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:
En mathématiques, la constante oméga, notée Ω, est une constante définie comme étant une valeur particulière de la fonction W de Lambert.
Postion	Tokenization
1	En
2	mathématiques
3	,
4	la
5	constante
6	oméga
7	,
8	notée
9	Ω
10	,
11	est
12	une
13	constante
14	définie
15	comme
16	étant
17	une
18	valeur
19	particulière
20	de
21	la
22	fonction
23	W
24	de
25	Lambert
26	.
Position	Tokenization	UPOS	Head	Deprel
1	En	ADP	2	case
2	mathématiques	NOUN	13	obl:mod
3	,	PUNCT	2	punct
4	la	DET	5	det
5	constante	NOUN	13	nsubj
6	oméga	NOUN	5	appos
7	,	PUNCT	8	punct
8	notée	VERB	5	acl
9	Ω	SYM	8	xcomp:pred
10	,	PUNCT	8	punct
11	est	AUX	13	cop
12	une	DET	13	det
13	constante	NOUN	0	root
14	définie	VERB	13	acl
15	comme	SCONJ	18	mark
16	étant	AUX	18	cop
17	une	DET	18	det
18	valeur	NOUN	14	xcomp:pred
19	particulière	ADJ	18	amod
20	de	ADP	22	case
21	la	DET	22	det
22	fonction	NOUN	18	nmod
23	W	SYM	22	appos
24	de	ADP	25	case
25	Lambert	PROPN	22	nmod
26	.	PUNCT	13	punct