Small typos
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@ -1744,7 +1744,7 @@ For small angles
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we have
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we have
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\begin_inset Formula
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\begin_inset Formula
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\[
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\[
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e^{\skew{\omega}}\approx\skew{\omega}=\omega\skew 1
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e^{\skew{\omega}}\approx I+\skew{\omega}=I+\omega\skew 1
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\]
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\]
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\end_inset
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\end_inset
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@ -2122,7 +2122,7 @@ Analoguous to
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\begin_inset Formula $\SEthree$
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\begin_inset Formula $\SEthree$
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\end_inset
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\end_inset
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, we can compute a velocity
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(see below), we can compute a velocity
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\begin_inset Formula $\xihat\hat{p}$
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\begin_inset Formula $\xihat\hat{p}$
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\end_inset
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\end_inset
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@ -3143,8 +3143,7 @@ p\\
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\end_inset
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\end_inset
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We would now like to know what an incremental rotation parameterized by
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We would now like to know what an incremental pose parameterized by
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\begin_inset Formula $\xi$
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\begin_inset Formula $\xi$
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\end_inset
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\end_inset
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@ -3227,6 +3226,17 @@ v
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\end_inset
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\end_inset
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yielding the derivative
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\begin_inset Formula
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\[
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\deriv{\hat{q}(\xi)}{\xi}=T\deriv{}{\xi}\left(\xihat\hat{p}\right)=T\left[\begin{array}{cc}
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-\Skew p & I_{3}\\
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0 & 0
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\end{array}\right]
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\]
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\end_inset
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The inverse action
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The inverse action
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\begin_inset Formula $T^{-1}p$
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\begin_inset Formula $T^{-1}p$
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\end_inset
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\end_inset
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