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Subject: [jvsw] Definition Edited At Word tseingu -- By krtisfranks
Date: Thu, 2 Aug 2018 23:32:49 -0700
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In jbovlaste, the user krtisfranks has edited a
definition of "tseingu" in the language "English".

Differences:

5,5c5,5
< 		While technically not good, this definition also employs the convention that $x_3$ is positive (countable) infinity if $A$ does not exist, meaning that $x_1$ and $x_2$ belong to mutually disjoint trees (or if at least one of them is undefined); in this case, $x_4$ is not well-defined (see: "{zi'au}"). This word can be used to specify the concept of "$n$th cousin $m$-times removed"-ness; $x_1$ and $x_2$ would be the cousins, $x_3-1 = n$, and $x_4$ is closely related to $m$ but is signed. If one views the tree graphs to which $x_1$ and $x_2$ belong with the viewing perspective such that siblings and spouses are mutually separated horizontally and such that ancestors are separated from their descendants vertically, then $x_3$ is the unsigned horizontal distance between $x_1$ and $x_2$. $x_4$ is, approximately, the signed generational offset/difference between subjects $x_1$ and $x_2$; it it their signed 'vertical' difference under the aforementioned viewing perspective. The relationship need not actually be cousinhood  (as perceived by English); direct ancestor-descendant pairs, (aunt/uncle)-(niece/nephew) pairs, and in fact any pair of family members with a well-specified most recent common ancestor (that is known) have this relationship to one another. This word can be used for specifying the number of "great"'s in the title of a relationship between $x_1$ and $x_2$ (with some calculational forethought). The tree diagram can be more generic than a family tree though; thus cousinhood is just a way to put it into context/application and is not really essential to the meaning except through analogy. Notice the ordering of all terms; if the graph is directed, the arguments of the distance matters. The graph should probably be a tree locally if it is to be a well-defined relationship. $x_3$ is unchanged but $x_4$ is negated (multiplied by $-1$) by/under exchange of $x_1$ and $x_2$. The ordered pair $(x_3, x_4)$ is named "consanguistance between $x_1$ and $x_2$ (in that order)" by Curtis Franks. For a normal family tree and fixed $x_1$ therein, consanguistance produces countably many equivalence classes of nodes. It does not recognize the difference between half or full relatives, marriages/parentings are either unsupported (when $x_3 > 0$) or are reduced to be equivalent (when $x_3 = 0$ and $x_4 \neq 0$), and gender/sex are ignored/reduced to equivalence. The set of nodes $x_2$ with $x_3 = 0$ is called $x_1$'s (the subject's) genealogical line (id est: if $x_3 = 0$, then $x_1$ re'au'e ja se dzena $x_2$ according to the edge relation on the graph or $x_1 = x_2$); the set of nodes with $x_3 > 0$ are sibling/branch/side lines, which could be labelled and ordered, but doing so would be somewhat difficult with this word. This word focuses on the relationship between $x_1$ and $x_2$, not the relationship between each of them and A; for that, see {anseingu}. The underlying tree graph is, modulo an equivalence relation involving tseingu, a 'quipyew' tree graph (see "{grafnkipliiu}").
---
> 		While technically not good, this definition also employs the convention that $x_3$ is positive (countable) infinity if $A$ does not exist, meaning that $x_1$ and $x_2$ belong to mutually disjoint trees (or if at least one of them is undefined); in this case, $x_4$ is not well-defined (see: "{zi'au}"). This word can be used to specify the concept of "$n$th cousin $m$-times removed"-ness; $x_1$ and $x_2$ would be the cousins, $x_3-1 = n$, and $x_4$ is closely related to $m$ but is signed. If one views the tree graphs to which $x_1$ and $x_2$ belong with the viewing perspective such that siblings and spouses are mutually separated horizontally and such that ancestors are separated from their descendants vertically, then $x_3$ is the unsigned horizontal distance between $x_1$ and $x_2$. $x_4$ is, approximately, the signed generational offset/difference between subjects $x_1$ and $x_2$; it it their signed 'vertical' difference under the aforementioned viewing perspective. The relationship need not actually be cousinhood  (as perceived by English); direct ancestor-descendant pairs, (aunt/uncle)-(niece/nephew) pairs, and in fact any pair of family members with a well-specified most recent common ancestor (that is known) have this relationship to one another. This word can be used for specifying the number of "great"'s in the title of a relationship between $x_1$ and $x_2$ (with some calculational forethought). The tree diagram can be more generic than a family tree though; thus cousinhood is just a way to put it into context/application and is not really essential to the meaning except through analogy. Notice the ordering of all terms; if the graph is directed, the arguments of the distance matters. The graph should probably be a tree locally if it is to be a well-defined relationship. $x_3$ is unchanged but $x_4$ is negated (multiplied by $-1$) by/under exchange of $x_1$ and $x_2$. The ordered pair $(x_3, x_4)$ is named "consanguistance between $x_1$ and $x_2$ (in that order)" by Curtis Franks. For a normal family tree and fixed $x_1$ therein, consanguistance produces countably many equivalence classes of nodes. It does not recognize the difference between half or full relatives, marriages/parentings are either unsupported (when $x_3 > 0$) or are reduced to be equivalent (when $x_3 = 0$ and $x_4 \neq 0$), and gender/sex are ignored/reduced to equivalence. The set of nodes $x_2$ with $x_3 = 0$ is called $x_1$'s (the subject's) genealogical line (id est: if $x_3 = 0$, then $x_1$ re'au'e ja se dzena $x_2$ according to the edge relation on the graph or $x_1 = x_2$); the set of nodes with $x_3 > 0$ are sibling/branch/side lines, which could be labelled and ordered, but doing so would be somewhat difficult with this word. This word focuses on the relationship between $x_1$ and $x_2$, not the relationship between each of them and A; for that, see ".{anseingu}". The underlying tree graph is, modulo an equivalence relation involving tseingu, a 'quipyew' tree graph (see "{grafnkipliiu}"). This concept is fairly unnatural and convoluted, so it is probably {malgli} except for the purpose of translations; in a natural, culturally-neutral Lojbanic context, ".anseingu" is preferred.


Old Data:

	Definition:
		$x_1$ (node in a tree graph) and $x_2$ (node in the same tree graph) have an essentially unique most recent (graph-nearest) common ancestor node A such that $x_3$ [nonnegative integer; li] is the minimum element of the set consisting only of $d($A$, x_1)$ and of $d($A$, x_2)$, and such that $x_4$ [integer; li] is $d($A$, x_1) - d($A$, x_2)$, where $d$ is the graph geodesic distance (defined to be infinite if nodes are not connected in the correct direction).

	Notes:
		While technically not good, this definition also employs the convention that $x_3$ is positive (countable) infinity if $A$ does not exist, meaning that $x_1$ and $x_2$ belong to mutually disjoint trees (or if at least one of them is undefined); in this case, $x_4$ is not well-defined (see: "{zi'au}"). This word can be used to specify the concept of "$n$th cousin $m$-times removed"-ness; $x_1$ and $x_2$ would be the cousins, $x_3-1 = n$, and $x_4$ is closely related to $m$ but is signed. If one views the tree graphs to which $x_1$ and $x_2$ belong with the viewing perspective such that siblings and spouses are mutually separated horizontally and such that ancestors are separated from their descendants vertically, then $x_3$ is the unsigned horizontal distance between $x_1$ and $x_2$. $x_4$ is, approximately, the signed generational offset/difference between subjects $x_1$ and $x_2$; it it their signed 'vertical' difference under the aforementioned viewing perspective. The relationship need not actually be cousinhood  (as perceived by English); direct ancestor-descendant pairs, (aunt/uncle)-(niece/nephew) pairs, and in fact any pair of family members with a well-specified most recent common ancestor (that is known) have this relationship to one another. This word can be used for specifying the number of "great"'s in the title of a relationship between $x_1$ and $x_2$ (with some calculational forethought). The tree diagram can be more generic than a family tree though; thus cousinhood is just a way to put it into context/application and is not really essential to the meaning except through analogy. Notice the ordering of all terms; if the graph is directed, the arguments of the distance matters. The graph should probably be a tree locally if it is to be a well-defined relationship. $x_3$ is unchanged but $x_4$ is negated (multiplied by $-1$) by/under exchange of $x_1$ and $x_2$. The ordered pair $(x_3, x_4)$ is named "consanguistance between $x_1$ and $x_2$ (in that order)" by Curtis Franks. For a normal family tree and fixed $x_1$ therein, consanguistance produces countably many equivalence classes of nodes. It does not recognize the difference between half or full relatives, marriages/parentings are either unsupported (when $x_3 > 0$) or are reduced to be equivalent (when $x_3 = 0$ and $x_4 \neq 0$), and gender/sex are ignored/reduced to equivalence. The set of nodes $x_2$ with $x_3 = 0$ is called $x_1$'s (the subject's) genealogical line (id est: if $x_3 = 0$, then $x_1$ re'au'e ja se dzena $x_2$ according to the edge relation on the graph or $x_1 = x_2$); the set of nodes with $x_3 > 0$ are sibling/branch/side lines, which could be labelled and ordered, but doing so would be somewhat difficult with this word. This word focuses on the relationship between $x_1$ and $x_2$, not the relationship between each of them and A; for that, see {anseingu}. The underlying tree graph is, modulo an equivalence relation involving tseingu, a 'quipyew' tree graph (see "{grafnkipliiu}").

	Jargon:
		

	Gloss Keywords:
		Word: consanguinity values, In Sense: 
		Word: consanguistance, In Sense: C. Franks' neologism, genealogy
		Word: cousin degree, In Sense: 
		Word: cousin order, In Sense: ordinal of cousin relationship
		Word: cousin removal, In Sense: 
		Word: degree of removal, In Sense: cousin relationship
		Word: kinship number, In Sense: 

	Place Keywords:


New Data:

	Definition:
		$x_1$ (node in a tree graph) and $x_2$ (node in the same tree graph) have an essentially unique most recent (graph-nearest) common ancestor node A such that $x_3$ [nonnegative integer; li] is the minimum element of the set consisting only of $d($A$, x_1)$ and of $d($A$, x_2)$, and such that $x_4$ [integer; li] is $d($A$, x_1) - d($A$, x_2)$, where $d$ is the graph geodesic distance (defined to be infinite if nodes are not connected in the correct direction).

	Notes:
		While technically not good, this definition also employs the convention that $x_3$ is positive (countable) infinity if $A$ does not exist, meaning that $x_1$ and $x_2$ belong to mutually disjoint trees (or if at least one of them is undefined); in this case, $x_4$ is not well-defined (see: "{zi'au}"). This word can be used to specify the concept of "$n$th cousin $m$-times removed"-ness; $x_1$ and $x_2$ would be the cousins, $x_3-1 = n$, and $x_4$ is closely related to $m$ but is signed. If one views the tree graphs to which $x_1$ and $x_2$ belong with the viewing perspective such that siblings and spouses are mutually separated horizontally and such that ancestors are separated from their descendants vertically, then $x_3$ is the unsigned horizontal distance between $x_1$ and $x_2$. $x_4$ is, approximately, the signed generational offset/difference between subjects $x_1$ and $x_2$; it it their signed 'vertical' difference under the aforementioned viewing perspective. The relationship need not actually be cousinhood  (as perceived by English); direct ancestor-descendant pairs, (aunt/uncle)-(niece/nephew) pairs, and in fact any pair of family members with a well-specified most recent common ancestor (that is known) have this relationship to one another. This word can be used for specifying the number of "great"'s in the title of a relationship between $x_1$ and $x_2$ (with some calculational forethought). The tree diagram can be more generic than a family tree though; thus cousinhood is just a way to put it into context/application and is not really essential to the meaning except through analogy. Notice the ordering of all terms; if the graph is directed, the arguments of the distance matters. The graph should probably be a tree locally if it is to be a well-defined relationship. $x_3$ is unchanged but $x_4$ is negated (multiplied by $-1$) by/under exchange of $x_1$ and $x_2$. The ordered pair $(x_3, x_4)$ is named "consanguistance between $x_1$ and $x_2$ (in that order)" by Curtis Franks. For a normal family tree and fixed $x_1$ therein, consanguistance produces countably many equivalence classes of nodes. It does not recognize the difference between half or full relatives, marriages/parentings are either unsupported (when $x_3 > 0$) or are reduced to be equivalent (when $x_3 = 0$ and $x_4 \neq 0$), and gender/sex are ignored/reduced to equivalence. The set of nodes $x_2$ with $x_3 = 0$ is called $x_1$'s (the subject's) genealogical line (id est: if $x_3 = 0$, then $x_1$ re'au'e ja se dzena $x_2$ according to the edge relation on the graph or $x_1 = x_2$); the set of nodes with $x_3 > 0$ are sibling/branch/side lines, which could be labelled and ordered, but doing so would be somewhat difficult with this word. This word focuses on the relationship between $x_1$ and $x_2$, not the relationship between each of them and A; for that, see ".{anseingu}". The underlying tree graph is, modulo an equivalence relation involving tseingu, a 'quipyew' tree graph (see "{grafnkipliiu}"). This concept is fairly unnatural and convoluted, so it is probably {malgli} except for the purpose of translations; in a natural, culturally-neutral Lojbanic context, ".anseingu" is preferred.

	Jargon:
		

	Gloss Keywords:
		Word: consanguinity values, In Sense: 
		Word: consanguistance, In Sense: C. Franks' neologism, genealogy
		Word: cousin degree, In Sense: 
		Word: cousin order, In Sense: ordinal of cousin relationship
		Word: cousin removal, In Sense: 
		Word: degree of removal, In Sense: cousin relationship
		Word: kinship number, In Sense: 

	Place Keywords:


You can go to <http://jbovlaste.lojban.org/dict/tseingu> to see it.