1.5∗IntelligenceMult+0.8∗Exp+CreativityMult+0.5∗EfficiencyMult","EmployeesJobCount = office.employeeJobs[JobName]":"EmployeesJobCount=office.employeeJobs[JobName]","EmployeeProductionByJob = EmployeesJobCount\\ast ProductionMultiplier\\ast ProductionBase":"EmployeeProductionByJob=EmployeesJobCount∗ProductionMultiplier∗ProductionBase","n = {Number\\ of\\ input\\ materials}":"n=Number of input materials","ProductMarketPriceMult = 5":"ProductMarketPriceMult=5","ProductMarketPrice = ProductMarketPriceMult\\ast\\sum_{i = 1}^{n}{MaterialMarketPrice_i\\ast MaterialCoefficient_i}":"ProductMarketPrice=ProductMarketPriceMult∗∑i=1nMaterialMarketPricei∗MaterialCoefficienti","MaterialMarkupLimit = \\frac{MaterialQuality}{MaterialMarkup}":"MaterialMarkupLimit=MaterialQualityMaterialMarkup","ProductMarkupLimit = \\frac{Max(ProductEffectiveRating,0.001)}{ProductMarkup}":"ProductMarkupLimit=Max(ProductEffectiveRating,0.001)ProductMarkup","MaxSalesVolume = PotentialSalesVolume\\ast MarkupMultiplier":"MaxSalesVolume=PotentialSalesVolume∗MarkupMultiplier","PotentialSalesVolume = \\ ItemMultiplier\\ast BusinessFactor\\ast AdvertFactor\\ast MarketFactor\\ast SaleBotsBonus\\ast ResearchBonus":"PotentialSalesVolume= ItemMultiplier∗BusinessFactor∗AdvertFactor∗MarketFactor∗SaleBotsBonus∗ResearchBonus","ItemMultiplier = MaterialQuality + 0.001":"ItemMultiplier=MaterialQuality+0.001","ItemMultiplier = 0.5\\ast(ProductEffectiveRating)^{0.65}":"ItemMultiplier=0.5∗(ProductEffectiveRating)0.65","{BusinessFactor = (BusinessProduction)}^{0.26} + \\left({BusinessProduction}\\ast{0.0001}\\right)":"BusinessFactor=(BusinessProduction)0.26+(BusinessProduction∗0.0001)","AwarenessFactor = (Awareness + 1)^{IndustryAdvertisingFactor}":"AwarenessFactor=(Awareness+1)IndustryAdvertisingFactor","PopularityFactor = (Popularity + 1)^{IndustryAdvertisingFactor}":"PopularityFactor=(Popularity+1)IndustryAdvertisingFactor","RatioFactor = \\begin{cases}Max(0.01,\\frac{Popularity + 0.001}{Awareness}), & Awareness \\neq 0 \\newline 0.01, & Awareness = 0 \\end{cases}":"RatioFactor={Max(0.01,Popularity+0.001Awareness),Awareness≠00.01,Awareness=0","AdvertFactor = (AwarenessFactor\\ast PopularityFactor\\ast RatioFactor)^{0.85}":"AdvertFactor=(AwarenessFactor∗PopularityFactor∗RatioFactor)0.85","MarketFactor = Max\\left(0.1,{Demand\\ast(100 - Competition)}\\ast{0.01}\\right)":"MarketFactor=Max(0.1,Demand∗(100−Competition)∗0.01)","MarkupMultiplier = \\begin{cases}10^{12} & SellingPrice \\in (-\\infty, 0] \\newline \\frac{MarketPrice}{SellingPrice} & SellingPrice \\in (0, MarketPrice] \\newline 1 & SellingPrice \\in (MarketPrice, MarketPrice + MarkupLimit] \\newline \\left(\\frac{MarkupLimit}{SellingPrice - MarketPrice}\\right)^{2} & SellingPrice \\in (MarketPrice + MarkupLimit, \\infty) \\end{cases}":"MarkupMultiplier={1012SellingPrice∈(−∞,0]MarketPriceSellingPriceSellingPrice∈(0,MarketPrice]1SellingPrice∈(MarketPrice,MarketPrice+MarkupLimit](MarkupLimitSellingPrice−MarketPrice)2SellingPrice∈(MarketPrice+MarkupLimit,∞)","ExpectedSalesVolume = \\frac{StoredUnits}{10}":"ExpectedSalesVolume=StoredUnits10","MaxSalesVolume = ExpectedSalesVolume":"MaxSalesVolume=ExpectedSalesVolume","PotentialSalesVolume\\ast MarkupMultiplier = ExpectedSalesVolume":"PotentialSalesVolume∗MarkupMultiplier=ExpectedSalesVolume","PotentialSalesVolume\\ast\\left(\\frac{MarkupLimit}{SellingPrice - MarketPrice}\\right)^{2} = ExpectedSalesVolume":"PotentialSalesVolume∗(MarkupLimitSellingPrice−MarketPrice)2=ExpectedSalesVolume","\\frac{MarkupLimit}{SellingPrice - MarketPrice} = \\sqrt{\\frac{ExpectedSalesVolume}{PotentialSalesVolume}}":"MarkupLimitSellingPrice−MarketPrice=ExpectedSalesVolumePotentialSalesVolume","SellingPrice = \\frac{MarkupLimit\\ast\\sqrt{PotentialSalesVolume}}{\\sqrt{ExpectedSalesVolume}} + MarketPrice":"SellingPrice=MarkupLimit∗PotentialSalesVolumeExpectedSalesVolume+MarketPrice","MarkupLimit = (SellingPrice - MarketPrice)\\ast\\sqrt{\\frac{ActualSalesVolume}{M}}":"MarkupLimit=(SellingPrice−MarketPrice)∗ActualSalesVolumeM","TotalEmployeeProd = OperationsProd + EngineerProd + ManagementProd":"TotalEmployeeProd=OperationsProd+EngineerProd+ManagementProd","ManagementFactor = 1 + \\frac{ManagementProd}{1.2\\ast TotalEmployeeProd}":"ManagementFactor=1+ManagementProd1.2∗TotalEmployeeProd","ProductDevelopmentMultiplier = \\left( (EngineerProd)^{0.34} + (OperationsProd)^{0.2} \\right)\\ast ManagementFactor":"ProductDevelopmentMultiplier=((EngineerProd)0.34+(OperationsProd)0.2)∗ManagementFactor","Progress = 0.01\\ast ProductDevelopmentMultiplier":"Progress=0.01∗ProductDevelopmentMultiplier","DevelopmentProgress = DevelopmentProgress + Progress":"DevelopmentProgress=DevelopmentProgress+Progress","CreationJobFactors\\lbrack JobName\\rbrack = CreationJobFactors\\lbrack JobName\\rbrack + {\\lbrace EmployeeJob\\rbrace Prod\\ast Progress}\\ast{0.01}":"CreationJobFactors[JobName]=CreationJobFactors[JobName]+{EmployeeJob}Prod∗Progress∗0.01","A = \\ CreationJobFactors\\lbrack Engineer\\rbrack":"A= CreationJobFactors[Engineer]","B = \\ CreationJobFactors\\lbrack Management\\rbrack":"B= CreationJobFactors[Management]","C = \\ CreationJobFactors\\lbrack RnD\\rbrack":"C= CreationJobFactors[RnD]","D = \\ CreationJobFactors\\lbrack Operations\\rbrack":"D= CreationJobFactors[Operations]","E = \\ CreationJobFactors\\lbrack Business\\rbrack":"E= CreationJobFactors[Business]","TotalCreationJobFactors = A + B + C + D + E":"TotalCreationJobFactors=A+B+C+D+E","EngineerRatio = \\frac{A}{TotalCreationJobFactors}":"EngineerRatio=ATotalCreationJobFactors","ManagementRatio = \\frac{B}{TotalCreationJobFactors}":"ManagementRatio=BTotalCreationJobFactors","RnDRatio = \\frac{C}{TotalCreationJobFactors}":"RnDRatio=CTotalCreationJobFactors","OperationsRatio = \\frac{D}{TotalCreationJobFactors}":"OperationsRatio=DTotalCreationJobFactors","BusinessRatio = \\frac{E}{TotalCreationJobFactors}":"BusinessRatio=ETotalCreationJobFactors","DesignInvestMult = 1 + {(DesignInvestment)^{0.1}}\\ast{0.01}":"DesignInvestMult=1+(DesignInvestment)0.1∗0.01","ScienceMult = 1 + {(RP)^{ResearchFactor}}\\ast{0.00125}":"ScienceMult=1+(RP)ResearchFactor∗0.00125","BalanceMult = 1.2\\ast EngineerRatio + 0.9\\ast ManagementRatio + 1.3\\ast RnDRatio + 1.5\\ast OperationsRatio + BusinessRatio":"BalanceMult=1.2∗EngineerRatio+0.9∗ManagementRatio+1.3∗RnDRatio+1.5∗OperationsRatio+BusinessRatio","TotalMult = BalanceMult\\ast DesignInvestMult\\ast ScienceMult":"TotalMult=BalanceMult∗DesignInvestMult∗ScienceMult","TotalMult\\ast (0.1\\ast A + 0.05\\ast B + 0.05\\ast C + 0.02\\ast D + 0.02\\ast E)":"TotalMult∗(0.1∗A+0.05∗B+0.05∗C+0.02∗D+0.02∗E)","TotalMult\\ast (0.15\\ast A + 0.02\\ast B + 0.02\\ast C + 0.02\\ast D + 0.02\\ast E)":"TotalMult∗(0.15∗A+0.02∗B+0.02∗C+0.02∗D+0.02∗E)","TotalMult\\ast (0.05\\ast A + 0.02\\ast B + 0.08\\ast C + 0.05\\ast D + 0.05\\ast E)":"TotalMult∗(0.05∗A+0.02∗B+0.08∗C+0.05∗D+0.05∗E)","TotalMult\\ast (0.02\\ast A + 0.08\\ast B + 0.02\\ast C + 0.05\\ast D + 0.08\\ast E)":"TotalMult∗(0.02∗A+0.08∗B+0.02∗C+0.05∗D+0.08∗E)","TotalMult\\ast (0.08\\ast B + 0.05\\ast C + 0.02\\ast D + 0.1\\ast E)":"TotalMult∗(0.08∗B+0.05∗C+0.02∗D+0.1∗E)","TotalMult\\ast (0.08\\ast A + 0.05\\ast B + 0.02\\ast C + 0.05\\ast D + 0.05\\ast E)":"TotalMult∗(0.08∗A+0.05∗B+0.02∗C+0.05∗D+0.05∗E)","ProductRating = \\sum_{i = 1}^{6}{{ProductStat}_i\\ast{StatCoefficient}_i}":"ProductRating=∑i=16ProductStati∗StatCoefficienti","AdvertInvestMult = 1 + {(AdvertisingInvestment)^{0.1}}\\ast{0.01}":"AdvertInvestMult=1+(AdvertisingInvestment)0.1∗0.01","BusinessManagementRatio = Max\\left( BusinessRatio + ManagementRatio,\\ \\left( \\frac{1}{TotalCreationJobFactors} \\right) \\right)":"BusinessManagementRatio=Max(BusinessRatio+ManagementRatio, (1TotalCreationJobFactors))","ProductMarkup = \\frac{100}{AdvertInvestMult\\ast(ProductQuality + 0.001)^{0.65}\\ast BusinessManagementRatio}":"ProductMarkup=100AdvertInvestMult∗(ProductQuality+0.001)0.65∗BusinessManagementRatio","Demand = \\begin{cases}Min(100,AdvertInvestMult\\ast(100\\ast(Popularity/Awareness))), & Awareness \\neq 0 \\newline 20, & Awareness = 0 \\end{cases}":"Demand={Min(100,AdvertInvestMult∗(100∗(Popularity/Awareness))),Awareness≠020,Awareness=0","Competition = Random(0,70)":"Competition=Random(0,70)","ProductSize = \\sum_{i = 1}^{NumberOfInputMaterials}{{InputMaterialSize}_i\\ast{InputMaterialCoefficient}_i}":"ProductSize=∑i=1NumberOfInputMaterialsInputMaterialSizei∗InputMaterialCoefficienti","Quality = \\frac{Quality\\ast CurrentQuantity + BuyAmount}{CurrentQuantity + BuyAmount}":"Quality=Quality∗CurrentQuantity+BuyAmountCurrentQuantity+BuyAmount","Quality = \\frac{Quality\\ast CurrentQuantity + ImportQuality\\ast ImportAmount}{CurrentQuantity + ImportAmount}":"Quality=Quality∗CurrentQuantity+ImportQuality∗ImportAmountCurrentQuantity+ImportAmount","EngineerSummand = \\frac{EngineerProduction}{90}":"EngineerSummand=EngineerProduction90","ResearchPointSummand = (RP)^{IndustryScienceFactor}":"ResearchPointSummand=(RP)IndustryScienceFactor","AICoresSummand = AICoresQuantity^{IndustryAICoreFactor}\\ast{0.001}":"AICoresSummand=AICoresQuantityIndustryAICoreFactor∗0.001","OutputQuality = \\sqrt{MaxOutputQuality}\\ast AvgInputQuality":"OutputQuality=MaxOutputQuality∗AvgInputQuality","OutputRating = \\sqrt{MaxOutputRating}\\ast AvgInputQuality":"OutputRating=MaxOutputRating∗AvgInputQuality","UpgradeCost = BasePrice\\ast{PriceMult}^{CurrentLevel}":"UpgradeCost=BasePrice∗PriceMultCurrentLevel","UpgradeCost_{From\\ 0\\ to\\ n} = \\sum_{k = 0}^{n - 1}{BasePrice\\ast {PriceMult}^k}":"UpgradeCostFrom 0 to n=∑k=0n−1BasePrice∗PriceMultk","UpgradeCost_{From\\ 0\\ to\\ n} = BasePrice\\ast\\left( \\frac{1 - {PriceMult}^{n}}{1 - PriceMult} \\right)":"UpgradeCostFrom 0 to n=BasePrice∗(1−PriceMultn1−PriceMult)","UpgradeCost_{From\\ 0\\ to\\ n} = BasePrice\\ast\\left( \\frac{{PriceMult}^{n} - 1}{PriceMult - 1} \\right)":"UpgradeCostFrom 0 to n=BasePrice∗(PriceMultn−1PriceMult−1)","UpgradeCost_{From\\ a\\ to\\ b} = \\sum_{k = 0}^{b - 1}{BasePrice\\ast {PriceMult}^k} - \\sum_{k = 0}^{a - 1}{BasePrice\\ast {PriceMult}^k}":"UpgradeCostFrom a to b=∑k=0b−1BasePrice∗PriceMultk−∑k=0a−1BasePrice∗PriceMultk","UpgradeCost_{From\\ a\\ to\\ b} = BasePrice\\ast\\left( \\frac{{PriceMult}^{b} - 1}{PriceMult - 1} \\right) - BasePrice\\ast\\left( \\frac{{PriceMult}^{a} - 1}{PriceMult - 1} \\right)":"UpgradeCostFrom a to b=BasePrice∗(PriceMultb−1PriceMult−1)−BasePrice∗(PriceMulta−1PriceMult−1)","UpgradeCost_{From\\ a\\ to\\ b} = BasePrice\\ast\\left( \\frac{{PriceMult}^{b} - {PriceMult}^{a}}{PriceMult - 1} \\right)":"UpgradeCostFrom a to b=BasePrice∗(PriceMultb−PriceMultaPriceMult−1)","MaxUpgradeLevel = \\log_{PriceMult}\\left( MaxCost\\ast\\frac{PriceMult - 1}{BasePrice} + (PriceMult)^{CurrentLevel} \\right)":"MaxUpgradeLevel=logPriceMult⁡(MaxCost∗PriceMult−1BasePrice+(PriceMult)CurrentLevel)","Benefit = BaseBenefit + Benefit\\ast CurrentLevel":"Benefit=BaseBenefit+Benefit∗CurrentLevel","RPGain = 0.004\\ast(RnDProduction)^{0.5}\\ast UpgradeMultiplier\\ast ResearchMultiplier":"RPGain=0.004∗(RnDProduction)0.5∗UpgradeMultiplier∗ResearchMultiplier","UpgradeCost = BasePrice\\ast{1.07}^{CurrentLevel + 1}":"UpgradeCost=BasePrice∗1.07CurrentLevel+1","UpgradeCost_{From\\ 1\\ to\\ n} = \\sum_{k = 2}^{n}{BasePrice\\ast {1.07}^k}":"UpgradeCostFrom 1 to n=∑k=2nBasePrice∗1.07k","UpgradeCost_{From\\ 1\\ to\\ n} = BasePrice\\ast\\left( \\frac{{1.07}^{n + 1} - {1.07}^{2}}{0.07} \\right)":"UpgradeCostFrom 1 to n=BasePrice∗(1.07n+1−1.0720.07)","UpgradeCost_{From\\ a\\ to\\ b} = BasePrice\\ast\\left( \\frac{{1.07}^{b + 1} - {1.07}^{a + 1}}{0.07} \\right)":"UpgradeCostFrom a to b=BasePrice∗(1.07b+1−1.07a+10.07)","MaxLevel = (log_{1.07}\\left(MaxCost\\ast\\frac{0.07}{BasePrice} + {1.07}^{CurrentLevel+1} \\right)) - 1":"MaxLevel=(log1.07(MaxCost∗0.07BasePrice+1.07CurrentLevel+1))−1","WarehouseSize = WarehouseLevel\\ast 100\\ast UpgradeMultiplier\\ast ResearchMultiplier":"WarehouseSize=WarehouseLevel∗100∗UpgradeMultiplier∗ResearchMultiplier","AdvertMultiplier = WilsonUpgradeBenefit\\ast ResearchAdvertisingMultiplier":"AdvertMultiplier=WilsonUpgradeBenefit∗ResearchAdvertisingMultiplier","Awareness = (Awareness + 3\\ast AdvertMultiplier)\\ast(1.005*AdvertMultiplier)":"Awareness=(Awareness+3∗AdvertMultiplier)∗(1.005∗AdvertMultiplier)","Popularity = (Popularity + AdvertMultiplier)\\ast(1 + {Random(1,3)}\\ast{0.005})\\ast AdvertMultiplier":"Popularity=(Popularity+AdvertMultiplier)∗(1+Random(1,3)∗0.005)∗AdvertMultiplier","reputation = \\frac{\\text{donation amount} \\cdot \\text{reputation multiplier}}{10^{6}}":"reputation=donation amount⋅reputation multiplier106","\\large{cost = 10^9 \\cdot 7.5 ^{\\text{cores}}}":"cost=109⋅7.5cores","\\large{cost = ram \\cdot 3.2 \\cdot 10^4 \\cdot 1.58^{log_2{(ram)}}} \\cdot HomeRamCostMult":"cost=ram⋅3.2⋅104⋅1.58log2(ram)⋅HomeRamCostMult","\\huge{\\Delta r = \\Delta r \\times \\frac{100+favor}{100}}":"Δr=Δr×100+favor100","\\huge{favor=\\log_{1.02}\\left(1+\\frac{r}{25000}\\right)}":"favor=log1.02⁡(1+r25000)","\\text{multiplier} = \\left((\\text{awareness}+1)^{\\alpha} \\times (\\text{popularity}+1)^{\\alpha} \\times \\frac{\\text{popularity}+0.001}{\\text{awareness}}\\right)^{0.85}":"multiplier=((awareness+1)α×(popularity+1)α×popularity+0.001awareness)0.85"} \ No newline at end of file