And. Joins two sumti into one sumti. The referents of the resulting sumti are the referents of both sumti considered jointly. More than two sumti may be joined into one sumti by chaining up additional { jo'u sumti }.<br />
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Keywords<br />
And<br />
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Examples<br />
.i mi jo'u la .clsn. cu ciksi tu'a lo cmavo be zo coi
Me and Shoulson are explaining about the cmavo of selma'o COI.<br />
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lo za'e tridu cu mixre lo tricu jo'u lo tcidu
A 'treeder' is a mixture of a tree and a reader.<br />
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ju'e (JOI)<br />
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Definition<br />
Vague connective. Joins two sumti into one sumti. The referent of the resulting sumti is some function of the referents of both sumti.<br />
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Keywords<br />
Vague connective<br />
<br />
Examples<br />
mi'a casnu zo jetnu ju'e zo fatci ju'e lo si'o jetnu ku ju'e lo si'o fatci
We are discussing about "truth"/"fact"/truth/fact. (IRC, Eimi, 22 Dec 2008 07:40:19)<br />
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:.i ji'a co'e lo plise ju'e lo perli ju'e lo drata:Also an apple and a pear. (IRC, xalbo, 5 Oct 2010 12:50:22)<br />
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fa'u (JOI)<br />
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Definition<br />
Respectively. Joins two sumti into one sumti. The referents of the resulting sumti are the referents of both sumti considered jointly and distributively in correspondence with another term.<br />
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Keywords<br />
Respectively<br />
<br />
Examples<br />
mi fa'u do klama lo zdani fa'u lo zarci
Me and you go home and to the market, respectively.<br />
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li pano fa'u li cinono cu jdima lo nu klama fu lo girzu karce fa'u lo vinji
Ten and three-hundred are the prices of going by bus and by plane, respectively.<br />
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joi (JOI)<br />
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Definition<br />
Non-distributive group. Joins two sumti into one sumti. The referents of the resulting sumti are the referents of both sumti considered jointly and non-distributively.<br />
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Keywords<br />
Both<br />
Together with<br />
And<br />
<br />
Example<br />
mi joi ry. ze'a casnu lo lijda ctuca tadji
Me and R have been discussing religious teaching methods.<br />
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la .djan. joi la .pitr. cu re mei
John and Peter are two.<br />
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la jegvon cu cevni le xriso joi le xebro joi le muslo
Jehovah is the god of the Christians, the Jews and the Muslims.<br />
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ce (JOI)<br />
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Definition<br />
Joins two sumti into one sumti. The referent of the resulting sumti is the set whose members are the referents of both sumti considered jointly.<br />
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Keywords<br />
And (set)<br />
<br />
Examples<br />
.abu ce by ce cy vasru .abu ce by
{a, b, c} ⊇ {a, b}<br />
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ce'o (JOI)<br />
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Definition<br />
Joins two sumti into one sumti. The referent of the resulting sumti is the sequence whose members are the referents of both sumti considered jointly.<br />
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Keywords<br />
And (sequence)<br />
<br />
Examples<br />
jukpa ce'o citka lo cersai co'o ru'e
Making and eating breakfast, bye for now.<br />
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.abu ce'o by cu mleca cy ce'u dy .ijo ge .abu mleca cy gi by mleca dy
(a,b) ≤ (c,d) if and only if a ≤ c and b ≤ d<br />
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jo'e (JOI)<br />
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Definition<br />
Union of sets. Joins two sumti into one sumti. The referent of the resulting sumti is the set which is the union of the sets referred to by each sumti.<br />
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Keywords<br />
Union<br />
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Examples<br />
lo'i brivla cu du lo'i gismu jo'e lo'i fu'ivla jo'e lo'i lujvo to po'o xu toi
The set of brivla is equal to the union of the set of gismu and the set of fu'ivla and the set of lujvo (only?).<br />
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ku'a (JOI)<br />
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Definition<br />
Intersection of sets. Joins two sumti into one sumti. The referent of the resulting sumti is the set which is the intersection of the sets referred to by each sumti.<br />
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Keywords<br />
Intersection<br />
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Examples<br />
xy cmima .abu ku'a by .ijo ge xy cmima .abu gi xy cmima by
x ∈ A ∩ B if and only if x ∈ A and x ∈ B.<br />
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pi'u (JOI)<br />
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Definition<br />
Cross product of sets. Joins two sumti into one sumti. The referent of the resulting sumti is the set which is the cross product of the sets referred to by each sumti.<br />
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Keywords<br />
Set Product<br />
Cartesian Product<br />
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Examples<br />
le'i bebna ku pi'u le'i mabla sidbo ku cu barda
The cross product of the set of silly things and the set of bad ideas is large.<br />
{BOX()}
Formal definitions
sumti1 ju'e sumti2
= lo co'e be sumti1 bei sumti2
sumti1 jo'u sumti2
= lo suzmei noi sumti1 .e sumti2 .e no drata be sumti1 .e sumti2 cu me ke'a
sumti1 joi sumti2
= lo gunma be sumti1 .e sumti2 .e no drata be sumti1 .e sumti2
sumti1 ce sumti2
= lo se cmima be sumti1 .e sumti2 .e no drata be sumti1 .e sumti2
sumti1 ce'o sumti2
= lo porsi be fi sumti1 jo'u sumti2 be'o noi sumti1 lidne sumti2 ke'a
sumti1 jo'e sumti2
= lo selcmi noi ro cmima be ke'a cu cmima sumti1 .a sumti2
sumti1 ku'a sumti2
= lo selcmi noi ro cmima be ke'a cu cmima sumti1 .e sumti2