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Add Content MathML annotations
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bentley authored and acabal committed Feb 2, 2023
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124 changes: 91 additions & 33 deletions src/epub/text/chapter-36.xhtml
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<blockquote>
<p>In a preliminary publication, I have reported a marked qualitative destructive effect of the radiations from radium emanations on Bacteriophage-anti-Shiga. In the present paper it is shown that X-rays, gamma rays, and beta rays produce identical inactivating effects on this bacteriophage. Furthermore, a quantitative relation is demonstrated to exist between this inactivation and the radiations that produce it. The results obtained from this quantitative study permit the statement that the percentage of inactivation, as measured by determining the units of bacteriophage remaining after irradiation by gamma and beta rays of a suspension of fixed virulence, is a function of the two variables, millicuries and hours. The following equation accounts quantitatively for the experimental results obtained:</p>
<m:math alttext="K = (λ × log⁡(e) × u_0 / u) / E_0 × (ε − λ × t_1)">
<m:mi>K</m:mi>
<m:mo>=</m:mo>
<m:mfrac>
<m:semantics>
<m:mrow>
<m:mi>λ</m:mi>
<m:mo>⁢</m:mo>
<m:mi>log</m:mi>
<m:mo>⁡</m:mo>
<m:mi>e</m:mi>
<m:mo>⁢</m:mo>
<m:mi>K</m:mi>
<m:mo>=</m:mo>
<m:mfrac>
<m:msub>
<m:mi>u</m:mi>
<m:mn>0</m:mn>
</m:msub>
<m:mi>u</m:mi>
<m:mrow>
<m:mi>λ</m:mi>
<m:mo>⁢</m:mo>
<m:mi>log</m:mi>
<m:mo>⁡</m:mo>
<m:mi>e</m:mi>
<m:mo>⁢</m:mo>
<m:mfrac>
<m:msub>
<m:mi>u</m:mi>
<m:mn>0</m:mn>
</m:msub>
<m:mi>u</m:mi>
</m:mfrac>
</m:mrow>
<m:mrow>
<m:msub>
<m:mi>E</m:mi>
<m:mn>0</m:mn>
</m:msub>
<m:mo>⁢</m:mo>
<m:mrow>
<m:mo>(</m:mo>
<m:mi>ε</m:mi>
<m:mo>−</m:mo>
<m:mi>λ</m:mi>
<m:mo>⁢</m:mo>
<m:msub>
<m:mi>t</m:mi>
<m:mn>1</m:mn>
</m:msub>
<m:mo>)</m:mo>
</m:mrow>
</m:mrow>
</m:mfrac>
</m:mrow>
<m:mrow>
<m:msub>
<m:mi>E</m:mi>
<m:mn>0</m:mn>
</m:msub>
<m:mo>⁢</m:mo>
<m:mrow>
<m:mo>(</m:mo>
<m:mi>ε</m:mi>
<m:mo>−</m:mo>
<m:mi>λ</m:mi>
<m:msub>
<m:mi>t</m:mi>
<m:mn>1</m:mn>
</m:msub>
<m:mo>)</m:mo>
</m:mrow>
</m:mrow>
</m:mfrac>
<m:annotation-xml encoding="Content-MathML">
<m:apply>
<m:eq/>
<m:ci>K</m:ci>
<m:apply>
<m:divide/>
<m:apply>
<m:times/>
<m:ci>λ</m:ci>
<m:apply>
<m:times/>
<m:apply>
<m:log/>
<m:ci>e</m:ci>
</m:apply>
<m:apply>
<m:divide/>
<m:ci>
<m:msub>
<m:mi>u</m:mi>
<m:mn>0</m:mn>
</m:msub>
</m:ci>
<m:ci>u</m:ci>
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</m:apply>
</m:apply>
<m:apply>
<m:times/>
<m:ci>
<m:msub>
<m:mi>E</m:mi>
<m:mn>0</m:mn>
</m:msub>
</m:ci>
<m:apply>
<m:minus/>
<m:ci>ε</m:ci>
<m:apply>
<m:times/>
<m:ci>λ</m:ci>
<m:ci>
<m:msub>
<m:mi>t</m:mi>
<m:mn>1</m:mn>
</m:msub>
</m:ci>
</m:apply>
</m:apply>
</m:apply>
</m:apply>
</m:apply>
</m:annotation-xml>
</m:semantics>
</m:math>
</blockquote>
<p>When Director Holabird saw the paper⁠—Yeo was vicious enough to take it in and ask his opinion⁠—he said, “Splendid, oh, I say, simply splendid! I’ve just had the chance to skim through it, old boy, but I shall certainly read it carefully, the first free moment I have.”</p>
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