BPFK Section: Intervals: Difference between revisions

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{{BPFK Section from tiki|BPFK Section: Intervals|35}}
{{BPFK Section box open}}
=== cmavo bi'i (BIhI) ===


==== Proposed Definition ====
Non-logical interval connective. Joins two values into an unordered interval between the two values.
==== Proposed Tag ====


===  cmavo bi'i (BIhI) ===


==== Proposed Definition ====
==== See Also ====
 
* {bi'o}
unordered interval -- non-logical interval connective: unordered between ... and ... --
 
====  Proposed Tag ====
 
====  See Also ====
 
====  Proposed Keywords ====


==== Proposed Keywords ====
* between
* between


==== Usage Examples ====
==== Usage Examples ====
 
;mi sanli la .drestyn. bi'i la .frankfurt.:''I stand between Dresden and Frankfurt.''
-stidi le nu zo no bi'i zo vai basti loi namcu bu<br />
 
-.i namcu bu ki'a<br />
 
-.i namcu lerfu pe'i<br />
 
-la'edi'u drani<br />
 
''-suggest that zero through F be substituted for the number signs''<br />
 
''-number signs?''<br />
 
''-I think he meant "digits"''<br />
 
''-that's right''
 
;la firgrup. sujgri lu'i li no bi'i ci le kaxycauvlina:"The Viergruppe is a group on the set [[jbocre: 0..3]] with exclusive-or as the operation."
 
;ni'oni'o di'e valsi co se cusku la moces. ro la .isra,EL. ze'o la .iarDEN. ne'i le xa'urcau po'u la .araVAT. te'e la suf. bu'u la paRAN. bi'i ke la toFEL. joi la lyVAN. joi la xatseROT. joi la diza'AV.:"These are the words which Moses said to all Israel beyond the Jordan in the uninhabited area which is Aravah on the border of Suph between Pa'ran and Tophel, Lavan, Chatserot, and Di Zahav."
 
====  Notes ====
 
====  Isssues ====
 
{BOX}


==== Notes ====
The order of the connected values does not matter.


=== cmavo bi'o (BIhI) ===
==== Isssues ====


====  Proposed Definition ====
{{BPFK Section box close}}


ordered interval -- non-logical interval connective: ordered from ... to ... --
{{BPFK Section box open}}
=== cmavo bi'o (BIhI) ===


==== Proposed Tag ====
==== Proposed Definition ====
Non-logical interval connective. Joins two values into an ordered interval that reaches from the first value to the second.
==== Proposed Tag ====


====  See Also ====


==== Proposed Keywords ====
==== See Also ====
* {bi'i}


==== Proposed Keywords ====
* from ... to
* from ... to


==== Usage Examples ====
==== Usage Examples ====
 
;mi gunka ze'a lo pavdei bi'o lo mumdei:''I work for the time spanning from Monday to Friday.''
;di'e pagbu la'elu lei xelso ranmi li'u pefi'e la nikos.tsiforos. noi xelso xamfinti je pilno be le no'e jikri'i skutra bei lenu larsku zi'ene la 1900nan bi'o la 1970nan:"This is part of "Greek Myths" by Nikos Tsiforos, a Greek humorist and slang devotee from 1900 to 1970."
 
;mi ca'o la 1999nan. bi'o la 2001nan. se jibri vi le merko:"From 1999 to 2001 I had a job in America."
 
;tcacyselsku fa lu la mrfis. bi'o la MANti,on li'u noi se smuni lu le cmana bi'o le xamsi li'u:"The saying is 'From Murphy to Manteo', which means 'From the mountain to the sea'."
 
====  Notes ====
 
====  Issues ====
 
{BOX}
 
 
===  cmavo mi'i (BIhI) ===
 
====  Proposed Definition ====
 
center-range -- non-logical interval connective: ordered components: ... center, ... range surrounding center --
 
====  Proposed Tag ====
 
====  See Also ====
 
====  Proposed Keywords ====


==== Usage Examples ====
;mi gunka ze'a lo mumdei se bi'o lo pavdei:''I work for the time spanning to Friday from Monday.''
==== Notes ====


;le bamjakne ba darxi la moskov. mi'i lo ki'otre be li panono:"The missile will hit within 100 kilometers of Moscow."
Order of the connected values very much so does matter.  For (a, b) to be good ("positive"), it must be the case that <math>a \leq b</math>. Conventionally, one might define -(b, a) = (a, b) for all real numbers a, b; in this case (b, a) is considered to be bad ("negative") and requires the corrective factor of -1 in the evaluation of the expression.


;le teilr. zei sujypoi pe lo dugri fancu cu jbize'a ve'a li pa ga'omi'i pa:"The Taylor series of the logarithm function converges within 1 of 1, closed at the center."
==== Issues ====


====  Notes ====
{{BPFK Section box close}}


====  Issues ====
{{BPFK Section box open}}
=== cmavo mi'i (BIhI) ===


{BOX}
==== Proposed Definition ====
Non-logical interval connective. Joins two values into an interval and refers to its center-range, or the range surrounding the center. The first value specifies the center, the second value specifies the distance from the center.
==== Proposed Tag ====




=== cmavo ga'o (GAhO) ===
==== See Also ====


====  Proposed Definition ====


Inclusive interval. When used before ''bi'o'' or ''bi'i'', it indicates that the beginning of the interval is closed. When used after ''bi'o'' or ''bi'i'', it indicates that the end of the interval is closed. When used before ''mi'i'', it indicates that the center of the interval is closed. When used after ''mi'i'', it indicates that the outside of the interval is closed.
==== Proposed Keywords ====
* center-range
* surrounding center
==== Usage Examples ====
;lo bamjakne ba janli la .moskov. mi'i lo ki'otre be li panono:''The missile will hit within 100 kilometers of Moscow.''


====  Proposed Tag ====
;lo .teilr. zei sujypoi pe lo dugri fancu cu jbize'a ve'a li pa ga'omi'i pa:''The Taylor series of the logarithm function converges within 1 of 1, closed at the center.''


==== See Also ====
==== Notes ====


====  Proposed Keywords ====


==== Usage Examples ====
==== Issues ====


.u'i mi pu zi krixa le ka gerku ga'o le mi mlatu<br />
{{BPFK Section box close}}


Yay, I just yelled out like a dog or my cat.<br />
{{BPFK Section box open}}
=== cmavo ga'o (GAhO) ===


(I have no idea if this is correct, this is the only usage I could find.)
==== Proposed Definition ====
Inclusive interval. Indicates that a boundary is included in an interval. When used before ''bi'o'' or ''bi'i'', it indicates that the beginning of the interval is closed. When used after ''bi'o'' or ''bi'i'', it indicates that the end of the interval is closed. When used before ''mi'i'', it indicates that the center of the interval is closed. When used after ''mi'i'', it indicates that the outside of the interval is closed.


==== Notes ====
==== Proposed Tag ====


====  Issues ====


{BOX}
==== See Also ====
* {ke'i}


==== Proposed Keywords ====
* inclusive interval
* closed interval
* include boundaries


===  cmavo ke'i (GAhO) ===


==== Proposed Definition ====
==== Usage Examples ====
;mi sanli la .drestyn. ga'o bi'i ga'o la .frankfurt.:''I am standing on the interval between Dresden and Frankfurt, inclusive of both.''


exclusive interval -- open interval bracket marker; modifies intervals in non-logical connectives; exclude boundaries --
;mi sanli la .drestyn. ga'o bi'i ke'i la .frankfurt.:''I am standing on the interval between Dresden (inclusive) and Frankfurt (exclusive).''


==== Proposed Tag ====
;mi sanli la .drestyn. ke'i bi'i ga'o la .frankfurt.:''I am standing on the interval between Dresden (exclusive) and Frankfurt (inclusive).''
==== Notes ====


====  See Also ====


==== Proposed Keywords ====
==== Issues ====


====  Usage Examples ====
{{BPFK Section box close}}


mi ciska lu abu sy li'u le xy ke'i bi'i ke'i le obu<br />
{{BPFK Section box open}}
=== cmavo ke'i (GAhO) ===


<br />
==== Proposed Definition ====
Exclusive interval. Indicates that a boundary is excluded from an interval. When used before bi'o or bi'i, it indicates that the beginning of the interval is open. When used after bi'o or bi'i, it indicates that the end of the interval is open. When used before mi'i, it indicates that the center of the interval is open. When used after mi'i, it indicates that the outside of the interval is open.
==== Proposed Tag ====


ke'i lenu mi cilre fo la velcli befi la lojban. bei loi co'a cilre cu mulno .ije mi ca'oca troci lenu mi jimpe la lojban. <br />


<br />
==== See Also ====
* {ga'o}


mi citka lo ke clani je desku je pelxu ke'i cidja<br />
==== Proposed Keywords ====
* exclusive interval
* open interval
* exlude boundaries


(Unable to translate! -Lindar)


==== Notes ====
==== Usage Examples ====


====  Issues ====
;mi sanli la .drestyn. ga'o bi'i ke'i la .frankfurt.:''I am standing on the interval between Dresden (inclusive) and Frankfurt (exclusive).''


{BOX}
;mi sanli la .drestyn. ke'i bi'i ga'o la .frankfurt.:''I am standing on the interval between Dresden (exclusive) and Frankfurt (inclusive).''


=== Proposed grammar changes ===
;mi sanli la .drestyn. ke'i bi'i ke'i la .frankfurt.:''I am standing on the interval between Dresden and Frankfurt, exclusive of both.''
==== Notes ====


In the PEG grammar, replace the line<br />


joik <- SE-clause? JOI-clause NAI-clause? / interval / GAhO-clause interval GAhO-clause<br />
==== Issues ====


with the line<br />
{{BPFK Section box close}}


{{BPFK Section box open}}
=== Proposed grammar changes ===
In the PEG grammar, replace the line<br>
^
joik <- SE-clause? JOI-clause NAI-clause? / interval / GAhO-clause interval GAhO-clause<br>
^
with the line<br>
^
joik <- SE-clause? JOI-clause NAI-clause? / interval / GAhO-clause interval / interval GAhO-clause / GAhO-clause interval GAhO-clause
joik <- SE-clause? JOI-clause NAI-clause? / interval / GAhO-clause interval / interval GAhO-clause / GAhO-clause interval GAhO-clause
 
^
A joik cannot be immediately followed by another joik, so a sequence "BIhI GAhO BIhI" cannot occur, so determining to which BIhI a GAhO belongs does not depend on the order in this line.
A joik cannot be immediately followed by another joik, so a sequence "BIhI GAhO BIhI" cannot occur, so determining to which BIhI a GAhO belongs does not depend on the order in this line.
 
{{BPFK Section box close}}
=== General Section Notes ===
=== General Section Notes ===
 
BIhI may be used with only one GAhO next to it; this indicates that one end of the interval is closed or open, but says nothing about the other end. The Taylor series mentioned above diverges at 0, but converges at all other points on the boundary of the disk of convergence; thus the outside is neither closed nor open.
BIhI may be used with only one GAhO next to it; this indicates that one end of the interval is closed or open, but says nothing about the other end. The Taylor series mentioned above diverges at 0, but converges at all other points on the boundary of the disk of convergence; thus the outside is neither closed nor open.


The definition of GAhO with ''mi'i'' differs from that in CLL, but there appears to be no prior usage of GAhO with ''mi'i''.
The definition of GAhO with ''mi'i'' differs from that in CLL, but there appears to be no prior usage of GAhO with ''mi'i''.


Allowing BIhI with only one GAhO is a change in the grammar. Since GAhO is used only with BIhI, and no [[jbocre: GAhO|GAhO]] BIhI [[jbocre: GAhO|GAhO]] may be followed immediately by another [[jbocre: GAhO|GAhO]] BIhI [[jbocre: GAhO|GAhO]], this introduces no new ambiguity.
Allowing BIhI with only one GAhO is a change in the grammar. Since GAhO is used only with BIhI, and no [GAhO] BIhI [GAhO] may be followed immediately by another [GAhO] BIhI [GAhO], this introduces no new ambiguity.


==== Interval or Point? ====
==== Interval or Point? ====
 
There is a question whether ''abu bi'i by'' denotes the interval [a..b] or some point in the interval. Here are some examples, showing which way it has been used:
There is a question whether ''abu bi'i by'' denotes the interval [[a..b|a..b]] or some point in the interval. Here are some examples, showing which way it has been used:


;lo kanla be lo remna cu viska loi gusni poi boxna folo navytre beli 400 bi'i li 800:"The human eye can see light of wavelength between 400 and 800 nanometers."
;lo kanla be lo remna cu viska loi gusni poi boxna folo navytre beli 400 bi'i li 800:"The human eye can see light of wavelength between 400 and 800 nanometers."
 
Wikipedia [[gusni]]<br>
Wikipedia [[gusni|gusni]]<br />
 
unclear
unclear


;le trucerda be fi ty. ba'orgau le se sornaitru la madjarorsag. bi'i la jugygug.:"His successors expanded the empire from Hungary to China."
;le trucerda be fi ty. ba'orgau le se sornaitru la madjarorsag. bi'i la jugygug.:"His successors expanded the empire from Hungary to China."
 
Wikipedia [[tcingis xan]]<br>
Wikipedia [[jbocre: tcingis xan|tcingis xan]]<br />
 
interval
interval


;le critu dorduncte cu cabna le 22 bi'i 24 moi be le xlima'i:"The autumnal equinox occurs between the 22nd and the 24th of September."
;le critu dorduncte cu cabna le 22 bi'i 24 moi be le xlima'i:"The autumnal equinox occurs between the 22nd and the 24th of September."
 
Wikipedia [[dorduncte]]<br>
Wikipedia [[dorduncte|dorduncte]]<br />
 
point
point


;pamoi mitre fo piki'oki'opa lo jedji'o bi'i lo mijycukla:"The first standard for the meter was one ten-millionth of the distance between the pole and the equator."
;pamoi mitre fo piki'oki'opa lo jedji'o bi'i lo mijycukla:"The first standard for the meter was one ten-millionth of the distance between the pole and the equator."
 
Wikipedia [[treci'e]]<br>
Wikipedia [[jbocre: treci'e|treci'e]]<br />
 
interval
interval


;la sangug. stici la spetsias. bi'i la riminis.:"Spain is west of the La Spezia-Rimini line."
;la sangug. stici la spetsias. bi'i la riminis.:"Spain is west of the La Spezia-Rimini line."
 
Wikipedia [[sanban]]<br>
Wikipedia [[jbocre: sanban|sanban]]<br />
 
interval
interval


;pa jijyjutsi po'u la'o ly. Toona .ly. kuspe lo norgla jugygu'e bi'i lo nanstuna sralygu'e:"One genus, Toona, ranges from temperate China to southeast Australia."
;pa jijyjutsi po'u la'o ly. Toona .ly. kuspe lo norgla jugygu'e bi'i lo nanstuna sralygu'e:"One genus, Toona, ranges from temperate China to southeast Australia."
 
Wikipedia [[spatrmeliace]]<br>
Wikipedia [[jbocre: spatrmeliace|spatrmeliace]]<br />
 
interval
interval


;la'aru'e lo skalduna cu stali la .auskalerik ca'o le nu lo remna be la kromanion. cu basti lo remna be la neANdertal. kei bi'o le cabna:"Possibly, Basques have been in Basque Country from the time Cro-Magnon Man replaced Neanderthal Man until now."
;la'aru'e lo skalduna cu stali la .auskalerik ca'o le nu lo remna be la kromanion. cu basti lo remna be la neANdertal. kei bi'o le cabna:"Possibly, Basques have been in Basque Country from the time Cro-Magnon Man replaced Neanderthal Man until now."
 
Wikipedia [[skalduna]]<br>
Wikipedia [[jbocre: skalduna|skalduna]]<br />
 
interval
interval


Line 234: Line 199:


;lo glico vlasrocku pe la oksford ge'u noi ke mulno je tcilykai ke'e pe'a pixra be ro glico valsi be ze'u lo ri citri cu se finti de'i li 1858 bi'o 1928:"The Oxford English Dictionary, a complete and detailed picture of all English words throughout their history, was authored from 1858 to 1928."
;lo glico vlasrocku pe la oksford ge'u noi ke mulno je tcilykai ke'e pe'a pixra be ro glico valsi be ze'u lo ri citri cu se finti de'i li 1858 bi'o 1928:"The Oxford English Dictionary, a complete and detailed picture of all English words throughout their history, was authored from 1858 to 1928."
Wikipedia [[citri lo glibau]]<br>
all intervals
;by fy nitcu lo remna poi milxe bi'o banli to pa mai toi certu la lojban:"BF needs people who are slightly to greatly (firstly) expert in Lojban."
camgusmis <br>
point


Wikipedia [[citri lo glibau|citri lo glibau]]<br />


all intervals
_____
 
lai [[User:Krtisfranks|.krtisfranks.]] maintains that these words can only refer to sets (intervals) and using them to select individual points from those implied sets (even in the case of [a, a] = {a}) amounts to abuse of 'notation'.


;by fy nitcu lo remna poi milxe bi'o banli to pa mai toi certu la lojban:"BF needs people who are slightly to greatly (firstly) expert in Lojban."
== See also ==


camgusmis <br />
*[[Extended Dimensionality of Interval cmavo]]


point
== Poll ==
{{BPFK Section poll| {POLL(pollId=>47)}{POLL} }}
[[Category:BPFK Sections including selma'o BIhI|I]]
[[Category:BPFK Sections including selma'o CAhO|I]]
[[Category:BPFK Sections including selma'o GAhO|I]]

Latest revision as of 23:11, 3 April 2020

This page is imported from version 35 of the page BPFK Section: Intervals from the lojban Tiki.

cmavo bi'i (BIhI)

Proposed Definition

Non-logical interval connective. Joins two values into an unordered interval between the two values.

Proposed Tag

See Also

  • {bi'o}

Proposed Keywords

  • between

Usage Examples

mi sanli la .drestyn. bi'i la .frankfurt.
I stand between Dresden and Frankfurt.

Notes

The order of the connected values does not matter.

Isssues

cmavo bi'o (BIhI)

Proposed Definition

Non-logical interval connective. Joins two values into an ordered interval that reaches from the first value to the second.

Proposed Tag

See Also

  • {bi'i}

Proposed Keywords

  • from ... to

Usage Examples

mi gunka ze'a lo pavdei bi'o lo mumdei
I work for the time spanning from Monday to Friday.
mi gunka ze'a lo mumdei se bi'o lo pavdei
I work for the time spanning to Friday from Monday.

Notes

Order of the connected values very much so does matter. For (a, b) to be good ("positive"), it must be the case that . Conventionally, one might define -(b, a) = (a, b) for all real numbers a, b; in this case (b, a) is considered to be bad ("negative") and requires the corrective factor of -1 in the evaluation of the expression.

Issues

cmavo mi'i (BIhI)

Proposed Definition

Non-logical interval connective. Joins two values into an interval and refers to its center-range, or the range surrounding the center. The first value specifies the center, the second value specifies the distance from the center.

Proposed Tag

See Also

Proposed Keywords

  • center-range
  • surrounding center

Usage Examples

lo bamjakne ba janli la .moskov. mi'i lo ki'otre be li panono
The missile will hit within 100 kilometers of Moscow.
lo .teilr. zei sujypoi pe lo dugri fancu cu jbize'a ve'a li pa ga'omi'i pa
The Taylor series of the logarithm function converges within 1 of 1, closed at the center.

Notes

Issues

cmavo ga'o (GAhO)

Proposed Definition

Inclusive interval. Indicates that a boundary is included in an interval. When used before bi'o or bi'i, it indicates that the beginning of the interval is closed. When used after bi'o or bi'i, it indicates that the end of the interval is closed. When used before mi'i, it indicates that the center of the interval is closed. When used after mi'i, it indicates that the outside of the interval is closed.

Proposed Tag

See Also

  • {ke'i}

Proposed Keywords

  • inclusive interval
  • closed interval
  • include boundaries


Usage Examples

mi sanli la .drestyn. ga'o bi'i ga'o la .frankfurt.
I am standing on the interval between Dresden and Frankfurt, inclusive of both.
mi sanli la .drestyn. ga'o bi'i ke'i la .frankfurt.
I am standing on the interval between Dresden (inclusive) and Frankfurt (exclusive).
mi sanli la .drestyn. ke'i bi'i ga'o la .frankfurt.
I am standing on the interval between Dresden (exclusive) and Frankfurt (inclusive).

Notes

Issues

cmavo ke'i (GAhO)

Proposed Definition

Exclusive interval. Indicates that a boundary is excluded from an interval. When used before bi'o or bi'i, it indicates that the beginning of the interval is open. When used after bi'o or bi'i, it indicates that the end of the interval is open. When used before mi'i, it indicates that the center of the interval is open. When used after mi'i, it indicates that the outside of the interval is open.

Proposed Tag

See Also

  • {ga'o}

Proposed Keywords

  • exclusive interval
  • open interval
  • exlude boundaries


Usage Examples

mi sanli la .drestyn. ga'o bi'i ke'i la .frankfurt.
I am standing on the interval between Dresden (inclusive) and Frankfurt (exclusive).
mi sanli la .drestyn. ke'i bi'i ga'o la .frankfurt.
I am standing on the interval between Dresden (exclusive) and Frankfurt (inclusive).
mi sanli la .drestyn. ke'i bi'i ke'i la .frankfurt.
I am standing on the interval between Dresden and Frankfurt, exclusive of both.

Notes

Issues

Proposed grammar changes

In the PEG grammar, replace the line
^ joik <- SE-clause? JOI-clause NAI-clause? / interval / GAhO-clause interval GAhO-clause
^ with the line
^ joik <- SE-clause? JOI-clause NAI-clause? / interval / GAhO-clause interval / interval GAhO-clause / GAhO-clause interval GAhO-clause ^ A joik cannot be immediately followed by another joik, so a sequence "BIhI GAhO BIhI" cannot occur, so determining to which BIhI a GAhO belongs does not depend on the order in this line.

General Section Notes

BIhI may be used with only one GAhO next to it; this indicates that one end of the interval is closed or open, but says nothing about the other end. The Taylor series mentioned above diverges at 0, but converges at all other points on the boundary of the disk of convergence; thus the outside is neither closed nor open.

The definition of GAhO with mi'i differs from that in CLL, but there appears to be no prior usage of GAhO with mi'i.

Allowing BIhI with only one GAhO is a change in the grammar. Since GAhO is used only with BIhI, and no [GAhO] BIhI [GAhO] may be followed immediately by another [GAhO] BIhI [GAhO], this introduces no new ambiguity.

Interval or Point?

There is a question whether abu bi'i by denotes the interval [a..b] or some point in the interval. Here are some examples, showing which way it has been used:

lo kanla be lo remna cu viska loi gusni poi boxna folo navytre beli 400 bi'i li 800
"The human eye can see light of wavelength between 400 and 800 nanometers."

Wikipedia gusni
unclear

le trucerda be fi ty. ba'orgau le se sornaitru la madjarorsag. bi'i la jugygug.
"His successors expanded the empire from Hungary to China."

Wikipedia tcingis xan
interval

le critu dorduncte cu cabna le 22 bi'i 24 moi be le xlima'i
"The autumnal equinox occurs between the 22nd and the 24th of September."

Wikipedia dorduncte
point

pamoi mitre fo piki'oki'opa lo jedji'o bi'i lo mijycukla
"The first standard for the meter was one ten-millionth of the distance between the pole and the equator."

Wikipedia treci'e
interval

la sangug. stici la spetsias. bi'i la riminis.
"Spain is west of the La Spezia-Rimini line."

Wikipedia sanban
interval

pa jijyjutsi po'u la'o ly. Toona .ly. kuspe lo norgla jugygu'e bi'i lo nanstuna sralygu'e
"One genus, Toona, ranges from temperate China to southeast Australia."

Wikipedia spatrmeliace
interval

la'aru'e lo skalduna cu stali la .auskalerik ca'o le nu lo remna be la kromanion. cu basti lo remna be la neANdertal. kei bi'o le cabna
"Possibly, Basques have been in Basque Country from the time Cro-Magnon Man replaced Neanderthal Man until now."

Wikipedia skalduna
interval

srana lo tolci'o glibau noi pu renvi de'i li ji'i 0450 bi'o ji'i 1066
"About Old English, which lasted from about 450 to about 1066"
ko'e cu se banta'a co cabna lo tolci'o berdo'obau noi jibni ko'e lo ka ckini zi'e noi bangu lai vikingr. poi ke'a lo gligu'e de'i li 0790 bi'o ji'i 1040 gunta ce'o co'arxabju
"It was spoken at the same time as Old Norse, which is closely related and was spoken by the Vikings, who from 790 to 1040 attacked and then occupied England."
srana lo midju glibau noi pu renvi de'i li ji'i 1066 bi'o ji'i 1500
"About Middle English, which lasted from about 1066 to about 1500."
lo gligu'e cu jamna lo fasygu'e soi vo'a vo'e de'i li 1202 bi'o 1214
"England warred France and vice versa from 1202 to 1214."
srana lo purci ke cabna glibau noi pu renvi de'i li ji'i 1500 bi'o ji'i 1650
"About Early Modern English, which lasted from about 1500 to about 1650."
lo glico vlasrocku pe la oksford ge'u noi ke mulno je tcilykai ke'e pe'a pixra be ro glico valsi be ze'u lo ri citri cu se finti de'i li 1858 bi'o 1928
"The Oxford English Dictionary, a complete and detailed picture of all English words throughout their history, was authored from 1858 to 1928."

Wikipedia citri lo glibau
all intervals

by fy nitcu lo remna poi milxe bi'o banli to pa mai toi certu la lojban
"BF needs people who are slightly to greatly (firstly) expert in Lojban."

camgusmis
point


_____

lai .krtisfranks. maintains that these words can only refer to sets (intervals) and using them to select individual points from those implied sets (even in the case of [a, a] = {a}) amounts to abuse of 'notation'.

See also

Poll