{ "definitions" : { "G_{k,\\sigma}" : [ "substitution", { } ], "y" : [ { "Q12916" : "real number (quantity along a continuous line)" } ], "k" : [ { "Q21199" : "natural number (numbers used for counting and ordering)" } ], "\\sigma" : [ { "Q12916" : "real number (quantity along a continuous line)" } ] }, "constraints" : [ ], "math_inputtex" : "G_{k, \\sigma} (y)= 1-(1+ky/\\sigma)^{-1/k} ", "math_inputtex_semantic" : "\\wf{Q2472662}{G}_{\\w{Q21199}{k}, \\w{Q12916}{\\sigma}} (\\w{Q12916}{y})= 1-(1+ky/\\sigma)^{-1/k}", "correct_tex" : "G_{k, \\sigma} (y)= 1-(1+ky/\\sigma)^{-1/k} ", "correct_mml" : "\n \n \n \n \n G\n \n k\n ,\n σ\n \n \n ⁡\n \n (\n y\n )\n \n \n =\n \n 1\n -\n \n \n (\n \n 1\n +\n \n \n k\n ⁢\n y\n \n /\n σ\n \n \n )\n \n \n -\n \n 1\n /\n k\n \n \n \n \n \n \n \n \n \n \n subscript\n Q2472662\n \n Q21199\n Q12916\n \n \n Q12916\n \n \n \n 1\n \n \n \n \n 1\n \n \n \n \n Q21199\n Q12916\n \n Q12916\n \n \n \n \n \n \n 1\n Q21199\n \n \n \n \n \n \n G_{k,\\sigma}(y)=1-(1+ky/\\sigma)^{-1/k}\n \n", "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=26815#math26815.17", "title" : "Pickands–Balkema–de_Haan_theorem", "type" : "equation" }