Difference between revisions of "User:Jon Awbrey/LaTeX"

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===Test 2===
 
===Test 2===
  
−
<math>=~ \prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} ~=</math>
+
{| cellpadding="10"
 +
|-
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| <math>\cdot~ \prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} ~\cdot</math>
 +
|-
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| <math>|~ \prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} ~|</math>
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|}
 +
 
 +
===Test 3===
 +
 
 +
{| cellpadding="10"
 +
|-
 +
|
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<math>\begin{array}{ccc}
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\cdot & \cdot & \cdot
 +
\\
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\cdot & \displaystyle\prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} & \cdot
 +
\\
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\cdot & \cdot & \cdot
 +
\end{array}</math>
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| Array (3 Column)
 +
|-
 +
|
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<math>\begin{matrix}
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\cdot & \cdot & \cdot
 +
\\
 +
\cdot & \displaystyle\prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} & \cdot
 +
\\
 +
\cdot & \cdot & \cdot
 +
\end{matrix}</math>
 +
| Matrix (3 Column)
 +
|}
 +
 
 +
===Test 4===
 +
 
 +
{| align="center" cellpadding="10" style="text-align:center"
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|-
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| [[Image:R&R_Dot_Array.png]]
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|-
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| [[Image:R&R_Dot_Array_Big.png]]
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|-
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| [[Image:R&R_Dot_Array_Big_Crop.png]]
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|}
 +
 
 +
==Workspace==
 +
 
 +
Assertions of these relations can be read in various ways, for example:
 +
 
 +
<br>
 +
 
 +
{| align="center" border="1" cellpadding="4" cellspacing="2" style="text-align:left; width:100%"
 +
|
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{| align="center" border="0" cellpadding="4" cellspacing="0" style="background:#f0f0ff; text-align:left; width:100%"
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|-
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| width="50%" | <math>j : x \lessdot y</math>
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| width="50%" | <math>j : y \gtrdot x</math>
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|-
 +
| <math>x \lessdot_j y</math>
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| <math>y \gtrdot_j x</math>
 +
|-
 +
| <math>x \lessdot y : j</math>
 +
| <math>y \gtrdot x : j</math>
 +
|}
 +
|-
 +
|
 +
{| align="center" border="0" cellpadding="4" cellspacing="0" style="text-align:left; width:100%"
 +
| width="50%" | <math>j ~\text{sets}~ x ~\text{in}~ y.</math>
 +
| width="50%" | <math>j ~\text{sets}~ y ~\text{on}~ x.</math>
 +
|-
 +
| <math>j ~\text{makes}~ x ~\text{an instance of}~ y.</math>
 +
| <math>j ~\text{makes}~ y ~\text{a property of}~  x.</math>
 +
|-
 +
| <math>j ~\text{thinks}~ x ~\text{an instance of}~ y.</math>
 +
| <math>j ~\text{thinks}~ y ~\text{a property of}~  x.</math>
 +
|-
 +
| <math>j ~\text{attests}~ x ~\text{an instance of}~ y.</math>
 +
| <math>j ~\text{attests}~ y ~\text{a property of}~  x.</math>
 +
|-
 +
| <math>j ~\text{appoints}~ x ~\text{an instance of}~ y.</math>
 +
| <math>j ~\text{appoints}~ y ~\text{a property of}~  x.</math>
 +
|-
 +
| <math>j ~\text{witnesses}~ x ~\text{an instance of}~ y.</math>
 +
| <math>j ~\text{witnesses}~ y ~\text{a property of}~  x.</math>
 +
|-
 +
| <math>j ~\text{interprets}~ x ~\text{an instance of}~ y.</math>
 +
| <math>j ~\text{interprets}~ y ~\text{a property of}~  x.</math>
 +
|-
 +
| <math>j ~\text{contributes}~ x ~\text{to}~ y.</math>
 +
| <math>j ~\text{attributes}~  y ~\text{to}~ x.</math>
 +
|-
 +
| <math>j ~\text{determines}~ x ~\text{an example of}~ y.</math>
 +
| <math>j ~\text{determines}~ y ~\text{a quality of}~  x.</math>
 +
|-
 +
| <math>j ~\text{evaluates}~ x ~\text{an example of}~ y.</math>
 +
| <math>j ~\text{evaluates}~ y ~\text{a quality of}~  x.</math>
 +
|-
 +
| <math>j ~\text{proposes}~ x ~\text{an example of}~ y.</math>
 +
| <math>j ~\text{proposes}~ y ~\text{a quality of}~  x.</math>
 +
|-
 +
| <math>j ~\text{musters}~  x ~\text{under}~ y.</math>
 +
| <math>j ~\text{marshals}~ y ~\text{over}~  x.</math>
 +
|-
 +
| <math>j ~\text{indites}~  x ~\text{among}~ y.</math>
 +
| <math>j ~\text{ascribes}~ y ~\text{about}~ x.</math>
 +
|-
 +
| <math>j ~\text{imputes}~ x ~\text{among}~ y.</math>
 +
| <math>j ~\text{imputes}~ y ~\text{about}~ x.</math>
 +
|-
 +
| <math>j ~\text{judges}~ x ~\text{beneath}~ y.</math>
 +
| <math>j ~\text{judges}~ y ~\text{beyond}~  x.</math>
 +
|-
 +
| <math>j ~\text{finds}~ x ~\text{preceding}~  y.</math>
 +
| <math>j ~\text{finds}~ y ~\text{succeeding}~ x.</math>
 +
|-
 +
| <math>j ~\text{poses}~ x ~\text{before}~ y.</math>
 +
| <math>j ~\text{poses}~ y ~\text{after}~  x.</math>
 +
|-
 +
| <math>j ~\text{forms}~ x ~\text{below}~ y.</math>
 +
| <math>j ~\text{forms}~ y ~\text{above}~ x.</math>
 +
|}
 +
|}
 +
 
 +
<br>

Latest revision as of 19:32, 15 April 2012

LaTeX

Test 1

\(\begin{smallmatrix} n & = & \displaystyle\prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} \end{smallmatrix}\)

Small Matrix (3 Column}
\(n = \prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)}\) Normal Spacing

\(\begin{array}{c} n = \displaystyle\prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} \end{array}\)

Array (1 Column)

\(\begin{matrix} n = \displaystyle\prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} \end{matrix}\)

Matrix (1 Column)
\(n ~=~ \prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)}\) Extra Spacing

\(\begin{array}{ccc} n & = & \displaystyle\prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} \end{array}\)

Array (3 Column)

\(\begin{matrix} n & = & \displaystyle\prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} \end{matrix}\)

Matrix (3 Column)

Test 2

\(\cdot~ \prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} ~\cdot\)
\(|~ \prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} ~|\)

Test 3

\(\begin{array}{ccc} \cdot & \cdot & \cdot \\ \cdot & \displaystyle\prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} & \cdot \\ \cdot & \cdot & \cdot \end{array}\)

Array (3 Column)

\(\begin{matrix} \cdot & \cdot & \cdot \\ \cdot & \displaystyle\prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)} & \cdot \\ \cdot & \cdot & \cdot \end{matrix}\)

Matrix (3 Column)

Test 4

R&R Dot Array.png
R&R Dot Array Big.png
R&R Dot Array Big Crop.png

Workspace

Assertions of these relations can be read in various ways, for example:


\(j : x \lessdot y\) \(j : y \gtrdot x\)
\(x \lessdot_j y\) \(y \gtrdot_j x\)
\(x \lessdot y : j\) \(y \gtrdot x : j\)
\(j ~\text{sets}~ x ~\text{in}~ y.\) \(j ~\text{sets}~ y ~\text{on}~ x.\)
\(j ~\text{makes}~ x ~\text{an instance of}~ y.\) \(j ~\text{makes}~ y ~\text{a property of}~ x.\)
\(j ~\text{thinks}~ x ~\text{an instance of}~ y.\) \(j ~\text{thinks}~ y ~\text{a property of}~ x.\)
\(j ~\text{attests}~ x ~\text{an instance of}~ y.\) \(j ~\text{attests}~ y ~\text{a property of}~ x.\)
\(j ~\text{appoints}~ x ~\text{an instance of}~ y.\) \(j ~\text{appoints}~ y ~\text{a property of}~ x.\)
\(j ~\text{witnesses}~ x ~\text{an instance of}~ y.\) \(j ~\text{witnesses}~ y ~\text{a property of}~ x.\)
\(j ~\text{interprets}~ x ~\text{an instance of}~ y.\) \(j ~\text{interprets}~ y ~\text{a property of}~ x.\)
\(j ~\text{contributes}~ x ~\text{to}~ y.\) \(j ~\text{attributes}~ y ~\text{to}~ x.\)
\(j ~\text{determines}~ x ~\text{an example of}~ y.\) \(j ~\text{determines}~ y ~\text{a quality of}~ x.\)
\(j ~\text{evaluates}~ x ~\text{an example of}~ y.\) \(j ~\text{evaluates}~ y ~\text{a quality of}~ x.\)
\(j ~\text{proposes}~ x ~\text{an example of}~ y.\) \(j ~\text{proposes}~ y ~\text{a quality of}~ x.\)
\(j ~\text{musters}~ x ~\text{under}~ y.\) \(j ~\text{marshals}~ y ~\text{over}~ x.\)
\(j ~\text{indites}~ x ~\text{among}~ y.\) \(j ~\text{ascribes}~ y ~\text{about}~ x.\)
\(j ~\text{imputes}~ x ~\text{among}~ y.\) \(j ~\text{imputes}~ y ~\text{about}~ x.\)
\(j ~\text{judges}~ x ~\text{beneath}~ y.\) \(j ~\text{judges}~ y ~\text{beyond}~ x.\)
\(j ~\text{finds}~ x ~\text{preceding}~ y.\) \(j ~\text{finds}~ y ~\text{succeeding}~ x.\)
\(j ~\text{poses}~ x ~\text{before}~ y.\) \(j ~\text{poses}~ y ~\text{after}~ x.\)
\(j ~\text{forms}~ x ~\text{below}~ y.\) \(j ~\text{forms}~ y ~\text{above}~ x.\)


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