Fix for broken equation
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@ -107,21 +107,24 @@ $$
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>
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>
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> Then, put all variables equal to the previous one derivated:
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> Then, put all variables equal to the previous one derivated:
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>
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>
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> $x(t) = \begin{bmatrix}
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$$
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> x_1(t)\\
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x(t) = \begin{bmatrix}
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> x_2(t) = \dot{x_1}(t)\\
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x_1(t)\\
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> \dots\\
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x_2(t) = \dot{x_1}(t)\\
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> x_n(t) = \dot{x}_{n-1}(t)
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\dots\\
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> \end{bmatrix}
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x_n(t) = \dot{x}_{n-1}(t)
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> \;
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\end{bmatrix}
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> \dot{x}(t) = \begin{bmatrix}
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\;
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> \dot{x_1}(t) = x_2(t)\\
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\dot{x}(t) = \begin{bmatrix}
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> \dot{x_2}(t) = x_3(t)\\
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\dot{x_1}(t) = x_2(t)\\
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> \dots\\
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\dot{x_2}(t) = x_3(t)\\
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> \dot{x}_{n-1}(t) = \dot{x}_{n}(t)\\
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\dots\\
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> \dot{x}_{n}(t) = \text{our formula}
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\dot{x}_{n-1}(t) = \dot{x}_{n}(t)\\
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> \end{bmatrix}$
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\dot{x}_{n}(t) = \text{our formula}
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>
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\end{bmatrix}
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$$
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Now in our state we may express `position` and `speed`, while in our
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Now in our state we may express `position` and `speed`, while in our
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`next_state` we'll have `speed` and `acceleration`:
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`next_state` we'll have `speed` and `acceleration`:
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