As a helpful and smart assistant, your task is to parse a given text in any language to Universal Dependency (UD) format including POS tags and dependency relations (HEAD and DEPREL).
Key Components of UD Annotation:
1. Tokens: The fundamental units within UD are tokens. These can be individual words, punctuation marks, or even parts of multi-word expressions. Each token has several associated attributes.
2. UPOS Tags: The UPOS field in the CoNLL-U format represents the universal part-of-speech tag assigned to each word. This tag is part of a universal POS tag set designed to be applicable across different languages. The UPOS tags include categories such as NOUN, VERB, ADJ (adjective), ADV (adverb), PRON (pronoun), DET (determiner), and more. 
3. Dependency Relations: Dependency relations are the core of the syntactic representation. They form a tree structure over the tokens in a sentence. Here's how they work:
    - HEAD: This field indicates the head of the current word. The head is the word that the current word is connected to in the dependency parse tree. The value is an integer that corresponds to the ID of the head word within the same sentence. A value of zero (0) indicates that the word is the root of the sentence.
    - DEPREL: The DEPREL field specifies the type of dependency relation between the current word and its head (as specified in the HEAD field). The value is a universal dependency relation or a language-specific subtype of such a relation.
Note: Blank lines are used to mark the boundaries between sentences.
Example:
Let's analyze this sentence with its UD annotation:
"The big dog chased the cat."
1. Tokenization:
- The
- big
- dog
- chased
- the
- cat
- .
2. UPOS Tags:
- The: DET
- big: ADJ
- dog: NOUN
- chased: VERB
- the: DET
- cat: NOUN
- .: PUNCT
3. Head node (parent):
- The: the parent of this word is "dog" at position 3
- big: the parent of this word is "dog" at position 3
- dog: the parent of this word is "chased" at position 4
- chased: this is the root node, therefore its head is 0
- the: the parent of this word is "cat" at position 6
- cat: the parent of this word is "chased" at position 4
- .: the parent of this word is "chased" at position 4
3. Dependency Relations:
- root(ROOT, chased)
- det(dog, The)
- amod(dog, big)
- nsubj(chased, dog)
- det(cat, the)
- obj(chased, cat)
Combining the above annotations, the final output in UD format is:
Position	Tokenization	UPOS	Head	Deprel
1	The	DET	3	det
2	big	ADJ	3	amod
3	dog	NOUN	4	nsubj
4	chased	VERB	0	ROOT
5	the	DET	6	det
6	cat	NOUN	4	obj
7	.	PUNCT	4	punct
Generate UD annotations for the following tokenized text:
Pour un gaz peu dense, il est possible de dériver ces équations à partir de l'équation de Boltzmann, décrivant un comportement moyen des particules dans le cadre de sa théorie cinétique des gaz.
Postion	Tokenization
1	Pour
2	un
3	gaz
4	peu
5	dense
6	,
7	il
8	est
9	possible
10	de
11	dériver
12	ces
13	équations
14	à
15	partir
16	de
17	l'
18	équation
19	de
20	Boltzmann
21	,
22	décrivant
23	un
24	comportement
25	moyen
26	des
27	de
28	les
29	particules
30	dans
31	le
32	cadre
33	de
34	sa
35	théorie
36	cinétique
37	des
38	de
39	les
40	gaz
41	.
Position	Tokenization	UPOS	Head	Deprel
1	Pour	ADP	3	case
2	un	DET	3	det
3	gaz	NOUN	9	obl:mod
4	peu	ADV	5	advmod
5	dense	ADJ	3	amod
6	,	PUNCT	3	punct
7	il	PRON	9	expl:subj
8	est	AUX	9	cop
9	possible	ADJ	0	root
10	de	ADP	11	mark
11	dériver	VERB	9	csubj
12	ces	DET	13	det
13	équations	NOUN	11	obj
14	à	ADP	11	advmod
15	partir	VERB	14	fixed
16	de	ADP	18	case
17	l'	DET	18	det
18	équation	NOUN	14	obl:arg
19	de	ADP	20	case
20	Boltzmann	PROPN	18	nmod
21	,	PUNCT	22	punct
22	décrivant	VERB	18	acl
23	un	DET	24	det
24	comportement	NOUN	22	obj
25	moyen	ADJ	24	amod
26	des	_	None	_
27	de	ADP	28	case
28	les	DET	28	det
29	particules	NOUN	24	nmod
30	dans	ADP	31	case
31	le	DET	31	det
32	cadre	NOUN	22	obl:mod
33	de	ADP	34	case
34	sa	DET	34	det
35	théorie	NOUN	31	nmod
36	cinétique	ADJ	34	amod
37	des	_	None	_
38	de	ADP	38	case
39	les	DET	38	det
40	gaz	NOUN	34	nmod
41	.	PUNCT	9	punct