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UpMath
A Mathematical Knowledge Base using Coherent
Notation Matthias Graefenhan Prof. Harald
Upmeier, University of Marburg
UpTeX translation
UpMath Notation and Filing System
\jXwwWw30\jXww\jXWw30 \jX\mutvvvyyv
yy\mutVv00Yy\jX\mutvvVvvyYy
yvVvyyYy\jxvvVv-vyYy(yyYy)8(-1)yvVv\jxyy
Yy8(-1) \jx(_vv-vyyy8(-1)yv)Vv(\jxyy\jxYy
)8(-1)\jxvv-vyyy9 (-1)yv\jxyy8(-1)\jxVv\jx
Yy8(-1) \jX\mutvvvyyvyy\jX\mutVv0
0Yy \jXww3()Ww\jXww3()\jXWw \jX\mut
Ivy0I\mutVvVyYvYy\jX\mutVvvyYv
VyvyYyYvYy\jxVvvyYv-(VyvyYy)Yy8(-1)Yv
\jxYy8(-1) \jxVv_vyYv-VyYy8(-1)Yv-_vyYv
\jxYy8(-1)\jxVv-VyYY8(-1)Yv\jxYy8(-1)
\jX\mut Ivy0I2(1)\jX\mutVvVyYvYy
UpTeX
Precompiler
\jX\UpMathChar480 \upset\UpMathChar648
iniccc\upset\vphantom\UpM
\jX\mut\UpMathChar348 \UpMathChar352
\UpMathChar355 \UpMathChar3
\jx\UpMathChar348 \underline\UpMathChar352
\UpMathChar523 -\UpMathCh
\jX\UpMathChar480 \upset\UpMathChar648
iniccc\upset\vphantom\UpM
\jX\mut\UpMathChar348 \UpMathChar352
\UpMathChar355 \UpMathChar3 ...
\jx\JJ\UpMathChar348 -\UpMathChar352
\upset-1\UpMathChar380 inic ... ...
\jX\upset\UpMathChar480 iniccc\upset\v
phantom\UpMathChar480 ... ... \jX\mut
I\UpMathChar352 0I\mut\UpMathChar516
\UpMathChar520 \UpMa ... ...
\jx\UpMathChar516 \underline\UpMathChar352
\UpMathChar523 -\UpMathCh ...
LaTeX
Compiler

• input sources
• UpTeX
• OCR
• etc.

atomic element (XML)
proofs containing key words reference formulas
manually defined structures
automatically generated structures
links to definitions list of examples

links to theorems list of corollaries
treelike library

Algebra lectures Calculus lectures
Relations to Searching
The UpMath Team Prof. Dr. Harald
Upmeier Matthias Graefenhan Dipl.-Math. Thomas
Eckert Dipl.-Math. Thomas Graeff Dr. Alexander
Alldridge Computer science advisor Prof. Dr.
Rita Loogen Project Page www.mathematik.uni-marb
urg.de/upmeier/upmath.html

• output formats
• html / linked PDF (classical / UpMath
  notation)
• MathML (classical notation)
• etc.