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MathCraft: PDF to LaTeX file: Sample-01
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$ is log-convex in Jensen sense. Also $\lim _{r \rightarrow 0} \phi(r)=\phi(0)$, which implies $\phi$ is cont
MathCraft: PDF to LaTeX file: Sample-02
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ment} \maketitle \vspace{-0.7 in} If $f:[a, b] \rightarrow \mathbb{R}$ is convex, then $$ f\left(\frac{a+b}{