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Page 1: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably
Page 2: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016

Slurs, Braces, Radicals:Obstacle or Challenge?

Bogusław Jackowski, Marek Ryćko

Page 3: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016

Slurs, Braces, Radicals:Obstacle or Challenge?

Bogusław Jackowski, Marek Ryćko

Page 4: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016

Slurs, Braces, Radicals:Obstacle or Challenge?

Bogusław Jackowski, Marek Ryćko

Page 5: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016

Slurs, Braces, Radicals:Obstacle or Challenge?

Bogusław Jackowski, Marek Ryćko

Page 6: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016

Slurs, Braces, Radicals:Obstacle

Bogusław Jackowski, Marek Ryćko

Page 7: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

HOW DID IT START?

Page 8: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

HOW DID IT START?

Page 9: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

HOW DID IT START?

The oldest handprints left by humans are probably(at least?) 40,000 years old (Sulawesi, Indonesia)These handprints are not only the earliest form ofgraphics, they are also the erliest example of using

replicable technique – the hand was used as a “stencil”

Page 10: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

HOW DID IT START?

Page 11: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

SEVERAL THOUSANDS YEARS LATERpeople invented another technique of duplication

of graphic signs: stamps

Page 12: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

SEVERAL THOUSANDS YEARS LATERpeople invented another technique of duplication

of graphic signs: stamps

Cylinder seal – Near Easternthird millennium B.C.

Phaistos discsecond millennium B.C.

Page 13: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

SEVERAL THOUSANDS YEARS LATERpeople invented another technique of duplication

of graphic signs: stamps

Stamp-cylinder seal (“the Tyszkiewicz seal”)Near Eastern, second millennium B.C.

Page 14: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

SEVERAL THOUSANDS YEARS LATERpeople invented another technique of duplication

of graphic signs: stamps

Stamp-cylinder seal (“the Tyszkiewicz seal”)Near Eastern, second millennium B.C.

Page 15: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

SEVERAL THOUSANDS YEARS LATERpeople invented another technique of duplication

of graphic signs: stamps

King of Babylon, fosterer of Esagilaand Ezida,son of Nabopolassar, King of Babylon

Soon (?), in the first millennium B.C., the “rectangle paradigm” began to emerge

Page 16: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

A FEW MILLENNIA LATERmovable (metal) type was finally invented

Page 17: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

A FEW MILLENNIA LATERmovable (metal) type was finally invented

First, in Korea (probably with Chinese inspiration),the Anthology of Great Buddhist Priests’ Zen Teachings was printed in 1377

Page 18: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

A FEW MILLENNIA LATERmovable (metal) type was finally invented

Nearly a century later, in Europe (with Korean and/or Chinese inspiration?),the “Gutenberg” Bible was printed in 1456

Page 19: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

TYPESETTING MUSIC AND MATH – BEGINNING

Initially, typesetting music and math was not demanding

Page 20: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

TYPESETTING MUSIC AND MATH – BEGINNING

Initially, typesetting music and math was not demanding

Christoph Rudolff, Nimble and beautiful calculation via the artfulrules of algebra [which] are so commonly called “coss”, 1525

Page 21: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

TYPESETTING MUSIC AND MATH – BEGINNING

Initially, typesetting music and math was not demanding

The Songbook of Zeghere van Male, 1542

Page 22: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

TYPESETTING MUSIC AND MATH – BEGINNING

Initially, typesetting music and math was not demanding

The Songbook of Zeghere van Male, 1542

Page 23: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

TYPESETTING MUSIC AND MATH – BEGINNING

Initially, typesetting music and math was not demanding

Jan Kochanowski, Mikołaj Gomółka, Melodies for the Polish Psalter,typeset and printed in Łazarz Printing House in Cracow in 1580

Page 24: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

ARTIS’S AND SCIENTIST’S INVENTION IS UNTAMEABLE

Unfortunately or, if one prefers, fortunately, scientist andartists developed and thus complicated notation

Page 25: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

ARTIS’S AND SCIENTIST’S INVENTION IS UNTAMEABLE

Unfortunately or, if one prefers, fortunately, scientist andartists developed and thus complicated notation

Long horizontal brace in connection with the radical sign to express theaggregation of terms was introduced by Thomas Harriot

(Artis analyticæ praxis, 1631) – topRene Descartes, maybe inspired by Harriot, attached the vinculum

to the radical sign (La Geometrie, 1637) – bottom

Page 26: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

ARTIS’S AND SCIENTIST’S INVENTION IS UNTAMEABLE

Unfortunately or, if one prefers, fortunately, scientist andartists developed and thus complicated notation

Manuscript of keyboard music (“toccata”), XVII century,probably owned by Girolamo Frescobaldi

Page 27: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

ARTIS’S AND SCIENTIST’S INVENTION IS UNTAMEABLE

Unfortunately or, if one prefers, fortunately, scientist andartists developed and thus complicated notation

Opera score (Alessandro Melani, L’Empio Punito), XVII century

Page 28: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

“RECTANGLE” PARADIGM: TYPESETTER’S MOUSTACHE

Page 29: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

Page 30: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

“RECTANGLE” PARADIGM: TYPESETTER’S CURLY BRACE

Page 31: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

Page 32: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

“RECTANGLE” PARADIGM: TYPESETTER’S RADICAL

Page 33: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

Page 34: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

INTERLUDE: PASTJohannes Gutenberg (et al., as always) set the milestonein the development of reproduction technology. The

movable metal type approach, facilitating multiplicationof documents, ruled for half a millennium.

Some portions of documents, mainly embelishments(ornaments, initials), but also some elements of musicalnotation and of the mathematical notation, were either

drawn by hand or included in some other way.

Page 35: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

INTERLUDE: PRESENTThe advent of computer technology changed documentproduction; it inherited, however, many features from itspredecessor, the Gutenberg paradigm. In particular, thesame characters which caused typesetting difficulties inthe old times – including our favorite slurs, braces, andradicals – are still causing trouble to users employing

programs typesetting texts.

Page 36: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

INTERLUDE: PRESENT

“The DeWitt Clinton” locomotive and railcars that initiated the New YorkCentral System, 1831; note the similarity of the railcars and stagecoaches

Page 37: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

INTERLUDE: PRESENTThe advent of computer technology changed documentproduction; it inherited, however, many features from itspredecessor, the Gutenberg paradigm. In particular, thesame characters which caused typesetting difficulties inthe old times – including our favorite slurs, braces, andradicals – are still causing trouble to users employing

programs typesetting texts.We will refer to the currently existing paradigm of texttypesetting as the Gutenberg-Knuth paradigm, to stressthe contribution of Donald E.Knuth, who in the years1977–1982 created a model of typesetting rooted inGutenberg’s ideas and implemented it for computerscreating the TEX typesetting system. Of course, Knuth’s

approach is actually an instance of a rectangle paradigm:TEX “sees” all characters as merely rectangles.

Page 38: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

NOT ONLY TEX. . .

Delimiters typeset with MS Word 2010 Equation Editor(the font is TEX Gyre Pagella OTF)

All trademarks belong to their respective owners and in this presentation they are used for informational purposes only

Page 39: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

NOT ONLY TEX. . .

Delimiters typeset with MS Word 2010 Equation Editor(the font is TEX Gyre Pagella OTF)

All trademarks belong to their respective owners and in this presentation they are used for informational purposes only

Page 40: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

NOT ONLY TEX. . .

Radicals typeset with MS Word 2010 Equation Editor(the font is TEX Gyre Pagella OTF)

All trademarks belong to their respective owners and in this presentation they are used for informational purposes only

Page 41: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

NOT ONLY TEX. . .

Radicals typeset with MS Word 2010 Equation Editor(the font is TEX Gyre Pagella OTF)

All trademarks belong to their respective owners and in this presentation they are used for informational purposes only

Page 42: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

NOT ONLY TEX. . .

Radicals typeset with MS Word 2010 Equation Editor(the font is TEX Gyre Pagella OTF)

All trademarks belong to their respective owners and in this presentation they are used for informational purposes only

Page 43: Slurs, Braces, Radicals. · Bachotek,2V2016 B.Jackowski,M.Ryćko Slurs,Braces,Radicals:Obstacle AFEWMILLENNIALATER movable (metal) type was finally invented First, in Korea (probably

Bachotek, 2V2016 B. Jackowski, M. Ryćko Slurs, Braces, Radicals: Obstacle

That’s all from my side, it’s Marek’s turn now. . .