Translation of the document "Eine Algebraisierung des Syntheseproblems von Schaltkreisen" by Günter Hotz from German to English.
Note: This translation is work in progress!
The first formal definition of string diagrams appears to be a paper by Günter Hotz, published in "Elektronische Informationsverarbeitung und Kybernetik": Eine Algebraisierung des Syntheseproblems von Schaltkreisen, EIK, Bd. 1, (185-205), Bd, 2, (209-231) 1965 (part I, part II). This is a translation from German to English.
| German | English | Alternative English translations | Comment |
|---|---|---|---|
| Schaltkreis | circuit | ||
| Aufgabe | task | ||
| Begriff | notion | ||
| ebenes Netz | planar network | ||
| eben | planar | ||
| X-Kategorie | X-Kategorie | slip of the pen, but sounds awesome | |
| Zusammenschalten (von Automaten) | interconnection of automata | ||
| Baustein | building block | ||
| innere Punkte des Netzes | inner points of the network | ||
| Faktorkategorie | quotient category | ||
| Erzeugendensystem | family of generators | generator, seperator, family of generators | |
| Abbildung | mapping | ||
| Vertauschung | permutation | ||
| Relationensystem | relational system | ||
| Streckenkomplex | Streckenkomplex | I have no idea what that is. It seems to be part of combinatorial topology | |
| Strecke | line segment | ||
| Gebilde | structure | ||
| Kurvenzug | curve | spline | |
| Rahmen des Netzes | network frame | ||
| Anfangspunkte | starting points | ||
| innere Punkte | inner points | ||
| Endpunkte | end points | ||
| Selbstdurchdringung | self penetration | ||
| Zwischenlage | intermediate position | ||
| Lage | position | ||
| Dreieckdeformationen | triangular deformations | ||
| Deformation | deformation | ||
| Deformationskette | chain of deformation | ||
| ansetzen | join | ||
| aneinander setzen | set along each other | ||
| Zusammensetzung der Netze | combination of networks | ||
| direktes Product | direct product | ||
| Einheit | unit | ||
| sequentielle Darstellung eines Netzes | sequential presentation of a network | ||
| Gundseite | base | ||
| Abänderung | modification | ||
| Weg | path | ||
| Teilfolge | subsequence | ||
| Repräsentanten | representative | ||
| Inzidenzrelationen | incidence realtions | ||
| Platz | position | place |
Shield:
This work is licensed under a Creative Commons Attribution 4.0 International License.
