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History: BPFK Section: Intervals
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! Proposed Definitions And Examples !! Proposed Definition of ''bi'i'' ;__bi'i__ (BIhI): unordered interval -- non-logical interval connective: unordered between ... and ... -- ** Keywords: !! Examples of ''bi'i'' Usage -stidi le nu zo no bi'i zo vai basti loi namcu bu -.i namcu bu ki'a -.i namcu lerfu pe'i -la'edi'u drani ''-suggest that zero through F be substituted for the number signs'' ''-number signs?'' ''-I think he meant "digits"'' ''-that's right'' la firgrup. sujgri lu'i li no bi'i ci le kaxycauvlina ''The Viergruppe is a group on the set [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.'' !! Proposed Definition of ''bi'o'' ;__bi'o__ (BIhI): ordered interval -- non-logical interval connective: ordered from ... to ... -- ** Keywords: !! Examples of ''bi'o'' Usage 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".'' !! Proposed Definition of ''mi'i'' ;__mi'i__ (BIhI): center-range -- non-logical interval connective: ordered components: ... center, ... range surrounding center -- ** Keywords: !! Examples of ''mi'i'' Usage le bamjakne ba darxi la moskov. mi'i lo ki'otre be li panono ''The missile will hit within 100 kilometers of Moscow.'' 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.'' !! Proposed Definition of ''ga'o'' ;__ga'o__ (GAhO): 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. ** Keywords: !! Examples of ''ga'o'' Usage !! Proposed Definition of ''ke'i'' ;__ke'i__ (GAhO): exclusive interval -- open interval bracket marker; modifies intervals in non-logical connectives; exclude boundaries -- ** Keywords: !! Examples of ''ke'i'' Usage ! 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. ! Impact 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.
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Ilmen
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PierreAbbat
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interval or point?
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mi'i examples, notes, impact
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