ISO/I JT/S/WG N38 00-0-5 Universal Multiple Octet oded haracter Set International Organization for Standardization Organisation internationale de normalisation Международная организация по стандартизации oc Type: Working Group ocument Title: dditional Mathematical Symbols Source: arbara eeton (MS), smus reytag (Unicode), and Patrick Ion (W3 Math WG) Status: xpert contribution ction: or consideration by JT/S/WG and UT ate: 00-0-5 The set of mathematical symbols proposed for addition to ISO/I 066- and Unicode is based on an extensive search of existing mathematical literature. y its very nature, such a search can never be exhaustive, least of all for a notation that is a living and productive as mathematical notation. In order to have a workable proposal, the set was arbitrarily frozen at around the time it was first submitted to WG. ll additional candidate characters for encoding that were found during the lengthy review phase for the original proposal were tracked separately, in order to confine the more tentative characters to a small manageable set. In the meantime, many, if not most of the characters in this secondary, but much smaller set have been confirmed. n ad-hoc group consisting of the authors of this document, with input from Michael verson, Ken Whistler and Murray Sargent have narrowed the candidate characters down to the list presented here and provided suggested names and annotations. ormat of this document While the format of this document follows that of a Unicode character names list, no code locations are suggested and many of the annotations are provided mainly for the readers and reviewers of this document; they are not intended to become part of the standard. few already existing characters are shown for purposes. These are clearly noted in the list of names; there is no intention to request duplicate encodings for them. In some cases compatibility mappings with novel tags can be found in the names list. These are indications of glyphic or semantic relations between characters, not as formal decompositions. In the final standard they would be replaced by simple cross-references.
dditional Math () Printed 5-Jan-00 5 50 5 53 5 55 56 57 58 59 5 5 5 5 5 5! # % & ' ( *, -. / 0 3 5 6 7 8 9 : ; < = > G H I J P Q R S T U V W X Y Z [ ^ _ ` b c d e f g h i j k l m n o p q r s t v x y z { < = >? @ G H I J K 5 53 55 56 57 58 5 5 5 5 5 530 53 53 533 53 535 536 537 538 539 53 53 53 53 53 5 5 53 5 55 56 57 58 59 5 550 55 55 553 55 555 556 557 558 559 55 55 55 55 560 56 563 56 565 566 567 568 569 56 56 56 56 56 56 570 57 57 573 57 576 578 579 57 57 580 58 58 583 58 585 586 587 588 589 58 58 58 58 58 58 590 59 59 593 59 595 596 597 50 5 5 53 5 55 56 57 58 59 0 3 5 6 7 8 9
5 55 5! ROWN PROUT, marginal 5 " <reserved> 53 # LT N RIGHT OUL TURNSTIL 5 " <reserved> 55 % LT MULTIMP = continuous ourier transform 8 multimap 56 & LONG RIGHT TK = discrete ourier transform 57 ' LONG LT TK 58 ( UP TK WITH IRL OV = radial component 59 " <reserved> 5 * ZONL SPHRIL UNTION 5 " <reserved> 5, GLIH STRK = tautological equivalent 5 - OMINING LTWR RROW 5. OVRLY WHIT SQUR WITH LTWRS TIK = was always 5 / WHIT SQUR WITH RIGHTWRS TIK = will always be 530 0 WHIT ONV-SI IMON WITH LTWRS TIK = was never 53 WHIT ONV-SI IMON WITH RIGHTWRS TIK = will never be 53 WINSHI = skew 533 3 UPWRS QURUPL RROW 53 OWNWRS QURUPL RROW Go markers 535 5 WHIT IRL WITH OT RIGHT 536 6 WHIT IRL WITH TWO OTS 537 7 LK IRL WITH WHIT OT RIGHT 538 8 LK IRL WITH WHIT TWO OTS 539 9 GRY IRL WITH GRY OT RIGHT 53 : GRY IRL WITH GRY TWO OTS 53 ; GRY ILL IRL WITH WHIT OT RIGHT 53 < GRY ILL IRL WITH WHIT TWO OTS Other Symbols 53 = TINY 53 > MINY 53 " <reserved> 50 " <reserved> 5 LRG UP TK <large> 5 up tack 5 LRG OWN TK <large> down tack 53 LT LK TORTOIS SHLL <black> 30 left tortoise shell bracket 5 RIGHT LK TORTOIS SHLL <black> 305 right tortoise shell bracket 55 LT WIGGLY N 56 RIGHT WIGGLY N 57 G OL MINUS SIGN minus sign 58 H LT OUTR JOIN 59 I RIGHT OUTR JOIN 5 J ULL OUTR JOIN 5 " <reserved> 5 " <reserved> 5 " <reserved> 5 " <reserved> 5 " <reserved> 550 P OMMRIL MINUS SIGN 55 Q OMMRIL MINUS SIGN glyph variant of 550 P - candidate for VS? 55 R RIGHT RROW WITH SMLL IRL 553 S RIGHT RROW WITH IRL PIUS 55 T IRRLXIV PRTIL ORR 555 U X-555 - no suggested name 556 V PRTIL ORR 557 W IJKSTR HOI 558 X N-RY IJKSTR HOI 559 Y N WITH OT 55 Z LRG TRIPL VRTIL R OPRTOR often n-ary triple vertical bar binary relation 980 triple vertical bar delimiter 55 [ TRIPL SOLIUS INRY RLTION = triple slash binary relation triple vertical bar binary relation 55 " <reserved> 55 " <reserved> dditional Math () Printed 5-Jan-00 3
55 590 55 ^ LOZNG IVI Y HORIZONTL RUL 55 _ LT N RIGHT TK 560 ` SQUR OT 97 squared small circle 56 " <reserved> 56 b LT POINTING URV NGL 39 left pointing angle bracket 563 c RIGHT POINTING URV NGL 3 right pointing angle bracket 56 d LMNT O OPNING UPWRS 9 element of opening downwards 565 e LOWR RIGHT ORNR WITH OT = pullback 566 f UPPR LT ORNR WITH OT = pushout 567 g LT OUL WIGGLY N 568 h RIGHT OUL WIGGLY N 569 i INVISIL OMM = invisible separator iamonds iamonds are needed in several sizes, the sizes here are from an existing and widely available set of fonts 56 j LK TINY IMON 56 k LK VRY SMLL IMON 56 l LK SMLL IMON 56 m LK MIUM IMON 56 n LK IMON not a candidate - shown for only 56 black diamond 56 o LK LRG IMON On-line 570 p MULTIPLITION ON-LIN = often omitted 57 q on-line dot 57 q ON-LIN OT = paired, used as fence 570 p multiplication on-line Relations 57 r STK VRY MUH LSS-THN <stacked> 8 very much less-than 573 s STK VRY MUH GRTR- THN <stacked> 9 very much greaterthan 57 t VRINT LSS-THN OVR QUL TO <variant> 66 less-than over equal to 575 " <reserved> 576 v VRINT GRTR-THN OVR QUL TO <variant> 67 greater-than over equal to 577 " <reserved> 578 x LOKWIS 579 y NTI LOKWIS 57 z QULS WITH STRISK 57 { OMINING WI RIG OV this character extends the full width of the base character 036 combining bridge above 57 " <reserved> 57 " <reserved> 57 " <reserved> 57 " <reserved> 580 OUL SLSH OPRTOR = tangential to ice 58 I - 58 < I - 583 = I -3 58 > I - 585? I -5 586 @ I -6 Lozenges Lozenges are needed in several sizes, the sizes here are from an existing and widely available set of fonts 587 LK TINY LOZNG 588 LK VRY SMLL LOZNG 589 LK SMLL LOZNG 58 LK MIUM LOZNG 58 ILL LOZNG 9 filled lozenge 58 LK LRG LOZNG 58 IMON OPRTOR misnomer: this is a lozenge shape, not a diamond diamond operator 58 LOZNG 5 lozenge 58 LRG LOZNG 590 LRG LOZNG ONTINING SMLL ILL LOZNG Printed 5-Jan-00 dditional Math ()
59 59 White iamonds White diamonds are needed in at least two sizes, the sizes here are derived from the black diamonds. Widely available fonts have the large diamond only, Unicode 3.0 has the 'normal' size, and mathematical publications need at least one size smaller than the current size 59 WHIT TINY IMON 59 WHIT VRY SMLL IMON 593 G WHIT SMLL IMON 59 H WHIT MIUM IMON 595 I WHIT IMON 57 white diamond 596 J WHIT LRG IMON 597 K WHIT LRG IMON ONTINING LK SMLL IMON widely available fonts contain this symbol with two or three variations of the size of the inner diamond Long rrows These have been proposed as variations or characters 50 LONG LTWRS RROW 5 LONG RIGHTWRS RROW 5 LONG LT RIGHT RROW 53 LONG LTWRS OUL RROW 5 LONG RIGHTWRS OUL RROW 55 LONG LT RIGHT OUL RROW 56 LONG LTWRS RROW ROM R = maps from 57 LONG RIGHTWRS RROW ROM R = maps to 58 LONG LTWRS OUL RROW ROM R 59 LONG RIGHTWRS OUL RROW ROM R dditional Math () Printed 5-Jan-00 5