Solutions of the Exponential Equation &Lt;i>yx/Y = &Lt;i>x Or Lnx/&Lt;i>x = Lny/&Lt;i>y And Fine Structure Constant

Journal of Applied Mathematics and Physics

doi 10.4236/jamp.2017.52034

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Date

January 1, 2017

Authors

Sabaratnasingam Gnanarajan

Publisher

Scientific Research Publishing, Inc.

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Solutions of the Exponential Equation &Lt;i>y</I><sup><i>x/Y</I></Sup> = &Lt;i>x</I> Or Ln<i>x</I>/&Lt;i>x</I> = Ln<i>y</I>/&Lt;i>y</I> And Fine Structure Constant

Journal of Applied Mathematics and Physics

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Bringing Back the Body Into Positive Psychology: The Theory of &Lt;i>Corporeal</I> &Lt;i>Posttraumatic</I> &Lt;i>Growth</I> &Lt;i>in</I> &Lt;i>Breast</I> &Lt;i>Cancer</I> &Lt;i>Survivorship</I>

Regular Elements and Right Units of Semigroup &Lt;i>B<sub>x</Sub></I>(<i>D</I>) Defined Semilattice &Lt;i>D</I> For Which &Lt;i>V</I>(<i>D</I>,а)=Q ∈ &Amp;sum;<sub>3</Sub>(<i>X</I>,8)

Regular Elements of &Lt;i>B<sub>x</Sup></I>(D) Defined by the Class ∑<sub>1</Sub>(X,10)-&Lt;i>I</I>

Characterization of Six Categories of Systematic 2<sup><i>n</I>－(<i>n</I>－<i>k</I>)</Sup> Fractional Factorial Designs

From &Lt;i>E</I> = &Lt;i>mc</I><sup>2</Sup> To &Lt;i>E</I> = &Lt;i>mc</I><sup>2</Sup>/22—a Short Account of the Most Famous Equation in Physics and Its Hidden Quantum Entanglement Origin

&Lt;i>In Vitro</I> Antagonistic Activity of &Lt;i>Trichoderma Harzianum</I> And &Lt;i>Bacillus Amyloliquefaciens</I> Against &Lt;i>Colletotrichum Acutatum</I>

Structural and Morphological Study of a Series of Ball Milled Nanocrystalline Fe<sub>1-&Lt;i>x</I></Sub>Al<sub><i>x</I></Sub> (0.3 ≤ &Lt;i>x</I> ≤ 0.6) Alloys

Identification of &Lt;i>ebs1</I>, &Lt;i>lsm6</I> And &Lt;i>nup159</I> As Suppressors of &Lt;i>spt</I>10 Effects at &Lt;i>ADH</I>2 in &Lt;i>Saccharomyces Cerevisiae</I> Suggests Post-Transcriptional Defects Affect mRNA Synthesis

Ion Exchange of Layer-Structured Titanate Cs<sub>x</Sub>Ti<sub>2</Sub>-&Lt;i><sub>x</Sub></I>/&Lt;sub>2</Sub>Mg<i><sub>x</Sub></I>/&Lt;sub>2</Sub>O<sub>4</Sub> (&Lt;i>x</I> = 0.70) and Applications as Cathode Materials for Both Lithium- And Sodium-Ion Batteries

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Solutions of the Exponential Equation &Lt;i&gt;y&lt;/I&gt;&lt;sup&gt;&lt;i&gt;x/Y&lt;/I&gt;&lt;/Sup&gt; = &Lt;i&gt;x&lt;/I&gt; Or Ln&lt;i&gt;x&lt;/I&gt;/&Lt;i&gt;x&lt;/I&gt; = Ln&lt;i&gt;y&lt;/I&gt;/&Lt;i&gt;y&lt;/I&gt; And Fine Structure Constant

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Bringing Back the Body Into Positive Psychology: The Theory of &Lt;i&gt;Corporeal&lt;/I&gt; &Lt;i&gt;Posttraumatic&lt;/I&gt; &Lt;i&gt;Growth&lt;/I&gt; &Lt;i&gt;in&lt;/I&gt; &Lt;i&gt;Breast&lt;/I&gt; &Lt;i&gt;Cancer&lt;/I&gt; &Lt;i&gt;Survivorship&lt;/I&gt;

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From &Lt;i>E</I> = &Lt;i>mc</I><sup>2</Sup> To &Lt;i>E</I> = &Lt;i>mc</I><sup>2</Sup>/22—a Short Account of the Most Famous Equation in Physics and Its Hidden Quantum Entanglement Origin

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Structural and Morphological Study of a Series of Ball Milled Nanocrystalline Fe<sub>1-&Lt;i>x</I></Sub>Al<sub><i>x</I></Sub> (0.3 ≤ &Lt;i>x</I> ≤ 0.6) Alloys

Identification of &Lt;i>ebs1</I>, &Lt;i>lsm6</I> And &Lt;i>nup159</I> As Suppressors of &Lt;i>spt</I>10 Effects at &Lt;i>ADH</I>2 in &Lt;i>Saccharomyces Cerevisiae</I> Suggests Post-Transcriptional Defects Affect mRNA Synthesis