v1.1.0 Refactor
This commit is contained in:
John Haverlack
parent
eec6a52baa
commit
e95f8be774
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@ -1,5 +1,4 @@
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scripts/tmp
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scripts/deps
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lib/mathjax
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conf/frontmatter*
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conf/header.tex
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conf/*
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@ -13,12 +13,12 @@
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"state": {
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"type": "markdown",
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"state": {
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"file": "chapters/01_Getting_Started.md",
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"file": "chapters/Preface.md",
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"mode": "source",
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"source": false
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},
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"icon": "lucide-file",
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"title": "01_Getting_Started"
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"title": "Preface"
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}
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}
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]
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@ -78,8 +78,7 @@
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}
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],
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"direction": "horizontal",
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"width": 314.5,
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"collapsed": true
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"width": 314.5
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},
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"right": {
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"id": "90580ebd1e9dc8ca",
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@ -271,17 +270,21 @@
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},
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"active": "9aca980657068944",
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"lastOpenFiles": [
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"templates/style_epub.css",
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"templates/style.css",
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"templates/pandoc.yaml",
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"templates/metadata.yaml",
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"templates/epub_template.html",
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"conf/sedYBewXK",
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"conf/sedEJ4vx7",
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"conf/sedhZUvts",
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"conf/sedX6LM6n",
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"conf/sedvTzKO0",
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"conf/sedlEPqb2",
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"build/html/basic-book-builder.html",
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"conf/frontmatter.html",
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"conf/html.yaml",
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"build/html/lib/img/6-node-directed-compete-graph.pdf",
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"build/html/lib/img/4-node-directed-graph.png",
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"build/html/lib/img/2-node-undirected-complete-graph.png",
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"build/html/lib/img/2-node-directed-graph.png",
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"build/html/lib/mathjax",
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"build/html/lib/img",
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"build/html/lib/diag",
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"build/html/lib",
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"build/html/conf",
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"build/html",
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"chapters/01_Getting_Started.md",
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"build/pdf/basic-book-builder.pdf",
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"chapters/AppendixA.md",
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"chapters/00_Introduction.md",
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"build/html/lib/img/unit-circle-with-tau.png",
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@ -291,10 +294,6 @@
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"build/html/lib/img/directed-proximity.png",
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"build/html/lib/img/Unit_circle_angles_color.png",
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"build/html/lib/img/UAFLogo_A_blue.png",
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"build/html/lib/img/UAFLogo_A_black.png",
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"build/html/lib/img/UAF.png",
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"build/html/lib/img/UAF-ACEP.png",
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"chapters/01_Getting_Started.md",
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"chapters/02_Features.md",
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"chapters/Glossary.md",
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"chapters/Terminology.md",
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39
Makefile
39
Makefile
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.PHONY: all bootstrap latex index pdf html markdown clean
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PANDOC = pandoc
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XELATEX = xelatex -interaction=nonstopmode -halt-on-error -file-line-error
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BASE = conf/pandoc.yaml
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METADATA = conf/metadata.yaml
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METADATA = metadata.yaml
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# Extract metadata fields
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META_NAME := $(shell sed -n 's/^name:[[:space:]]*//p' $(METADATA))
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@ -20,10 +21,21 @@ MD_BUILD = build/md
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all: html pdf markdown
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# ---------------------------------------------
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# Globals
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# ---------------------------------------------
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bootstrap:
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mkdir -p conf
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cp -r templates/pandoc.yaml conf/pandoc.yaml
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cp -r templates/style.css conf/style.css
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cp -r templates/style_epub.css conf/style_epub.css
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# ---------------------------------------------
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# LATEX PHASE (Pandoc → LaTeX)
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# ---------------------------------------------
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latex:
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latex: bootstrap
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rm -rf $(LATEX_BUILD)
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mkdir -p $(LATEX_BUILD)/lib/img
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mkdir -p $(LATEX_BUILD)/lib/diag
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@ -70,7 +82,7 @@ pdf: index
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# ============================================================
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# HTML
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# ============================================================
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html:
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html: bootstrap
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rm -rf $(HTML_BUILD)
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mkdir -p $(HTML_BUILD)/lib/img $(HTML_BUILD)/lib/diag $(HTML_BUILD)/lib/mathjax $(HTML_BUILD)/conf
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# ============================================================
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# EPUB
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# ============================================================
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epub:
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rm -rf $(EPUB_BUILD)
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mkdir -p $(EPUB_BUILD)/media
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# FIXME: Needs work before release
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#
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# epub:
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# rm -rf $(EPUB_BUILD)
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# mkdir -p $(EPUB_BUILD)/media
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scripts/replace-metadata.sh $(METADATA) templates/epub.yaml conf/epub.yaml
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scripts/replace-metadata.sh $(METADATA) templates/frontmatter.html conf/frontmatter.html
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# scripts/replace-metadata.sh $(METADATA) templates/epub.yaml conf/epub.yaml
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# scripts/replace-metadata.sh $(METADATA) templates/frontmatter.html conf/frontmatter.html
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$(PANDOC) --defaults=$(BASE) --defaults=conf/epub.yaml \
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-o $(EPUB_BUILD)/$(META_NAME).epub
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# $(PANDOC) --defaults=$(BASE) --defaults=conf/epub.yaml \
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# -o $(EPUB_BUILD)/$(META_NAME).epub
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@echo "Produced $(EPUB_BUILD)/$(META_NAME).epub"
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# @echo "Produced $(EPUB_BUILD)/$(META_NAME).epub"
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# ============================================================
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# MARKDOWN
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# ============================================================
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markdown:
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markdown: bootstrap
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rm -rf $(MD_BUILD)
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mkdir -p $(MD_BUILD)
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cp -r lib/img $(MD_BUILD)/lib/
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@ -131,3 +145,4 @@ markdown:
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# ============================================================
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clean:
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rm -rf build
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rm -rf conf
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Load Diff
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---
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bibliography:
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- lib/zotero.bib
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link-citations: true
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mainfont: Linux Libertine O
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monofont: DejaVu Sans Mono
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sansfont: Linux Biolinum O
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title: Clear Skies - A Reference Architecture for Resilient Alaskan
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Microgrid Cyberinfrastructure
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title-block: false
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---
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<div class="frontmatter">
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<!-- Title Page -->
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<h1 style="margin-top:3em; font-size:2.4em; text-align:center;">Basic Book Builder</h1>
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<h2 style="text-align:center; font-weight:normal;">A Pandoc Template for building books and articles</h2>
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<div style="text-align:center; margin:2em 0;">
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<img src="lib/img/UAF-ACEP.png" alt="Cover illustration" style="max-height:100px;">
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</div>
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<hr style="margin:3em 0;">
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<!-- Metadata Page (PDF analog) -->
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<div style="text-align:left; margin-top:5em;">
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<!-- Metadata Page (PDF analog) -->
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<table style="margin-top:5em; width:100%; border-collapse:collapse;">
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<tbody>
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<tr><td style="width:30%; font-weight:bold;">Title</td><td>Basic Book Builder</td></tr>
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<tr><td style="font-weight:bold;">Subtitle</td><td>A Pandoc Template for building books and articles</td></tr>
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<tr><td style="font-weight:bold;">Affiliation</td><td>Alaska Center for Energy and Power</td></tr>
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<tr><td style="font-weight:bold;">Institution</td><td>University of Alaska Fairbanks</td></tr>
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<tr><td style="font-weight:bold;">Author</td><td>John Haverlack</td></tr>
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<tr><td style="font-weight:bold;">Copyright</td><td>© 2025 Alaska Center for Energy and Power</td></tr>
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<tr><td style="font-weight:bold;">License</td><td>CC BY-ND 4.0</td></tr>
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<tr><td style="font-weight:bold;">Version</td><td>1.0.0</td></tr>
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<tr><td style="font-weight:bold;">Date</td><td>2025-11-13</td></tr>
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<tr><td style="font-weight:bold;">State</td><td>BETA</td></tr>
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<tr><td style="font-weight:bold;">Source</td><td>https://github.com/jehaverlack/basic-book-builder</td></tr>
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</tbody>
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</table>
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</div>
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<hr style="margin:4em 0;">
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</div>
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- [Introduction](#introduction)
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- [Conventions](#conventions)
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- [Getting Started](#getting-started)
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- [Installing Pre-Requisites](#installing-pre-requisites)
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- [Required](#required)
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- [Optional](#optional)
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- [Editing the Configuration](#editing-the-configuration)
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- [Editing the Book](#editing-the-book)
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- [Configuration](#configuration)
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- [FrontMatter Config](#frontmatter-config)
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- [Editing the Content](#editing-the-content)
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- [Citations](#citations)
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- [Usage: Building the Book](#usage-building-the-book)
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- [Example Content](#example-content)
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- [SI Conversion Factors](#si-conversion-factors)
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- [Physical Constants](#physical-constants)
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- [Fine Structure Constant](#fine-structure-constant)
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- [Newton’s Law of Gravity](#newtons-law-of-gravity)
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- [Relativistic Energy Momentum
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Relation](#relativistic-energy-momentum-relation)
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- [Planck’s Constant](#plancks-constant)
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- [Planck Length](#planck-length)
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- [Fine Structure Constant](#fine-structure-constant-1)
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- [Sage Code](#sage-code)
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- [Terminology](#terminology)
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- [Citations](#citations-1)
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# Introduction
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This is a basic book (or article) builder template based on a Pandoc
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build process in conjunction with a number of other tools to generate
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PDF, ODT, HTML, LaTex, Markdown, and Epub book output formats from
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Markdown source content , which can optionally be edited as an Obsidian
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vault.
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This book builder template has been curated by John Haverlack.([“John
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Haverlack ACEP” n.d.](#ref-JohnHaverlackACEP))
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## Conventions
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A few callout box styles have been added to easily highlight content.
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<div class="callout-established">
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**Established Concept**
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Einsteins Relativistic Dynamics Equations
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*E*<sup>2</sup> = (*m*<sub>0</sub>⋅*c*<sup>2</sup>)<sup>2</sup> + (*p*⋅*c*)<sup>2</sup>
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</div>
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<div class="callout-proposed">
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**Proposed Concept**
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With the speed of light, *c* = 1:
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*E*<sup>2</sup> = *m*<sub>0</sub><sup>2</sup> + *p*<sup>2</sup>
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</div>
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<div class="callout-speculative">
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**Speculative Concept**
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With the speed of light, *c* = 1:
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*E*<sup>2</sup> = *m*<sub>0</sub><sup>2</sup> + *p*<sup>2</sup>
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</div>
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<div class="callout-caution">
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**Caution Note**
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Beware of this section.
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</div>
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<div class="callout-warning">
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**Warning Note**
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Beware of this section.
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</div>
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<div class="callout-danger">
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**Alerts**
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Extreme Highlight
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</div>
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# Getting Started
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## Installing Pre-Requisites
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For Debian / ZorinOS and likely Ubuntu based systems.
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<div class="callout-caution">
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**TODO**
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It would be nice to roll a setup script to take care of this.
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</div>
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### Required
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#### Pandoc
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- https://pandoc.org/
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- [Download](https://github.com/jgm/pandoc/releases/tag/3.8.2.1)
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<!-- -->
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sudo apt install https://github.com/jgm/pandoc/releases/download/3.8.2.1/pandoc-3.8.2.1-1-amd64.deb
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#### Code Editor
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<div class="callout-established">
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**Code Editor**
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[VSCodium](https://vscodium.com/) is recommend for privacy
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(telemetry/tracking) reasons - https://vscodium.com/
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</div>
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But any text editor will work. \#### make
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sudo apt install make
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#### jq and yq
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sudo apt install jq yq
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#### texlive
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sudo apt install texlive texlive-xetex texlive-latex-extra texlive-fonts-recommended texlive-fonts-extra
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#### MathJax
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- https://www.mathjax.org/
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<!-- -->
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wget https://registry.npmjs.org/mathjax/-/mathjax-3.2.2.tgz
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tar xzf mathjax-3.2.2.tgz
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mv package/es5/* lib/mathjax
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rm -rf package mathjax-3.2.2.tgz
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<div class="callout-caution">
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**TODO**
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This need to be rolled into a setup script.
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</div>
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### Optional
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The following are not strictly requires to use this book builder
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template.
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#### Obsidian
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<div class="callout-established">
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**Highly Recommended**
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||||
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||||
Editing book chapter content in Obsidian is a very productive means for
|
||||
editing Markdown source content.
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||||
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||||
</div>
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||||
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||||
- https://obsidian.md/
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||||
- [Deb
|
||||
Package](https://github.com/obsidianmd/obsidian-releases/releases/download/v1.9.14/obsidian_1.9.14_amd64.deb)
|
||||
|
||||
<!-- -->
|
||||
|
||||
sudo apt install https://github.com/obsidianmd/obsidian-releases/releases/download/v1.9.14/obsidian_1.9.14_amd64.deb
|
||||
|
||||
#### Zotero
|
||||
|
||||
<div class="callout-established">
|
||||
|
||||
**Highly Recommended**
|
||||
|
||||
If you need to managed citations and references, Zotero integration is
|
||||
highly recommended.
|
||||
|
||||
</div>
|
||||
|
||||
- https://www.zotero.org/
|
||||
|
||||
<!-- -->
|
||||
|
||||
sudo cp ./scripts/deps/zotero.list /etc/apt/sources.list.d/
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||||
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||||
sudo apt update
|
||||
|
||||
sudo apt install zotero
|
||||
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||||
##### Better BibTex for Zotero
|
||||
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||||
Install the Better BibTex Plugin for Zotero - Zotero \> Tool \> Plugins
|
||||
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||||
##### Export citations.bib
|
||||
|
||||
- Zotero \> File \> Export Library \> Format: Better BibTeX
|
||||
- [ ] Keep Updated
|
||||
- [ ] Save to: \~/Documents/Lib/zotero.bib
|
||||
- [ ] Symlink your \~/Documents/Lib/Citations.bib to
|
||||
basic-book-builder/lib/zotero.bib
|
||||
|
||||
##### Zotero Connector Browser Plugin
|
||||
|
||||
- https://chromewebstore.google.com/detail/zotero-connector/ekhagklcjbdpajgpjgmbionohlpdbjgc
|
||||
|
||||
Provides you the ability to auto add Web resources to your Zotero
|
||||
citation database.
|
||||
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||||
#### lmodern
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||||
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||||
sudo apt install lmodern
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||||
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||||
#### epubcheck
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||||
|
||||
sudo apt install epubcheck
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||||
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||||
#### foliate
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||||
|
||||
An EPub Reader
|
||||
|
||||
- https://johnfactotum.github.io/foliate/
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||||
|
||||
<!-- -->
|
||||
|
||||
sudo apt install https://github.com/johnfactotum/foliate/releases/download/2.6.4/com.github.johnfactotum.foliate_2.6.4_all.deb
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||||
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||||
#### calibre
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||||
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||||
An EPub Reader
|
||||
|
||||
- https://calibre-ebook.com
|
||||
|
||||
<!-- -->
|
||||
|
||||
sudo apt install calibre
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||||
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||||
## Editing the Configuration
|
||||
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||||
# Editing the Book
|
||||
|
||||
### Configuration
|
||||
|
||||
There are a number of other config files for each format:
|
||||
|
||||
conf/
|
||||
├── epub-metadata.xml
|
||||
├── epub_template.html
|
||||
├── epub.yaml
|
||||
├── frontmatter_epub.md
|
||||
├── frontmatter_epub.xhtml
|
||||
├── frontmatter.html
|
||||
├── frontmatter.tex
|
||||
├── header.tex
|
||||
├── html.yaml
|
||||
├── latex.yaml
|
||||
├── markdown.yaml
|
||||
├── metadata.yaml
|
||||
├── pandoc.yaml
|
||||
├── pdf.yaml
|
||||
├── style.css
|
||||
└── style_epub.css
|
||||
|
||||
#### Main Config Files
|
||||
|
||||
- metadata.yaml - Set Title, etc
|
||||
- pandoc.yaml - Main Pandoc Config \#### Per format Configs
|
||||
- `pdf.yaml`
|
||||
- `html.yaml`
|
||||
- `latex.yaml`
|
||||
- `epub.yaml`
|
||||
|
||||
### FrontMatter Config
|
||||
|
||||
There are 2 Version of the FrontMatter for PDF, and HTML bases formats
|
||||
that set the Title, Author, Verizon, Copyright, etc…
|
||||
|
||||
- `frontmatter.tex`
|
||||
- `frontmatter.html`
|
||||
- `frontmatter_epub.*` - Work in Progress
|
||||
|
||||
> There is probably a better way to do this.
|
||||
|
||||
## Editing the Content
|
||||
|
||||
To edit the book open the `basic-book-builder` directory as an Obsidian
|
||||
Vault.
|
||||
|
||||
- Edit the Markdown content in the `chapters` directory.
|
||||
|
||||
### Citations
|
||||
|
||||
> Note: the Zotero database needs configured to export automatically to
|
||||
> `lib/citations.bib`
|
||||
|
||||
To insert a Zotero Citation - Ensure the Zotero App and DB are running
|
||||
on you system. - Alt + I (to insert citation) - Search for and select
|
||||
citation reference
|
||||
|
||||
## Usage: Building the Book
|
||||
|
||||
#### PDF
|
||||
|
||||
make pdf
|
||||
|
||||
#### HTML
|
||||
|
||||
make html
|
||||
|
||||
#### LaTex
|
||||
|
||||
make latex
|
||||
|
||||
#### Markdown
|
||||
|
||||
make markdown
|
||||
|
||||
#### EPub
|
||||
|
||||
> Note: This ePub configuration still needs tuning.
|
||||
|
||||
make epub
|
||||
|
||||
# Example Content
|
||||
|
||||
In *R**ν* the [Planck
|
||||
Length](https://en.wikipedia.org/wiki/Planck_units#Planck_length) is the
|
||||
universal unit for measurement of distance, and is defined approximately
|
||||
to be:
|
||||
$$\\boxed{L_P=\\sqrt{\\hbar}=5.72928\\times10^{-35}m=1 L}$$
|
||||
Where 1 *L*, is 1 Planck Length of distance.
|
||||
|
||||
### SI Conversion Factors
|
||||
|
||||
The following conversion factors can be used to convert observable
|
||||
quantities of measure from the *SI* system of units to *R**ν* to \~6
|
||||
significant digits.
|
||||
|
||||
| Conversion Factor | Symbol | Value |
|
||||
|------------------------------|-------------------|--------------------------------------------------------|
|
||||
| meters to Planck Length | *χ*<sub>*P*</sub> | $1.74542\\times10^{34} \\frac{L}{m}$ |
|
||||
| seconds to Planck Length | *τ*<sub>*p*</sub> | $5.23264\\times10^{42} \\frac{L}{s}$ |
|
||||
| mass to Planck Length | *G*<sub>*P*</sub> | $1.62871\\times10^8 \\frac{L}{kg}$ |
|
||||
| energy to Planck Length | *E*<sub>*P*</sub> | $1.81219\\times10^9 \\frac{L}{J}$ |
|
||||
| momentum to Planck Length | *P*<sub>*P*</sub> | $5.43280\\times10^{-1} \\frac{L\\cdot s}{kg \\cdot m}$ |
|
||||
| temperature to Planck Length | *k*<sub>*P*</sub> | $2.501998\\times10^{-14} \\frac{L}{K}$ |
|
||||
| charge to Planck Length | *C*<sub>*P*</sub> | $1.89007\\times10^{18} \\frac{L}{C}$ |
|
||||
|
||||
### Physical Constants
|
||||
|
||||
Applying conversion factors from the table above, we can convert SI
|
||||
values to Reduced Natural Units. For example, performing this analysis
|
||||
on the the speed of light yields a unit-less number with a value of 1:
|
||||
|
||||
$c = 299792458 \\frac{m}{s} = 299792458 \\frac{m}{s} \\cdot 1.74542\\times10^{34} \\frac{L}{m} \\cdot \\frac{1}{5.23264\\times10^{42} \\frac{L}{s}} = 1.00000$
|
||||
|
||||
| Quantity | Symbol | SI | *ν* |
|
||||
|--------------------------------|-------------------|-----------------------------------------------------------------|-----------------------------------------|
|
||||
| Speed of Light | *c* | $299792458 \\frac{m}{s}$ | 1 |
|
||||
| Reduced Gravitational Constant | *G*<sub>0</sub> | $8.38659\\times10^{-10} \\frac{m^3}{kg \\cdot s^2}$ | 1 |
|
||||
| Boltzmann’s Constant | *k* | $k=1.380649\\times10^-23 \\frac{J}{K}$ | 1 |
|
||||
| Permittivity of Free Space | *ϵ*<sub>*o*</sub> | $8.854187817620\\times10^{-12} \\frac{C^{2}s^2}{kg \\cdot m^3}$ | 1 |
|
||||
| Permeability of Free Space | *μ*<sub>*o*</sub> | $\\huge{\\frac{1}{\\epsilon\_{o} \\cdot c^{2}}}$ | 1 |
|
||||
| Reduced Planck’s Constant | ℏ | $1.054571726\\times10^-34 \\frac{kg \\cdot m^2}{s}$ | 1*L*<sup>2</sup> |
|
||||
| Mass of the Electron | *m*<sub>*e*</sub> | 9.10938 × 10<sup>−31</sup>*k**g* | 1.48366 × 10<sup>−22</sup>*L* |
|
||||
| Charge of the Electron | *e*<sup>−</sup> | − 1.60218 × 10<sup>−19</sup>*C* | − 3.02822 × 10<sup>−1</sup>*L* |
|
||||
| Unit Cycle | *Θ* | 2*π* = 6.28318... *R**a**d**i**a**n**s* | 1*τ* = 6.28318... *R**a**d**i**a**n**s* |
|
||||
|
||||
## Fine Structure Constant
|
||||
|
||||
As a consistency check, we compute the *[Fine Structure
|
||||
Constant](https://en.wikipedia.org/wiki/Fine-structure_constant)* using
|
||||
Reduced Natural Units which is a unit less ratio that should be
|
||||
independent of our system of units.
|
||||
|
||||
$\\huge{\\alpha=\\frac{e^2}{4\\pi\\epsilon_o\\hbar c}=\\frac{e^2}{2\\tau}=0.00729735≈\\frac{1}{137}}$
|
||||
|
||||
#### Dimensional Analysis
|
||||
|
||||
The reader should be familiar with high school physics and chemistry
|
||||
[dimensional
|
||||
analysis](https://en.wikipedia.org/wiki/Dimensional_analysis).
|
||||
|
||||
- 1 *m**e**t**e**r* (*m*) = 100 *c**e**n**t**i**m**e**t**e**r**s* (*c**m*)
|
||||
- 1 *k**i**l**o**m**e**t**e**r* (*k**m*) = 1000 *m**e**t**e**r**s* (*m*)
|
||||
- 1 *m**i**l**e* = 5280 *f**e**e**t* (*f**t* *o**r* ′)
|
||||
- $1\\ foot\\ (ft\\ or\\ ') = 12\\ inches\\ (in\\ or\\ ")$
|
||||
- $1\\ inch\\ (") = 2.54\\ centimeters\\ (cm)$
|
||||
|
||||
How many kilometers are in 1 mile?
|
||||
$1\\ mile = 1\\ mile \\times \\frac{5280\\ ft}{mile} \\times \\frac{12\\ in}{ft} \\times \\frac{2.54\\ cm}{in}\\times \\frac{1\\ m}{100 cm} \\times \\frac{1\\ km}{1000 m} = \\frac{5280 \\times 12 \\times 2.54}{100 \\times 1000}\\ km = \\frac{160934.40}{100000}\\ km = 1.6\\ km$
|
||||
Note that each unit in the denominator cancels with one if the numerator
|
||||
until we are left with only km.
|
||||
|
||||
## Newton’s Law of Gravity
|
||||
|
||||
The force of gravity (*F*<sub>*g*</sub>) between 2 masses, *m*1 and *m*2
|
||||
separated by distance *r* is given by [Newton’s Law of
|
||||
Gravity](https://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation):
|
||||
|
||||
$F\_{g} = G \\frac{m\_{1} m\_{2}}{r^{2}}$
|
||||
|
||||
Where *G*, is the [Gravitational
|
||||
Constant](http://en.wikipedia.org/wiki/Gravitational_Constant).
|
||||
|
||||
$G = 6.67430 \\times 10^{-11}\\ N\\frac{m^2}{kg^2}$
|
||||
|
||||
The strength of gravitational force follow the inverse square law
|
||||
distributing gravitational flux over the surface area of a sphere
|
||||
(4*π**r*<sup>2</sup>).
|
||||
|
||||
#### Inverse Square Law
|
||||
|
||||
Any source of a signal strength (*S*<sub>0</sub>) that radiates
|
||||
isotropically in 3-dimensional space will distribute that signal
|
||||
strength (*S*<sub>0</sub>) over the surface area of a sphere
|
||||
(*S**A* = 4*π**r*) of radius (*r*). Such that the intensity (*I*) at
|
||||
distance (*r*) is:
|
||||
|
||||
$$I(r) = \\frac{S_0}{4 \\pi r^{2}}=\\frac{S_0}{2 \\tau r^{2}}$$
|
||||
 \#### *R**ν*
|
||||
Reduced Gravitational Constant In this version of Newton’s Law of
|
||||
Gravity we introduce a new constant *G*<sub>0</sub>, the reduced
|
||||
gravitational constant to accommodate for the factor of 4*π* = 2*τ*
|
||||
which is has been integrated in the SI version of the gravitational
|
||||
constant.
|
||||
|
||||
$F_g =G \\frac{m\_{1} m\_{2}}{r^{2}}= G_0 \\frac{m\_{1} m\_{2}}{4 \\pi r^{2}}=G_0 \\frac{m\_{1} m\_{2}}{2 \\tau r^{2}}$
|
||||
|
||||
Where:
|
||||
|
||||
$G = \\frac{G\_{0}}{2\\tau} = 6.67384 \\times 10^{-11} \\frac{N \\cdot m^2}{kg^2}$
|
||||
|
||||
Analyzing the units:
|
||||
$$\\frac{N \\cdot m^2}{kg^2} = \\left( \\frac{\\left( kg \\cdot \\frac{m}{s^2} \\right) \\cdot m^2}{kg^2} \\right)=\\frac{m^3}{s^2 kg}$$
|
||||
Converting seconds to meters with the SI speed of light as a conversion
|
||||
factor:
|
||||
$$\\frac{m^3}{s^2 kg}\\cdot\\frac{1}{c^2}=\\frac{m^3}{s^2 kg}\\cdot\\frac{s^2}{m^2}=\\frac{m}{kg}$$
|
||||
|
||||
Thus where space and time are measured in units of meters, the reduced
|
||||
gravitational constant, is:
|
||||
|
||||
$$\\boxed{G_0=\\frac{2\\tau G}{c^2}=\\frac{2\\tau \\cdot 6.67384 \\times 10^{-11}}{299792458^2} \\frac{m}{kg} = 9.33135 \\times 10^-27 \\frac{m}{kg}}$$
|
||||
|
||||
> Observation This implies that not only can space an time be measure in
|
||||
> units of meters, but so can mass.
|
||||
|
||||
### Relativistic Energy Momentum Relation
|
||||
|
||||
Einsteins [Relativistic Energy
|
||||
Momentum](https://en.wikipedia.org/wiki/Energy%E2%80%93momentum_relation)
|
||||
relationship shows a Pythagorean relation between the total energy
|
||||
(*E*), rest mass (*m*<sub>0</sub>) and momentum (*p*) of a system.
|
||||
|
||||
*E*<sup>2</sup> = (*m*<sub>0</sub>⋅*c*<sup>2</sup>)<sup>2</sup> + (*p*⋅*c*)<sup>2</sup>
|
||||
|
||||
Where space and time are both measure in units of meters, c=1.
|
||||
|
||||
*E*<sup>2</sup> = (*m*<sub>0</sub>)<sup>2</sup> + (*p*)<sup>2</sup>
|
||||
|
||||
From this we can see that Energy, Momentum and Mass have equivalent
|
||||
units.
|
||||
|
||||
> *While we do not really know what energy, mass and momentum are we
|
||||
> know that they are fundamentally “made” out of the same stuff because
|
||||
> they have the same units.*
|
||||
|
||||
##### Objects of mass at rest
|
||||
|
||||
For an object at rest with no momentum (*p* = 0) we see Einstein’s
|
||||
famous equations:
|
||||
|
||||
*E* = *m*<sub>0</sub> ⋅ *c*<sup>2</sup>
|
||||
|
||||
Or, with *c* = 1, this is much simpler to understand. Energy = Mass
|
||||
|
||||
*E* = *m*<sub>0</sub>
|
||||
|
||||
##### Zero mass objects moving at the speed of light
|
||||
|
||||
And for objects with no mass, like photos, (*m*<sub>0</sub> = 0):
|
||||
|
||||
*E* = *p**c*
|
||||
|
||||
Or, with *c* = 1, this is much simpler to understand. Energy = Momentum
|
||||
|
||||
*E* = *p*
|
||||
|
||||
## Planck’s Constant
|
||||
|
||||
The [Reduced Planck
|
||||
constant](https://en.wikipedia.org/wiki/Planck_constant) , ħ, represents
|
||||
a conversion factor for relating the frequency, *ω* (in 2*π* radians per
|
||||
second), of a photon to the energy of that photon. This can easily be
|
||||
seen from the simple but profound relationship:
|
||||
|
||||
*E* = ℏ*ω*
|
||||
|
||||
Where:
|
||||
|
||||
ℏ = 1.054571726 × 10<sup>−34</sup>*J* ⋅ *s*
|
||||
|
||||
and
|
||||
|
||||
$J \\cdot s = {kg}\\cdot\\frac{m^2}{s}$
|
||||
|
||||
> Reduced Planck’s Constant
|
||||
> $\\hbar = \\frac{h}{2\\pi} = \\frac{h}{\\tau}$
|
||||
|
||||
Simplifying our units by converting time and mass to units of meters:
|
||||
$$\\boxed{\\hbar=1.054571726 \\times 10^{−34} {kg}\\cdot\\frac{m^2}{s}\\cdot\\frac{G_0}{c}=3.282462\\times10^{-69}m^2}$$
|
||||
|
||||
Which suggest that the Plank constant can be interpreted as an areas for
|
||||
which the square root of is suspiciously close to the Plank length:
|
||||
|
||||
$$\\boxed{\\sqrt{\\hbar}=\\sqrt{3.282462\\times10^{-69}m^2}=5.72928\\times10^{-35}m}$$
|
||||
|
||||
#### Planck Area
|
||||
|
||||
The [Planck
|
||||
Area](https://en.wikipedia.org/wiki/Planck_units#Derived_units) is the
|
||||
square of the [Planck
|
||||
Length](https://en.wikipedia.org/wiki/Planck_units#Planck_length).
|
||||
|
||||
$l\_{P}= \\sqrt{\\frac{\\hbar G}{c^3}}$
|
||||
|
||||
and $l\_{P}^{2}= \\frac{\\hbar G}{c^3}$
|
||||
|
||||
In *R**ν* units both *c* and *G*<sub>*o*</sub> are 1.
|
||||
|
||||
$l\_{P} = \\sqrt{\\hbar}$
|
||||
|
||||
and *l*<sub>*P*</sub><sup>2</sup> = ℏ \## Bekenstein’s Bound After
|
||||
having recently read *Three Roads to Quantum Gravity* by Lee Smolin, I
|
||||
now suspect the meaning of this areas is related to the [Bekensteins
|
||||
Law](https://en.wikipedia.org/wiki/Bekenstein_bound) as applied to a
|
||||
surface areas surrounding a mass. Where the [thermodynamic
|
||||
entropy](https://en.wikipedia.org/wiki/Entropy_(statistical_thermodynamics)),
|
||||
*S*, is proportional to the the enclosed surface area, *A*.
|
||||
|
||||
$S=\\frac{1}{4}\\cdot\\frac{A}{G\\hbar}$
|
||||
|
||||
$S=\\frac{k c^{3} A}{4 G \\hbar}$
|
||||
|
||||
$S \\le \\frac{2\\pi k R E}{\\hbar c} = \\frac{\\tau R k E}{\\hbar c}$
|
||||
|
||||
From our new values for *G*<sub>0</sub>and ℏ we can likely rewrite this:
|
||||
|
||||
$S=\\frac{\\pi\\cdot A}{\\hbar G_0}$
|
||||
|
||||
With the limiting case being at the Plank scale.
|
||||
|
||||
$S=\\frac{\\pi\\cdot \\sqrt{\\hbar}}{\\hbar G_0}$
|
||||
|
||||
## Planck Length
|
||||
|
||||
https://en.wikipedia.org/wiki/Planck_length
|
||||
|
||||
The concept of the Planck Length comes from exploring the limits of
|
||||
Quantum Mechanics and General Relativity. The limits of General
|
||||
Relativity can be seen a the event horizon of a black hole, described by
|
||||
the Schwarzschild Radius. And the limits of Quantum Mechanics can be
|
||||
found in the Compton Wavelength for a given quanta.
|
||||
|
||||
The [Schwarzschild
|
||||
Radius](https://simple.wikipedia.org/wiki/Schwarzschild_radius) is
|
||||
defined as the distance at which light cannot escape from the
|
||||
gravitational field of a mass (m):
|
||||
|
||||
Classic Derivation.
|
||||
|
||||
$r_S=\\frac{2G m}{c^2}$
|
||||
|
||||
The reduced [Compton
|
||||
Wavelength](https://en.wikipedia.org/wiki/Compton_wavelength) represents
|
||||
a lower limit on the wavelength for quanta that can interact with a
|
||||
quantum particle with mass (m):
|
||||
|
||||
$\\lambda_C=\\frac{h}{m c}$
|
||||
|
||||
$\\bar{\\lambda_C}=\\frac{2\\pi\\hbar}{m c}=\\frac{\\tau\\hbar}{m c}$
|
||||
|
||||
And set the Schwarzschild Radius equal to the Compton Wavelength:
|
||||
*r*<sub>*S*</sub> = *λ*<sub>*C*</sub>
|
||||
|
||||
$\\frac{2Gm}{c^{2}}=\\frac{h}{m c}$
|
||||
|
||||
$m^{2}= \\frac{hc}{2G}$
|
||||
|
||||
$m = \\sqrt{\\frac{hc}{2G}}$
|
||||
|
||||
$l_P=\\frac{2G\\sqrt{\\frac{hc}{2G}}}{c^2}$
|
||||
$l_P=\\frac{2G\\sqrt{\\frac{hc}{2G}}}{c^{2}}= \\sqrt{\\frac{2Gh}{c^2}}$
|
||||
|
||||
With reduced Compton Wavelength $r_S=\\bar{\\lambda_C}$
|
||||
|
||||
$\\frac{2Gm}{c^{2}}=\\frac{\\tau\\hbar}{m c}$
|
||||
|
||||
$m^2=\\frac{\\tau\\ \\hbar\\ c}{2G}$
|
||||
|
||||
$m = \\sqrt{\\frac{\\tau\\ \\hbar\\ c}{2G}}$
|
||||
|
||||
$l_P=\\frac{2G\\sqrt{\\frac{\\tau\\ \\hbar\\ c}{2G}}}{c^2}$
|
||||
|
||||
$l_P=\\frac{2G\\sqrt{\\frac{\\tau\\ \\hbar\\ c}{2G}}}{c^{2}}=\\sqrt{\\frac{4\\ \\tau\\ G\\ \\hbar}{c^3}}$
|
||||
|
||||
If we reduce the units in these equation to those of mass and time
|
||||
measured in meters.
|
||||
|
||||
$l_P=\\sqrt{4\\tau\\hbar G\_{o}}$
|
||||
|
||||
and
|
||||
|
||||
$\\lambda_C=\\frac{\\hbar}{m}$
|
||||
|
||||
$m=R_s=\\lambda_C=\\frac{\\hbar}{m}$
|
||||
|
||||
This is known as the Planck Mass, *M*<sub>*P*</sub>.
|
||||
$M_P=m=\\sqrt{\\hbar}$
|
||||
|
||||
Solving the Compton Wavelength for distance we find the classic Plank
|
||||
Length:
|
||||
|
||||
$\\lambda_C=\\frac{\\hbar}{\\sqrt{\\hbar}}=\\frac{\\sqrt{\\hbar}}{\\sqrt{\\hbar}}\\cdot\\frac{\\hbar}{\\sqrt{\\hbar}}=\\sqrt{\\hbar}=L_P$
|
||||
|
||||
Which is in precise agreement with the value we found in above. Thus the
|
||||
Plank Length is:
|
||||
|
||||
$L_P=\\sqrt{\\hbar}=5.72928\\times10^{-35}m$
|
||||
|
||||
When we measure distance, time, and mass in units of distance, c=1, and
|
||||
the Plank Time, *T*<sub>*P*</sub>, is equal to Plank Length,
|
||||
*L*<sub>*P*</sub>, which is equal to the Plank Mass, *M*<sub>*P*</sub>:
|
||||
|
||||
$$\\boxed{L_P=T_P=M_P}$$
|
||||
|
||||
| Conversion Factor | Symbol | Value |
|
||||
|------------------------------|-------------------|--------------------------------------------------------|
|
||||
| meters to Planck Length | *χ*<sub>*P*</sub> | $1.74542\\times10^{34} \\frac{L}{m}$ |
|
||||
| seconds to Planck Length | *τ*<sub>*p*</sub> | $5.23264\\times10^{42} \\frac{L}{s}$ |
|
||||
| mass to Planck Length | *G*<sub>*P*</sub> | $1.62871\\times10^8 \\frac{L}{kg}$ |
|
||||
| energy to Planck Length | *E*<sub>*P*</sub> | $1.81219\\times10^9 \\frac{L}{J}$ |
|
||||
| momentum to Planck Length | *P*<sub>*P*</sub> | $5.43280\\times10^{-1} \\frac{L\\cdot s}{kg \\cdot m}$ |
|
||||
| temperature to Planck Length | *k*<sub>*P*</sub> | $2.501998\\times10^{-14} \\frac{L}{K}$ |
|
||||
| charge to Planck Length | *C*<sub>*P*</sub> | $1.89007\\times10^{18} \\frac{L}{C}$ |
|
||||
|
||||
Applying conversion factors from the table above, we can convert SI
|
||||
values to Reduced Natural Units.
|
||||
$c=\\frac{1}{\\sqrt{\\epsilon_o \\mu_o}}$
|
||||
|
||||
| Quantity | Symbol | SI | *ν* |
|
||||
|----------------------------|-------------------|-----------------------------------------------------------------|---------------------------------|
|
||||
| Speed of Light | *c* | $299792458 \\frac{m}{s}$ | 1 |
|
||||
| Gravitational Constant | *G*<sub>0</sub> | $8.38659\\times10^{-10} \\frac{m^3}{kg \\cdot s^2}$ | 1 |
|
||||
| Boltzmann’s Constant | *k* | $k=1.380649\\times10^-23 \\frac{J}{K}$ | 1 |
|
||||
| Permittivity of Free Space | *ϵ*<sub>*o*</sub> | $8.854187817620\\times10^{-12} \\frac{C^{2}s^2}{kg \\cdot m^3}$ | 1 |
|
||||
| Permeability of Free Space | *μ*<sub>*o*</sub> | $\\huge{\\frac{1}{\\epsilon\_{o} \\cdot c^{2}}}$ | 1 |
|
||||
| Planck’s Constant | ℏ | $1.054571726\\times10^-34 \\frac{kg \\cdot m^2}{s}$ | 1*L*<sup>2</sup> |
|
||||
| Mass of the Electron | *m*<sub>*e*</sub> | 9.10938 × 10<sup>−31</sup>*k**g* | 1.48366 × 10<sup>−22</sup>*L* |
|
||||
| Charge of the Electron | *e*<sup>−</sup> | − 1.60218 × 10<sup>−19</sup>*C* | − 3.02822 × 10<sup>−1</sup>*L* |
|
||||
|
||||
## Fine Structure Constant
|
||||
|
||||
https://en.wikipedia.org/wiki/Fine-structure_constant As a consistency
|
||||
check, we compute the *Fine Structure Constant* using Reduced Natural
|
||||
Units which is a unit less ratio that should be independent of our
|
||||
system of units.
|
||||
|
||||
$\\huge{\\alpha=\\frac{e^2}{4\\pi\\epsilon_o\\hbar c}=\\frac{e^2}{4\\pi}=0.00729735≈\\frac{1}{137}}$
|
||||
|
||||
This check confirms that our system of Reduced Natural Units has
|
||||
internally consistent values for *c*, *ϵ*<sub>*o*</sub>, ℏ and *e*−. And
|
||||
also *G*<sub>*o*</sub> which was used to computer prior values is also
|
||||
consistent.
|
||||
|
||||
## Sage Code
|
||||
|
||||
Unit Analysis computations have been performed with [Sage
|
||||
Math](https://www.sagemath.org/).
|
||||
|
||||
``` bash
|
||||
# Define constance
|
||||
one = 1.n(digits=6)
|
||||
pi = pi.n(digits=6)
|
||||
tau = 2 * pi
|
||||
t = tau
|
||||
|
||||
# Define the units
|
||||
meters = var('m')
|
||||
m = one*meters
|
||||
|
||||
seconds = var('s')
|
||||
s = seconds
|
||||
|
||||
kilograms = var('kg')
|
||||
kg = kilograms
|
||||
|
||||
newtons = kg * m / s^2
|
||||
N = newtons
|
||||
|
||||
joules = N * m
|
||||
J = joules
|
||||
|
||||
print("pi =", pi)
|
||||
print("tau =", t)
|
||||
|
||||
# Speed of light in meters/second
|
||||
speed_of_light = 299792458 * meters/seconds
|
||||
sol = speed_of_light
|
||||
c = sol
|
||||
print("si c =", c)
|
||||
|
||||
rnu_c = c / c
|
||||
print("R\u03BD c =", rnu_c)
|
||||
|
||||
# Gravitational Constant
|
||||
gravitational_constant = 6.67384e-11 * N*(m^2/kg^2)
|
||||
G = gravitational_constant
|
||||
print("si G =", G)
|
||||
|
||||
rnu_G = 4*pi*G/c^2
|
||||
Go = rnu_G
|
||||
print("R\u03BD Go =", Go)
|
||||
|
||||
|
||||
# Planck's Constant
|
||||
reduced_plancks_constant = 1.054571726e-34 * J*s
|
||||
h_bar = reduced_plancks_constant
|
||||
print("si \u210F =", h_bar)
|
||||
|
||||
rnu_h_bar = h_bar * Go / c
|
||||
print("R\u03BD "u"\u210F =", rnu_h_bar)
|
||||
|
||||
# Planck Length
|
||||
rnu_h_bar_str = str(rnu_h_bar)
|
||||
numerical_part_str = rnu_h_bar_str.split('*')[0]
|
||||
numerical_part_str = numerical_part_str.strip('()')
|
||||
numerical_part = float(numerical_part_str)
|
||||
rnu_sqrt_h_bar = numerical_part^(1/2)
|
||||
# ^ Sage cannot process sqrt on units... Lame.
|
||||
lP = rnu_sqrt_h_bar * m
|
||||
print("R\u03BD \u221A\u210F =", lP)
|
||||
```
|
||||
|
||||
#### Output
|
||||
|
||||
pi = 3.14159
|
||||
tau = 6.28319
|
||||
si c = 299792458*m/s
|
||||
Rν c = 1
|
||||
si G = (6.67384e-11)*m^3/(kg*s^2)
|
||||
Rν Go = (9.33135e-27)*m/kg
|
||||
si ℏ = (1.05457e-34)*kg*m^2/s
|
||||
Rν ℏ = (3.28246e-69)*m^2
|
||||
Rν √ℏ = (5.72928e-35)*m
|
||||
si lP = (1.61620e-35)*sqrt(m^2)
|
||||
Rν lP = (2.77455e-47)*sqrt(m^3/kg)
|
||||
|
||||
# Terminology
|
||||
|
||||
# Citations
|
||||
|
||||
<div id="refs" class="references csl-bib-body hanging-indent">
|
||||
|
||||
<div id="ref-JohnHaverlackACEP" class="csl-entry">
|
||||
|
||||
“John Haverlack ACEP.” n.d.
|
||||
https://www.uaf.edu/acep/about/our-team/john-haverlack.php. Accessed
|
||||
September 30, 2025.
|
||||
|
||||
</div>
|
||||
|
||||
</div>
|
||||
Binary file not shown.
File diff suppressed because it is too large
Load Diff
|
|
@ -1,248 +0,0 @@
|
|||
/* ------------------------------
|
||||
Base book typography
|
||||
------------------------------ */
|
||||
|
||||
body {
|
||||
font-family: "Libertinus Serif", Georgia, serif;
|
||||
max-width: 42em;
|
||||
margin: auto;
|
||||
padding: 3rem 1.25rem;
|
||||
line-height: 1.65;
|
||||
background: #fff;
|
||||
color: #111;
|
||||
}
|
||||
|
||||
/* ------------------------------
|
||||
Headings
|
||||
------------------------------ */
|
||||
|
||||
h1, h2, h3, h4 {
|
||||
font-family: "Libertinus Sans", sans-serif;
|
||||
font-weight: 600;
|
||||
margin-top: 2em;
|
||||
margin-bottom: 0.6em;
|
||||
}
|
||||
|
||||
h1 {
|
||||
font-size: 2.1rem;
|
||||
border-bottom: 2px solid #ddd;
|
||||
padding-bottom: 0.4rem;
|
||||
}
|
||||
|
||||
h1.title {
|
||||
display: none;
|
||||
}
|
||||
|
||||
h2 {
|
||||
font-size: 1.6rem;
|
||||
}
|
||||
|
||||
h3 {
|
||||
font-size: 1.25rem;
|
||||
}
|
||||
|
||||
/* ------------------------------
|
||||
Front matter page
|
||||
------------------------------ */
|
||||
|
||||
.frontmatter {
|
||||
text-align: center;
|
||||
margin-top: 10vh;
|
||||
}
|
||||
|
||||
.frontmatter img {
|
||||
max-width: 30%;
|
||||
margin: 2rem auto;
|
||||
display: block;
|
||||
}
|
||||
|
||||
/* ------------------------------
|
||||
Lists / paragraphs
|
||||
------------------------------ */
|
||||
|
||||
p {
|
||||
margin: 1em 0;
|
||||
}
|
||||
|
||||
ul, ol {
|
||||
padding-left: 1.5em;
|
||||
margin: 1em 0;
|
||||
}
|
||||
|
||||
/* ------------------------------
|
||||
Math block spacing
|
||||
------------------------------ */
|
||||
|
||||
.math.display {
|
||||
margin: 1.2em 0;
|
||||
}
|
||||
|
||||
/* ------------------------------
|
||||
Callouts (final tuned spacing)
|
||||
------------------------------ */
|
||||
|
||||
.callout-established,
|
||||
.callout-proposed,
|
||||
.callout-speculative,
|
||||
.callout-caution,
|
||||
.callout-warning,
|
||||
.callout-danger {
|
||||
border-radius: 6px;
|
||||
padding: 5px; /* internal padding */
|
||||
margin-top: 5px; /* external spacing tightened */
|
||||
margin-bottom: 5px;
|
||||
border-left: 6px solid;
|
||||
background: #fefefe;
|
||||
}
|
||||
|
||||
/* Title line */
|
||||
.callout-established p:first-child strong,
|
||||
.callout-proposed p:first-child strong,
|
||||
.callout-speculative p:first-child strong,
|
||||
.callout-caution p:first-child strong,
|
||||
.callout-warning p:first-child strong,
|
||||
.callout-danger p:first-child strong {
|
||||
display: block;
|
||||
font-family: "Libertinus Sans", sans-serif;
|
||||
font-weight: 600;
|
||||
font-size: 1.05rem;
|
||||
margin-bottom: 5px;
|
||||
}
|
||||
|
||||
/* Paragraphs inside callouts */
|
||||
.callout-established p,
|
||||
.callout-proposed p,
|
||||
.callout-speculative p,
|
||||
.callout-caution p,
|
||||
.callout-warning p,
|
||||
.callout-danger p {
|
||||
margin-top: 5px;
|
||||
margin-bottom: 5px;
|
||||
line-height: 1.45; /* slightly condensed text spacing */
|
||||
}
|
||||
|
||||
/* Remove top margin on first paragraph, bottom on last */
|
||||
.callout-established p:first-child,
|
||||
.callout-proposed p:first-child,
|
||||
.callout-speculative p:first-child,
|
||||
.callout-caution p:first-child,
|
||||
.callout-warning p:first-,
|
||||
.callout-danger p:first-child {
|
||||
margin-top: 0;
|
||||
}
|
||||
.callout-established p:last-child,
|
||||
.callout-proposed p:last-child,
|
||||
.callout-speculative p:last-child,
|
||||
.callout-caution p:last-child,
|
||||
.callout-warning p:last-child,
|
||||
.callout-danger p:last-child {
|
||||
margin-bottom: 0;
|
||||
}
|
||||
|
||||
/* Math inside callouts */
|
||||
.callout-established .math.display,
|
||||
.callout-proposed .math.display,
|
||||
.callout-speculative .math.display,
|
||||
.callout-caution .math.display,
|
||||
.callout-warning .math.display,
|
||||
.callout-danger .math.display {
|
||||
margin: 0.4em 0;
|
||||
}
|
||||
|
||||
/* Colors */
|
||||
.callout-established {
|
||||
background: #e8f7e8;
|
||||
border-left-color: #3a8d3a;
|
||||
}
|
||||
.callout-proposed {
|
||||
background: #e8f0ff;
|
||||
border-left-color: #3b6dd8;
|
||||
}
|
||||
.callout-speculative {
|
||||
background: #f7e8ff;
|
||||
border-left-color: #8b2be2;
|
||||
}
|
||||
|
||||
.callout-caution {
|
||||
background: #fff0e8;
|
||||
border-left-color: #f5a22f;
|
||||
}
|
||||
|
||||
.callout-warning {
|
||||
background: #fff0e8;
|
||||
border-left-color: #f5a22f;
|
||||
}
|
||||
|
||||
.callout-danger {
|
||||
background: #ffe8e8;
|
||||
border-left-color: #d83b3a;
|
||||
}
|
||||
|
||||
/* ------------------------------
|
||||
Images (in body content)
|
||||
------------------------------ */
|
||||
|
||||
img {
|
||||
max-width: 100%;
|
||||
display: block;
|
||||
margin: 1.2em auto;
|
||||
}
|
||||
|
||||
/* ------------------------------
|
||||
Blockquotes (normal ones)
|
||||
------------------------------ */
|
||||
|
||||
blockquote {
|
||||
border-left: 4px solid #ccc;
|
||||
padding-left: 1em;
|
||||
font-style: italic;
|
||||
color: #444;
|
||||
}
|
||||
|
||||
/* ------------------------------
|
||||
Horizontal rule
|
||||
------------------------------ */
|
||||
|
||||
hr {
|
||||
margin: 3rem 0;
|
||||
border: none;
|
||||
border-top: 1px solid #ddd;
|
||||
}
|
||||
|
||||
/* ------------------------------
|
||||
Code (rare in your book)
|
||||
------------------------------ */
|
||||
|
||||
code {
|
||||
background: #f3f3f3;
|
||||
padding: 0.1em 0.3em;
|
||||
border-radius: 4px;
|
||||
font-size: 0.95em;
|
||||
}
|
||||
|
||||
/* Force all header cells to left-align their text */
|
||||
table thead th {
|
||||
text-align: left !important;
|
||||
vertical-align: bottom; /* optional: aligns nicely with text baseline */
|
||||
padding: 4px 8px; /* optional: consistent spacing */
|
||||
}
|
||||
|
||||
/* Make data cells match if you want consistent left alignment */
|
||||
table tbody td {
|
||||
text-align: left;
|
||||
padding: 4px 8px;
|
||||
}
|
||||
|
||||
/* Optional: keep math inline nicely aligned */
|
||||
table td .math,
|
||||
table th .math {
|
||||
display: inline-block;
|
||||
vertical-align: baseline;
|
||||
}
|
||||
|
||||
/* Optional: make math display nicely aligned */
|
||||
table td .math.display,
|
||||
table th .math.display {
|
||||
display: block;
|
||||
margin: 0.4em 0;
|
||||
}
|
||||
Binary file not shown.
|
|
@ -162,7 +162,7 @@ id="toc-usage-building-the-book">Usage: Building the Book</a></li>
|
|||
</ul>
|
||||
</nav>
|
||||
<h1 class="unnumbered" id="preface">Preface</h1>
|
||||
<p>Preface t the Book…</p>
|
||||
<p>Preface to the Book…</p>
|
||||
<h1 id="introduction">Introduction</h1>
|
||||
<p>This is a basic book (or article) builder template based on a Pandoc
|
||||
build process in conjunction with a number of other tools to generate
|
||||
|
|
|
|||
|
|
@ -1,4 +1,4 @@
|
|||
This is XeTeX, Version 3.141592653-2.6-0.999994 (TeX Live 2022/Debian) (preloaded format=xelatex 2025.11.6) 5 FEB 2026 08:21
|
||||
This is XeTeX, Version 3.141592653-2.6-0.999994 (TeX Live 2022/Debian) (preloaded format=xelatex 2025.11.6) 5 FEB 2026 08:48
|
||||
entering extended mode
|
||||
restricted \write18 enabled.
|
||||
file:line:error style messages enabled.
|
||||
|
|
|
|||
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@ -1 +0,0 @@
|
|||
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 350 350"><path fill="#aaa" d="M0 0h350v350H0z"/><g transform="translate(175 175)"><circle r="3"/><g fill="none" stroke-linecap="square"><g id="a"><path stroke="#eee" d="m-8-106 4-12H9"/><path stroke="#777" d="m9-118-4 12H-8"/></g><use xlink:href="#a" transform="rotate(12)"/><use xlink:href="#a" transform="rotate(24)"/><use xlink:href="#a" transform="rotate(36)"/><use xlink:href="#a" transform="rotate(48)"/><use xlink:href="#a" transform="rotate(60)"/><use xlink:href="#a" transform="rotate(72)"/><use xlink:href="#a" transform="rotate(84)"/><use xlink:href="#a" transform="rotate(96)"/><use xlink:href="#a" transform="rotate(108)"/><use xlink:href="#a" transform="rotate(120)"/><use xlink:href="#a" transform="rotate(132)"/><use xlink:href="#a" transform="rotate(144)"/><use xlink:href="#a" transform="rotate(156)"/><use xlink:href="#a" transform="rotate(168)"/><use xlink:href="#a" transform="rotate(180)"/><use xlink:href="#a" transform="rotate(-12)"/><use xlink:href="#a" transform="rotate(-24)"/><use xlink:href="#a" transform="rotate(-36)"/><use xlink:href="#a" transform="rotate(-48)"/><use xlink:href="#a" transform="rotate(-60)"/><use xlink:href="#a" transform="rotate(-72)"/><use xlink:href="#a" transform="rotate(-84)"/><use xlink:href="#a" transform="rotate(-96)"/><use xlink:href="#a" transform="rotate(-108)"/><use xlink:href="#a" transform="rotate(-120)"/><use xlink:href="#a" transform="rotate(-132)"/><use xlink:href="#a" transform="rotate(-144)"/><use xlink:href="#a" transform="rotate(-156)"/><use xlink:href="#a" transform="rotate(-168)"/><g id="b"><path stroke="#eee" d="m10-135-4-12H-7"/><path stroke="#777" d="m-7-147 4 12h13"/></g><use xlink:href="#b" transform="rotate(10)"/><use xlink:href="#b" transform="rotate(20)"/><use xlink:href="#b" transform="rotate(30)"/><use xlink:href="#b" transform="rotate(40)"/><use xlink:href="#b" transform="rotate(50)"/><use xlink:href="#b" transform="rotate(60)"/><use xlink:href="#b" transform="rotate(70)"/><use xlink:href="#b" transform="rotate(80)"/><use xlink:href="#b" transform="rotate(90)"/><use xlink:href="#b" transform="rotate(100)"/><use xlink:href="#b" transform="rotate(110)"/><use xlink:href="#b" transform="rotate(120)"/><use xlink:href="#b" transform="rotate(130)"/><use xlink:href="#b" transform="rotate(140)"/><use xlink:href="#b" transform="rotate(150)"/><use xlink:href="#b" transform="rotate(160)"/><use xlink:href="#b" transform="rotate(170)"/><use xlink:href="#b" transform="rotate(180)"/><use xlink:href="#b" transform="rotate(-10)"/><use xlink:href="#b" transform="rotate(-20)"/><use xlink:href="#b" transform="rotate(-30)"/><use xlink:href="#b" transform="rotate(-40)"/><use xlink:href="#b" transform="rotate(-50)"/><use xlink:href="#b" transform="rotate(-60)"/><use xlink:href="#b" transform="rotate(-70)"/><use xlink:href="#b" transform="rotate(-80)"/><use xlink:href="#b" transform="rotate(-90)"/><use xlink:href="#b" transform="rotate(-100)"/><use xlink:href="#b" transform="rotate(-110)"/><use xlink:href="#b" transform="rotate(-120)"/><use xlink:href="#b" transform="rotate(-130)"/><use xlink:href="#b" transform="rotate(-140)"/><use xlink:href="#b" transform="rotate(-150)"/><use xlink:href="#b" transform="rotate(-160)"/><use xlink:href="#b" transform="rotate(-170)"/></g></g></svg>
|
||||
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!function(){"use strict";var t,a,e,n={667:function(t,a){a.q=void 0,a.q="3.2.2"},359:function(t,a,e){var n,o=this&&this.__values||function(t){var a="function"==typeof Symbol&&Symbol.iterator,e=a&&t[a],n=0;if(e)return e.call(t);if(t&&"number"==typeof t.length)return{next:function(){return t&&n>=t.length&&(t=void 0),{value:t&&t[n++],done:!t}}};throw new TypeError(a?"Object is not iterable.":"Symbol.iterator is not defined.")},i=this&&this.__importDefault||function(t){return t&&t.__esModule?t:{default:t}};Object.defineProperty(a,"__esModule",{value:!0}),a.ConfigMacrosConfiguration=void 0;var r=e(251),p=e(74),l=e(871),s=i(e(945)),u=e(924),c=i(e(432)),M=e(975),x="configmacros-map",f="configmacros-env-map";a.ConfigMacrosConfiguration=r.Configuration.create("configmacros",{init:function(t){new l.CommandMap(x,{},{}),new l.EnvironmentMap(f,s.default.environment,{},{}),t.append(r.Configuration.local({handler:{macro:[x],environment:[f]},priority:3}))},config:function(t,a){!function(t){var a,e,n=t.parseOptions.handlers.retrieve(x),i=t.parseOptions.options.macros;try{for(var r=o(Object.keys(i)),p=r.next();!p.done;p=r.next()){var l=p.value,s="string"==typeof i[l]?[i[l]]:i[l],M=Array.isArray(s[2])?new u.Macro(l,c.default.MacroWithTemplate,s.slice(0,2).concat(s[2])):new u.Macro(l,c.default.Macro,s);n.add(l,M)}}catch(t){a={error:t}}finally{try{p&&!p.done&&(e=r.return)&&e.call(r)}finally{if(a)throw a.error}}}(a),function(t){var a,e,n=t.parseOptions.handlers.retrieve(f),i=t.parseOptions.options.environments;try{for(var r=o(Object.keys(i)),p=r.next();!p.done;p=r.next()){var l=p.value;n.add(l,new u.Macro(l,c.default.BeginEnv,[!0].concat(i[l])))}}catch(t){a={error:t}}finally{try{p&&!p.done&&(e=r.return)&&e.call(r)}finally{if(a)throw a.error}}}(a)},items:(n={},n[M.BeginEnvItem.prototype.kind]=M.BeginEnvItem,n),options:{macros:(0,p.expandable)({}),environments:(0,p.expandable)({})}})},955:function(t,a){MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,a.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},74:function(t,a){Object.defineProperty(a,"__esModule",{value:!0}),a.isObject=MathJax._.util.Options.isObject,a.APPEND=MathJax._.util.Options.APPEND,a.REMOVE=MathJax._.util.Options.REMOVE,a.OPTIONS=MathJax._.util.Options.OPTIONS,a.Expandable=MathJax._.util.Options.Expandable,a.expandable=MathJax._.util.Options.expandable,a.makeArray=MathJax._.util.Options.makeArray,a.keys=MathJax._.util.Options.keys,a.copy=MathJax._.util.Options.copy,a.insert=MathJax._.util.Options.insert,a.defaultOptions=MathJax._.util.Options.defaultOptions,a.userOptions=MathJax._.util.Options.userOptions,a.selectOptions=MathJax._.util.Options.selectOptions,a.selectOptionsFromKeys=MathJax._.util.Options.selectOptionsFromKeys,a.separateOptions=MathJax._.util.Options.separateOptions,a.lookup=MathJax._.util.Options.lookup},251:function(t,a){Object.defineProperty(a,"__esModule",{value:!0}),a.Configuration=MathJax._.input.tex.Configuration.Configuration,a.ConfigurationHandler=MathJax._.input.tex.Configuration.ConfigurationHandler,a.ParserConfiguration=MathJax._.input.tex.Configuration.ParserConfiguration},945:function(t,a){Object.defineProperty(a,"__esModule",{value:!0}),a.default=MathJax._.input.tex.ParseMethods.default},924:function(t,a){Object.defineProperty(a,"__esModule",{value:!0}),a.Symbol=MathJax._.input.tex.Symbol.Symbol,a.Macro=MathJax._.input.tex.Symbol.Macro},871:function(t,a){Object.defineProperty(a,"__esModule",{value:!0}),a.parseResult=MathJax._.input.tex.SymbolMap.parseResult,a.AbstractSymbolMap=MathJax._.input.tex.SymbolMap.AbstractSymbolMap,a.RegExpMap=MathJax._.input.tex.SymbolMap.RegExpMap,a.AbstractParseMap=MathJax._.input.tex.SymbolMap.AbstractParseMap,a.CharacterMap=MathJax._.input.tex.SymbolMap.CharacterMap,a.DelimiterMap=MathJax._.input.tex.SymbolMap.DelimiterMap,a.MacroMap=MathJax._.input.tex.SymbolMap.MacroMap,a.CommandMap=MathJax._.input.tex.SymbolMap.CommandMap,a.EnvironmentMap=MathJax._.input.tex.SymbolMap.EnvironmentMap},975:function(t,a){Object.defineProperty(a,"__esModule",{value:!0}),a.BeginEnvItem=MathJax._.input.tex.newcommand.NewcommandItems.BeginEnvItem},432:function(t,a){Object.defineProperty(a,"__esModule",{value:!0}),a.default=MathJax._.input.tex.newcommand.NewcommandMethods.default}},o={};function i(t){var a=o[t];if(void 0!==a)return a.exports;var e=o[t]={exports:{}};return n[t].call(e.exports,e,e.exports,i),e.exports}t=i(955),a=i(667),e=i(359),MathJax.loader&&MathJax.loader.checkVersion("[tex]/configmacros",a.q,"tex-extension"),(0,t.r8)({_:{input:{tex:{configmacros:{ConfigMacrosConfiguration:e}}}}})}();
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!function(){"use strict";var a,t,n,e={667:function(a,t){t.q=void 0,t.q="3.2.2"},82:function(a,t,n){Object.defineProperty(t,"__esModule",{value:!0}),t.GensymbConfiguration=void 0;var e=n(251),o=n(108);new(n(871).CharacterMap)("gensymb-symbols",(function(a,t){var n=t.attributes||{};n.mathvariant=o.TexConstant.Variant.NORMAL,n.class="MathML-Unit";var e=a.create("token","mi",n,t.char);a.Push(e)}),{ohm:"\u2126",degree:"\xb0",celsius:"\u2103",perthousand:"\u2030",micro:"\xb5"}),t.GensymbConfiguration=e.Configuration.create("gensymb",{handler:{macro:["gensymb-symbols"]}})},955:function(a,t){MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,t.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},251:function(a,t){Object.defineProperty(t,"__esModule",{value:!0}),t.Configuration=MathJax._.input.tex.Configuration.Configuration,t.ConfigurationHandler=MathJax._.input.tex.Configuration.ConfigurationHandler,t.ParserConfiguration=MathJax._.input.tex.Configuration.ParserConfiguration},871:function(a,t){Object.defineProperty(t,"__esModule",{value:!0}),t.parseResult=MathJax._.input.tex.SymbolMap.parseResult,t.AbstractSymbolMap=MathJax._.input.tex.SymbolMap.AbstractSymbolMap,t.RegExpMap=MathJax._.input.tex.SymbolMap.RegExpMap,t.AbstractParseMap=MathJax._.input.tex.SymbolMap.AbstractParseMap,t.CharacterMap=MathJax._.input.tex.SymbolMap.CharacterMap,t.DelimiterMap=MathJax._.input.tex.SymbolMap.DelimiterMap,t.MacroMap=MathJax._.input.tex.SymbolMap.MacroMap,t.CommandMap=MathJax._.input.tex.SymbolMap.CommandMap,t.EnvironmentMap=MathJax._.input.tex.SymbolMap.EnvironmentMap},108:function(a,t){Object.defineProperty(t,"__esModule",{value:!0}),t.TexConstant=MathJax._.input.tex.TexConstants.TexConstant}},o={};function i(a){var t=o[a];if(void 0!==t)return t.exports;var n=o[a]={exports:{}};return e[a](n,n.exports,i),n.exports}a=i(955),t=i(667),n=i(82),MathJax.loader&&MathJax.loader.checkVersion("[tex]/gensymb",t.q,"tex-extension"),(0,a.r8)({_:{input:{tex:{gensymb:{GensymbConfiguration:n}}}}})}();
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!function(){"use strict";var t,e,a,n,r={667:function(t,e){e.q=void 0,e.q="3.2.2"},738:function(t,e,a){var n=this&&this.__importDefault||function(t){return t&&t.__esModule?t:{default:t}};Object.defineProperty(e,"__esModule",{value:!0}),e.HtmlConfiguration=void 0;var r=a(251),o=a(871),i=n(a(248));new o.CommandMap("html_macros",{href:"Href",class:"Class",style:"Style",cssId:"Id"},i.default),e.HtmlConfiguration=r.Configuration.create("html",{handler:{macro:["html_macros"]}})},248:function(t,e,a){var n=this&&this.__importDefault||function(t){return t&&t.__esModule?t:{default:t}};Object.defineProperty(e,"__esModule",{value:!0});var r=n(a(748)),o={Href:function(t,e){var a=t.GetArgument(e),n=i(t,e);r.default.setAttribute(n,"href",a),t.Push(n)},Class:function(t,e){var a=t.GetArgument(e),n=i(t,e),o=r.default.getAttribute(n,"class");o&&(a=o+" "+a),r.default.setAttribute(n,"class",a),t.Push(n)},Style:function(t,e){var a=t.GetArgument(e),n=i(t,e),o=r.default.getAttribute(n,"style");o&&(";"!==a.charAt(a.length-1)&&(a+=";"),a=o+" "+a),r.default.setAttribute(n,"style",a),t.Push(n)},Id:function(t,e){var a=t.GetArgument(e),n=i(t,e);r.default.setAttribute(n,"id",a),t.Push(n)}},i=function(t,e){var a=t.ParseArg(e);if(!r.default.isInferred(a))return a;var n=r.default.getChildren(a);if(1===n.length)return n[0];var o=t.create("node","mrow");return r.default.copyChildren(a,o),r.default.copyAttributes(a,o),o};e.default=o},955:function(t,e){MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,e.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},251:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.Configuration=MathJax._.input.tex.Configuration.Configuration,e.ConfigurationHandler=MathJax._.input.tex.Configuration.ConfigurationHandler,e.ParserConfiguration=MathJax._.input.tex.Configuration.ParserConfiguration},748:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.NodeUtil.default},871:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.parseResult=MathJax._.input.tex.SymbolMap.parseResult,e.AbstractSymbolMap=MathJax._.input.tex.SymbolMap.AbstractSymbolMap,e.RegExpMap=MathJax._.input.tex.SymbolMap.RegExpMap,e.AbstractParseMap=MathJax._.input.tex.SymbolMap.AbstractParseMap,e.CharacterMap=MathJax._.input.tex.SymbolMap.CharacterMap,e.DelimiterMap=MathJax._.input.tex.SymbolMap.DelimiterMap,e.MacroMap=MathJax._.input.tex.SymbolMap.MacroMap,e.CommandMap=MathJax._.input.tex.SymbolMap.CommandMap,e.EnvironmentMap=MathJax._.input.tex.SymbolMap.EnvironmentMap}},o={};function i(t){var e=o[t];if(void 0!==e)return e.exports;var a=o[t]={exports:{}};return r[t].call(a.exports,a,a.exports,i),a.exports}t=i(955),e=i(667),a=i(738),n=i(248),MathJax.loader&&MathJax.loader.checkVersion("[tex]/html",e.q,"tex-extension"),(0,t.r8)({_:{input:{tex:{html:{HtmlConfiguration:a,HtmlMethods:n}}}}})}();
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!function(){"use strict";var o,n,r,t={667:function(o,n){n.q=void 0,n.q="3.2.2"},634:function(o,n,r){Object.defineProperty(n,"__esModule",{value:!0}),n.NoErrorsConfiguration=void 0;var t=r(251);n.NoErrorsConfiguration=t.Configuration.create("noerrors",{nodes:{error:function(o,n,r,t){var e=o.create("token","mtext",{},t.replace(/\n/g," "));return o.create("node","merror",[e],{"data-mjx-error":n,title:n})}}})},955:function(o,n){MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,n.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},251:function(o,n){Object.defineProperty(n,"__esModule",{value:!0}),n.Configuration=MathJax._.input.tex.Configuration.Configuration,n.ConfigurationHandler=MathJax._.input.tex.Configuration.ConfigurationHandler,n.ParserConfiguration=MathJax._.input.tex.Configuration.ParserConfiguration}},e={};function a(o){var n=e[o];if(void 0!==n)return n.exports;var r=e[o]={exports:{}};return t[o](r,r.exports,a),r.exports}o=a(955),n=a(667),r=a(634),MathJax.loader&&MathJax.loader.checkVersion("[tex]/noerrors",n.q,"tex-extension"),(0,o.r8)({_:{input:{tex:{noerrors:{NoErrorsConfiguration:r}}}}})}();
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!function(){"use strict";var n,o,e,t={667:function(n,o){o.q=void 0,o.q="3.2.2"},999:function(n,o,e){var t=this&&this.__values||function(n){var o="function"==typeof Symbol&&Symbol.iterator,e=o&&n[o],t=0;if(e)return e.call(n);if(n&&"number"==typeof n.length)return{next:function(){return n&&t>=n.length&&(n=void 0),{value:n&&n[t++],done:!n}}};throw new TypeError(o?"Object is not iterable.":"Symbol.iterator is not defined.")};Object.defineProperty(o,"__esModule",{value:!0}),o.NoUndefinedConfiguration=void 0;var r=e(251);o.NoUndefinedConfiguration=r.Configuration.create("noundefined",{fallback:{macro:function(n,o){var e,r,i=n.create("text","\\"+o),a=n.options.noundefined||{},u={};try{for(var f=t(["color","background","size"]),l=f.next();!l.done;l=f.next()){var c=l.value;a[c]&&(u["math"+c]=a[c])}}catch(n){e={error:n}}finally{try{l&&!l.done&&(r=f.return)&&r.call(f)}finally{if(e)throw e.error}}n.Push(n.create("node","mtext",[],u,i))}},options:{noundefined:{color:"red",background:"",size:""}},priority:3})},955:function(n,o){MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,o.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},251:function(n,o){Object.defineProperty(o,"__esModule",{value:!0}),o.Configuration=MathJax._.input.tex.Configuration.Configuration,o.ConfigurationHandler=MathJax._.input.tex.Configuration.ConfigurationHandler,o.ParserConfiguration=MathJax._.input.tex.Configuration.ParserConfiguration}},r={};function i(n){var o=r[n];if(void 0!==o)return o.exports;var e=r[n]={exports:{}};return t[n].call(e.exports,e,e.exports,i),e.exports}n=i(955),o=i(667),e=i(999),MathJax.loader&&MathJax.loader.checkVersion("[tex]/noundefined",o.q,"tex-extension"),(0,n.r8)({_:{input:{tex:{noundefined:{NoUndefinedConfiguration:e}}}}})}();
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!function(){"use strict";var t,o,n,a={667:function(t,o){o.q=void 0,o.q="3.2.2"},941:function(t,o,n){var a,r=this&&this.__extends||(a=function(t,o){return a=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,o){t.__proto__=o}||function(t,o){for(var n in o)Object.prototype.hasOwnProperty.call(o,n)&&(t[n]=o[n])},a(t,o)},function(t,o){if("function"!=typeof o&&null!==o)throw new TypeError("Class extends value "+String(o)+" is not a constructor or null");function n(){this.constructor=t}a(t,o),t.prototype=null===o?Object.create(o):(n.prototype=o.prototype,new n)});Object.defineProperty(o,"__esModule",{value:!0}),o.TagFormatConfiguration=o.tagformatConfig=void 0;var e=n(251),i=n(680),s=0;function u(t,o){var n=o.parseOptions.options.tags;"base"!==n&&t.tags.hasOwnProperty(n)&&i.TagsFactory.add(n,t.tags[n]);var a=function(t){function n(){return null!==t&&t.apply(this,arguments)||this}return r(n,t),n.prototype.formatNumber=function(t){return o.parseOptions.options.tagformat.number(t)},n.prototype.formatTag=function(t){return o.parseOptions.options.tagformat.tag(t)},n.prototype.formatId=function(t){return o.parseOptions.options.tagformat.id(t)},n.prototype.formatUrl=function(t,n){return o.parseOptions.options.tagformat.url(t,n)},n}(i.TagsFactory.create(o.parseOptions.options.tags).constructor),e="configTags-"+ ++s;i.TagsFactory.add(e,a),o.parseOptions.options.tags=e}o.tagformatConfig=u,o.TagFormatConfiguration=e.Configuration.create("tagformat",{config:[u,10],options:{tagformat:{number:function(t){return t.toString()},tag:function(t){return"("+t+")"},id:function(t){return"mjx-eqn:"+t.replace(/\s/g,"_")},url:function(t,o){return o+"#"+encodeURIComponent(t)}}}})},955:function(t,o){MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,o.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},251:function(t,o){Object.defineProperty(o,"__esModule",{value:!0}),o.Configuration=MathJax._.input.tex.Configuration.Configuration,o.ConfigurationHandler=MathJax._.input.tex.Configuration.ConfigurationHandler,o.ParserConfiguration=MathJax._.input.tex.Configuration.ParserConfiguration},680:function(t,o){Object.defineProperty(o,"__esModule",{value:!0}),o.Label=MathJax._.input.tex.Tags.Label,o.TagInfo=MathJax._.input.tex.Tags.TagInfo,o.AbstractTags=MathJax._.input.tex.Tags.AbstractTags,o.NoTags=MathJax._.input.tex.Tags.NoTags,o.AllTags=MathJax._.input.tex.Tags.AllTags,o.TagsFactory=MathJax._.input.tex.Tags.TagsFactory}},r={};function e(t){var o=r[t];if(void 0!==o)return o.exports;var n=r[t]={exports:{}};return a[t].call(n.exports,n,n.exports,e),n.exports}t=e(955),o=e(667),n=e(941),MathJax.loader&&MathJax.loader.checkVersion("[tex]/tagformat",o.q,"tex-extension"),(0,t.r8)({_:{input:{tex:{tagformat:{TagFormatConfiguration:n}}}}})}();
|
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!function(){"use strict";var t,e,a,n={667:function(t,e){e.q=void 0,e.q="3.2.2"},376:function(t,e,a){var n=this&&this.__importDefault||function(t){return t&&t.__esModule?t:{default:t}};Object.defineProperty(e,"__esModule",{value:!0}),e.UnicodeConfiguration=e.UnicodeMethods=void 0;var o=a(251),i=n(a(402)),r=a(871),u=n(a(398)),l=n(a(748)),c=a(992);e.UnicodeMethods={};var p={};e.UnicodeMethods.Unicode=function(t,e){var a=t.GetBrackets(e),n=null,o=null;a&&(a.replace(/ /g,"").match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)?(n=a.replace(/ /g,"").split(/,/),o=t.GetBrackets(e)):o=a);var r=u.default.trimSpaces(t.GetArgument(e)).replace(/^0x/,"x");if(!r.match(/^(x[0-9A-Fa-f]+|[0-9]+)$/))throw new i.default("BadUnicode","Argument to \\unicode must be a number");var d=parseInt(r.match(/^x/)?"0"+r:r);p[d]?o||(o=p[d][2]):p[d]=[800,200,o,d],n&&(p[d][0]=Math.floor(1e3*parseFloat(n[0])),p[d][1]=Math.floor(1e3*parseFloat(n[1])));var M=t.stack.env.font,s={};o?(p[d][2]=s.fontfamily=o.replace(/'/g,"'"),M&&(M.match(/bold/)&&(s.fontweight="bold"),M.match(/italic|-mathit/)&&(s.fontstyle="italic"))):M&&(s.mathvariant=M);var x=t.create("token","mtext",s,(0,c.numeric)(r));l.default.setProperty(x,"unicode",!0),t.Push(x)},new r.CommandMap("unicode",{unicode:"Unicode"},e.UnicodeMethods),e.UnicodeConfiguration=o.Configuration.create("unicode",{handler:{macro:["unicode"]}})},955:function(t,e){MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,e.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},992:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.options=MathJax._.util.Entities.options,e.entities=MathJax._.util.Entities.entities,e.add=MathJax._.util.Entities.add,e.remove=MathJax._.util.Entities.remove,e.translate=MathJax._.util.Entities.translate,e.numeric=MathJax._.util.Entities.numeric},251:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.Configuration=MathJax._.input.tex.Configuration.Configuration,e.ConfigurationHandler=MathJax._.input.tex.Configuration.ConfigurationHandler,e.ParserConfiguration=MathJax._.input.tex.Configuration.ParserConfiguration},748:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.NodeUtil.default},398:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.ParseUtil.default},871:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.parseResult=MathJax._.input.tex.SymbolMap.parseResult,e.AbstractSymbolMap=MathJax._.input.tex.SymbolMap.AbstractSymbolMap,e.RegExpMap=MathJax._.input.tex.SymbolMap.RegExpMap,e.AbstractParseMap=MathJax._.input.tex.SymbolMap.AbstractParseMap,e.CharacterMap=MathJax._.input.tex.SymbolMap.CharacterMap,e.DelimiterMap=MathJax._.input.tex.SymbolMap.DelimiterMap,e.MacroMap=MathJax._.input.tex.SymbolMap.MacroMap,e.CommandMap=MathJax._.input.tex.SymbolMap.CommandMap,e.EnvironmentMap=MathJax._.input.tex.SymbolMap.EnvironmentMap},402:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.TexError.default}},o={};function i(t){var e=o[t];if(void 0!==e)return e.exports;var a=o[t]={exports:{}};return n[t].call(a.exports,a,a.exports,i),a.exports}t=i(955),e=i(667),a=i(376),MathJax.loader&&MathJax.loader.checkVersion("[tex]/unicode",e.q,"tex-extension"),(0,t.r8)({_:{input:{tex:{unicode:{UnicodeConfiguration:a}}}}})}();
|
||||
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|
@ -1 +0,0 @@
|
|||
!function(){"use strict";var a,t,e,p={667:function(a,t){t.q=void 0,t.q="3.2.2"},927:function(a,t,e){Object.defineProperty(t,"__esModule",{value:!0}),t.UpgreekConfiguration=void 0;var p=e(251),n=e(871),o=e(108);new n.CharacterMap("upgreek",(function(a,t){var e=t.attributes||{};e.mathvariant=o.TexConstant.Variant.NORMAL;var p=a.create("token","mi",e,t.char);a.Push(p)}),{upalpha:"\u03b1",upbeta:"\u03b2",upgamma:"\u03b3",updelta:"\u03b4",upepsilon:"\u03f5",upzeta:"\u03b6",upeta:"\u03b7",uptheta:"\u03b8",upiota:"\u03b9",upkappa:"\u03ba",uplambda:"\u03bb",upmu:"\u03bc",upnu:"\u03bd",upxi:"\u03be",upomicron:"\u03bf",uppi:"\u03c0",uprho:"\u03c1",upsigma:"\u03c3",uptau:"\u03c4",upupsilon:"\u03c5",upphi:"\u03d5",upchi:"\u03c7",uppsi:"\u03c8",upomega:"\u03c9",upvarepsilon:"\u03b5",upvartheta:"\u03d1",upvarpi:"\u03d6",upvarrho:"\u03f1",upvarsigma:"\u03c2",upvarphi:"\u03c6",Upgamma:"\u0393",Updelta:"\u0394",Uptheta:"\u0398",Uplambda:"\u039b",Upxi:"\u039e",Uppi:"\u03a0",Upsigma:"\u03a3",Upupsilon:"\u03a5",Upphi:"\u03a6",Uppsi:"\u03a8",Upomega:"\u03a9"}),t.UpgreekConfiguration=p.Configuration.create("upgreek",{handler:{macro:["upgreek"]}})},955:function(a,t){MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,t.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},251:function(a,t){Object.defineProperty(t,"__esModule",{value:!0}),t.Configuration=MathJax._.input.tex.Configuration.Configuration,t.ConfigurationHandler=MathJax._.input.tex.Configuration.ConfigurationHandler,t.ParserConfiguration=MathJax._.input.tex.Configuration.ParserConfiguration},871:function(a,t){Object.defineProperty(t,"__esModule",{value:!0}),t.parseResult=MathJax._.input.tex.SymbolMap.parseResult,t.AbstractSymbolMap=MathJax._.input.tex.SymbolMap.AbstractSymbolMap,t.RegExpMap=MathJax._.input.tex.SymbolMap.RegExpMap,t.AbstractParseMap=MathJax._.input.tex.SymbolMap.AbstractParseMap,t.CharacterMap=MathJax._.input.tex.SymbolMap.CharacterMap,t.DelimiterMap=MathJax._.input.tex.SymbolMap.DelimiterMap,t.MacroMap=MathJax._.input.tex.SymbolMap.MacroMap,t.CommandMap=MathJax._.input.tex.SymbolMap.CommandMap,t.EnvironmentMap=MathJax._.input.tex.SymbolMap.EnvironmentMap},108:function(a,t){Object.defineProperty(t,"__esModule",{value:!0}),t.TexConstant=MathJax._.input.tex.TexConstants.TexConstant}},n={};function o(a){var t=n[a];if(void 0!==t)return t.exports;var e=n[a]={exports:{}};return p[a](e,e.exports,o),e.exports}a=o(955),t=o(667),e=o(927),MathJax.loader&&MathJax.loader.checkVersion("[tex]/upgreek",t.q,"tex-extension"),(0,a.r8)({_:{input:{tex:{upgreek:{UpgreekConfiguration:e}}}}})}();
|
||||
|
|
@ -1 +0,0 @@
|
|||
!function(){"use strict";var t,e,a,n={667:function(t,e){e.q=void 0,e.q="3.2.2"},768:function(t,e,a){var n=this&&this.__importDefault||function(t){return t&&t.__esModule?t:{default:t}};Object.defineProperty(e,"__esModule",{value:!0}),e.VerbConfiguration=e.VerbMethods=void 0;var o=a(251),r=a(108),i=a(871),u=n(a(402));e.VerbMethods={},e.VerbMethods.Verb=function(t,e){var a=t.GetNext(),n=++t.i;if(""===a)throw new u.default("MissingArgFor","Missing argument for %1",e);for(;t.i<t.string.length&&t.string.charAt(t.i)!==a;)t.i++;if(t.i===t.string.length)throw new u.default("NoClosingDelim","Can't find closing delimiter for %1",t.currentCS);var o=t.string.slice(n,t.i).replace(/ /g,"\xa0");t.i++,t.Push(t.create("token","mtext",{mathvariant:r.TexConstant.Variant.MONOSPACE},o))},new i.CommandMap("verb",{verb:"Verb"},e.VerbMethods),e.VerbConfiguration=o.Configuration.create("verb",{handler:{macro:["verb"]}})},955:function(t,e){MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,e.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},251:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.Configuration=MathJax._.input.tex.Configuration.Configuration,e.ConfigurationHandler=MathJax._.input.tex.Configuration.ConfigurationHandler,e.ParserConfiguration=MathJax._.input.tex.Configuration.ParserConfiguration},871:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.parseResult=MathJax._.input.tex.SymbolMap.parseResult,e.AbstractSymbolMap=MathJax._.input.tex.SymbolMap.AbstractSymbolMap,e.RegExpMap=MathJax._.input.tex.SymbolMap.RegExpMap,e.AbstractParseMap=MathJax._.input.tex.SymbolMap.AbstractParseMap,e.CharacterMap=MathJax._.input.tex.SymbolMap.CharacterMap,e.DelimiterMap=MathJax._.input.tex.SymbolMap.DelimiterMap,e.MacroMap=MathJax._.input.tex.SymbolMap.MacroMap,e.CommandMap=MathJax._.input.tex.SymbolMap.CommandMap,e.EnvironmentMap=MathJax._.input.tex.SymbolMap.EnvironmentMap},108:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.TexConstant=MathJax._.input.tex.TexConstants.TexConstant},402:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.default=MathJax._.input.tex.TexError.default}},o={};function r(t){var e=o[t];if(void 0!==e)return e.exports;var a=o[t]={exports:{}};return n[t].call(a.exports,a,a.exports,r),a.exports}t=r(955),e=r(667),a=r(768),MathJax.loader&&MathJax.loader.checkVersion("[tex]/verb",e.q,"tex-extension"),(0,t.r8)({_:{input:{tex:{verb:{VerbConfiguration:a}}}}})}();
|
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Reference in New Issue