= Верзија 1

== Определување функциски зависности и да нема нешто со исто име на атрибут

*s_id = statement_id 

R = { pe_id, first_name, last_name, gender, address, picture, contact, embg, date_of_birth, country, nationality, o_badge_no, o_password, o_date_of_employment, p_id, p_address, s_id, city, p_date_of_employment, badge_no, rank, p_password, statement_id, statement_date, description, incident_timestamp, incident_place, e_id, e_name, e_type, is_found, e_picture, c_id, c_name, opening_date, c_status, date_of_closing, sc_description, final_document, t_id, t_name }

pe_id -> first_name, last_name, gender, address, picture, contact, embg, date_of_birth, country, nationality \\
o_badge_no -> pe_id, o_password, o_date_of_employment \\
p_id -> p_address, o_badge_no, s_id \\
s_id -> city \\
badge_no -> pe_id, p_date_of_employment, rank, p_password, p_id \\
statement_id -> statement_date, description, incident_timestamp, incident_place, e_id, badge_no \\
e_id -> e_name, e_type, is_found, e_picture \\
c_id -> c_name, opening_date, c_status, statement_id, e_id, t_id, p_id, date_of_closing \\
date_of_closing ->  sc_description, final_document \\
t_id -> t_name \\

\\
Лево \\
c_id

Лево и десно \\
pe_id, t_id, o_badge_no, p_id, s_id, badge_no, statement_id, e_id, date_of_closing, t_id

Десно \\
first_name, last_name, gender, address, picture, contact, embg, date_of_birth, country, nationality, o_password, o_date_of_employment, p_address, city, p_date_of_employment, rank, p_password,statement_date, description, incident_timestamp, incident_place, e_name, e_type, 
is_found, e_picture,c_name, opening_date, c_status, sc_description,
final_document, t_name

c_id+={ c_id, c_name, opening_date, c_status, statement_id, e_id, t_id, p_id, date_of_closing, statement_date, description, incident_timestamp, incident_place, badge_no, e_name, e_type, is_found, e_picture, t_name, p_address, o_badge_no, s_id, sc_description, final_document, city, pe_id, o_password, o_date_of_employment, p_date_of_employment, rank, p_password, first_name, last_name, gender, address, picture, contact, embg, date_of_birth, country, nationality } \\
Следува дека е единствен кандидат клуч и го прогласуваме за примарен клуч. 

\\
Во ваква дефинирана релација нема повеќекратни зависности, па со тоа следува дека задоволува **1НФ**. \\
Клучот на релацијата е составен само од еден атрибут c_id, што значи дека парцијална зависност не постои, и со тоа заклучуваме дека е задоволена **2НФ**. \\
Не е во 3НФ бидејќи има транзитивни зависности, пример s_id -> city

Декомпозиција:

**R1{__s_id__, city} е во BCNF**

R2{__c_id__, c_name, opening_date, c_status, statement_id, e_id, t_id, p_id, date_of_closing, statement_date, description, incident_timestamp, incident_place, badge_no, e_name, e_type, is_found, e_picture, t_name, p_address, o_badge_no, s_id, sc_description, final_document, pe_id, o_password, o_date_of_employment, p_date_of_employment, rank, p_password, first_name, last_name, gender, address, picture, contact, embg, date_of_birth, country, nationality} 

R2 не е во 3НФ поради e_id -> e_name, e_type, is_found, e_picture

**R21{__e_id__, e_name, e_type, is_found, e_picture } е во BCNF**

R22{__c_id__, c_name, opening_date, c_status, statement_id, e_id, t_id, p_id, date_of_closing, statement_date, description, incident_timestamp, incident_place, badge_no, t_name, p_address, o_badge_no, s_id, sc_description, final_document, pe_id, o_password, o_date_of_employment, p_date_of_employment, rank, p_password, first_name, last_name, gender, address, picture, contact, embg, date_of_birth, country, nationality}

R22 не е во 3НФ поради t_id -> t_name

**R221{t_id, t_name} е во BCNF**

R222{c_id, c_name, opening_date, c_status, statement_id, e_id, t_id, p_id, date_of_closing, statement_date, description, incident_timestamp, incident_place, badge_no, p_address, o_badge_no, s_id, sc_description, final_document, pe_id, o_password, o_date_of_employment, p_date_of_employment, rank, p_password, first_name, last_name, gender, address, picture, contact, embg, date_of_birth, country, nationality}

R222 не е во BCNF поради pe_id -> first_name, last_name, gender, address, picture, contact, embg, date_of_birth,country, nationality}

**R2221{__pe_id__, first_name, last_name, gender, address, picture, contact, embg, date_of_birth,country, nationality}е во BCNF**

R2222{__c_id__, c_name, opening_date, c_status, statement_id, e_id, t_id, p_id, date_of_closing, statement_date, description, incident_timestamp, incident_place, badge_no, p_address, o_badge_no, s_id, sc_description, final_document, pe_id, o_password, o_date_of_employment, p_date_of_employment, rank, p_password}

R2222 не е во BCNF поради date_of_closing ->  sc_description, final_document

**R22221{__date_of_closing__, sc_description, final_document}е во BCNF**

R22222{c_id, c_name, opening_date, c_status, statement_id, e_id, t_id, p_id, date_of_closing, statement_date, description, incident_timestamp, incident_place, badge_no, p_address, o_badge_no, s_id, pe_id, o_password, o_date_of_employment, p_date_of_employment, rank, p_password}

R22222 не е во 3НФ поради o_badge_no -> pe_id, o_password, o_date_of_employment 

**R222221{__o_badge_no__, pe_id, o_password, o_date_of_employment}е во BCNF**

R222222{__c_id__, c_name, opening_date, c_status, statement_id, e_id, t_id, p_id, date_of_closing, statement_date, description, incident_timestamp, incident_place, badge_no, p_address, o_badge_no, s_id, p_date_of_employment, rank, p_password}

R222222 не е во 3НФ поради badge_no -> pe_id, p_date_of_employment, rank, p_password, p_id

**R2222221{__badge_no__, pe_id, p_date_of_employment, rank, p_password, p_id} е во BCNF**

R2222222{__c_id__, c_name, opening_date, c_status, statement_id, e_id, t_id, p_id, date_of_closing, statement_date, description, incident_timestamp, incident_place, badge_no, p_address, o_badge_no, s_id}

R2222222 не е во BCNF поради statement_id -> statement_date, description, incident_timestamp, incident_place, e_id, badge_no

**R22222221{__statement_id__, statement_date, description, incident_timestamp, incident_place, e_id, badge_no} е во BCNF**

R22222222{__c_id__, c_name, opening_date, c_status, statement_id, t_id, p_id, date_of_closing, p_address, o_badge_no, s_id}

R22222222 не е во BCNF поради p_id -> p_address, o_badge_no, s_id

**R222222221{__p_id__, p_address, o_badge_no, s_id} е во BCNF**

**R222222222{__c_id__, c_name, opening_date, c_status, statement_id, t_id, date_of_closing} тука завршуваме бидејќи е во BCNF.**

== Релации
**R1 = Statement{__s_id__, city}** 

**R21 = Evidence{__e_id__, e_name, e_type, is_found, e_picture} е во BCNF**

**R221 = Type_of_crime{__t_id__, t_name} е во BCNF**

**R2221=People{__pe_id__, first_name, last_name, gender, address, picture, contact, embg, date_of_birth,country, nationality}е во BCNF**

**R22221 = Solved_case{__date_of_closing__, sc_description, final_document}е во BCNF**

**R222221 = Officer{__o_badge_no__, pe_id, o_password, o_date_of_employment}е во BCNF**

**R2222221 = Policeman{__badge_no__, pe_id, p_date_of_employment, rank, p_password, p_id} е во BCNF**

**R22222221 = Statement{__statement_id__, statement_date, description, incident_timestamp, incident_place, e_id, badge_no} е во BCNF**

**R222222221 = Police_Station{__p_id__, p_address, o_badge_no, s_id} е во BCNF**

**R222222222 = Crime_case{__c_id__, c_name, opening_date, c_status, statement_id, t_id, date_of_closing} тука завршуваме бидејќи е во BCNF.**