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During World War I there was much lamentation over the "defects of the draft," and the word "shocking" was in frequent use with reference to the condition of a large proportion of men of military age. When, more recently, it became necessary again for society to interpose a shield of human lives between itself and disaster, its cerebral cells once more became agitated over the report that its y...

We consider the inequality $f \geqslant f\star f$ for real integrable functions on $d$ dimensional Euclidean space where $f\star denotes convolution of $f$ with itself. show that all such are non-negative, which is not case same in $L^p$ any $1 < p \leqslant 2$, defined. also solutions satisfy $\int f(x){\rm d}x \tfrac12$. Moreover, if = \tfrac12$, then must decay fairly slowly: |x| \infty$, an...

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