data/305.json
{
"constraints": [],
"comment": "NTCIR 12 wiki topic 28",
"math_inputtex": "\\varphi(\\lambda_1 x_1+\\lambda_2 x_2+\\cdots+\\lambda_n x_n)\\leq \\lambda_1\\,\\varphi(x_1)+\\lambda_2\\,\\varphi(x_2)+\\cdots+\\lambda_n\\,\\varphi(x_n),",
"correct_tex": "\\varphi(\\lambda_1 x_1+\\lambda_2 x_2+\\cdots+\\lambda_n x_n)\\leq \\lambda_1 \\varphi(x_1)+\\lambda_2\\,\\varphi(x_2)+\\cdots+\\lambda_n \\varphi(x_n)",
"math_inputtex_semantic": "\\wf{Q11348}{\\varphi}(\\w{Q1413083}{\\lambda}_1 \\w{Q50701}{x}_1+\\lambda_2 x_2+\\cdots+\\lambda_n x_n)\\leq \\lambda_1\\,\\varphi(x_1)+\\lambda_2\\,\\varphi(x_2)+\\cdots+\\lambda_n\\,\\varphi(x_n)",
"title": "Jensen's inequality",
"type": "relation",
"uri": "https://en.wikipedia.org/w/index.php?title=Jensen%27s_inequality&oldid=809566303#Proof_1_(finite_form)",
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}