<section xml:id="block-samples" xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Grouping Samples</title>
<introduction>
<p>
While building or testing a rendering of PreTeXt, especially in HTML, it can be useful to see all the various elements that potentially create visual blocks in one place.
So they are collected here.
</p>
<p>
We will omit content specific blocks like figures, images, tables, <etc/> as those elements have significant stress testing of their own elsewhere.
</p>
<p>
Please add any similar elements that are created or that you discover are missing from this page.
</p>
<aside>
<title>A title</title>
<p>
There are more <tag>aside</tag>es below, but here is a solor one.
</p>
</aside>
</introduction>
<objectives>
<title>Our goals</title>
<introduction>
<p>
A minimal <tag>objective</tag>.
</p>
</introduction>
<ul>
<li>
Stress test HTML themes
</li>
<li>
Locally, test objectives
</li>
</ul>
</objectives>
<subsection xml:id="block-samples-remark-like">
<title>Remark-like Blocks</title>
<remark>
<title>A title</title>
<p>
A minimal <tag>remark</tag>.
</p>
</remark>
<convention>
<title>A title</title>
<p>
A minimal <tag>convention</tag>.
</p>
</convention>
<note>
<title>A title</title>
<p>
A minimal <tag>note</tag>.
</p>
</note>
<observation>
<title>A title</title>
<p>
A minimal <tag>observation</tag>.
</p>
</observation>
<warning>
<title>A title</title>
<p>
A minimal <tag>warning</tag>.
</p>
</warning>
<insight>
<title>A title</title>
<p>
A minimal <tag>insight</tag>.
</p>
</insight>
</subsection>
<subsection xml:id="block-samples-example-like">
<title>Example-like Blocks</title>
<example>
<title>A title</title>
<p>
A minimal <tag>example</tag>.
</p>
</example>
<example>
<title>A title</title>
<introduction>
<p>
A structured <tag>example</tag>.
</p>
</introduction>
<task>
<statement>
<p>
A structured <tag>example</tag>.
</p>
</statement>
<hint>
<p>
A <tag>hint</tag>
</p>
</hint>
<answer>
<p>
An <tag>answer</tag>
</p>
</answer>
<solution>
<p>
A <tag>solution</tag>
</p>
</solution>
</task>
<conclusion>
<p>
The <tag>conclusion</tag>.
</p>
</conclusion>
</example>
<question>
<title>A title</title>
<p>
A minimal <tag>question</tag>.
</p>
</question>
<problem>
<title>A title</title>
<p>
A minimal <tag>problem</tag>.
</p>
</problem>
<observation>
<title>A title</title>
<p>
A minimal <tag>observation</tag>.
</p>
</observation>
<warning>
<title>A title</title>
<p>
A minimal <tag>warning</tag>.
</p>
</warning>
<insight>
<title>A title</title>
<p>
A minimal <tag>insight</tag>.
</p>
</insight>
</subsection>
<subsection xml:id="block-samples-theorem-like">
<title>Theorem-like Blocks</title>
<theorem>
<title>A title</title>
<p>
A minimal <tag>theorem</tag>.
</p>
</theorem>
<theorem>
<title>A title</title>
<statement>
<p>
A theorem with a proof.
</p>
</statement>
<proof>
<p>
The proof of the theorem.
</p>
</proof>
</theorem>
<theorem>
<title>A title</title>
<statement>
<p>
A theorem with an <tag>argument</tag>, a proof-like alternate.
</p>
</statement>
<argument>
<p>
The argument for the theorem.
</p>
</argument>
</theorem>
<theorem>
<title>A title</title>
<statement>
<p>
A theorem with a <tag>reasoning</tag>, a proof-like alternate.
</p>
</statement>
<reasoning>
<p>
The reasoning for the theorem.
</p>
</reasoning>
</theorem>
<theorem>
<title>A title</title>
<statement>
<p>
A theorem with an <tag>explanation</tag>, a proof-like alternate.
</p>
</statement>
<explanation>
<p>
The explanation of the theorem.
</p>
</explanation>
</theorem>
<corollary>
<title>A title</title>
<p>
A minimal <tag>corollary</tag>.
</p>
</corollary>
<lemma>
<title>A title</title>
<p>
A minimal <tag>lemma</tag>.
</p>
</lemma>
<algorithm>
<title>A title</title>
<p>
A minimal <tag>algorithm</tag>.
</p>
</algorithm>
<proposition>
<title>A title</title>
<p>
A minimal <tag>proposition</tag>.
</p>
</proposition>
<claim>
<title>A title</title>
<p>
A minimal <tag>claim</tag>.
</p>
</claim>
<fact>
<title>A title</title>
<p>
A minimal <tag>fact</tag>.
</p>
</fact>
<identity>
<title>A title</title>
<p>
A minimal <tag>identity</tag>.
</p>
</identity>
<proof>
<title>A title</title>
<p>
A stand-alone proof.
</p>
</proof>
</subsection>
<subsection xml:id="block-samples-axiom-like">
<title>Axiom-like Blocks</title>
<axiom>
<title>A title</title>
<statement>
<p>
A minimal <tag>axiom</tag>.
</p>
</statement>
</axiom>
<conjecture>
<title>A title</title>
<statement>
<p>
A minimal <tag>conjecture</tag>.
</p>
</statement>
</conjecture>
<principle>
<title>A title</title>
<statement>
<p>
A minimal <tag>principle</tag>.
</p>
</statement>
</principle>
<heuristic>
<title>A title</title>
<statement>
<p>
A minimal <tag>heuristic</tag>.
</p>
</statement>
</heuristic> <hypothesis>
<title>A title</title>
<statement>
<p>
A minimal <tag>hypothesis</tag>.
</p>
</statement>
</hypothesis> <assumption>
<title>A title</title>
<statement>
<p>
A minimal <tag>assumption</tag>.
</p>
</statement>
</assumption>
</subsection>
<subsection xml:id="block-samples-definition-like">
<title>Definition-like Blocks</title>
<definition>
<title>A title</title>
<statement>
<p>
A minimal <tag>definition</tag>.
</p>
</statement>
</definition>
</subsection>
<subsection xml:id="block-samples-aside-like">
<title>Aside-like Blocks</title>
<p>
Three <tag>aside</tag>s are below.
</p>
<aside>
<title>A title</title>
<p>
A minimal <tag>aside</tag>.
</p>
</aside> <biographical>
<title>A title</title>
<p>
A minimal <tag>biographical</tag>.
</p>
</biographical> <biographical>
<title>A title</title>
<p>
A minimal <tag>biographical</tag>.
</p>
</biographical> <historical>
<title>A title</title>
<p>
A minimal <tag>historical</tag>.
</p>
</historical>
</subsection>
<subsection xml:id="block-samples-computation-like">
<title>Computation-like Blocks</title>
<computation>
<title>A title</title>
<p>
A minimal <tag>computation</tag>.
</p>
</computation>
<technology>
<title>A title</title>
<p>
A minimal <tag>technology</tag>.
</p>
</technology>
<data>
<title>A title</title>
<p>
A minimal <tag>data</tag>.
</p>
</data>
</subsection>
<subsection xml:id="block-samples-project-like">
<title>Project-like Blocks</title>
<project>
<title>A title</title>
<p>
A minimal <tag>project</tag>.
</p>
</project>
<activity>
<title>A title</title>
<p>
A minimal <tag>activity</tag>.
</p>
</activity>
<exploration>
<title>A title</title>
<p>
A minimal <tag>exploration</tag>.
</p>
</exploration>
<investigation>
<title>A title</title>
<p>
A minimal <tag>investigation</tag>.
</p>
</investigation>
</subsection>
<subsection xml:id="block-samples-closing-with-blocks" label="block-samples-closing-with-blocks">
<title>Blocks Closing with a List or a Display</title>
<p>
Some blocks end with a mark, such as the filled square that closes a proof.
In print the mark rides the last line of the block's final paragraph, pushed to the right margin.
A paragraph may also hold a list, a code display, or displayed mathematics, and then the mark cannot ride the paragraph's last line without disturbing the layout of the paragraph and of the list, so it takes a line of its own.
Each block here ends with such a paragraph.
</p>
<example>
<title>Closing with a Bulleted List</title>
<p>
This <tag>example</tag> ends with a paragraph whose final child is an unordered list, and the first item has two words so that a justified last line would be visible.
<ul>
<li>
<p>
first item
</p>
</li>
<li>
<p>
second
</p>
</li>
<li>
<p>
third
</p>
</li>
</ul>
</p>
</example>
<example>
<title>A List, Then More Text</title>
<p>
Here the paragraph continues after the list, so its last line is running text, but the list is still inside the paragraph.
<ol>
<li>
<p>
one item
</p>
</li>
<li>
<p>
another item
</p>
</li>
</ol>
The paragraph resumes here and ends with words, not a list.
</p>
</example>
<example>
<title>Closing with a Code Display</title>
<p>
A paragraph can also end with a <tag>cd</tag>, a short display of code, as in
<cd>
<cline>print("the last thing")</cline>
</cd>
</p>
</example>
<example>
<title>Closing with Displayed Mathematics</title>
<p>
And a paragraph can end with displayed mathematics, the case that has always placed the mark on its own line, given here for comparison:
<md>
<mrow>a^2 + b^2 \amp = c^2</mrow>
</md>
</p>
</example>
<definition>
<title>A Statement Closing with a Description List</title>
<statement>
<p>
A <term>closing list</term> is a list that is the final child of a block's final paragraph, of any of three kinds; here the paragraph closes a <tag>statement</tag>.<dl>
<li>
<title>ordered</title>
<p>
numbered or lettered
</p>
</li>
<li>
<title>unordered</title>
<p>
bulleted
</p>
</li>
<li>
<title>description</title>
<p>
this one, with a term for each item
</p>
</li>
</dl>
</p>
</statement>
</definition>
<theorem>
<title>A Proof Closing with a List</title>
<statement>
<p>
Every proof that ends with a list is followed by its mark on a line of its own.
</p>
</statement>
<proof>
<p>
The proof has two cases.
<ol>
<li>
<p>
The proof ends with running text, and the mark rides its last line.
</p>
</li>
<li>
<p>
The proof ends with a list, as this one does, and the mark takes the next line.
</p>
</li>
</ol>
</p>
</proof>
</theorem>
</subsection>
<subsection>
<title>Miscellaneous Blocks</title>
<assemblage>
<p>
A minimal <tag>assemblage</tag>.
</p>
</assemblage>
<aside>
<title>A title</title>
<p>
A final <tag>aside</tag> to test behavior towards the end of a page.
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
</p>
</aside>
</subsection>
<outcomes>
<title>Our results</title>
<introduction>
<p>
A minimal <tag>outcome</tag>.
</p>
</introduction>
<ul>
<li>
Stress test HTML themes
</li>
<li>
Locally, test outcomes
</li>
</ul>
</outcomes>
<conclusion>
<p>
A minimal <tag>conclusion</tag>.
</p>
</conclusion>
</section>
Section 8 Grouping Samples
View Source for section
While building or testing a rendering of PreTeXt, especially in HTML, it can be useful to see all the various elements that potentially create visual blocks in one place. So they are collected here.
We will omit content specific blocks like figures, images, tables, etc. as those elements have significant stress testing of their own elsewhere.
Please add any similar elements that are created or that you discover are missing from this page.
Aside: A title.
Objectives: Our goals
View Source for objectives
<objectives xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Our goals</title>
<introduction>
<p>
A minimal <tag>objective</tag>.
</p>
</introduction>
<ul>
<li>
Stress test HTML themes
</li>
<li>
Locally, test objectives
</li>
</ul>
</objectives>
A minimal
<objective>.
-
Stress test HTML themes
-
Locally, test objectives
Subsection 8.1 Remark-like Blocks
View Source for subsection
<subsection xml:id="block-samples-remark-like" xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Remark-like Blocks</title>
<remark>
<title>A title</title>
<p>
A minimal <tag>remark</tag>.
</p>
</remark>
<convention>
<title>A title</title>
<p>
A minimal <tag>convention</tag>.
</p>
</convention>
<note>
<title>A title</title>
<p>
A minimal <tag>note</tag>.
</p>
</note>
<observation>
<title>A title</title>
<p>
A minimal <tag>observation</tag>.
</p>
</observation>
<warning>
<title>A title</title>
<p>
A minimal <tag>warning</tag>.
</p>
</warning>
<insight>
<title>A title</title>
<p>
A minimal <tag>insight</tag>.
</p>
</insight>
</subsection>
Remark 8.1. A title.
View Source for remark
<remark xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>remark</tag>.
</p>
</remark>
A minimal
<remark>.
Convention 8.2. A title.
View Source for convention
<convention xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>convention</tag>.
</p>
</convention>
A minimal
<convention>.
Note 8.3. A title.
View Source for note
<note xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>note</tag>.
</p>
</note>
A minimal
<note>.
Observation 8.4. A title.
View Source for observation
<observation xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>observation</tag>.
</p>
</observation>
A minimal
<observation>.
Warning 8.5. A title.
View Source for warning
<warning xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>warning</tag>.
</p>
</warning>
A minimal
<warning>.
Insight 8.6. A title.
View Source for insight
<insight xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>insight</tag>.
</p>
</insight>
A minimal
<insight>.
Subsection 8.2 Example-like Blocks
View Source for subsection
<subsection xml:id="block-samples-example-like" xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Example-like Blocks</title>
<example>
<title>A title</title>
<p>
A minimal <tag>example</tag>.
</p>
</example>
<example>
<title>A title</title>
<introduction>
<p>
A structured <tag>example</tag>.
</p>
</introduction>
<task>
<statement>
<p>
A structured <tag>example</tag>.
</p>
</statement>
<hint>
<p>
A <tag>hint</tag>
</p>
</hint>
<answer>
<p>
An <tag>answer</tag>
</p>
</answer>
<solution>
<p>
A <tag>solution</tag>
</p>
</solution>
</task>
<conclusion>
<p>
The <tag>conclusion</tag>.
</p>
</conclusion>
</example>
<question>
<title>A title</title>
<p>
A minimal <tag>question</tag>.
</p>
</question>
<problem>
<title>A title</title>
<p>
A minimal <tag>problem</tag>.
</p>
</problem>
<observation>
<title>A title</title>
<p>
A minimal <tag>observation</tag>.
</p>
</observation>
<warning>
<title>A title</title>
<p>
A minimal <tag>warning</tag>.
</p>
</warning>
<insight>
<title>A title</title>
<p>
A minimal <tag>insight</tag>.
</p>
</insight>
</subsection>
Example 8.7. A title.
View Source for example
<example xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>example</tag>.
</p>
</example>
A minimal
<example>.
Example 8.8. A title.
View Source for example
<example xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<introduction>
<p>
A structured <tag>example</tag>.
</p>
</introduction>
<task>
<statement>
<p>
A structured <tag>example</tag>.
</p>
</statement>
<hint>
<p>
A <tag>hint</tag>
</p>
</hint>
<answer>
<p>
An <tag>answer</tag>
</p>
</answer>
<solution>
<p>
A <tag>solution</tag>
</p>
</solution>
</task>
<conclusion>
<p>
The <tag>conclusion</tag>.
</p>
</conclusion>
</example>
A structured
<example>.
(a)
View Source for task
<task xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<statement>
<p>
A structured <tag>example</tag>.
</p>
</statement>
<hint>
<p>
A <tag>hint</tag>
</p>
</hint>
<answer>
<p>
An <tag>answer</tag>
</p>
</answer>
<solution>
<p>
A <tag>solution</tag>
</p>
</solution>
</task>
A structured
<example>.
Hint.
View Source for hint
<hint xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<p>
A <tag>hint</tag>
</p>
</hint>
A
<hint>
Answer.
View Source for answer
<answer xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<p>
An <tag>answer</tag>
</p>
</answer>
An
<answer>
Solution.
View Source for solution
<solution xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<p>
A <tag>solution</tag>
</p>
</solution>
A
<solution>
The
<conclusion>.
Question 8.9. A title.
View Source for question
<question xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>question</tag>.
</p>
</question>
A minimal
<question>.
Problem 8.10. A title.
View Source for problem
<problem xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>problem</tag>.
</p>
</problem>
A minimal
<problem>.
Observation 8.11. A title.
View Source for observation
<observation xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>observation</tag>.
</p>
</observation>
A minimal
<observation>.
Warning 8.12. A title.
View Source for warning
<warning xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>warning</tag>.
</p>
</warning>
A minimal
<warning>.
Insight 8.13. A title.
View Source for insight
<insight xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>insight</tag>.
</p>
</insight>
A minimal
<insight>.
Subsection 8.3 Theorem-like Blocks
View Source for subsection
<subsection xml:id="block-samples-theorem-like" xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Theorem-like Blocks</title>
<theorem>
<title>A title</title>
<p>
A minimal <tag>theorem</tag>.
</p>
</theorem>
<theorem>
<title>A title</title>
<statement>
<p>
A theorem with a proof.
</p>
</statement>
<proof>
<p>
The proof of the theorem.
</p>
</proof>
</theorem>
<theorem>
<title>A title</title>
<statement>
<p>
A theorem with an <tag>argument</tag>, a proof-like alternate.
</p>
</statement>
<argument>
<p>
The argument for the theorem.
</p>
</argument>
</theorem>
<theorem>
<title>A title</title>
<statement>
<p>
A theorem with a <tag>reasoning</tag>, a proof-like alternate.
</p>
</statement>
<reasoning>
<p>
The reasoning for the theorem.
</p>
</reasoning>
</theorem>
<theorem>
<title>A title</title>
<statement>
<p>
A theorem with an <tag>explanation</tag>, a proof-like alternate.
</p>
</statement>
<explanation>
<p>
The explanation of the theorem.
</p>
</explanation>
</theorem>
<corollary>
<title>A title</title>
<p>
A minimal <tag>corollary</tag>.
</p>
</corollary>
<lemma>
<title>A title</title>
<p>
A minimal <tag>lemma</tag>.
</p>
</lemma>
<algorithm>
<title>A title</title>
<p>
A minimal <tag>algorithm</tag>.
</p>
</algorithm>
<proposition>
<title>A title</title>
<p>
A minimal <tag>proposition</tag>.
</p>
</proposition>
<claim>
<title>A title</title>
<p>
A minimal <tag>claim</tag>.
</p>
</claim>
<fact>
<title>A title</title>
<p>
A minimal <tag>fact</tag>.
</p>
</fact>
<identity>
<title>A title</title>
<p>
A minimal <tag>identity</tag>.
</p>
</identity>
<proof>
<title>A title</title>
<p>
A stand-alone proof.
</p>
</proof>
</subsection>
Theorem 8.14. A title.
View Source for theorem
<theorem xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>theorem</tag>.
</p>
</theorem>
A minimal
<theorem>.
Theorem 8.15. A title.
View Source for theorem
<theorem xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A theorem with a proof.
</p>
</statement>
<proof>
<p>
The proof of the theorem.
</p>
</proof>
</theorem>
A theorem with a proof.
Proof.
View Source for proof
<proof xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<p>
The proof of the theorem.
</p>
</proof>
The proof of the theorem.
Theorem 8.16. A title.
View Source for theorem
<theorem xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A theorem with an <tag>argument</tag>, a proof-like alternate.
</p>
</statement>
<argument>
<p>
The argument for the theorem.
</p>
</argument>
</theorem>
A theorem with an
<argument>, a proof-like alternate.
Argument.
View Source for argument
<argument xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<p>
The argument for the theorem.
</p>
</argument>
The argument for the theorem.
Theorem 8.17. A title.
View Source for theorem
<theorem xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A theorem with a <tag>reasoning</tag>, a proof-like alternate.
</p>
</statement>
<reasoning>
<p>
The reasoning for the theorem.
</p>
</reasoning>
</theorem>
A theorem with a
<reasoning>, a proof-like alternate.
Reasoning.
View Source for reasoning
<reasoning xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<p>
The reasoning for the theorem.
</p>
</reasoning>
The reasoning for the theorem.
Theorem 8.18. A title.
View Source for theorem
<theorem xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A theorem with an <tag>explanation</tag>, a proof-like alternate.
</p>
</statement>
<explanation>
<p>
The explanation of the theorem.
</p>
</explanation>
</theorem>
A theorem with an
<explanation>, a proof-like alternate.
Explanation.
View Source for explanation
<explanation xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<p>
The explanation of the theorem.
</p>
</explanation>
The explanation of the theorem.
Corollary 8.19. A title.
View Source for corollary
<corollary xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>corollary</tag>.
</p>
</corollary>
A minimal
<corollary>.
Lemma 8.20. A title.
View Source for lemma
<lemma xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>lemma</tag>.
</p>
</lemma>
A minimal
<lemma>.
Algorithm 8.21. A title.
View Source for algorithm
<algorithm xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>algorithm</tag>.
</p>
</algorithm>
A minimal
<algorithm>.
Conundrum 8.22. A title.
View Source for proposition
<proposition xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>proposition</tag>.
</p>
</proposition>
A minimal
<proposition>.
Claim 8.23. A title.
View Source for claim
<claim xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>claim</tag>.
</p>
</claim>
A minimal
<claim>.
Fact 8.24. A title.
View Source for fact
<fact xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>fact</tag>.
</p>
</fact>
A minimal
<fact>.
Identity 8.25. A title.
View Source for identity
<identity xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>identity</tag>.
</p>
</identity>
A minimal
<identity>.
A title.
View Source for proof
<proof xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A stand-alone proof.
</p>
</proof>
A stand-alone proof.
Subsection 8.4 Axiom-like Blocks
View Source for subsection
<subsection xml:id="block-samples-axiom-like" xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Axiom-like Blocks</title>
<axiom>
<title>A title</title>
<statement>
<p>
A minimal <tag>axiom</tag>.
</p>
</statement>
</axiom>
<conjecture>
<title>A title</title>
<statement>
<p>
A minimal <tag>conjecture</tag>.
</p>
</statement>
</conjecture>
<principle>
<title>A title</title>
<statement>
<p>
A minimal <tag>principle</tag>.
</p>
</statement>
</principle>
<heuristic>
<title>A title</title>
<statement>
<p>
A minimal <tag>heuristic</tag>.
</p>
</statement>
</heuristic> <hypothesis>
<title>A title</title>
<statement>
<p>
A minimal <tag>hypothesis</tag>.
</p>
</statement>
</hypothesis> <assumption>
<title>A title</title>
<statement>
<p>
A minimal <tag>assumption</tag>.
</p>
</statement>
</assumption>
</subsection>
Axiom 8.26. A title.
View Source for axiom
<axiom xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A minimal <tag>axiom</tag>.
</p>
</statement>
</axiom>
A minimal
<axiom>.
Conjecture 8.27. A title.
View Source for conjecture
<conjecture xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A minimal <tag>conjecture</tag>.
</p>
</statement>
</conjecture>
A minimal
<conjecture>.
Principle 8.28. A title.
View Source for principle
<principle xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A minimal <tag>principle</tag>.
</p>
</statement>
</principle>
A minimal
<principle>.
Heuristic 8.29. A title.
View Source for heuristic
<heuristic xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A minimal <tag>heuristic</tag>.
</p>
</statement>
</heuristic>
A minimal
<heuristic>.
Hypothesis 8.30. A title.
View Source for hypothesis
<hypothesis xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A minimal <tag>hypothesis</tag>.
</p>
</statement>
</hypothesis>
A minimal
<hypothesis>.
Assumption 8.31. A title.
View Source for assumption
<assumption xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A minimal <tag>assumption</tag>.
</p>
</statement>
</assumption>
A minimal
<assumption>.
Subsection 8.5 Definition-like Blocks
View Source for subsection
<subsection xml:id="block-samples-definition-like" xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Definition-like Blocks</title>
<definition>
<title>A title</title>
<statement>
<p>
A minimal <tag>definition</tag>.
</p>
</statement>
</definition>
</subsection>
Definition 8.32. A title.
View Source for definition
<definition xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<statement>
<p>
A minimal <tag>definition</tag>.
</p>
</statement>
</definition>
A minimal
<definition>.
Subsection 8.6 Aside-like Blocks
View Source for subsection
<subsection xml:id="block-samples-aside-like" xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Aside-like Blocks</title>
<p>
Three <tag>aside</tag>s are below.
</p>
<aside>
<title>A title</title>
<p>
A minimal <tag>aside</tag>.
</p>
</aside> <biographical>
<title>A title</title>
<p>
A minimal <tag>biographical</tag>.
</p>
</biographical> <biographical>
<title>A title</title>
<p>
A minimal <tag>biographical</tag>.
</p>
</biographical> <historical>
<title>A title</title>
<p>
A minimal <tag>historical</tag>.
</p>
</historical>
</subsection>
Three
<aside>s are below.
Aside: A title.
Biographical Aside: A title.
Biographical Aside: A title.
Historical Aside: A title.
Subsection 8.7 Computation-like Blocks
View Source for subsection
<subsection xml:id="block-samples-computation-like" xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Computation-like Blocks</title>
<computation>
<title>A title</title>
<p>
A minimal <tag>computation</tag>.
</p>
</computation>
<technology>
<title>A title</title>
<p>
A minimal <tag>technology</tag>.
</p>
</technology>
<data>
<title>A title</title>
<p>
A minimal <tag>data</tag>.
</p>
</data>
</subsection>
Computation 8.33. A title.
View Source for computation
<computation xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>computation</tag>.
</p>
</computation>
A minimal
<computation>.
Technology 8.34. A title.
View Source for technology
<technology xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>technology</tag>.
</p>
</technology>
A minimal
<technology>.
Data 8.35. A title.
View Source for data
<data xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>data</tag>.
</p>
</data>
A minimal
<data>.
Subsection 8.8 Project-like Blocks
View Source for subsection
<subsection xml:id="block-samples-project-like" xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Project-like Blocks</title>
<project>
<title>A title</title>
<p>
A minimal <tag>project</tag>.
</p>
</project>
<activity>
<title>A title</title>
<p>
A minimal <tag>activity</tag>.
</p>
</activity>
<exploration>
<title>A title</title>
<p>
A minimal <tag>exploration</tag>.
</p>
</exploration>
<investigation>
<title>A title</title>
<p>
A minimal <tag>investigation</tag>.
</p>
</investigation>
</subsection>
Project 8.1. A title.
View Source for project
<project xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>project</tag>.
</p>
</project>
A minimal
<project>.
Activity 8.2. A title.
View Source for activity
<activity xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>activity</tag>.
</p>
</activity>
A minimal
<activity>.
Exploration 8.3. A title.
View Source for exploration
<exploration xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>exploration</tag>.
</p>
</exploration>
A minimal
<exploration>.
Investigation 8.4. A title.
View Source for investigation
<investigation xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A title</title>
<p>
A minimal <tag>investigation</tag>.
</p>
</investigation>
A minimal
<investigation>.
Subsection 8.9 Blocks Closing with a List or a Display
View Source for subsection
<subsection xml:id="block-samples-closing-with-blocks" label="block-samples-closing-with-blocks" xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Blocks Closing with a List or a Display</title>
<p>
Some blocks end with a mark, such as the filled square that closes a proof.
In print the mark rides the last line of the block's final paragraph, pushed to the right margin.
A paragraph may also hold a list, a code display, or displayed mathematics, and then the mark cannot ride the paragraph's last line without disturbing the layout of the paragraph and of the list, so it takes a line of its own.
Each block here ends with such a paragraph.
</p>
<example>
<title>Closing with a Bulleted List</title>
<p>
This <tag>example</tag> ends with a paragraph whose final child is an unordered list, and the first item has two words so that a justified last line would be visible.
<ul>
<li>
<p>
first item
</p>
</li>
<li>
<p>
second
</p>
</li>
<li>
<p>
third
</p>
</li>
</ul>
</p>
</example>
<example>
<title>A List, Then More Text</title>
<p>
Here the paragraph continues after the list, so its last line is running text, but the list is still inside the paragraph.
<ol>
<li>
<p>
one item
</p>
</li>
<li>
<p>
another item
</p>
</li>
</ol>
The paragraph resumes here and ends with words, not a list.
</p>
</example>
<example>
<title>Closing with a Code Display</title>
<p>
A paragraph can also end with a <tag>cd</tag>, a short display of code, as in
<cd>
<cline>print("the last thing")</cline>
</cd>
</p>
</example>
<example>
<title>Closing with Displayed Mathematics</title>
<p>
And a paragraph can end with displayed mathematics, the case that has always placed the mark on its own line, given here for comparison:
<md>
<mrow>a^2 + b^2 \amp = c^2</mrow>
</md>
</p>
</example>
<definition>
<title>A Statement Closing with a Description List</title>
<statement>
<p>
A <term>closing list</term> is a list that is the final child of a block's final paragraph, of any of three kinds; here the paragraph closes a <tag>statement</tag>.<dl>
<li>
<title>ordered</title>
<p>
numbered or lettered
</p>
</li>
<li>
<title>unordered</title>
<p>
bulleted
</p>
</li>
<li>
<title>description</title>
<p>
this one, with a term for each item
</p>
</li>
</dl>
</p>
</statement>
</definition>
<theorem>
<title>A Proof Closing with a List</title>
<statement>
<p>
Every proof that ends with a list is followed by its mark on a line of its own.
</p>
</statement>
<proof>
<p>
The proof has two cases.
<ol>
<li>
<p>
The proof ends with running text, and the mark rides its last line.
</p>
</li>
<li>
<p>
The proof ends with a list, as this one does, and the mark takes the next line.
</p>
</li>
</ol>
</p>
</proof>
</theorem>
</subsection>
Some blocks end with a mark, such as the filled square that closes a proof. In print the mark rides the last line of the blockβs final paragraph, pushed to the right margin. A paragraph may also hold a list, a code display, or displayed mathematics, and then the mark cannot ride the paragraphβs last line without disturbing the layout of the paragraph and of the list, so it takes a line of its own. Each block here ends with such a paragraph.
Example 8.36. Closing with a Bulleted List.
View Source for example
<example xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Closing with a Bulleted List</title>
<p>
This <tag>example</tag> ends with a paragraph whose final child is an unordered list, and the first item has two words so that a justified last line would be visible.
<ul>
<li>
<p>
first item
</p>
</li>
<li>
<p>
second
</p>
</li>
<li>
<p>
third
</p>
</li>
</ul>
</p>
</example>
This
<example> ends with a paragraph whose final child is an unordered list, and the first item has two words so that a justified last line would be visible.-
first item
-
second
-
third
Example 8.37. A List, Then More Text.
View Source for example
<example xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A List, Then More Text</title>
<p>
Here the paragraph continues after the list, so its last line is running text, but the list is still inside the paragraph.
<ol>
<li>
<p>
one item
</p>
</li>
<li>
<p>
another item
</p>
</li>
</ol>
The paragraph resumes here and ends with words, not a list.
</p>
</example>
Here the paragraph continues after the list, so its last line is running text, but the list is still inside the paragraph.
-
one item
-
another item
The paragraph resumes here and ends with words, not a list.
Example 8.38. Closing with a Code Display.
View Source for example
<example xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Closing with a Code Display</title>
<p>
A paragraph can also end with a <tag>cd</tag>, a short display of code, as in
<cd>
<cline>print("the last thing")</cline>
</cd>
</p>
</example>
A paragraph can also end with a
<cd>, a short display of code, as inprint("the last thing")
Example 8.39. Closing with Displayed Mathematics.
View Source for example
<example xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Closing with Displayed Mathematics</title>
<p>
And a paragraph can end with displayed mathematics, the case that has always placed the mark on its own line, given here for comparison:
<md>
<mrow>a^2 + b^2 \amp = c^2</mrow>
</md>
</p>
</example>
And a paragraph can end with displayed mathematics, the case that has always placed the mark on its own line, given here for comparison:
\begin{align*}
a^2 + b^2 \amp = c^2
\end{align*}
Definition 8.40. A Statement Closing with a Description List.
View Source for definition
<definition xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A Statement Closing with a Description List</title>
<statement>
<p>
A <term>closing list</term> is a list that is the final child of a block's final paragraph, of any of three kinds; here the paragraph closes a <tag>statement</tag>.<dl>
<li>
<title>ordered</title>
<p>
numbered or lettered
</p>
</li>
<li>
<title>unordered</title>
<p>
bulleted
</p>
</li>
<li>
<title>description</title>
<p>
this one, with a term for each item
</p>
</li>
</dl>
</p>
</statement>
</definition>
A closing list is a list that is the final child of a blockβs final paragraph, of any of three kinds; here the paragraph closes a
<statement>.- ordered
-
numbered or lettered
- unordered
-
bulleted
- description
-
this one, with a term for each item
Theorem 8.41. A Proof Closing with a List.
View Source for theorem
<theorem xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>A Proof Closing with a List</title>
<statement>
<p>
Every proof that ends with a list is followed by its mark on a line of its own.
</p>
</statement>
<proof>
<p>
The proof has two cases.
<ol>
<li>
<p>
The proof ends with running text, and the mark rides its last line.
</p>
</li>
<li>
<p>
The proof ends with a list, as this one does, and the mark takes the next line.
</p>
</li>
</ol>
</p>
</proof>
</theorem>
Every proof that ends with a list is followed by its mark on a line of its own.
Proof.
View Source for proof
<proof xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<p>
The proof has two cases.
<ol>
<li>
<p>
The proof ends with running text, and the mark rides its last line.
</p>
</li>
<li>
<p>
The proof ends with a list, as this one does, and the mark takes the next line.
</p>
</li>
</ol>
</p>
</proof>
The proof has two cases.
-
The proof ends with running text, and the mark rides its last line.
-
The proof ends with a list, as this one does, and the mark takes the next line.
Subsection 8.10 Miscellaneous Blocks
View Source for subsection
<subsection xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Miscellaneous Blocks</title>
<assemblage>
<p>
A minimal <tag>assemblage</tag>.
</p>
</assemblage>
<aside>
<title>A title</title>
<p>
A final <tag>aside</tag> to test behavior towards the end of a page.
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
</p>
</aside>
</subsection>
View Source for assemblage
<assemblage xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<p>
A minimal <tag>assemblage</tag>.
</p>
</assemblage>
A minimal
<assemblage>.
Aside: A title.
Outcomes: Our results
View Source for outcomes
<outcomes xmlns:pi="http://pretextbook.org/2020/pretext/internal">
<title>Our results</title>
<introduction>
<p>
A minimal <tag>outcome</tag>.
</p>
</introduction>
<ul>
<li>
Stress test HTML themes
</li>
<li>
Locally, test outcomes
</li>
</ul>
</outcomes>
A minimal
<outcome>.
-
Stress test HTML themes
-
Locally, test outcomes
A minimal
<conclusion>.

