From dc57ae72c5ed404b1f69f7ce4bd5254be5706346 Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Thu, 25 Jul 2019 22:21:56 +1000 Subject: [PATCH] [spec] minor corrections --- spec/spec-collated.pdf | Bin 356126 -> 376948 bytes spec/spec-collated.tex | 4 ++-- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/spec/spec-collated.pdf b/spec/spec-collated.pdf index 4c80f9f38c1601df31a0e0929c0d41674c770047..15ea285a1651a87c98613586dc77ed5aff9b47a1 100644 GIT binary patch delta 68133 zcmV)WK(4=@-WBwK7qC1J0y#C4!N@6pJ=t;`Ho*f9pnxh=^+hSH-F*=I$^sIJyfXoj>bfG;^RuU~&;Ib8 zscd5vQ`PIYl~j$gyfT!-YxVl7dNcd)bHiuL`S!f#oX;rpudhCw*UZe8i`D#pW_5Re zUQ?zOpFP=JZI{1zkQcYx)q1%-|MB(rfA~(QWEQSyBZ&bN+zb?+CWOqM{q={xz4-RO z{L}yW_aB~q`|=e&efI6^v!Bi=fRl9QnF-!*;>nnapAFgcDw#?v-}mX(Q*c><#cv?^Ko;#h85rW zMWvJ@Rn1hxH1|*cWwW?>xLSHRD$>Qvh5|L(wf~b4H5?33BRYV*y=`efzq!FTVs>|X z^KgGoXRF)I-PiuB70lP1*FwPC_56CZnQuQ1X{TwUxURGijhUt$12nCF5|MZVPBEmR zu!WkjMj7ofef6;RnBKl^5&h|5zFoG|qBMD2Yal+3$CdOC|K_1|r5dZbaoYk^pp|GS 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z)H@NI#L>d*vp~wiZ7FWAYw`8c*GT(R8?3y~u$X1gj%&Zr zro?PPQ3XDb{{;0<(EkL}R^S7hDgn>MF2Kdk!Jft62}}IH7y6yBHf>X#uqIF%5)zz} z0s6_GHh z@*)znsHr1=$HK9^V*wm&=+mECd~e?_+mANV47i$lr!kPNrU<%r0bFr9y8f z_v>q)_c_K^Tj>3~;}rG1T#rc`{@pJ7l=c0w_LTJZ7@{`a@64x4)^KyO2g!MPn4LJZ hNSF7P4`{{=g@G)^K3EcD9v*IPZX_BSX;m4d{{?U8_`3iA diff --git a/spec/spec-collated.tex b/spec/spec-collated.tex index 89d37b5..e795713 100644 --- a/spec/spec-collated.tex +++ b/spec/spec-collated.tex @@ -1172,9 +1172,9 @@ \[ v_{\text{avg}} = \frac{\Delta\text{position}}{\Delta t} \] \begin{align*} \text{speed} &= |{\text{velocity}}| \\ - &= \sqrt{v_x(t)^2 + v_y(t)^2 + v_z(t)^2} \tag{for vector \(v\)} + &= \sqrt{v_x^2 + v_y^2 + v_z^2} \end{align*} - \textbf{Distance travelled between\(t=a \rightarrow t=b\):} + \textbf{Distance travelled between \(t=a \rightarrow t=b\):} \[= \int^b_a \sqrt{\left(\frac{dx}{dt}\right)^2 + \left(\frac{dy}{dt}\right)^2} \cdot dt \] \subsection*{Vector functions} -- 2.47.1