From 87aaff414d96a1bc376c24de756ba8156166d5d8 Mon Sep 17 00:00:00 2001 From: Pomax Date: Sat, 22 Aug 2020 10:23:36 -0700 Subject: [PATCH] formula fix --- docs/chapters/canonical/content.en-GB.md | 21 +++++++++--- .../0430e8c7f7d4ec80e6527f96f3d56e5c.svg | 2 +- .../058fa85ac31eb666857a860fdedd79df.svg | 1 - .../10025fdab2b3fd20f5d389cbe7e3e3ce.svg | 2 +- .../13c09950363c33627fd3a20343f2f6ce.svg | 1 + .../146f752ed1de4798e3eb363fcbc2d236.svg | 1 - .../16fad73cbbbd2202b08ebef05b1579c5.svg | 1 - .../20684d22b3ddc52fd6abde8ce56608a9.svg | 2 +- .../2f85d84f0e3dd14cc25e48583aed3822.svg | 1 - .../376bc2829faf2dd0e50fc6a856a46b80.svg | 1 - .../38ee8e8de36e4bb0a75e8ee6471a62a4.svg | 1 - .../4230e959138d8400e04abf316360009a.svg | 2 +- .../5a92f3dcc67f9fbeea5227538b05fee6.svg | 1 - .../5af3d1772ee07e634d04259a02f7201f.svg | 1 - .../61922c978038e750ff191ac2e06b0b01.svg | 1 - .../63ccae0ebe0ca70dc2afb507ab32e4bd.svg | 2 +- .../83262761bb7fa9b832fe483ded436973.svg | 1 - .../8cbef24b8c3b26f9daf2f89d27d36e95.svg | 2 +- .../9ccf43ffde69d452e72cb52ea0efd8ef.png | Bin 27744 -> 27891 bytes .../add5f7fb210a306fe9ff933113f6fb91.svg | 2 +- .../c3e9b97768440f85858a10e52def2d5d.png | Bin 24051 -> 24230 bytes .../c6feca58cbd174181cdee10d44074b09.svg | 1 - .../d023bc25fddbfe125e1f26eb7ab41ab5.svg | 1 - .../d089cc0687982a3302249bb82af3fc16.svg | 1 - .../d3279e2d252a66e671a75c1ca5c7893f.svg | 1 - .../ddee51855ef3a9ee7660c395b0a041c7.svg | 1 + .../f3261ad2802d980ebe6e35b272375700.svg | 1 - docs/index.html | 32 +++++++++--------- docs/ja-JP/index.html | 32 +++++++++--------- docs/zh-CN/index.html | 32 +++++++++--------- 30 files changed, 74 insertions(+), 74 deletions(-) delete mode 100644 docs/images/chapters/canonical/058fa85ac31eb666857a860fdedd79df.svg create mode 100644 docs/images/chapters/canonical/13c09950363c33627fd3a20343f2f6ce.svg delete mode 100644 docs/images/chapters/canonical/146f752ed1de4798e3eb363fcbc2d236.svg delete mode 100644 docs/images/chapters/canonical/16fad73cbbbd2202b08ebef05b1579c5.svg delete mode 100644 docs/images/chapters/canonical/2f85d84f0e3dd14cc25e48583aed3822.svg delete mode 100644 docs/images/chapters/canonical/376bc2829faf2dd0e50fc6a856a46b80.svg delete mode 100644 docs/images/chapters/canonical/38ee8e8de36e4bb0a75e8ee6471a62a4.svg delete mode 100644 docs/images/chapters/canonical/5a92f3dcc67f9fbeea5227538b05fee6.svg delete mode 100644 docs/images/chapters/canonical/5af3d1772ee07e634d04259a02f7201f.svg delete mode 100644 docs/images/chapters/canonical/61922c978038e750ff191ac2e06b0b01.svg delete mode 100644 docs/images/chapters/canonical/83262761bb7fa9b832fe483ded436973.svg delete mode 100644 docs/images/chapters/canonical/c6feca58cbd174181cdee10d44074b09.svg delete mode 100644 docs/images/chapters/canonical/d023bc25fddbfe125e1f26eb7ab41ab5.svg delete mode 100644 docs/images/chapters/canonical/d089cc0687982a3302249bb82af3fc16.svg delete mode 100644 docs/images/chapters/canonical/d3279e2d252a66e671a75c1ca5c7893f.svg create mode 100644 docs/images/chapters/canonical/ddee51855ef3a9ee7660c395b0a041c7.svg delete mode 100644 docs/images/chapters/canonical/f3261ad2802d980ebe6e35b272375700.svg diff --git a/docs/chapters/canonical/content.en-GB.md b/docs/chapters/canonical/content.en-GB.md index 7a2cdfc4..97a74d61 100644 --- a/docs/chapters/canonical/content.en-GB.md +++ b/docs/chapters/canonical/content.en-GB.md @@ -248,6 +248,18 @@ First, let's just do that translation step as a "preprocessing" operation so we \cdot \left ( x_4 - \frac{x_2 \cdot y_4}{y_2} / x_3-\frac{x_2 \cdot y_3}{y_2} \right ) \end{matrix} +\right ) = \left ( + \begin{matrix} + x_{43} +\\ +\\ + \frac{y_4}{y_2} + + + x_{43} + \left ( 1 - \frac{y_3}{y_2} \right ) + \end{matrix} +\right ),\textit{ where } x_{43} = \left ( + x_4 - \frac{x_2 \cdot y_4}{y_2} \middle / x_3-\frac{x_2 \cdot y_3}{y_2} \right ) \] @@ -256,16 +268,17 @@ Suddenly things look a lot simpler: the mapped x is fairly straight forward to c \[ ... = \left ( \begin{matrix} - \left ( x_4 - x_2 \cdot y_{42} \right ) / \left ( x_3- x_2 \cdot y_{32} \right ) + x_{43} \\ \\ y_{42} + + x_{43} \left ( 1 - y_{32} \right ) - \cdot - x \end{matrix} -\right ),\textit{ where } y_{32} = \frac{y_3}{y_2},\textit{ and } \ y_{42} = \frac{y_4}{y_2} +\right ), \textit{ where } x_{43} = \left ( + \frac{x_4 - x_2 \cdot y_{42}}{x_3 - x_2 \cdot y_{32}} +\right ), \textit{ } y_{42} = \frac{y_4}{y_2}, \textit{ and } y_{32} = \frac{y_3}{y_2} \] That's kind of super-simple to write out in code, I think you'll agree. 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@@ -3897,8 +3897,8 @@ function getCubicRoots(pa, pb, pc, pd) {

@@ -3918,7 +3918,7 @@ function getCubicRoots(pa, pb, pc, pd) { class="LaTeX SVG" src="./images/chapters/canonical/0430e8c7f7d4ec80e6527f96f3d56e5c.svg" width="140px" - height="63px" + height="65px" loading="lazy" />

@@ -3950,8 +3950,8 @@ function getCubicRoots(pa, pb, pc, pd) {

@@ -3964,9 +3964,9 @@ function getCubicRoots(pa, pb, pc, pd) {

diff --git a/docs/zh-CN/index.html b/docs/zh-CN/index.html index 577eb338..b0037a7f 100644 --- a/docs/zh-CN/index.html +++ b/docs/zh-CN/index.html @@ -3718,8 +3718,8 @@ function getCubicRoots(pa, pb, pc, pd) { @@ -3732,8 +3732,8 @@ function getCubicRoots(pa, pb, pc, pd) { @@ -3745,7 +3745,7 @@ function getCubicRoots(pa, pb, pc, pd) { @@ -3874,7 +3874,7 @@ function getCubicRoots(pa, pb, pc, pd) { @@ -3886,8 +3886,8 @@ function getCubicRoots(pa, pb, pc, pd) {

@@ -3907,8 +3907,8 @@ function getCubicRoots(pa, pb, pc, pd) {

@@ -3928,7 +3928,7 @@ function getCubicRoots(pa, pb, pc, pd) { class="LaTeX SVG" src="./images/chapters/canonical/0430e8c7f7d4ec80e6527f96f3d56e5c.svg" width="140px" - height="63px" + height="65px" loading="lazy" />

@@ -3960,8 +3960,8 @@ function getCubicRoots(pa, pb, pc, pd) {

@@ -3974,9 +3974,9 @@ function getCubicRoots(pa, pb, pc, pd) {