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parse/train/VRgITLy0l2/VRgITLy0l2.md CHANGED
@@ -66,7 +66,7 @@ $$
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  \frac { d E } { d t } \leq - k _ { \operatorname* { m i n } } \gamma E ^ { \beta }
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  $$
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- where $\begin{array} { r } { k _ { \operatorname* { m i n } } = \operatorname* { m i n } ( k _ { i } ) , i = 1 , 2 , \cdots , n , \beta = \frac { \alpha } { \alpha + 1 } } \end{array}$ = αα+1 and |e¯|α = |e¯|α+1 αα+1 = Eβ has been utilized. Noting that $E$ is a positive definite function and scalars $k _ { \mathrm { m i n } }$ and $\gamma$ are always positive, the proof is complete by applying (Bhat & Bernstein, 2000, Theorem 4.2). □
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  # 2.2 MULTI NEURON CASE
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  \frac { d E } { d t } \leq - k _ { \operatorname* { m i n } } \gamma E ^ { \beta }
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  $$
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+ where $\begin{array} { r } { k _ { \operatorname* { m i n } } = \operatorname* { m i n } ( k _ { i } ) , i = 1 , 2 , \cdots , n , \beta = \frac { \alpha } { \alpha + 1 } } \end{array}$ = αα+1 and |e¯|α = |e¯|α+1 αα+1 = Eβ has been utilized. Noting that $E$ is a positive definite function and scalars $k _ { \mathrm { m i n } }$ and $\gamma$ are always positive, the proof is complete by applying (Bhat & Bernstein, 2000, Theorem 4.2). □
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  # 2.2 MULTI NEURON CASE
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