Béu : Chapter 3 : The Noun: Difference between revisions

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== ..... The ergative marker and word order==
{{Deletion|Staigard|Well I have moved all the data somewhere else}}


..


'''béu''' is an ergative language. About a quarter of the world languages are ergative or partly ergative. So let me explain what ergative means ...


In English it is  the order of the verb and the participants (arguments)  which shows who did what to who. In '''béu''' the order of the verb and the participants do not give this information. Rather the form of the participants changes. Namely the participant which initiates the action is given the suffix -'''s'''. For example ...
db-g7
 
'''glás bàu timpori''' = The woman has hit the man
 
'''glá bàus timpori''' = The man has hit the woman
 
By the way, we will call "that which initiates the action" the A argument, and "that which is affected by the action" the O argument. This terminology is used for convenience (after the manner of RMW Dixon).
 
But what about a verb that takes only one noun : an intransitive verb (we will call this lonely noun the S argument). Well in most languages the S argument is marked the same way as the A argument. However in a minority of languages the S argument is marked the same way as the O argument. These are called ergative languages.
 
'''béu''' is an ergative language.
 
In English only 2 orders are found. Namely ... SV and AVO ...  (where V stand for verb). However in '''béu''' you have what is called "free word order". This means that you can come across the following 8 orders ... SV, VS, AVO, AOV, VAO, OVA, OAV and VOA.
 
But actually in a piece of discourse, it is most likely that the S or A argument are old information and probably the topic (the thing that you have been going on about for some time). When this is the case they are dropped and the 8 sentence types shown above collapse into 3 sentence types. Namely ...  V(s), O V(a) and V(a) O<sup>*</sup>
 
<sup>*</sup>  V(s) represents a verb marked for the person/number of the S argument and V(a) represents a verb marked for the person/number of the A argument.
 
------
 
Note on ambitransitive verbs ...
 
In English there are some verbs that sometimes take one participant and sometimes involve two participants. For example "knit" or "turn". In English you know if the verb is appearing in its intransitive form if an extra argument turns up after the verb (that is ... an O argument has turned up) ... S and A appear the same in English.
 
Similarly in '''béu''' there are some verbs that sometimes take one participant and sometimes take two participants. For example '''mekeu''' "knit" or '''kwèu''' "turn". In '''béu''' you know if the verb is appearing in its intransitive form if an extra argument turns up with the ergative marker -'''s''' attached (that is ... an A argument has turned up) ... S and O appear the same in '''béu'''.
 
..
 
== ..... Possession & Existence==
 
..
 
The verb '''yái''' (to have, to own) indicates possession when used as a transitive verb. For example ...
 
'''jonos yór ama''' = John has an apple
 
'''jenes wèu dè yór''' = Jane owns that car
 
However '''yái''' is similar to '''mekeu''' and '''kwèu''' in that it can sometimes appear with only in participant. When this happens '''yái''' is acting as a verb of existence<sup>*</sup>. For example ...
 
'''yór''' ??? = there is a God
 
'''glavan yór''' = don't forget the reserves
 
However it is rare to use a verb of existence in a bare form as above, usually we are trying to convey existence in a certain place.
 
In '''béu''' the place is grammatically an adverb qualifying '''yái''' hence it must follow directly after the verb. For example ...
 
1) '''yúr ʔupain bode''' = "there are small birds in the tree" or possibly "there are small birds in a tree"
Notice that in English, it is common to rearrange the above sentence to "in the tree there are small birds" with no change of meaning.
 
This is not possible in '''béu'''. However (with a change of meaning) it is possible to say ...
 
2) '''bode yúr ʔupain''' = "the small birds are in the tree"
 
And the following example has the exact same meaning as the above ...
 
3) '''bode (sùr) ʔupain''' = "the small birds are in the tree"
 
And we can modify the above with a quantifying and get ...
 
4)'''è bode (sùr) ʔupain''' = "some small birds are in the tree" ... which means exactly the same as 1)
 
<sup>*</sup>English has no verb of existence as such, but uses the phrase "there is", "there are" etc. etc.
 
So to recap ...
 
1) and 4) ... existence relative to position ... indefinite object
 
2) and 3) ... existence relative to position ... definite object
 
A degree of redundancy is no bad thing.
 
..
 
== ..... Definiteness==
 
..
 
Actually the two common orders usually found in transitive sentences ( O V(a) and V(a) O ) are used to code definiteness. For example ...
 
1) '''glá timpori''' = he hit the woman (the woman is known to the addressee and (probably) known to the speaker)
 
In the above example the noun comes before the verb and is taken as definite. However If a noun comes after the verb it is indefinite  ...
 
2) '''timpori glá''' = he hit a woman (the woman is unknown to the addressee, whether she is known to the speaker is unspecified)
 
'''béu''' also has two other kinds of indefinite ...
 
3) '''timpori é glá''' = he hit some woman (the woman is unknown to the addressee and unknown to the speaker)
 
4) '''timpori glá fana''' = he hit a certain woman  (the woman is unknown to the addressee but known to the speaker)
 
'''fana''' literally means known. However the who that does this "knowing" can sometimes be a bit hazy. For example ...
 
She wants to marry a certain Norwegian ?? ... in this case the Norwegian is unknown to the addressee, presumably "she" is doing the "knowing", so in this case we would say whether the Norwegian is known to the speaker is unspecified.
 
So to recap ...
 
1) If the NP is before the main verb => NP known to addressee
 
2) If the NP is after the main verb => NP unknown to addressee
 
3) If the NP has '''é''' in front of it => NP unknown to speaker
 
4) If the NP has '''fana''' after it => NP known to speaker (or at least known to somebody ... you must consider the wider context) ... ('''fana''' = known ... '''fàu''' = to know)
 
..
 
== ..... Pronouns==
 
..
 
Below are the pronouns for the S or O arguments. This form can be considered the "unmarked form".
Pronouns are different from normal nouns in that their tones go from low to high as well the -'''s''' suffixation for the "unmarked" => "marked for ergativity" transition.
 
..
 
{| border=1
  |align=center| me
  |align=center| '''pà'''
  |align=center| us
  |align=center| '''yùa'''
  |-
  |align=center|
  |align=center|
  |align=center| us
  |align=center| '''wìa'''
  |-
  |align=center| you
  |align=center| '''gì'''
  |align=center| you
  |align=center| '''jè'''
  |-
  |align=center| him, her
  |align=center| '''ò'''
  |align=center| them
  |align=center| '''nù'''
  |-
  |align=center| it
  |align=center| '''ʃì'''
  |align=center| them
  |align=center| '''ʃì'''
    |}
 
..
 
Below are the pronouns for the A  arguments (i.e. the marked for ergativity arguments).
 
..
 
{| border=1
  |align=center| I
  |align=center| '''pás'''
  |align=center| we
  |align=center| '''yúas'''
  |-
  |align=center|
  |align=center|
  |align=center| we
  |align=center| '''wías'''
  |-
  |align=center| you
  |align=center| '''gís'''
  |align=center| you
  |align=center| '''jés'''
  |-
  |align=center| he, she
  |align=center| '''ós'''
  |align=center| they
  |align=center| '''nús'''
  |-
  |align=center| it
  |align=center| '''ʃís'''
  |align=center| they
  |align=center| '''ʃís'''
    |}
 
..
 
'''jè''' and '''jés''' are the second person plural forms.
 
'''yùa''' and '''yúas''' are first person exclusive forms. That is they exclude the person being talked to.
 
'''wìa''' and '''wías''' are first person inclusive forms. That is they include the person being talked to.
 
There is one other pronoun ... the reflexive pronoun '''tí'''. This is always an O argument. Notice that it is the only O argument with a high tone.
 
There is a strong tendency for it to come after the A argument. For example ...
 
'''jono tí timparu''' = john has not yet hit myself
 
This particle can be amalgamated to the infinitive to give a reflexive infinitive. For example ...
 
'''timpa''' = to hit ... '''titimpa''' = "to self-hit"/ "to hit oneself"/"to hit yourself"
 
..
 
== ..... The '''pilana'''==
 
..
 
We have just mentioned the ergative case. In total there are 17 cases (if you were to include the unmarked case as well there would be 18). They are called the '''pilana'''<sup>*</sup>.
 
in the '''béu''' linguistic tradition there are 17 '''pilana'''.
 
These are suffixed to a noun and show how that word stands in relation to the rest of the sentence.
 
<sup>*</sup>The word '''pilana''' is built up from ;-
 
'''pila''' (v) = to place, to position
 
'''pilana''' (a, n) = positioning, the positioner
 
..
 
=== ... Location===
 
..
 
The first 8 define location.
 
1) -'''pi''' = in
 
2) -'''la''' = on
 
3) -'''mau''' = above, over, on top of
 
4) -'''goi''' = below, under, underneath, beneath
 
5) -'''ce''' = this side of
 
6) -'''dua''' = beyond, at the far side of
 
7) -'''bene''' = right, at the right hand side of
 
8) -'''komo''' = left, on the left hand side of
 
Now these are used to give a location with respect to some object. For example …
 
'''nambopi''' = in the house
 
'''nambomau''' = on the house, over the house
 
Note ... in a lot of situations, where "on" would be used in English, "above" is used in '''béu'''. For example ...
 
John is on the mountain = "'''jono''' ('''sòr''') mountain'''mau'''"  not "'''jono''' ('''sòr''') mountain'''la'''"
 
..
 
=== ... Motion===
 
..
 
The next 2 specify motion.
 
9) -'''ye''' = to
 
10 -'''fi''' = from
 
Now these are used to give a motion with respect to some object. For example …
 
'''namboye''' = to the house
 
'''nambovi''' = from the house
 
..
 
=== ... Roll===
 
..
 
The next 4 define the roll that the noun plays in the sentence.
 
11) -'''tu''' = with, using
 
12) -'''ji''' = for, for the benefit of
 
13) -'''wo''' = about, with respect to
 
14) -'''s''' = “the ergative case”
 
'''bàus glaji nambo bundori kontotu''' = the man built the house for the woman with a hammer
 
'''gala bauwo catura''' = the women are talking about the man
 
There are a number of words which end in '''n'''. For example '''gan''' or -'''van''' are quite common derivational suffixes.
 
For these words, the suffix is -'''os'''. For example ...
 
'''flovanos dè pà''' ?? = that food made me ill
 
..
 
=== ... General location===
 
..
 
The next is a “general locative”.
 
15)  -'''n''' = at, on, in
 
'''glá (yú) pà ( sòr ) nambon''' = My wife is at home
 
'''flovan (yú) gì ( sòr ) pazban''' = Your food is on the table
 
'''jwado ( sòr ) ʔupain''' = The (big) bird is in the tree
 
For words ending in '''n''', the suffix is -'''on'''. For example ...
 
'''boloŋgai ( sòr ) flovanon''' = the flies are on the food
 
..
 
=== ... Hybrids of motion & position===
 
..
 
The last 2 define motion and position. They are sort of hybrids.
 
16) -'''lya''' = onto
 
17) -'''lfe''' = off
 
They have the forms '''alya''' and '''alfe''' when they must precede a NP.
 
..
 
=== ... The parts they play===
 
..
 
'''pilana''' of location phrases (i.e. nouns with 1 -> 8 or 15) can be considered adjectives if they come after a noun and adverbs if they come after a verb. They must come after a noun or a verb. Sometimes they come after the copula<sup>*</sup>. In this case they are adjectives. Now often the copula is dropped ... but if this dropping results in any ambiguity it can be readily "undropped".
 
'''pilana''' of motional phrases (i.e. nouns with 9, 10, 16 or 17) can be considered adverbs. They can come in any position because it is understood that they are qualifying the verb.
 
'''pilana''' phrases defining sentence rolls(i.e. nouns with 11, 12, 13 or 14) can come anywhere. They are considered nouns.
 
<sup>*</sup>Notice that in English, you can either say ... "a bird is in the tree" or "in the tree is a bird"
 
In '''béu''' only '''jwado (sòr) ʔupain''' is valid ... also note that in this case '''jwado''' is not definite because it is left of the verb. That rule doesn't work with the copula.
 
..
 
=== ... The two forms of the '''pilana'''===
 
..
 
In all the above examples the noun that the '''pilana''' qualifies is a single word. However when the '''pilana''' qualifies a NP the '''pilana''' is not a suffix but appears as an independent word. This particle comes before the NP. For example …
 
'''nambodua''' = beyond the house
 
'''dùa nambo yinkai hauʔe''' = beyond the house of the pretty girl
 
Below are the forms that the '''pilana''' take when appearing as independent words ...
 
1) '''pí''' = in
 
2) '''là''' = on
 
3) '''máu''' = above
 
4) '''gòi''' = below
 
5) '''cè''' = this side of
 
6) '''dùa''' = beyond, at the far side of
 
7) '''bene''' = the right hand side of
 
8) '''komo''' = the left hand side of
 
9) '''yé''' = to
 
10 '''fì''' = from
 
11) '''tù''' = with, using
 
12) '''jì''' = for
 
13) '''wò''' = about, with respect to
 
14) '''só''' = “the ergative case”
 
15) '''nà''' = at, in, on
 
16) '''alya''' = onto
 
17) '''alfe''' = off
 
..
 
=== ... '''pilana''' truncation in the script===
 
..
 
Another thing that sets the pilana apart from other particles, is that they are never written in full. Whether appearing as affixes or independent words, the vowels are always dropped.
 
[[Image:TW_224.png]]
 
——————————————————————————
 
?? OK two chapters later we introduce the relativizer and then show how the ‘’’pilana’’’ affixes to the relativizer ??
 
..
 
== ..... Noun phrases==
 
..
 
There are 4 types of noun phrase in '''béu''' ...
 
..
 
1) The noun phrase for countable nouns
 
2) The noun phrase for uncountable nouns
 
3) The noun phrase for pronouns
 
4) The noun phrase for verbs
 
5) The noun phrase for places
 
..
 
From now on I will not be talking about "noun phrase", but will be using the '''béu''' term '''fandaunyo'''.
 
'''fandau''' = noun<sup>*</sup>
 
'''fandauza'''<sup>**</sup> = "a noun phrase"
 
'''fandaunyo'''<sup>***</sup> = "a noun or a noun phrase"
 
<sup>*</sup>The usual word building process would give '''fanyədau''' (from '''nandau''' "word" and '''fanyo''' "thing/object"). However in this particular word, there has been a further contraction to '''fandau'''.
 
<sup>**</sup> the suffix -'''za''', is a suffix used to give the meaning "something more complicated than the basic word".
 
<sup>***</sup> the suffix -'''nyo''', is a suffix used to give the meaning "something more complicated than the basic word OR the basic word''.
 
..
 
=== ... The countable nouns fandauza===
 
..
 
It can consist of ... (1) the emphatic particle ... (2) a specifier '''koiʒi''' ... (3) a number ... (4) the head '''hua''' ... (5) adjectives '''saidau''' ... (6) a determiner ... (7) a question word ... (8) a relative clause.  Only the head is mandatory.
 
Actually there are quite a few restrictions. For example (7) would never occurs with (8)    .... mmmh why did I insert "would" here ??
 
Many restrictions between (2) and (3)
 
..
 
==== .. The question words====
 
..
 
The set of possible question word (within a NP) is very small. Only three ... '''nái''' "which", '''láu''' "how much" or "how many", '''kái''' "what kind of".
 
..
 
==== .. The determiners====
 
..
 
The set of possible determiners is very small. Only two ... '''dí''' "this", or '''dè''' "that".
 
..
 
==== .. The adjectives====
 
..
 
Not much to say about this one, you can string together as many as you like ... the same as in English. Also genitives are put in this slot. A genitive is a word derived from a noun by the suffixing of -'''n''' (or -'''on''') which indicates possession<sup>*</sup>. Genitives always come after the regular adjective.
 
<sup>*</sup>Actually it can also stand for a location ... where the NP is at.
 
..
 
==== .. The head====
 
..
 
This is usually a noun. However it can also be an adjective. When it is an adjective it has concrete reference instead of representing a quality (as happens often in English). For instance, when talking about ... say ... a photograph, you could say "the green is too dark". In this sentence "the green" is a NP meaning the quality of being green. In '''béu''' if green is used as the head of a NP it always means "the green one" : "the person/thing that is green".
 
In '''béu''', '''geunai''' would be used in a sentence such as "the green is too dark".
 
'''gèu''' = "green" or "the green one"
 
'''geumai''' = "greenness"
 
'''saco''' = "slow" or "the slow one"
 
'''saconi''' = "slowness"
 
Notice that the suffix has two forms ... depending upon whether the base adjective has one syllable or more than one syllable.
 
Sometimes the head is a determiner. In these cases the NP is understood to refer to some noun ... but it is not spoken ... it is just understood by all parties. In these cases the determiners undergo a change of form ...
 
'''dí'''  =>  '''adi''' = "this one"
 
'''dè'''  =>  '''ade''' = "that one"
 
'''nái'''  =>  '''anai''' = "which one"
 
Related to '''dí''' and '''dè''' are the two nouns '''dían''' (here) and '''dèn''' (there). Although nouns, they never occur with the locative case or the ergative case.
 
..
 
==== .. The specifiers====
 
..
 
The specifiers = '''nandau.a koiʒi''' or just '''koiʒia'''
 
'''koiʒi''' actually means "preface" as in "the preface to the book"
 
It also means forewarning or harbinger ... as in "that slight tremor on Tuesday night, was '''koizi''' of the quake on Friday"
 
Immediately before the core you can have a specifier.
 
There consist of the following ...
 
..
 
'''kyà''' = no, '''í''' = any, '''é''' = some(for singular noun), '''yú''' = every, '''è''' = some(for plural nouns), '''nò''' = plural, '''ù''' = all, '''auva''' => '''ataitauta''' = 2=>1727, '''uwe''' = many, '''iyo''' = few, '''ege''' = more, '''ozo''' = less.
 
..
 
Notice that the specifier that implies zero number has low tone, the 3 specifiers that imply singular* number have high tone and the 3 specifiers that imply plural* number have low tone.
 
.* Well this is true for the English translations anyway. (Side Note ... Actually I am not so sure about the "logic" of my little scheme. Also I would like to look into how a spectrum of other languages use specifiers)
 
Also note that '''nò''' is a noun (meaning "number") as well as a particle that denotes plurality. In the '''béu''' mathematical tradition, '''nò''' means a number from 2 -> 1727 only (of course there are expressions for expanding the concept to integers, rational numbers etc. etc.)
 
After a '''koiʒi''' the head is always in its base form with regard to number. For example ...
 
..
 
'''é glà''' = some woman
 
'''è glà''' = some women ... not *'''è gala'''
 
'''í toti''' = any child .......... not *'''í totai'''
 
..
 
The are 4 cases where you can have two '''koiʒi''' together ... '''é nò''' or when you have '''í''' followed by a number greater than one. For example ...
 
..
 
'''é nò toti''' = some child or children ... this is a contraction of "'''é toto''' OR '''nò toti'''"
 
'''í auva toti''' = any two children
 
'''ege auva toti''' = two more children
 
'''ozo auva toti''' = two less children
 
..
 
==== .. Specifiers X determiners====
 
..
 
Below is a table showing all the specifiers plus a countable noun plus the proximal determiner "this".
 
..
 
{| border=1
  |align=center|  1
  |align=left| '''ù báu dí'''
  |align=left| all of these men OR all these men
  |-
  |align=center| 2
  |align=left| '''uwe báu dí'''
  |align=left| many of these men
  |-
  |align=center| 3
  |align=left| '''iyo báu dí'''
  |align=left| few of these men OR a few of these men
  |-
  |align=center| 4
  |align=left| '''auva báu dí'''
  |align=left| two of these men => '''ataitauta báu dí''' ... 1727 of these men
  |-
  |align=center| 5
  |align=left| '''kyà báu dí'''
  |align=left| none of these men
  |-
  |align=center| 6
  |align=left| '''í báu dí'''
  |align=left| any of these men OR any one of these men
  |-
  |align=center| 7
  |align=left| '''é báu dí'''
  |align=left| one of these men
  |-
  |align=center| - 8 -
  |align=left| '''è báu dí'''
  |align=left| some of these men
  |-
  |align=center| 9
  |align=left| '''yú báu dí'''
  |align=left| every one of these men
  |-
  |align=center| 10
  |align=left| '''nò báu dí'''
  |align=left| several of these men OR several of these men here
  |-
  |align=center| 11
  |align=left| '''é nò báu dí'''
  |align=left| one or more of these men
  |-
  |align=center| 12
  |align=left| '''í auva báu dí''' ...
  |align=left| any 2 of these men =>  '''í ataitauta báu dí''' ... any 1727 of these men 
  |}
 
..
 
The above table is worth discussing ... for what it tells us about English as much as anything else.
 
..
 
One line 1 ... I do not know why "all these men" is acceptable ... on every other line "of" is needed (to think about)
 
Similarly on line 3 ... I do not know why "a few" is a valid alternative.
 
Notice that *'''aja báu dí''' does not exist. It is illegal. "one of these men" is expressed on line 7. '''aja''' only used in counting ???
 
I should think more on the semantic difference between line 10 and line 8. ???
 
line 1 and line 9 are interesting. Every language has a word corresponding to "every" (or "each", same same) and a word corresponding to "all". Especially when the NP is S or A, "all" emphasises the unity of the action, while "every" emphasises the separateness of the actions. Now of course (maybe in most cases) this dichotomy is not needed. It seems to me, that in that case, English uses "every" as the default case (the Scandinavian languages use "all" as the default ??? ). In '''béu''' the default is "all" '''ù'''.
 
On line 9, it seems that "one" adds emphasis to the "every". Probably, not so long ago, "every" was valid by itself. The meaning of this word (in English anyway) seems particularly prone to picking up other elements (for the sake of emphasis) with a corresponding lost of power for the basic word when it occurs alone. (From Etymonline EVERY = early 13c., contraction of Old English æfre ælc "each of a group," literally "ever each" (Chaucer's everich), from each with ever added for emphasis. The word still is felt to want emphasis; as in Modern English every last ..., every single ..., etc.)
 
..
 
This table is also valid for the distal determiner "that". For the third determiner ("which") the table is much truncated ...
 
..
 
{|
  |align=center| 1
  |align=center| '''nò báu nái'''
  |align=left| which men
  |-
  |align=center| 2
  |align=center| ... '''auva báu nái'''
  |align=center| which two men => '''ataitauta báu nái''' which 1727 of these men
  |}
 
..
 
Below I have reproduced the above two tables for when the noun is dropped (but understood as background information). It is quite trivial to generate the below tables. Apart from lines 8 and 10, just delete "men" from the English phrase and '''báu''' from the '''béu''' phrase. (I must think about why 8 and 10 are different ???)
 
..
 
{| border=1
  |align=center|  1
  |align=left| '''ù dí'''
  |align=left| all of these OR all these
  |-
  |align=center| 2
  |align=left| '''uwe dí'''
  |align=left| many of these
  |-
  |align=center| 3
  |align=left| '''iyo dí'''
  |align=left| few of these OR a few of these
  |-
  |align=center| 4
  |align=left| '''auva dí'''
  |align=left| 2 of these => '''ataitauta dí''' ... 1727 of these
  |-
  |align=center| 5
  |align=left| '''kyà dí'''
  |align=left| none of these
  |-
  |align=center| 6
  |align=left| '''í dí'''
  |align=left| any of these OR any one of these
  |-
  |align=center| 7
  |align=left| '''é dí'''
  |align=left| one of these
  |-
  |align=center| - 8 -
  |align=left| '''è dí'''
  |align=left| some of these OR several of these
  |-
  |align=center| 9
  |align=left| '''yú dí'''
  |align=left| every one of these
  |-
  |align=center| 10
  |align=left| '''nò dí'''
  |align=left| these NOT several of these
  |-
  |align=center| 11
  |align=left| '''é nò dí'''
  |align=left| one or more of these
  |-
  |align=center| 12
  |align=left| '''í auva dí''' ...
  |align=left| any 2 of these =>  '''í ataitauta dí''' ... any 1727 of these 
  |}
 
..
 
{|
  |align=center| 1
  |align=center| '''nò nái'''
  |align=left| which ones
  |-
  |align=center| 2
  |align=center| ... '''auva nái'''
  |align=center| which two => '''ataitauta nái''' which 1727
  |}
 
..
 
In the last section we introduced the rule, that when a determiner is the head, then the determiner changes form (an '''a''' is prefixed to it)
 
Now we must introduce an exception to that rule ... when you have a specifier just to the left of a determiner (in this conjunction, the determiner MUST be the head) the determiner takes its original form.
 
..
 
==== .. The emphatic particle====
 
..
 
Now even before the specifiers it is possible to have an element. This is the emphatic particle '''á'''.
 
This is also used as a sort of vocative case. Not really obligatory but used before a persons name when you are trying o get their attention.
 
When this particle comes directly in front of '''adi''', '''ade''' and '''anai''' an amalgamation takes place ( '''á adi''' etc etc are in fact illegal)
 
'''á adi'''  =>  '''ádí'''  = "this one!"
 
'''á ade'''  =>  '''ádé''' = "that one!"
 
'''á anai'''  =>  '''ánái''' = "which one!"
 
These three words break the rule that only monosyllabic words can have tone. These 3 words are the only exception to that rule.
 
By the way, emphasis is always used when contrasting two things. as in "this is wet, but that is dry" = '''ádí nucoi, ádé mideu'''
 
When written using the '''béu''' writing system, only the initial '''a''' is given the dot on the RHS which indicates high tone. The second syllable is unmarked.
 
..
 
==== .. The relative clause====
 
..
 
'''béu''' relative clauses work pretty much the same as English relative clauses.
 
'''bàu à glás timpori''' = the man whom the woman hit
 
'''bàu às glá timpori''' = the man who hit the woman
 
The relativizer is '''à''' or '''às'''. '''à''' if the NP has an S or O role within the relative clause ... '''às''' if the NP has an A role within the relative clause ... '''béu''' being an ergative language.
 
..
 
=== ... The uncountable noun fandauza===
 
..
 
It can consist of ... (1) "the holder"  ... (2) the head '''hua''' ... (3) adjectives '''saidau''' ... (4) a determiner '''didedau'''. Only the head is mandatory.
 
'''auva hoŋko ʔazwo pona dí''' = two cups of this hot milk
 
Note ... even though we have no word "of" ... there is no ambiguity. If the above was two '''fandaunyo''', there would either be a pause between '''hoŋko''' and '''ʔazwo''' (for example if one was A and one was the O argument), or they would be separated by "and" '''wí''' if they were separate '''fandaunyo''' but comprised only one argument.
 
In this respect '''béu''' takes after Indonesian. For example ... five big bags of this black rice = lima tas besar beras hitam ini (literally ... five bag big rice black this)
 
Note that the "holder ???" can be a complete countable noun '''fandaunyo''' in itself.
 
lima tas besar beras hitam ini
 
(5 bag big) (rice black this)  .... Usually languages have a linker, particular when the phrases are long. For example Chinese "de", English "of", Japanese "no". '''béu''' has no linker (similar to Indonesian) ... (however '''à''' or '''fí''' could be pressed into service if needed ??? )
 
(SideNote) ... '''ʔazwe''' = to suck ... '''ʔazweye''' = to suckle, to offer the breast
 
..
 
=== ... The pronoun fandauza===
 
..
 
Below the forms of the '''béu''' pronouns are the given for when the pronoun represent the S or O argument. This form can be considered the "base form" or the "unmarked form".
 
..
 
{| border=1
  |align=center| me
  |align=center| '''pà'''
  |align=center| us
  |align=center| '''yùa'''
  |-
  |align=center|
  |align=center|
  |align=center| us
  |align=center| '''wìa'''
  |-
  |align=center| you
  |align=center| '''gì'''
  |align=center| you (plural)
  |align=center| '''jè'''
  |-
  |align=center| him, her
  |align=center| '''ò'''
  |align=center| them
  |align=center| '''nù'''
  |-
  |align=center| it
  |align=center| '''ʃì'''
  |align=center| them
  |align=center| '''ʃì'''
    |}
 
..
 
When they are used as an S arguments (i.e. with an intransitive verb), it might be better to translate these pronouns  as "I myself", "you yourself" etc. etc.
 
..
 
There is another pronoun but this one only occurs as an O argument. When a action is performed by somebody or something on themselves we use '''tí''' to represent the O argument.
 
Just as in English, we do not say "*I hit me", but "I hit myself" ... in '''béu''' we do not say '''*pás pà timpari''', but '''pás tí timpari'''.
..
 
Below is a table with '''nù''' "they" occurring with the allowed specifiers. '''yùa''', '''wìa''', '''jè''' and '''ʃì''' pattern in a similar way.
 
{|
  |align=center| 1
  |align=center| '''í nù'''
  |align=left| any of them
  |-
  |align=center| 2
  |align=center| '''é nù'''
  |align=center| one of them
  |-
  |align=center| 3
  |align=center| '''yú nù'''
  |align=center| every one of them
  |-
  |align=center| 4
  |align=center| '''è nù'''
  |align=left| some of them
  |-
  |align=center| 5
  |align=center| '''kyà nù'''
  |align=center| none of them
  |-
  |align=center| 6
  |align=center| '''ù nù'''
  |align=center| all of them
  |-
  |align=center| 7
  |align=center| '''kyà nù'''
  |align=center| none of them
  |-
  |align=center| 8
  |align=center| '''í auva nù'''
  |align=center| any two of them
  |-
  |align=center| 9
  |align=center| '''ege nù'''
  |align=center| more of them
  |-
  |align=center| 10
  |align=center| '''ozo nù'''
  |align=center| less of them
  |}
 
Nothing really surprising in the above. However I thought that I should lay it out in black and white. (what about '''emo''' "the most" and '''omo''' "the least" ??)
 
..
 
Because the person and number of the A or S argument is expressed in the actual verb. The above are usually dropped (however the third person pronoun is occasionally retained to give the distinction between human and non-human subject) so when the pronouns above are come across, it might be better to translate them as "I myself", "you yourself" etc. etc.
 
 
It is a rule that '''tí''' must follow the A argument (if it is overtly expressed ... i.e. by a free-standing pronoun and not just in the verb)
 
LINGUISTIC JARGON ... "myself" is what is called a "reflexive pronoun". In English there are many reflexive pronouns (i.e. "myself", "yourself", "herself", etc. etc.) : in '''béu''' only one.
 
..
 
 
 
Below the form of the '''béu''' pronouns is the given for when the pronoun is the A argument.
 
..
 
{| border=1
  |align=center| I
  |align=center| '''pás'''
  |align=center| we  (includes "you")
  |align=center| '''yúas'''
  |-
  |align=center|
  |align=center|
  |align=center| we (doesn't include "you")
  |align=center| '''wías'''
  |-
  |align=center| you
  |align=center| '''gís'''
  |align=center| you (plural)
  |align=center| '''jés'''
  |-
  |align=center| he, she
  |align=center| '''ós'''
  |align=center| they
  |align=center| '''nús'''
  |-
  |align=center| it
  |align=center| '''ʃís'''
  |align=center| they
  |align=center| '''ʃís'''
    |}
 
..
 
=== ... The sandaunyo===
 
..
 
The '''sandaunyo''' is similar to the '''fandaunyo''' but built around a '''sandau''' as opposed to a '''fandau'''.
 
'''sandau''' = a verbal noun, an infinitive, a maSdar .... whatever you want to call it. Ultimately derived from the word '''sanyo''' which means "an event". ('''fanyo''' and '''sanyo''' are equivalent to the Japanese "mono" and "koto"). The word for "verb" is '''jaudau'''. Of course there is a one to one relationship between the '''jaudau''' and the '''sandau''' (as in English if you have an infinitive verb form, you are of course going to have a corresponding finite verb form).
 
In the '''sandaunyo''' there are fixed word orders. They are VS and VAO. If there are any adverbs or locatives they follow the S or the O. For example ...
 
..
 
'''somwo pà''' = "my sleep"
 
'''timpa báu glà''' = the man's hitting of the woman ... Note that '''báu''' does not have the ergative suffix -'''s'''
 
'''solbe pà moze pona sacowe rì kéu''' = My drinking the cold water quickly was bad
 
'''timpwa glà''' = the woman being struck ... Note ... to form an passive, you infix '''w'''.
 
'''solbwe moze rì kéu''' = The drinking of the water was bad
 
..
 
== ..... The '''hipeza'''==
 
..
 
A '''hipeza''' could be translated as "infinitive phrase"
 
Now a '''hipe''' is a type of nouns. So when determiners etc. etc. are added on they must conform to the rules for regular NP's.
 
However they differ in that they never take plurals and are never possessed (that is followed by '''yú''' ).
 
Now on occasion S, O and A arguments must appear in a '''hipeza'''.
 
Now in the '''hipeza''' '''béu''' is quite strict on how these arguments can be added.
 
1) The S or A argument (if it exists or is mentioned) must come before the '''hipe'''. It is preceded by '''hí''' (the same particle that indicates the agent in the passive construction)
 
2) The O argument (if it exists or is mentioned) must come after the '''hipe'''. It is followed by '''jwìa''' (possibly related to '''jwèu''' ... "to endure" ( but if it was this would mean this construction takes two subjects ??)
 
Often in fast speech, '''hí''' and '''jwìa''' are dropped, but they are always available to make things clear.
 
----------
 
English has quite a number of different ways of including S, O and A arguments with the infinitive. See below ...
 
1) Attila's destruction of Rome
 
2) Rome's destruction (by Attila)
 
3) The destruction of Rome (by Attila)
 
-----
 
Tie in the participle phrase (equivalent to Dixon's complement clause)  ???
 
???  Other argument relating to time, place and manner come after the S, O and A arguments ... not sure where these arguments come in, if in fact they are allowed. ???
 
..
 
==..... The numbers==
 
..
 
 
'''béu''' has a unique word for every number from 1 up to 1727<sub>10</sub>....
 
..
 
{| border=1
  |align=center| 543<sub>12</sub>
  |align=center| '''idaigauba'''
  |-
  |align=center| 503<sub>12</sub>
  |align=center| '''idaiba'''
  |-
  |align=center| 640<sub>12</sub>
  |align=center| '''ulaigau'''
  |-
  |align=center| 72<sub>12</sub>
  |align=center|  '''icauva'''
  |-
  |align=center| 6<sub>12</sub>
  |align=center| '''ela'''
  |}
 
..
 
===... Building up these words and pronouncing them===
 
..
 
These 1727 words are made up from smaller elements, using the duodecimal system. These smaller elements are shown in the table below ...
 
..
 
{| border=1
  |align=right| one =
  |align=left| '''aja'''
  |align=right| 10<sub>12</sub> =
  |align=left| '''ajau'''
  |align=right| 100<sub>12</sub> =
  |align=left| '''ajai'''
  |-
  |align=right| two =
  |align=left|  '''auva'''
  |align=right| 20<sub>12</sub> =
  |align=left| '''uvau'''
  |align=right| 200<sub>12</sub> =
  |align=left| '''uvai'''
  |-
  |align=right| three =
  |align=left| '''aiba'''
  |align=right| 30<sub>12</sub> =
  |align=left| '''ibau'''
  |align=right| 300<sub>12</sub> =
  |align=left| '''ibai'''
  |-
  |align=right| four =
  |align=left| '''uga'''
  |align=right| 40<sub>12</sub> =
  |align=left| '''ugau'''
  |align=right| 400<sub>12</sub> =
  |align=left| '''agai'''
  |-
  |align=right| five =
  |align=left| '''ida'''
  |align=right| 50<sub>12</sub> =
  |align=left| '''idau'''
  |align=right| 500<sub>12</sub> =
  |align=left| '''idai'''
  |-
  |align=right| six =
  |align=left| '''ela'''
  |align=right| 60<sub>12</sub> =
  |align=left| '''ulau'''
  |align=right| 600<sub>12</sub> =
  |align=left| '''ulai'''
  |-
  |align=right| seven =
  |align=left|  '''oica'''
  |align=right| 70<sub>12</sub> =
  |align=left| '''icau'''
  |align=right| 700<sub>12</sub> =
  |align=left| '''icai'''
  |-
  |align=right| eight =
  |align=left| '''eza'''
  |align=right| 80<sub>12</sub> =
  |align=left| '''ezau'''
  |align=right| 800<sub>12</sub> =
  |align=left| '''ezai'''
  |-
  |align=right| nine =
  |align=left| '''oka'''
  |align=right| 90<sub>12</sub> =
  |align=left| '''okau'''
  |align=right| 900<sub>12</sub> =
  |align=left| '''okai'''
  |-
  |align=right| ten =
  |align=left| '''iapa'''
  |align=right| 10x12 =
  |align=left| '''apau'''
  |align=right| 10x12x12 =
  |align=left| '''apai'''
  |-
  |align=right| eleven =
  |align=left| '''uata'''
  |align=right| ............. 11x12 =
  |align=left| '''atau'''
  |align=right| ............. 11x12x12 =
  |align=left| '''atai'''
  |}
 
 
You will noticed that 12 numbers over eleven have been shortened. For example the "regular" form for 20 would be  '''auvau''', but this is actually '''uvau'''.
 
Also the number 6, '''ela''' has been shortened. This would have been '''eula''' if everything was perfectly regular.
 
In the above table, 10 is actually, of course 12 : 90 is (9x12)+0 => 108 etc. etc.
 
..
 
===... How written when in a "textblock"===
 
..
 
Numbers are never written out in full. Within "textblocks" they are written using a system based on the consonants within the number. When "free" they are expressed by symbols based on the Western Mathematical Tradition.
 
Below is how five numbers (given already, above) would appear within a textblock"
 
..
 
[[Image:TW_210.png]]
 
..
 
It can be seen that all the vowels are dropped and there is a horizontal line inserted in the top right of the character. The symbol for '''h''' is used for inserting zeroes (This '''h''' symbol will never be pronounced).
 
If you had a leading zero you would use the word  '''jù'''. 007 would be '''jù jù oica''' (three words)
 
To deal with a telephone number, you would lump the numbers in threes (any leading zero or zeroes by themselves though) and outspeak the numbers. If you were left with a single digit (say 4) it would be pronounced '''agai'''. If you were to pronounce it '''uga''', it would of course mean 004. Also you would probably add the particle '''dù''' at the end. This means "exactly" (or it can mean the speaker has finished outspeaking the number)
 
..
 
===... Fractional and ordinal numbers===
 
..
 
To get an fractional number (regarded as specifiers ... as all numbers are) you just attach '''s-''' to the front of the cardinal number. So we have ;-
 
..
 
{| border=1
  |align=center| a unit
  |align=center| '''saja'''
  |-
  |align=center| a half
  |align=center| '''sauva'''
  |-
  |align=center| a third
  |align=center| '''saiba'''
  |-
  |align=center| a quarter
  |align=center|  '''sida'''
  |-
  |align=center| etc.
  |align=center| etc.
  |}
 
..
 
These are fully numbers. They are written in the same way as numbers, except the have a squiggle above them. The squiggle looks like an "8" on its side that hasn't fully closed.
 
..
 
To get an ordinal number (regarded as adjectives) you just attach '''n-''' to the front of the cardinal number. So we have ;-
 
..
 
{| border=1
  |align=center| first
  |align=center| '''naja'''
  |-
  |align=center| second
  |align=center| '''nauva'''
  |-
  |align=center| third
  |align=center| '''naiba'''
  |-
  |align=center| fourth
  |align=center|  '''nida'''
  |-
  |align=center| etc.
  |align=center| etc.
  |}
 
..
 
May be this form originally came from an amalgamation of '''nò''' plus the number.
 
These forms are adjectives 100% and are always written out in full.
 
..
 
To get (I don't know what these are called) (regarded as a noun) you just attach '''b-''' to the front of the cardinal number. So we have ;-
 
..
 
{| border=1
  |align=center| alone, single
  |align=center| '''baja'''
  |-
  |align=center| a double, a twosome, a duality
  |align=center| '''bauva'''
  |-
  |align=center| a threesome, a trinity
  |align=center| '''baiba'''
  |-
  |align=center| a foursome, a quartet
  |align=center|  '''bida'''
  |-
  |align=center| etc.
  |align=center| etc.
  |}
 
..
 
Note '''bajai''' = lonely
 
..
 
===... How written when "free"===
 
..
 
== ..... Punctuation and page layout==
 
..
 
The letters in a word are always contiguous, that is there is always a line running right through the word. Writing is firstly from top to bottom and secondly from left to right.
 
Between words there is a small break in the line. See the figure below ...
 
..
 
[[Image:TW_204.jpg]]
 
..
 
When you have items listed, '''béu''' is exactly the same as English : there is a pause between every item. A pause is represented by a gap in the writing system. See the figure below ...
 
..
 
[[Image:TW_203.jpg]]
 
..
 
By the way, the last two items on the list don't have a pause but are separated by '''wí''' "and".
 
..
 
It is also a requirement of '''béu''' grammar that any NP's that are adjacent to each other, have a pause between them. Hence ...
 
..
 
[[Image:TW_205.jpg]]
 
..
 
The gaps in the writing system reflect exactly where pauses occur. So in a passage, where it would be appropriate for a speaker to take a breath, you will find a corresponding "gap".
 
Single gaps are very common. Occasionally you can have "double gaps" and even "treble gaps". These rare creatures represent "pregnant pauses" which are sometimes used for comic effect.
 
..
 
[[Image:TW_202.jpg]]
 
..
 
There is also a punctuation mark called the "sunmark". This is basically a full-stop.
 
 
[[Image:TW_201.jpg]]
 
..
 
In a normal narrative, everything is written in "textblocks". See figure below ...
 
..
 
[[Image:Blocktext.png]]
 
..
 
Textblocks fit in between "rails" about 4 inches apart. The width of a block should be between 60% and 90% <sup>*</sup> of the block height. Of course it is best to start a new block when the scene of the narrative changes or there is some discontinuity of the action, but this is not always possible.
 
There is no way to split a word between two lines (as we can do in the West by using two hyphens). If a line (or should I say column) ends in a "sunmark", the next column will begin with a sunmark.
 
The first text block starts at the top left (as you would expect). The second textblock starts below where the first text block stops. In fact the vertical space between the stop and the start of the two textblocks is equal to the horizontal "interblockspace" (see the figure above).
 
When you come to the end of the page (you will have some sort of margin of course and not go all the way to the edge), you simply continue the block on the LHS of the next rail (or page).
 
There are two sizes for books. For all hardback books the size is about 8 inches by about 11 inches. For all paperback books the size is about 5 inches by about 8 inches. They are stored as shown in the figure below.
 
..
 
[[Image:Books.png]]
 
..
 
Unlike books produced in the West, these books are held with the spine horizontal when being read. The hardback page has two "rails" per page (i.e. three dark lines).
 
On the paperback book, the title is written on the spine and on the front of the book. On the hardback book the title is written on the front, also there is a flap that slides into the spine. However when the book is stored on a shelf, it is pulled out and hangs down. Hence the hardback books can be easily located, even when they are in the bookshelf.
 
In every textblock, one word is highlighted. It is usually a noun and the more iconic the better (for example Elephant or Mouse are highly iconic). This word is highlighted in a red colour. Sometimes an active verb is highlighted. These are highlighted in a green colour. Sometimes an adjective is highlighted ... orange colour. Sometimes an infinitive is highlighted ... pink colour
 
A book will be divided into chapters. A chapter will have a number and usually a title as well. Either at the end of the book or just after the chapter, there will be a page, in which all the highlighted words for a chapter are listed in order. Instead of referencing things by page number, things are reference by chapter and textblock (indictated by the highlighted word(s) ).
 
Any particular word in a book can be reference by 5 parameters ...
 
1) "title of book"
 
2) "title of chapter" (or "number of chapter")
 
3) the textblocks position (i.e. textblock number 5) plus the highlighted word(s)
 
4) the number of the sunmark (the number zero is used if the word being referenced is before the first sunmark
 
5) the number of the word
 
 
Also when direct dialogue is quoted ... the words of the first protagonist is highlighted in yellow ... those of the second in blue ??
 
-----
 
<sup>*</sup> Occasionally very narrow blocks can not be avoided. And of course in mathematical/scientific tracts the tracts are all over the place ... interspersed with diagrams and what have you.
 
..
 
== ..... Arithmetic==
 
..
 
'''nogau''' = arithmetic
 
[[Image:TW_215.png]]
 
 
In the above table you can see how the symbol for the numbers 1 to 11 are derived. In the first column are how the numbers are pronounced in '''béu'''. In the second column is the symbol used for the single consonant which exists in the heart of every number. In the third column you can see how this consonant is modified slightly to produce the symbol used for each number. All these number symbols have a "number bar" extending from the top of the symbol towards the right. Only the first number in a string will have this "number bar".
 
On the left you can see how the symbols for the numbers -1 to -11 are derived. As you can see for the negative numbers there is a number bar extending from from the top of the symbol towards the left.
 
Notice that the forms for 1, 6, 7 and 9 have been modified slightly before the "number bar" has been added.
 
[[Image:TW_216.png]]
 
Above you can see some interesting symbols. These are used to extend the range of the '''béu''' number system (remember the basic system only covers 1-> 1727).
 
Also there are to special symbols that mean "exactly" and "approximately" these are often appended to a number string.
 
To give you an idea of how they are used, I have given you a very big number below.
 
[[Image:TW_214.png]]
 
'''aja huŋgu uvaila nàin ezaitauba wúa idauja omba idaizaupa yanfa elaibau mulu idaidauka ʔiwetu elaivau dù'''
 
Which is  => 1,206,8E3,051.58T,630,559,62 ... E represents eleven and T represents ten ... remember the number is in base 12.
 
O.K. this number has a ridiculous dynamic range. But this is for demonstration purposes only ... if you can handle this number you can handle any number.
 
Now the 7 "placeholders"<sup>*</sup> are not really thought of as real numbers, they are markers only. Used in the same way that we would say "point" or "decimal" when reeling off a number.
 
One further point of note ...
 
If you wanted to express a number represented by digits 2->4 from the LHS of the monster, you would say '''auvaidaula nàin''' .... the same way as we have in the Western European tradition.
However if you wanted to express a number represented digits 6 ->8 from the RHS of the monster, you would say '''yanfa elaibau'''  .... not the way we do it.  This is like saying "milli 630 volts" instead of "630 microvolts".
 
[[Image:TW_211.png]]
 
In the table above is shown the method for writing imaginary numbers and fractions.
 
Also the method of laying out the 4 basic arithmetic operations are shown.
 
A number can be made imaginary by adding a further stroke that touches the "number bar". And to get a fraction, you add a stroke just above the number. This stroke looks a bit like a small "8" on its side.
 
Notice that there is a special sign to indicate addition ('''+'''), and also a special sign for equality ('''=>''').
 
As you can see above, there is no special sign for the multiplication or division operation. The numbers are simply written one beside the other.
 
Division is the same as multiplication except that the denominator is in "fractional form".
 
-6 is pronounced '''komo ela''' ... '''komo''' meaning left or negative.
 
By the way '''bene''' means right (as in right-hand-side) or positive.
 
4i is pronounced '''uga haspia'''<sup>**</sup> ... and what does '''haspia''' mean, well it is the name of the little squiggle that touches the number bar, for one thing.
 
-4i is pronounced '''komo uga haspia'''
 
-1/10 is pronounced '''komo diapa'''
 
i/4 is pronounced '''duga haspia'''
 
<sup>*</sup>Actually these placeholder symbols are named after 6 living things. This does not lead to confusion tho'. When you are doing arithmetic these concrete meanings are totally bleached.
 
<sup>**</sup>This can also be pronounced as '''bene uga haspia'''. However usually the '''bene''' bit is deemed redundent.
 
..
 
== ..... The new arithmetic==
 
[[Image:TW_262.png]]
 
 
== ..... Algebra==
 
..
 
'''haijogu''' = arithmetic
 
In the West we use '''x''' '''y''' and '''z''' to represent variables. In '''béu''' we have 3 special symbols to represent these three variables. The names of these symbols are '''haigan''', '''jogan''' and '''gugan'''
 
Also in '''béu''' there are certain conventions to adhere to. If we are considering one dimension only, it is invariably called '''haigan''' and is represented by an up and down the page (see the diagram below).
 
If we are considering two dimension, then the variable '''jogan''' is added at 90 degrees to the '''haigan''' line  (see the diagram below).
 
And if we are considering three dimension, then the variable '''gugan''' is added at 60 degrees to the '''haigan'''line and 30 degrees to the '''jogan''' line (see the diagram below)
 
[[Image:TW_268.png]]
 
[[Image:TW_263.png]]
 
And just as '''béu''' has a special set of symbols for variables, it has a set of symbols for constants.
 
[[Image:TW_237.png]]
 
'''jambəno''', '''fanfəno''' and '''biabəno''' are equivalent to our "a", "b" and "c".
 
The further set '''pikəno''' and '''kiŋkəno''' can be said to be "m" and "n"
 
And finally down below I have given some other algebra bits from '''béu''' ... if anybody cares to decipher it.
 
[[Image:TW_238.png]]
[[Image:TW_239.png]]
 
Note ... In the above you will notice new symbols for "one", "two" and "three". These are invariable used in a mathematical context when these numbers appear in isolation and not as part of a number string (and the symbols for "one", "two" and "three" given in the earlier section on arithmetic, are invariably used in a body of prose ... the numbers are NEVER written out in full )
 
I need a name for "i"  1/2    and  sqrt  1/2 symbols ???
 
You will notice that instead of using brackets a horizontal line is placed over the elements that must be considered together. Also exponents are simple placed above the number that they qualify.
 
Note ... '''haigan''' is probably derived from the adjective '''hái'''. Likewise '''jogan''' from the adjective '''joga''' and '''gugan''' from the adjective '''guboi'''
 
..
 
== ..... Calculus==
 
'''laigau''' = calculus
 
'''yyyy''' = straight, straight line ... both an adjective and a noun
 
'''xxxx''' = curvy, a curve ............. both an adjective and a noun
 
Now '''xxxx''' also means function. Or at least instead of talking about putting x into a function (process) and obtaining y, the tradition in '''béu''' is to talk about '''xxxx''' defined in terms of x and y (either through an equation or simply a list of x and y values)
 
'''xxxx''' is usually written using the sign below.
 
[[Image:TW_256.png]]
 
'''xxxx''' is declared to exits in the dimensions (variabes) '''haigan''' and '''kyugan''' below.
 
[[Image:TW_257.png]]        ... how spoken out ?
 
'''xxxx''' is defined in terms of an equation below.
 
[[Image:TW_258.png]]        ... how spoken out ?
 
Now the differential of '''xxxx''' is called '''molgan xxxxwo''' and is written as .... (the image on the RHS is the second differential)
 
[[Image:TW_259.png]]
 
And the integral of '''xxxx''' is called '''fendagan xxxxwo''' and is written as ....  (the image on the RHS is the second integral)
 
[[Image:TW_260.png]]
 
Note '''moloi''' = slant, slop, incline, gradient .... '''fenda''' = area
 
== ... Index==
 
{{Béu Index}}

Latest revision as of 00:28, 4 December 2015

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