[100094] in tlhIngan-Hol
[Tlhingan-hol] mathematics terminology
daemon@ATHENA.MIT.EDU (Brad Wilson)
Wed Jan 7 10:47:56 2015
To: tlhIngan-Hol@kli.org
From: Brad Wilson <bmacliam@aol.com>
Date: Wed, 7 Jan 2015 10:47:36 -0500
Errors-To: tlhingan-hol-bounces@kli.org
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=0AThere=20have=20been=20discussions=20over=20the=20years=20regarding=20various=20=
mathematical=20terms.=20In=20light=20of=20the=20fact=20that=20I=20was=20recently=
=20"fooled"=20by=20some=20terms=20which=20I=20thought=20were=20canon,=20but=20we=
re=20in=20fact=20"proposed",=20I=20thought=20a=20re-cap=20of=20what=20we=20know=20=
might=20be=20in=20order.=0AI=20think=20most=20would=20understand=20and=20not=20b=
e=20be=20opposed=20to=20{mI'QeD}=20for=20mathematics,=20arithmetic,=20or=20any=20=
number-based=20science.=0A=0AWe=20already=20have=20canon=20terms=20for=20simple=20=
arithmetic=20functions:=0Aaddition=20{cha'=20boq=20wa';=20chen=20wej}=0Asubtract=
ion=20{cha'=20boqHa'=20wa';=20chen=20wa'}=0Amultiplcation=20{loSlogh=20boq'egh=20=
cha';=20chen=20chorgh}=0Adivision=20{cha'logh=20boqHa''egh=20chorgh;=20chen=20lo=
S}=0AThe=20commutative=20property=20of=20addition=20and=20multiplication=20state=
s=20the=20"order"=20of=20the=20numbers=20doesn't=20change=20the=20result.=0A{wa'=
=20boq=20cha';=20chen=20wej.=20cha'=20boq=20wa';=20chen=20wej=20je.}=0A{cha'logh=
=20boq'egh=20wej;=20chen=20jav.=20wej'logh=20boq'egh=20cha';=20chen=20jav=20je.}=
=0AI=20state=20this=20{mI'QeD=20vIt}=20"truth"=20as=20{boqchuqDI'=20mI'mey,=20le=
nglaH=20bIH}.=0A=0A=0AVarious=20terms=20for=20geometrical=20shapes=20have=20been=
=20well-documented=20and=20don't=20need=20to=20be=20re-stated.=0AGeometry=20coul=
d=20be=20rendered=20{mey'QeD}=20or=20{yerghQeD}=20although=20these=20seems=20rat=
her=20restricted.=0A=0ASome=20terms=20which=20have=20been=20proposed=20recently=20=
by=20Doug=20Henning=20in=20the=20fb=20group:=0A{nagh=20mI'}=20for=20integer,=20I=
=20suppose=20because=20integers=20cannot=20"broken"=20into=20smaller=20numbers.=20=
I=20prefer=20something=20like=20{toghmeH=20mI'}=20or=20{mIw=20mI'}=20for=20integ=
er.=0A{lam=20mI'}=20for=20rational=20number,=20because=20they=20can=20be=20split=
=20(ie.=20factored?)=20practically=20indefinitely.=20This=20certainly=20isn't=20=
descriptive=20of=20the=20English=20term;=20a=20rational=20number=20is=20one=20th=
at=20can=20be=20written=20as=20a=20fraction=20of=20integers.=20Since=20Maltz=20h=
asn't=20ventured=20into=20integers=20yet,=20this=20could=20prove=20a=20tricky=20=
area=20to=20navigate.=0A{vaHbo'=20mI'}=20for=20real=20number,=20because=20of=20t=
heir=20continuity,=20or=20fluidity,=20through=20the=20entire=20number=20spectrum=
.=20If=20and=20when=20Maltz=20delves=20into=20real=20&=20imaginary=20numbers,=20=
I=20would=20think=20something=20like=20{mI'=20teH}=20and=20{mI'=20ngeb}=20might=20=
be=20better=20suited.=0A{mI'=20Sub}=20is=20a=20term=20I=20propose=20for=20prime=20=
number,=20one=20which=20cannot=20be=20factored=20into=20smaller=20numbers.=0A{gh=
om}=20works=20quite=20well=20for=20sets=20of=20numbers=0A{'ay'}=20could=20work=20=
for=20numerical=20factors.=20{jav=20'ay'mey=20bIH=20wa'=20cha'=20je},=20but=20th=
is=20could=20be=20read=20as=20"6=20parts"=20rather=20than=20"the=20parts=20of=20=
6".=0A=0A=0ADaH=20jIjattaH=20vaj=20jImev.=0AgheyIl=0A=0A=0A
----------MB_8D1F8A864F89C54_1014_28C347_webmail-vm157.sysops.aol.com
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Content-Type: text/html; charset="us-ascii"
<font=20color=3D'black'=20size=3D'2'=20face=3D'arial'>=0A<div=20style=3D"font-fa=
mily:arial,helvetica;font-size:10pt;color:black"><font=20color=3D"black"=20size=3D=
"2"=20face=3D"arial">=0A=0A<div=20style=3D"color:=20black;=20font-size:=2010pt;"=
><span=20style=3D"color:=20rgb(20,=2024,=2035);=20font-size:=2012px;=20line-heig=
ht:=2016px;=20white-space:=20pre-wrap;=20background-color:=20rgb(255,=20255,=202=
55);"><font=20face=3D"Arial,=20Helvetica,=20sans-serif">There=20have=20been=20di=
scussions=20over=20the=20years=20regarding=20various=20mathematical=20terms.=20I=
n=20light=20of=20the=20fact=20that=20I=20was=20recently=20"fooled"=20by=20some=20=
terms=20which=20I=20thought=20were=20canon,=20but=20were=20in=20fact=20"proposed=
",=20I=20thought=20a=20re-cap=20of=20what=20we=20know=20might=20be=20in=20order.=
</font></span></div>=0A=0A=0A=0A<div=20style=3D"color:=20black;=20font-size:=201=
0pt;"><span=20style=3D"color:=20rgb(20,=2024,=2035);=20font-size:=2012px;=20line=
-height:=2016px;=20white-space:=20pre-wrap;=20background-color:=20rgb(255,=20255=
,=20255);"><font=20face=3D"Arial,=20Helvetica,=20sans-serif">I=20think=20most=20=
would=20understand=20and=20not=20be=20be=20opposed=20to=20{mI'QeD}=20for=20mathe=
matics,=20arithmetic,=20or=20any=20number-based=20science.</font></span></div>=0A=
=0A=0A=0A<div=20style=3D"color:=20black;=20font-size:=2010pt;"><span=20style=3D"=
color:=20rgb(20,=2024,=2035);=20font-size:=2012px;=20line-height:=2016px;=20whit=
e-space:=20pre-wrap;=20background-color:=20rgb(255,=20255,=20255);"><font=20face=
=3D"Arial,=20Helvetica,=20sans-serif">=0A</font></span></div>=0A=0A=0A=0A<div=20=
style=3D"color:=20black;=20font-size:=2010pt;"><span=20style=3D"color:=20rgb(20,=
=2024,=2035);=20font-size:=2012px;=20line-height:=2016px;=20white-space:=20pre-w=
rap;=20background-color:=20rgb(255,=20255,=20255);"><font=20face=3D"Arial,=20Hel=
vetica,=20sans-serif">We=20already=20have=20canon=20terms=20for=20simple=20arith=
metic=20functions:</font></span></div>=0A=0A=0A=0A<div=20style=3D"color:=20black=
;=20font-size:=2010pt;"><span=20style=3D"color:=20rgb(20,=2024,=2035);=20font-si=
ze:=2012px;=20line-height:=2016px;=20white-space:=20pre-wrap;=20background-color=
:=20rgb(255,=20255,=20255);"><font=20face=3D"Arial,=20Helvetica,=20sans-serif">a=
ddition=20{cha'=20boq=20wa';=20chen=20wej}</font></span></div>=0A=0A=0A=0A<div=20=
style=3D"color:=20black;=20font-size:=2010pt;"><span=20style=3D"color:=20rgb(20,=
=2024,=2035);=20font-size:=2012px;=20line-height:=2016px;=20white-space:=20pre-w=
rap;=20background-color:=20rgb(255,=20255,=20255);"><font=20face=3D"Arial,=20Hel=
vetica,=20sans-serif">subtraction=20{cha'=20boqHa'=20wa';=20chen=20wa'}</font></=
span></div>=0A=0A=0A=0A<div=20style=3D"color:=20black;=20font-size:=2010pt;"><sp=
an=20style=3D"color:=20rgb(20,=2024,=2035);=20font-size:=2012px;=20line-height:=20=
16px;=20white-space:=20pre-wrap;=20background-color:=20rgb(255,=20255,=20255);">=
<font=20face=3D"Arial,=20Helvetica,=20sans-serif">multiplcation=20{loSlogh=20boq=
'egh=20cha';=20chen=20chorgh}</font></span></div>=0A=0A=0A=0A<div=20style=3D"col=
or:=20black;=20font-size:=2010pt;"><span=20style=3D"color:=20rgb(20,=2024,=2035)=
;=20font-size:=2012px;=20line-height:=2016px;=20white-space:=20pre-wrap;=20backg=
round-color:=20rgb(255,=20255,=20255);"><font=20face=3D"Arial,=20Helvetica,=20sa=
ns-serif">division=20</font></span><span=20style=3D"color:=20rgb(20,=2024,=2035)=
;=20font-family:=20Arial,=20Helvetica,=20sans-serif;=20font-size:=2012px;=20line=
-height:=2016px;=20white-space:=20pre-wrap;=20background-color:=20rgb(255,=20255=
,=20255);">{cha'logh=20boqHa''egh=20chorgh;=20chen=20loS}</span></div>=0A=0A=0A=0A=
<div=20style=3D"color:=20black;"><span=20style=3D"font-size:=2012px;=20color:=20=
rgb(20,=2024,=2035);=20font-family:=20Arial,=20Helvetica,=20sans-serif;=20line-h=
eight:=2016px;=20white-space:=20pre-wrap;=20background-color:=20rgb(255,=20255,=20=
255);">The=20commutative=20property of</span><span=20style=3D"font-size:=20=
12px;=20color:=20rgb(20,=2024,=2035);=20font-family:=20Arial,=20Helvetica,=20san=
s-serif;=20line-height:=2016px;=20white-space:=20pre-wrap;=20background-color:=20=
rgb(255,=20255,=20255);">=20addition=20and=20multiplication=20</span><span=20sty=
le=3D"color:=20rgb(20,=2024,=2035);=20font-family:=20Arial,=20Helvetica,=20sans-=
serif;=20line-height:=2016px;=20white-space:=20pre-wrap;=20background-color:=20r=
gb(255,=20255,=20255);"><font=20size=3D"2">states </font></span><span=20sty=
le=3D"font-size:=2012px;=20color:=20rgb(20,=2024,=2035);=20font-family:=20Arial,=
=20Helvetica,=20sans-serif;=20line-height:=2016px;=20white-space:=20pre-wrap;=20=
background-color:=20rgb(255,=20255,=20255);">the=20"order"=20of=20the=20numbers=20=
doesn't=20change=20the=20result.</span></div>=0A=0A=0A=0A<div=20style=3D"color:=20=
black;"><font=20size=3D"2"><span=20style=3D"color:=20rgb(20,=2024,=2035);=20font=
-family:=20Arial,=20Helvetica,=20sans-serif;=20line-height:=2016px;=20white-spac=
e:=20pre-wrap;=20background-color:=20rgb(255,=20255,=20255);">{</span><span=20st=
yle=3D"color:=20rgb(20,=2024,=2035);=20font-family:=20Helvetica,=20Arial,=20'luc=
ida=20grande',=20tahoma,=20verdana,=20arial,=20sans-serif;=20line-height:=2012.8=
800001144409px;=20background-color:=20rgb(255,=20255,=20255);">wa'=20boq=20cha';=
=20chen=20wej.=20cha'=20boq=20wa';=20chen=20wej=20je.</span><span=20style=3D"col=
or:=20rgb(20,=2024,=2035);=20font-family:=20Arial,=20Helvetica,=20sans-serif;=20=
line-height:=2016px;=20white-space:=20pre-wrap;=20background-color:=20rgb(255,=20=
255,=20255);">}</span></font></div>=0A=0A=0A=0A<div=20style=3D"color:=20black;">=
<span=20style=3D"color:=20rgb(20,=2024,=2035);=20font-family:=20Helvetica,=20Ari=
al,=20'lucida=20grande',=20tahoma,=20verdana,=20arial,=20sans-serif;=20line-heig=
ht:=2012.8800001144409px;=20background-color:=20rgb(255,=20255,=20255);"><font=20=
size=3D"2">{cha'logh=20boq'egh=20wej;=20chen=20jav.=20wej'logh=20boq'egh=20cha';=
=20chen=20jav=20je.}</font></span></div>=0A=0A=0A=0A<div=20style=3D"color:=20bla=
ck;=20font-size:=2010pt;"><span=20style=3D"color:=20rgb(20,=2024,=2035);=20font-=
family:=20Arial,=20Helvetica,=20sans-serif;=20font-size:=2012px;=20line-height:=20=
16px;=20white-space:=20pre-wrap;=20background-color:=20rgb(255,=20255,=20255);">=
I=20state=20this=20{mI'QeD=20vIt}=20"truth"=20as=20{boqchuqDI'=20mI'mey,=20lengl=
aH=20bIH}.</span></div>=0A=0A=0A=0A<div=20style=3D"color:=20black;=20font-size:=20=
10pt;"><span=20style=3D"color:=20rgb(20,=2024,=2035);=20font-family:=20Arial,=20=
Helvetica,=20sans-serif;=20font-size:=2012px;=20line-height:=2016px;=20white-spa=
ce:=20pre-wrap;=20background-color:=20rgb(255,=20255,=20255);"><br>=0A</span></d=
iv>=0A=0A<div=20style=3D"color:=20black;=20font-size:=2010pt;"><span=20style=3D"=
color:=20rgb(20,=2024,=2035);=20font-family:=20Arial,=20Helvetica,=20sans-serif;=
=20font-size:=2012px;=20line-height:=2016px;=20white-space:=20pre-wrap;=20backgr=
ound-color:=20rgb(255,=20255,=20255);">Various=20terms=20for=20geometrical=20sha=
pes=20have=20been=20well-documented=20and=20don't=20need=20to=20be=20re-stated.<=
/span></div>=0A=0A=0A=0A<div=20style=3D"color:=20black;=20font-size:=2010pt;"><s=
pan=20style=3D"font-family:=20Arial,=20Helvetica,=20sans-serif;=20color:=20rgb(2=
0,=2024,=2035);=20font-size:=2012px;=20line-height:=2016px;=20white-space:=20pre=
-wrap;=20background-color:=20rgb(255,=20255,=20255);">Geometry=20could=20be=20re=
ndered=20{mey'QeD}=20or=20{yerghQeD}=20although=20these=20seems=20rather=20restr=
icted.</span></div>=0A=0A=0A=0A<div=20style=3D"color:=20black;=20font-size:=2010=
pt;"><span=20style=3D"font-family:=20Arial,=20Helvetica,=20sans-serif;=20color:=20=
rgb(20,=2024,=2035);=20font-size:=2012px;=20line-height:=2016px;=20white-space:=20=
pre-wrap;=20background-color:=20rgb(255,=20255,=20255);">=0A</span></div>=0A=0A=0A=
=0A<div=20style=3D"color:=20black;=20font-size:=2010pt;"><span=20style=3D"color:=
=20rgb(20,=2024,=2035);=20font-size:=2012px;=20line-height:=2016px;=20white-spac=
e:=20pre-wrap;=20background-color:=20rgb(255,=20255,=20255);"><font=20face=3D"Ar=
ial,=20Helvetica,=20sans-serif">Some=20terms=20which=20have=20been=20proposed=20=
recently=20by=20Doug=20Henning=20in=20the=20fb=20group:</font></span></div>=0A=0A=
=0A=0A<div><font=20color=3D"#141823"=20face=3D"Arial,=20Helvetica,=20sans-serif"=
><span=20style=3D"font-size:=2012px;=20line-height:=2016px;=20white-space:=20pre=
-wrap;=20background-color:=20rgb(255,=20255,=20255);">{nagh=20mI'}=20for=20integ=
er,=20I=20suppose=20because=20integers=20cannot "broken"=20into=20smaller=20=
numbers.=20I=20prefer=20something=20like=20{toghmeH=20mI'}=20or=20{mIw=20mI'}=20=
for=20integer.</span></font></div>=0A=0A=0A=0A<div><font=20color=3D"#141823"=20f=
ace=3D"Arial,=20Helvetica,=20sans-serif"><span=20style=3D"font-size:=2012px;=20l=
ine-height:=2016px;=20white-space:=20pre-wrap;=20background-color:=20rgb(255,=20=
255,=20255);">{lam=20mI'}=20for=20rational=20number,=20because=20they=20can=20be=
=20split=20(ie.=20factored?)=20practically=20indefinitely.=20This=20certainly=20=
isn't=20descriptive=20of=20the=20English=20term;=20a=20rational=20number=20is=20=
one=20that=20can=20be=20written=20as=20a=20fraction=20of=20integers.=20Since=20M=
altz=20hasn't=20ventured=20into=20integers=20yet,=20this=20could=20prove=20a=20t=
ricky=20area=20to=20navigate.</span></font></div>=0A=0A=0A=0A<div><font=20color=3D=
"#141823"=20face=3D"Arial,=20Helvetica,=20sans-serif"><span=20style=3D"font-size=
:=2012px;=20line-height:=2016px;=20white-space:=20pre-wrap;=20background-color:=20=
rgb(255,=20255,=20255);">{vaHbo'=20mI'}=20for=20real=20number,=20because=20of=20=
their=20continuity,=20or=20fluidity,=20through=20the=20entire=20number=20spectru=
m.=20If=20and=20when=20Maltz=20delves=20into=20real=20&=20imaginary=20number=
s,=20I=20would=20think=20something=20like=20{mI'=20teH}=20and=20{mI'=20ngeb}=20m=
ight=20be=20better=20suited.</span></font></div>=0A=0A=0A=0A<div><font=20color=3D=
"#141823"=20face=3D"Arial,=20Helvetica,=20sans-serif"><span=20style=3D"font-size=
:=2012px;=20line-height:=2016px;=20white-space:=20pre-wrap;=20background-color:=20=
rgb(255,=20255,=20255);">{mI'=20Sub}=20is=20a=20term=20I=20propose=20for=20prime=
=20number,=20one=20which=20cannot=20be=20factored=20into=20smaller=20numbers.</s=
pan></font></div>=0A=0A<div>{ghom}=20works=20quite=20well=20for=20sets=20of=20nu=
mbers</div>=0A=0A<div>{'ay'}=20could=20work=20for=20numerical=20factors.=20{jav=20=
'ay'mey=20bIH=20wa'=20cha'=20je},=20but=20this=20could=20be=20read=20as=20"6=20p=
arts"=20rather=20than=20"the=20parts=20of=206".</div>=0A=0A<div><br>=0A</div>=0A=
=0A<div>DaH=20jIjattaH=20vaj=20jImev.</div>=0A=0A<div>gheyIl</div>=0A=0A<div><br=
>=0A</div>=0A=0A</font></div>=0A</font>
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