๐Ÿ“š SE311 Chapter 5: Requirements Analysis
COMPLETE COMPREHENSIVE STUDY GUIDE

1. Requirements Analysis Overview

๐ŸŽฏ What is Requirements Analysis?

Requirements Analysis is the process of understanding the application domain, identifying user needs, capturing system requirements, and validating them.

Main Goals

2. Requirements Analysis Activities

๐Ÿ“‹ The Four Main Activities

  1. 1Capture Data Requirements: Domain Modeling
  2. 2Capture Functional Requirements: Use-Case Modeling
  3. 3Capture Nonfunctional Requirements: Supplementary Specifications
  4. 4Validate System Requirements: Review and verification

Requirements Analysis Process Flow

Inception โ†’ Requirements Elicitation โ†’ Requirements Analysis โ†’ Requirements Management
    โ†“              โ†“                         โ†“                         โ†“
  Start      Interview Users          Capture & Model           Track Changes
            Document Needs           Validate Requirements      Manage Versions
                

3. System Requirements Specification (SRS)

๐Ÿ“„ What is an SRS?

The System Requirements Specification (SRS) documents the system requirements. It is the official statement of what is required of the system.

Key Characteristics of SRS

โš ๏ธ Agile Perspective

Many agile methods argue that producing a formal SRS is a waste of time as requirements change so quickly. However, some level of requirements documentation is still valuable for communication and traceability.

Ways of Writing an SRS

Method Description Advantages Disadvantages
Natural Language Uses sentences supplemented by diagrams and tables Easy to write, universally understood Ambiguous, imprecise
Structured Natural Language Uses restricted language following a fixed standard/template More consistent, less ambiguous Can be rigid, requires discipline
Graphical Notations (UML) Uses graphical models plus text annotations Visual, precise, standard notation Requires training, can be complex
Design Description Languages Uses a language like a programming language Very precise, executable Technical, not user-friendly
Mathematical Specifications Uses notations based on mathematical concepts Unambiguous, provable Difficult to understand, time-consuming

4. Domain Modeling

Definition & Purpose

๐ŸŽฏ What is Domain Modeling?

Domain Modeling captures the most important classes and their associations for which data must be stored.

  • Focuses on things that exist or events that occur
  • Described in a class diagram
  • Provides a glossary of terms

Sources of Domain Model Elements

Types of Classes

๐Ÿ“ฆ Class Categories

  • Business Objects: orders, accounts, invoices, contracts
  • Real-World Objects and Concepts: suppliers, customers, employees, products
  • Events: aircraft arrival/departure, sales, reservations, purchases, rentals

๐Ÿ’ก Key Principle

Identify only relevant classes and associations - those that are essential and will always exist; are not transient. This leads to a stable system.

โš ๏ธ Important Note

The decomposition of user requirements into classes and associations depends on judgment and experience and the nature of the problem. There is usually no one correct decomposition!

Identifying Classes and Associations

๐Ÿ” How to Identify Classes

Look for naturally occurring things or concepts in the user requirements:

  • Classes appear as nouns or noun phrases
  • Associations appear as verbs or verb phrases

โœ… Best Practices

  • Put all terms into singular form (Movie, not Movies)
  • Use active voice for associations
  • Identify only relevant classes/associations
  • Focus on those that are essential and will always exist
  • Avoid transient or temporary concepts

๐Ÿ“ Example: Finding Classes from Text

"The-system-must-be-able-to-record-which-movies-are-sold-and-rented-and-by-whom-(customer)."

Identified Classes:

  • Movie - noun phrase
  • Customer - noun implied by "by whom"

Identified Associations:

  • Customer purchases Movie - "sold" indicates purchase relationship
  • Customer rents Movie - "rented" indicates rental relationship

Identifying Associations

๐Ÿ”— Association Identification Rules

Associations represent structural relationships between classes:

  • Look for verbs connecting nouns (e.g., "customer rents movie")
  • Associations should describe persistent relationships, not transient events
  • Should answer: "What relationships exist between these classes?"
Requirement Text Classes Association
"Members can make reservations for physical movie rentals" Member, RentalCopy Member reserves RentalCopy
"Movie has rental copies" Movie, RentalCopy Movie HasPhysical RentalCopy
"Customers provide reviews for movies" Customer, Review, Movie Customer Provides Review, Review IsFor Movie

Identifying Attributes

๐Ÿ“Š How to Find Attributes

  • Attributes usually correspond to nouns followed by possessive phrases
    Example: "password of student", "student's address"
  • Adjectives usually represent specific enumerated values
    Example: "Fall term", "PhD degree"
  • Only identify attributes that directly relate to the application domain

โš ๏ธ Important Note

Most attributes will NOT be given in a requirements statement and will have to be obtained from domain experts or application documentation.

๐Ÿ“ Example: Extracting Attributes

"A sales clerk should be able to enter and update the following information about all customers: name, address, phone number, age, sex, and email address."

Class: Customer

Attributes identified:

  • name
  • address
  • phoneNumber
  • age
  • sex
  • email

Evaluating Classes

โœ”๏ธ Class Evaluation Checklist

Ask these questions about each identified class:

Question Action if YES Reason
Is the class irrelevant to the domain model? Eliminate Only include classes that represent persistent data needed by the system
Is the class vague (ill-defined)? Make specific or eliminate A class should be specific and well-defined
Are there redundant classes? Keep most descriptive Avoid duplication and confusion
Should the class really be an attribute? Consider requirements Ask: Is the concept dependent or independent?
Does the class name describe a role? Be careful Roles also appear as nouns but may not be classes
Does the class describe an operation/action? Eliminate Classes represent things, not actions
Does the class describe implementation constructs? Eliminate Domain model is implementation-independent

โš ๏ธ Critical Rule: Persistent vs. Transient Data

A class should represent persistent data, not transient data.

Persistent: Data that needs to be stored in files or database (e.g., Customer, Movie, Order)

Transient: Temporary data during execution (e.g., SearchResults, ValidationStatus)

Evaluating Associations

๐Ÿ”— Association Evaluation Checklist

Question Action if YES Reason
Is the association irrelevant to the domain model? Eliminate Only include necessary relationships
Does the association describe an operation? Eliminate Should describe structural property, not transient event
Can ternary associations be decomposed into binary? Decompose Keep model as simple as possible
Is it a derived association? Eliminate Introduces redundancy - can be computed from other associations
Does it describe implementation constructs? Eliminate Domain model is implementation-independent

๐Ÿ“ Example: Derived Association

    A โ”€โ”€โ”€โ”€Xโ”€โ”€โ”€โ”€ B โ”€โ”€โ”€โ”€Yโ”€โ”€โ”€โ”€ C
    
    If association X means "A relates to B"
    And association Y means "B relates to C"
    
    Then we can DERIVE: A relates to C (through B)
    
    Therefore, if there's an association Z: A โ”€โ”€โ”€โ”€Zโ”€โ”€โ”€โ”€ C
    It's a DERIVED association and should be eliminated!
                    

Why? Because Z is redundant - we can find the relationship between A and C by following X then Y.

Evaluating Attributes

๐Ÿ“Š Attribute Evaluation Checklist

Question What to Check Reason
Are attributes closely related to their class? Each attribute should logically belong to its class A class should be simple and coherent
Should any attributes really be classes? Is the concept dependent on the class? If independent and needs multiple attributes, make it a class
Should any attributes be in association class? Does attribute depend on existence of association? Quantity sold depends on Customer-Movie purchase association
Have object identifiers been included? Check for ID fields used for relationships Object identifiers should NOT be in domain model!

โŒ Common Mistake: Object Identifiers as Attributes

WRONG:

Customer
- customerID
- movieID  โ† This is an object identifier pointing to Movie!
                

CORRECT:

Customer โ”€โ”€โ”€โ”€purchasesโ”€โ”€โ”€โ†’ Movie
                

Why? In domain modeling, relationships are shown through associations, not through ID attributes. IDs are implementation details!

Specifying Details

๐Ÿ“‹ Complete Domain Model Specification

For Each Class:

For Each Attribute:

For Each Association:

๐Ÿ“ Complete Attribute Specification Example

Movie
- movieId: String
- title: String
- leadingActor[0..*]: String
- director: String
- producer: String
- genre: String
- synopsis: String
- releaseYear: Integer
- runningTime: Integer
- sellingPrice: Real
- rentalPrice: Real
- isPhysical: Boolean
- isDigital: Boolean
                

5. Complete Movie Shop Case Study

Requirements Statement

๐ŸŽฌ Movie Shop System Requirements

The following are the requirements for a web-based system to computerize the management of the sale and rental of movies for a movie shop:

  1. The system must be able to handle both physical and digital movies.
  2. It must be able to record which movies are sold and rented and by whom.
  3. For sold movies, the quantity sold should be recorded; for physical movie rental, which copy is rented and when it is due back should be recorded.
  4. The system should keep track of overdue rentals of physical movies and send email notices to customers who have movies overdue.
  5. There will be a customer membership option for an annual fee, which will entitle a member to discounts (10%) on the sale and rental of movies.
  6. Members should be able to make reservations for physical movie rentals either in person at the shop, by telephone or via the Web.
  7. A member can reserve at most five physical movies at any one time, but there is no limit on how many physical movies a member or nonmember can rent at any one time.
  8. As an added feature, the shop would like to allow customers (either members or nonmembers) to input, via the Web, mini-reviews (up to 100 words) and a rating (from 1, lowest, to 10, highest) of movies they have purchased or rented.
  9. These reviews should be anonymous if the customer so wishes (i.e., customers can specify whether they want their name to be made known when other customers browse the reviews).
  10. A sales clerk should be able to enter and update the following information about all customers (members or nonmembers): name, address, phone number, age, sex, and email address.
  11. Members are assigned a membership number by the shop when they become members and a password, which allows them to change their personal information and to buy and rent digital movies via the Web.
  12. The shop manager should be able to generate various reports on the sale and rental of movies.
  13. A sales clerk should be able to sell and rent physical movies and process the return of rented physical movies.
  14. When selling or renting physical movies, a sales clerk must be able to look up customer information and determine whether the customer is a member.
  15. A sales clerk must be able to enter basic information about a movie (i.e., movie id, title, leading actor(s), director, producer, genre, synopsis, release year, running time, selling price, and rental price).

Detailed Requirements Analysis

๐Ÿ” Step-by-Step Analysis Process

We analyze each requirement to extract classes, attributes, associations, and constraints:

Requirement 1: Physical and Digital Movies

"The system must be able to handle both physical and digital movies."

Analysis:

  • Classes: Movie
  • Attributes:
    • Movie: isPhysical (Boolean)
    • Movie: isDigital (Boolean)

Reasoning: A movie can be both physical and digital, so we use boolean flags rather than creating separate subclasses.

Requirement 2: Record Sales and Rentals

"It must be able to record which movies are sold and rented and by whom."

Analysis:

  • Classes & Associations:
    • Customer Purchases Movie
    • Customer Rents Movie

Reasoning: "by whom" implies a Customer class, and the verbs "sold" and "rented" create associations.

Requirement 3: Quantity and Copy Details

"For sold movies, the quantity sold should be recorded; for physical movie rental, which copy is rented and when it is due back should be recorded."

Analysis:

  • Classes: RentalCopy
  • Associations:
    • Movie HasPhysical RentalCopy
    • Customer RentsPhysical RentalCopy
  • Attributes:
    • Purchases: quantity (Integer) - association class attribute
    • RentalCopy: copyNumber (String)
    • RentalCopy: returnDate (Date)

Reasoning: We need a RentalCopy class to track individual physical copies. Quantity belongs to the Purchase association.

Requirement 4: Overdue Tracking

"The system should keep track of overdue rentals of physical movies and send email notices to customers who have movies overdue."

Analysis:

  • Attributes: Customer: email (String)

Reasoning: Email is needed for notification. Overdue status can be derived from returnDate.

Requirement 5: Membership and Discounts

"There will be a customer membership option for an annual fee, which will entitle a member to discounts (10%) on the sale and rental of movies."

Analysis:

  • Generalization: Member is a kind of Customer
    • Customer Generalizes Member

Reasoning: Member is a specialized type of Customer with additional attributes and privileges.

Requirement 6: Reservations

"Members should be able to make reservations for physical movie rentals either in person at the shop, by telephone or via the Web."

Analysis:

  • Association: Member Reserves RentalCopy

Reasoning: Only members can make reservations. The method (in person, phone, web) is not part of the domain model.

Requirement 7: Reservation and Rental Limits

"A member can reserve at most five physical movies at any one time, but there is no limit on how many physical movies a member or nonmember can rent at any one time."

Analysis:

  • Constraints:
    • max-card(Member, Reserves) = 5
    • max-card(Customer, RentsPhysical) = *

Reasoning: Multiplicity constraints capture business rules about quantity limits.

Requirement 8: Reviews and Ratings

"As an added feature, the shop would like to allow customers (either members or nonmembers) to input, via the Web, mini-reviews (up to 100 words) and a rating (from 1, lowest, to 10, highest) of movies they have purchased or rented."

Analysis:

  • Classes: Review
  • Associations:
    • Customer Provides Review
    • Review IsFor Movie
  • Attributes:
    • Review: reviewText (String)
    • Review: rating (Integer)

Reasoning: Review is a separate class because it has multiple attributes and relates two other classes.

Requirement 9: Anonymous Reviews

"These reviews should be anonymous if the customer so wishes (i.e., customers can specify whether they want their name to be made known when other customers browse the reviews)."

Analysis:

  • Attributes: Review: anonymous (Boolean)

Reasoning: A flag to indicate if the review should display the customer's name.

Requirement 10: Customer Information

"A sales clerk should be able to enter and update the following information about all customers (members or nonmembers): name, address, phone number, age, sex, and email address."

Analysis:

  • Attributes:
    • Customer: name (String)
    • Customer: address (String)
    • Customer: phoneNumber (String)
    • Customer: age (Integer)
    • Customer: sex (String)
    • Customer: email (String)

Reasoning: Direct mapping from requirements to attributes.

Requirement 11: Member Credentials

"Members are assigned a membership number by the shop when they become members and a password, which allows them to change their personal information and to buy and rent digital movies via the Web."

Analysis:

  • Attributes:
    • Member: memberNumber (String)
    • Member: password (String)

Reasoning: These attributes are specific to Member, not all Customers.

Requirements 12-14: Functional Requirements

"The shop manager should be able to generate various reports..."

"A sales clerk should be able to sell and rent physical movies..."

"When selling or renting physical movies, a sales clerk must be able to look up customer information..."

Analysis:

  • No new domain model requirements

Reasoning: These are functional requirements describing what users can DO, not data that needs to be stored.

Requirement 15: Movie Information

"A sales clerk must be able to enter basic information about a movie (i.e., movie id, title, leading actor(s), director, producer, genre, synopsis, release year, running time, selling price, and rental price)."

Analysis:

  • Attributes:
    • Movie: movieId (String)
    • Movie: title (String)
    • Movie: leadingActor[0..*] (String) - multiple actors possible
    • Movie: director (String)
    • Movie: producer (String)
    • Movie: genre (String)
    • Movie: synopsis (String)
    • Movie: releaseYear (Integer)
    • Movie: runningTime (Integer)
    • Movie: sellingPrice (Real)
    • Movie: rentalPrice (Real)

Reasoning: Note that leadingActor has multiplicity [0..*] because a movie can have multiple leading actors.

Summary of Domain Model Elements

๐Ÿ“Š Complete Domain Model Elements

Category Elements
Classes Customer, Member, Movie, RentalCopy, Review
Associations โ€ข Customer Purchases Movie
โ€ข Customer Rents Movie
โ€ข Movie HasPhysical RentalCopy
โ€ข Customer RentsPhysical RentalCopy
โ€ข Customer Provides Review
โ€ข Review IsFor Movie
โ€ข Member Reserves RentalCopy
Association Classes Purchases (with attribute: quantity)
Generalizations Customer generalizes Member
Constraints โ€ข max-card(Member, Reserves) = 5
โ€ข max-card(Customer, RentsPhysical) = *

Alternative Domain Model Solutions

๐Ÿ’ก Important: Multiple Valid Solutions

There are several valid ways to model purchases and rentals. Here are three common approaches:

Solution 1: Direct Associations

Customer โ”€โ”€โ”€โ”€โ”€Purchasesโ”€โ”€โ”€โ”€โ†’ Movie
         (quantity)
         
Customer โ”€โ”€โ”€โ”€โ”€Rentsโ”€โ”€โ”€โ”€โ†’ Movie

Constraint: If Purchases is an association class, 
then a customer can purchase a given movie at most once.
                

Pros: Simple, direct

Cons: Cannot track multiple purchases of same movie, cannot track rental history

Solution 2: Transaction Classes (Preferred)

Customer โ”€โ”€โ”€โ”€โ”€Hasโ”€โ”€โ”€โ”€โ†’ Purchase โ”€โ”€โ”€โ”€โ”€HasPurchaseโ”€โ”€โ”€โ”€โ†’ Movie
                       (quantity)

Customer โ”€โ”€โ”€โ”€โ”€Hasโ”€โ”€โ”€โ”€โ†’ Rental โ”€โ”€โ”€โ”€โ”€HasRentalโ”€โ”€โ”€โ”€โ†’ Movie

Advantage: Can track multiple transactions over time
Can store transaction dates, amounts, etc.
                

Pros: More flexible, tracks history, allows multiple purchases

Cons: More complex

Solution 3: Generalized Transaction

Customer โ”€โ”€โ”€โ”€โ”€HasTransactionโ”€โ”€โ”€โ”€โ†’ Transaction โ”€โ”€โ”€โ”€โ”€Hasโ”€โ”€โ”€โ”€โ†’ Movie
                                       โ–ฒ
                                       โ”‚
                          โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
                          โ”‚                         โ”‚
                      Purchase                   Rental

Advantage: Most general, allows easy addition of new transaction types
                

Pros: Extensible, unified handling of transactions

Cons: Most complex, may be over-engineered

Detailed Multiplicity Constraints

๐Ÿ”ข Determining Multiplicities

Multiplicities are determined from:

  • Explicit requirements - stated in the requirements
  • Real-world domain knowledge - common sense about the domain
  • Unknown ("?") - when cannot be inferred

From Real-World Knowledge

Association Min-Card Max-Card Reasoning
Member Reserves RentalCopy 0 5 Member may have no reservations; max 5 from requirements
RentalCopy Reserves Member 0 1 Copy may not be reserved; can only be reserved by one member
Customer RentsPhysical RentalCopy 0 * Customer may rent none; no limit stated
RentalCopy RentsPhysical Customer 0 1 Copy may not be rented; can only be rented by one customer at a time
Movie HasPhysical RentalCopy 0 * Movie may have no physical copies (digital only); or many copies
RentalCopy HasPhysical Movie 1 1 Each rental copy is of exactly one movie
Movie Reviews Customer 0 * Movie may have no reviews; can have many
Customer Reviews Movie 0 * Customer may provide no reviews; can review many movies
Customer Has Rental 0 * Customer may have no rentals; can have many
Rental Has Customer 1 1 Each rental is for exactly one customer
Movie HasRental Rental 0 * Movie may never be rented; can have many rentals
Rental HasRental Movie 1 1 Each rental is for exactly one movie
Customer Makes Purchase 0 * Customer may make no purchases; can make many
Purchase Makes Customer 1 1 Each purchase is made by exactly one customer
Movie HasPurchase Purchase 0 * Movie may never be purchased; can have many purchases
Purchase HasPurchase Movie 1 1 Each purchase is for exactly one movie

โš ๏ธ Important Distinction

Movie vs. Physical Copy

An instance of the class Movie does not represent an instance of a physical copy of the movie, but a description of the movie.

Hence, the same instance of Movie (i.e., the description) can be related to many rental copies, rentals, and purchases.

Complete Domain Model Diagram

Final Domain Model with All Details

                                    โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
                                    โ”‚   Customer   โ”‚
                                    โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
                                    โ”‚ name         โ”‚
                                    โ”‚ address      โ”‚
                                    โ”‚ phoneNumber  โ”‚
                                    โ”‚ age          โ”‚
                                    โ”‚ sex          โ”‚
                                    โ”‚ email        โ”‚
                                    โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”ฌโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                                           โ–ณ
                                           โ”‚ (generalization)
                                           โ”‚
                                    โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
                                    โ”‚    Member    โ”‚
                                    โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
                                    โ”‚ memberNumber โ”‚
                                    โ”‚ password     โ”‚
                                    โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜


โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”         HasPhysical        โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚    Movie     โ”‚โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”‚ RentalCopy   โ”‚
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค        1         0..*      โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
โ”‚ movieId      โ”‚                             โ”‚ copyNumber   โ”‚
โ”‚ title        โ”‚                             โ”‚ returnDate   โ”‚
โ”‚ leadingActor โ”‚                             โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
โ”‚ director     โ”‚                                    โ”‚
โ”‚ producer     โ”‚                                    โ”‚ RentsPhysical
โ”‚ genre        โ”‚                                    โ”‚ 0..1    0..*
โ”‚ synopsis     โ”‚                                    โ”‚
โ”‚ releaseYear  โ”‚                             โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚ runningTime  โ”‚                             โ”‚   Customer   โ”‚
โ”‚ sellingPrice โ”‚                             โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
โ”‚ rentalPrice  โ”‚                                    โ”‚
โ”‚ isPhysical   โ”‚                                    โ”‚ Reserves
โ”‚ isDigital    โ”‚                                    โ”‚ 0..5    0..1
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜                                    โ”‚
       โ”‚                                      โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
       โ”‚ HasPurchase                          โ”‚    Member    โ”‚
       โ”‚ 1      0..*                          โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
       โ”‚
โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”         Makes
โ”‚   Purchase   โ”‚โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค  0..*             1   โ”‚
โ”‚ quantity     โ”‚                  โ”Œโ”€โ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜                  โ”‚   Customer   โ”‚
                                  โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
       โ”‚ HasRental                      โ”‚
       โ”‚ 1      0..*                    โ”‚ Has
       โ”‚                                โ”‚ 1    0..*
โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”                        โ”‚
โ”‚    Rental    โ”‚โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜


โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”         IsFor          โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚    Review    โ”‚โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”‚    Movie     โ”‚
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค    0..*           1    โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
โ”‚ reviewText   โ”‚
โ”‚ rating       โ”‚
โ”‚ anonymous    โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”ฌโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
       โ”‚ Provides
       โ”‚ 0..*    1
       โ”‚
โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚   Customer   โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

6. Common Domain Modeling Errors

โŒ Common Mistakes to Avoid

1. Using IDs to Relate Classes

WRONG:

Customer
- customerID
- movieID  โ† Don't use IDs to link classes!
                

CORRECT:

Customer โ”€โ”€โ”€โ”€associationโ”€โ”€โ”€โ†’ Movie
                

Why? Object identifiers should NOT be included as attributes in the domain model! Use associations instead.

2. Representing the Client/Organization

WRONG:

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚   Shop   โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

Why? The "Shop" is the organization running the system, not data that needs to be stored. Don't include it in the domain model.

3. Incorrect Use of Generalization

WRONG:

      Person
        โ–ณ
        โ”‚
    โ”Œโ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”
Customer  Nonmember

PhysicalMovie  DigitalMovie
        โ–ณ          โ–ณ
        โ””โ”€โ”€โ”€โ”€โ”ฌโ”€โ”€โ”€โ”€โ”€โ”˜
           Movie
                

Why?

  • Person is too general - not needed
  • Nonmember is just a Customer without membership - don't need separate class
  • PhysicalMovie/DigitalMovie - a movie can be BOTH, so use attributes instead

CORRECT:

    Customer
        โ–ณ
        โ”‚
      Member

Movie (with isPhysical, isDigital attributes)
                

4. Incorrect Use of Aggregation/Composition

WRONG:

Movie โ—‡โ”€โ”€โ”€โ”€โ”€โ”€ RentalCopy
Movie โ—‡โ”€โ”€โ”€โ”€โ”€โ”€ Review
Customer โ—‡โ”€โ”€โ”€โ”€โ”€โ”€ Member
                

Why? These are not part-whole relationships!

  • RentalCopy is not a "part" of Movie - it's a separate physical instance
  • Review is not a "part" of Movie - it's an independent entity
  • Member is not a "part" of Customer - it's a specialized type (use generalization)

5. Incorrect Use of Association Class

WRONG:

Customer โ”€โ”€โ”€โ”€โ”€Rentsโ”€โ”€โ”€โ”€โ†’ Movie
           (returnDate)

Problem: returnDate is for a specific COPY, not the movie in general!
                

CORRECT:

Customer โ”€โ”€โ”€โ”€โ”€RentsPhysicalโ”€โ”€โ”€โ”€โ†’ RentalCopy
                                 (returnDate is an attribute of RentalCopy)
                

6. Incorrect Constraints

WRONG:

Movie can be {XOR} Physical or Digital
                

Why? A movie can be BOTH physical and digital!

CORRECT: Use boolean attributes isPhysical and isDigital (both can be true)

7. Representing Operations

WRONG:

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  Generates  โ”‚  โ† This is an operation, not a class!
โ”‚   Browses   โ”‚
โ”‚   Enters    โ”‚
โ”‚  LooksUp    โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

Why? These are actions/functions, not things that need to be stored.

8. Storing Reports

WRONG:

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  SalesReport  โ”‚  โ† Don't store reports as classes!
โ”‚ RentalReport  โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

Why? Reports are generated from data, not persistent data themselves.

9. Representing Implementation Aspects

WRONG:

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  System  โ”‚  โ† Implementation construct
โ”‚   Web    โ”‚  โ† Access method
โ”‚Telephone โ”‚  โ† Access method
โ”‚ Reports  โ”‚  โ† Generated output
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

Why? Domain model should be implementation-independent!

10. Over-Specifying the Model

WRONG:

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚ SalesClerk   โ”‚  โ† Role, not persistent data
โ”‚   Manager    โ”‚  โ† Role, not persistent data
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

Why? These are user roles for functional requirements, not data to store.

Key Question: What information about things/procedures needs to be persistent (i.e., in files or a database)?

๐Ÿ’ก Golden Rule for Domain Modeling

Only include classes, associations, and attributes that represent persistent data needed by the system.

Ask yourself: "Does this information need to be stored in a database?" If no, it probably shouldn't be in the domain model.

7. Exam Tips & Strategy

๐Ÿ“ How to Approach Domain Modeling Questions

Step-by-Step Process

  1. 1Read the requirements carefully - multiple times if needed
  2. 2Identify all nouns โ†’ potential classes
  3. 3Identify all verbs โ†’ potential associations
  4. 4Look for possessive phrases โ†’ potential attributes
  5. 5Apply evaluation criteria to filter out invalid elements
  6. 6Determine multiplicities from requirements and domain knowledge
  7. 7Check for generalizations (is-a relationships)
  8. 8Identify association classes (attributes that depend on associations)
  9. 9Draw the diagram clearly and legibly
  10. 10Review using the common errors checklist

Time Management

  • Analysis phase (40%): List classes, associations, attributes, constraints
  • Evaluation phase (20%): Apply evaluation criteria, remove invalid elements
  • Diagram phase (30%): Draw the class diagram
  • Review phase (10%): Check for errors, verify multiplicities

Common Exam Question Types

Type 1: Complete Domain Model

"From-the-requirements-statement,-identify-all-classes,-attributes,-associations,-aggregations/compositions,-generalizations,-and-multiplicity-constraints.-Construct-a-complete-class-diagram."

What to do:

  • Create a comprehensive analysis table
  • List all elements systematically
  • Draw complete diagram with all multiplicities
  • Include all attributes with types

Type 2: Identify Specific Elements

"List all the classes that should be included in the domain model."

What to do:

  • Focus only on what's asked
  • Apply evaluation criteria strictly
  • Justify why each element is included

Type 3: Find Errors

"The following domain model was created for the system. Identify and explain the errors."

What to do:

  • Check against all evaluation criteria
  • Look for common errors (IDs, operations, implementation details)
  • Verify multiplicities
  • Check for missing or incorrect relationships

Quick Reference: Evaluation Questions

For Classes:
โœ“ Represents persistent data?
โœ“ Well-defined concept?
โœ— Operation/action?
โœ— Implementation construct?
โœ— Should be attribute?

For Associations:
โœ“ Structural relationship?
โœ— Operation/action?
โœ— Derived?
โœ— Implementation construct?

For Attributes:
โœ“ Closely related to class?
โœ— Should be class?
โœ— Should be in association class?
โœ— Object identifier?

Memory Aids

๐Ÿง  Mnemonics

CLASSES are NOUNS:

  • Nouns in requirements
  • Objects in real world
  • Unique and well-defined
  • Needed for storage
  • Stable over time

ASSOCIATIONS are VERBS:

  • Verbs connecting classes
  • Enduring relationships
  • Relate two or more classes
  • Binary preferred
  • Structural, not operational

Avoid ROID:

  • Roles (SalesClerk, Manager)
  • Operations (Generate, Browse)
  • Implementation (System, Web)
  • Derived (can be computed)

๐ŸŽ“ Study Complete!

You now have a comprehensive understanding of Requirements Analysis and Domain Modeling.

Remember: Practice with the Movie Shop case study and apply the evaluation criteria rigorously!

๐Ÿ“š SE311 ุงู„ูุตู„ ุงู„ุฎุงู…ุณ: ุชุญู„ูŠู„ ุงู„ู…ุชุทู„ุจุงุช
ุฏู„ูŠู„ ุงู„ุฏุฑุงุณุฉ ุงู„ุดุงู…ู„ ุงู„ูƒุงู…ู„

1. ู†ุธุฑุฉ ุนุงู…ุฉ ุนู„ู‰ ุชุญู„ูŠู„ ุงู„ู…ุชุทู„ุจุงุช

๐ŸŽฏ ู…ุง ู‡ูˆ ุชุญู„ูŠู„ ุงู„ู…ุชุทู„ุจุงุชุŸ

ุชุญู„ูŠู„ ุงู„ู…ุชุทู„ุจุงุช ู‡ูˆ ุนู…ู„ูŠุฉ ูู‡ู… ู…ุฌุงู„ ุงู„ุชุทุจูŠู‚ุŒ ูˆุชุญุฏูŠุฏ ุงุญุชูŠุงุฌุงุช ุงู„ู…ุณุชุฎุฏู…ุŒ ูˆุฌู…ุน ู…ุชุทู„ุจุงุช ุงู„ู†ุธุงู…ุŒ ูˆุงู„ุชุญู‚ู‚ ู…ู† ุตุญุชู‡ุง.

ุงู„ุฃู‡ุฏุงู ุงู„ุฑุฆูŠุณูŠุฉ

2. ุฃู†ุดุทุฉ ุชุญู„ูŠู„ ุงู„ู…ุชุทู„ุจุงุช

๐Ÿ“‹ ุงู„ุฃู†ุดุทุฉ ุงู„ุฑุฆูŠุณูŠุฉ ุงู„ุฃุฑุจุนุฉ

  1. 1ุฌู…ุน ู…ุชุทู„ุจุงุช ุงู„ุจูŠุงู†ุงุช: ู†ู…ุฐุฌุฉ ุงู„ู†ุทุงู‚
  2. 2ุฌู…ุน ุงู„ู…ุชุทู„ุจุงุช ุงู„ูˆุธูŠููŠุฉ: ู†ู…ุฐุฌุฉ ุญุงู„ุงุช ุงู„ุงุณุชุฎุฏุงู…
  3. 3ุฌู…ุน ุงู„ู…ุชุทู„ุจุงุช ุบูŠุฑ ุงู„ูˆุธูŠููŠุฉ: ุงู„ู…ูˆุงุตูุงุช ุงู„ุชูƒู…ูŠู„ูŠุฉ
  4. 4ุงู„ุชุญู‚ู‚ ู…ู† ุตุญุฉ ู…ุชุทู„ุจุงุช ุงู„ู†ุธุงู…: ุงู„ู…ุฑุงุฌุนุฉ ูˆุงู„ุชุญู‚ู‚

ุชุฏูู‚ ุนู…ู„ูŠุฉ ุชุญู„ูŠู„ ุงู„ู…ุชุทู„ุจุงุช

ุงู„ุจุฏุงูŠุฉ โ†’ ุฌู…ุน ุงู„ู…ุชุทู„ุจุงุช โ†’ ุชุญู„ูŠู„ ุงู„ู…ุชุทู„ุจุงุช โ†’ ุฅุฏุงุฑุฉ ุงู„ู…ุชุทู„ุจุงุช
    โ†“              โ†“                         โ†“                         โ†“
  ุงู„ุจุฏุก      ู…ู‚ุงุจู„ุฉ ุงู„ู…ุณุชุฎุฏู…ูŠู†          ุงู„ุฌู…ุน ูˆุงู„ู†ู…ุฐุฌุฉ           ุชุชุจุน ุงู„ุชุบูŠูŠุฑุงุช
            ุชูˆุซูŠู‚ ุงู„ุงุญุชูŠุงุฌุงุช           ุงู„ุชุญู‚ู‚ ู…ู† ุงู„ู…ุชุทู„ุจุงุช      ุฅุฏุงุฑุฉ ุงู„ุฅุตุฏุงุฑุงุช
                

3. ู…ูˆุงุตูุงุช ู…ุชุทู„ุจุงุช ุงู„ู†ุธุงู… (SRS)

๐Ÿ“„ ู…ุง ู‡ูŠ ู…ูˆุงุตูุงุช ู…ุชุทู„ุจุงุช ุงู„ู†ุธุงู…ุŸ

ู…ูˆุงุตูุงุช ู…ุชุทู„ุจุงุช ุงู„ู†ุธุงู… (SRS) ุชูˆุซู‚ ู…ุชุทู„ุจุงุช ุงู„ู†ุธุงู…. ูˆู‡ูŠ ุงู„ุจูŠุงู† ุงู„ุฑุณู…ูŠ ู„ู…ุง ู‡ูˆ ู…ุทู„ูˆุจ ู…ู† ุงู„ู†ุธุงู….

ุงู„ุฎุตุงุฆุต ุงู„ุฑุฆูŠุณูŠุฉ ู„ู€ SRS

โš ๏ธ ู…ู†ุธูˆุฑ Agile

ุชุฌุงุฏู„ ุงู„ุนุฏูŠุฏ ู…ู† ู…ู†ู‡ุฌูŠุงุช Agile ุฃู† ุฅู†ุชุงุฌ SRS ุฑุณู…ูŠ ู‡ูˆ ู…ุถูŠุนุฉ ู„ู„ูˆู‚ุช ู„ุฃู† ุงู„ู…ุชุทู„ุจุงุช ุชุชุบูŠุฑ ุจุณุฑุนุฉ. ูˆู…ุน ุฐู„ูƒุŒ ู„ุง ูŠุฒุงู„ ู‡ู†ุงูƒ ู…ุณุชูˆู‰ ู…ุนูŠู† ู…ู† ุชูˆุซูŠู‚ ุงู„ู…ุชุทู„ุจุงุช ู‚ูŠู…ู‹ุง ู„ู„ุชูˆุงุตู„ ูˆุฅู…ูƒุงู†ูŠุฉ ุงู„ุชุชุจุน.

ุทุฑู‚ ูƒุชุงุจุฉ SRS

ุงู„ุทุฑูŠู‚ุฉ ุงู„ูˆุตู ุงู„ู…ุฒุงูŠุง ุงู„ุนูŠูˆุจ
ุงู„ู„ุบุฉ ุงู„ุทุจูŠุนูŠุฉ ูŠุณุชุฎุฏู… ุฌู…ู„ู‹ุง ู…ูƒู…ู„ุฉ ุจู…ุฎุทุทุงุช ูˆุฌุฏุงูˆู„ ุณู‡ู„ ุงู„ูƒุชุงุจุฉุŒ ู…ูู‡ูˆู… ุนุงู„ู…ูŠู‹ุง ุบุงู…ุถุŒ ุบูŠุฑ ุฏู‚ูŠู‚
ุงู„ู„ุบุฉ ุงู„ุทุจูŠุนูŠุฉ ุงู„ู…ู†ุธู…ุฉ ูŠุณุชุฎุฏู… ู„ุบุฉ ู…ู‚ูŠุฏุฉ ุชุชุจุน ู…ุนูŠุงุฑ/ู‚ุงู„ุจ ุซุงุจุช ุฃูƒุซุฑ ุงุชุณุงู‚ู‹ุงุŒ ุฃู‚ู„ ุบู…ูˆุถู‹ุง ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุตุงุฑู…ู‹ุงุŒ ูŠุชุทู„ุจ ุงู†ุถุจุงุทู‹ุง
ุงู„ุฑู…ูˆุฒ ุงู„ุฑุณูˆู…ูŠุฉ (UML) ูŠุณุชุฎุฏู… ู†ู…ุงุฐุฌ ุฑุณูˆู…ูŠุฉ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰ ุชุนู„ูŠู‚ุงุช ู†ุตูŠุฉ ู…ุฑุฆูŠุŒ ุฏู‚ูŠู‚ุŒ ุฑู…ุฒ ู‚ูŠุงุณูŠ ูŠุชุทู„ุจ ุชุฏุฑูŠุจู‹ุงุŒ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ู…ุนู‚ุฏู‹ุง
ู„ุบุงุช ูˆุตู ุงู„ุชุตู…ูŠู… ูŠุณุชุฎุฏู… ู„ุบุฉ ู…ุซู„ ู„ุบุฉ ุงู„ุจุฑู…ุฌุฉ ุฏู‚ูŠู‚ ุฌุฏู‹ุงุŒ ู‚ุงุจู„ ู„ู„ุชู†ููŠุฐ ุชู‚ู†ูŠุŒ ู„ูŠุณ ุตุฏูŠู‚ู‹ุง ู„ู„ู…ุณุชุฎุฏู…
ุงู„ู…ูˆุงุตูุงุช ุงู„ุฑูŠุงุถูŠุฉ ูŠุณุชุฎุฏู… ุฑู…ูˆุฒู‹ุง ุชุนุชู…ุฏ ุนู„ู‰ ู…ูุงู‡ูŠู… ุฑูŠุงุถูŠุฉ ุบูŠุฑ ุบุงู…ุถุŒ ู‚ุงุจู„ ู„ู„ุฅุซุจุงุช ุตุนุจ ุงู„ูู‡ู…ุŒ ูŠุณุชุบุฑู‚ ูˆู‚ุชู‹ุง ุทูˆูŠู„ุงู‹

4. ู†ู…ุฐุฌุฉ ุงู„ู†ุทุงู‚

ุงู„ุชุนุฑูŠู ูˆุงู„ุบุฑุถ

๐ŸŽฏ ู…ุง ู‡ูŠ ู†ู…ุฐุฌุฉ ุงู„ู†ุทุงู‚ุŸ

ู†ู…ุฐุฌุฉ ุงู„ู†ุทุงู‚ ุชู„ุชู‚ุท ุฃู‡ู… ุงู„ูุฆุงุช ูˆุงุฑุชุจุงุทุงุชู‡ุง ุงู„ุชูŠ ูŠุฌุจ ุชุฎุฒูŠู† ุจูŠุงู†ุงุชู‡ุง.

  • ุชุฑูƒุฒ ุนู„ู‰ ุงู„ุฃุดูŠุงุก ุงู„ู…ูˆุฌูˆุฏุฉ ุฃูˆ ุงู„ุฃุญุฏุงุซ ุงู„ุชูŠ ุชุญุฏุซ
  • ุชูˆุตู ููŠ ู…ุฎุทุท ุงู„ูุฆุงุช
  • ุชูˆูุฑ ู‚ุงู…ูˆุณ ุงู„ู…ุตุทู„ุญุงุช

ู…ุตุงุฏุฑ ุนู†ุงุตุฑ ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚

ุฃู†ูˆุงุน ุงู„ูุฆุงุช

๐Ÿ“ฆ ูุฆุงุช ุงู„ูุฆุงุช

  • ูƒุงุฆู†ุงุช ุงู„ุฃุนู…ุงู„: ุงู„ุทู„ุจุงุชุŒ ุงู„ุญุณุงุจุงุชุŒ ุงู„ููˆุงุชูŠุฑุŒ ุงู„ุนู‚ูˆุฏ
  • ุงู„ูƒุงุฆู†ุงุช ูˆุงู„ู…ูุงู‡ูŠู… ุงู„ูˆุงู‚ุนูŠุฉ: ุงู„ู…ูˆุฑุฏูˆู†ุŒ ุงู„ุนู…ู„ุงุกุŒ ุงู„ู…ูˆุธููˆู†ุŒ ุงู„ู…ู†ุชุฌุงุช
  • ุงู„ุฃุญุฏุงุซ: ูˆุตูˆู„/ู…ุบุงุฏุฑุฉ ุงู„ุทุงุฆุฑุงุชุŒ ุงู„ู…ุจูŠุนุงุชุŒ ุงู„ุญุฌูˆุฒุงุชุŒ ุงู„ู…ุดุชุฑูŠุงุชุŒ ุงู„ุชุฃุฌูŠุฑุงุช

๐Ÿ’ก ุงู„ู…ุจุฏุฃ ุงู„ุฑุฆูŠุณูŠ

ุญุฏุฏ ูู‚ุท ุงู„ูุฆุงุช ูˆุงู„ุงุฑุชุจุงุทุงุช ุฐุงุช ุงู„ุตู„ุฉ - ุชู„ูƒ ุงู„ุฃุณุงุณูŠุฉ ูˆุณุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ุฏุงุฆู…ู‹ุงุ› ู„ูŠุณุช ุนุงุจุฑุฉ. ู‡ุฐุง ูŠุคุฏูŠ ุฅู„ู‰ ู†ุธุงู… ู…ุณุชู‚ุฑ.

โš ๏ธ ู…ู„ุงุญุธุฉ ู…ู‡ู…ุฉ

ูŠุนุชู…ุฏ ุชุญู„ูŠู„ ู…ุชุทู„ุจุงุช ุงู„ู…ุณุชุฎุฏู… ุฅู„ู‰ ูุฆุงุช ูˆุงุฑุชุจุงุทุงุช ุนู„ู‰ ุงู„ุญูƒู… ูˆุงู„ุฎุจุฑุฉ ูˆุทุจูŠุนุฉ ุงู„ู…ุดูƒู„ุฉ. ุนุงุฏุฉ ู„ุง ูŠูˆุฌุฏ ุชุญู„ูŠู„ ูˆุงุญุฏ ุตุญูŠุญ!

ุชุญุฏูŠุฏ ุงู„ูุฆุงุช ูˆุงู„ุงุฑุชุจุงุทุงุช

๐Ÿ” ูƒูŠููŠุฉ ุชุญุฏูŠุฏ ุงู„ูุฆุงุช

ุงุจุญุซ ุนู† ุงู„ุฃุดูŠุงุก ุฃูˆ ุงู„ู…ูุงู‡ูŠู… ุงู„ุชูŠ ุชุญุฏุซ ุจุดูƒู„ ุทุจูŠุนูŠ ููŠ ู…ุชุทู„ุจุงุช ุงู„ู…ุณุชุฎุฏู…:

  • ุงู„ูุฆุงุช ุชุธู‡ุฑ ูƒู€ ุฃุณู…ุงุก ุฃูˆ ุนุจุงุฑุงุช ุงุณู…ูŠุฉ
  • ุงู„ุงุฑุชุจุงุทุงุช ุชุธู‡ุฑ ูƒู€ ุฃูุนุงู„ ุฃูˆ ุนุจุงุฑุงุช ูุนู„ูŠุฉ

โœ… ุฃูุถู„ ุงู„ู…ู…ุงุฑุณุงุช

  • ุถุน ุฌู…ูŠุน ุงู„ู…ุตุทู„ุญุงุช ููŠ ุตูŠุบุฉ ุงู„ู…ูุฑุฏ (ููŠู„ู…ุŒ ูˆู„ูŠุณ ุฃูู„ุงู…)
  • ุงุณุชุฎุฏู… ุงู„ุตูŠุบุฉ ุงู„ูุนุงู„ุฉ ู„ู„ุงุฑุชุจุงุทุงุช
  • ุญุฏุฏ ูู‚ุท ุงู„ูุฆุงุช/ุงู„ุงุฑุชุจุงุทุงุช ุฐุงุช ุงู„ุตู„ุฉ
  • ุฑูƒุฒ ุนู„ู‰ ุชู„ูƒ ุงู„ุฃุณุงุณูŠุฉ ูˆุณุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ุฏุงุฆู…ู‹ุง
  • ุชุฌู†ุจ ุงู„ู…ูุงู‡ูŠู… ุงู„ุนุงุจุฑุฉ ุฃูˆ ุงู„ู…ุคู‚ุชุฉ

๐Ÿ“ ู…ุซุงู„: ุฅูŠุฌุงุฏ ุงู„ูุฆุงุช ู…ู† ุงู„ู†ุต

"ูŠุฌุจ-ุฃู†-ูŠูƒูˆู†-ุงู„ู†ุธุงู…-ู‚ุงุฏุฑู‹ุง-ุนู„ู‰-ุชุณุฌูŠู„-ุฃูŠ-ุฃูู„ุงู…-ูŠุชู…-ุจูŠุนู‡ุง-ูˆุชุฃุฌูŠุฑู‡ุง-ูˆู…ู†-ู‚ุจู„-ู…ู†-(ุนู…ูŠู„)."

ุงู„ูุฆุงุช ุงู„ู…ุญุฏุฏุฉ:

  • ููŠู„ู… - ุนุจุงุฑุฉ ุงุณู…ูŠุฉ
  • ุนู…ูŠู„ - ุงุณู… ุถู…ู†ูŠ ุจู€"ู…ู† ู‚ุจู„ ู…ู†"

ุงู„ุงุฑุชุจุงุทุงุช ุงู„ู…ุญุฏุฏุฉ:

  • ุงู„ุนู…ูŠู„ ูŠุดุชุฑูŠ ููŠู„ู… - "ุจุงุนุช" ูŠุดูŠุฑ ุฅู„ู‰ ุนู„ุงู‚ุฉ ุงู„ุดุฑุงุก
  • ุงู„ุนู…ูŠู„ ูŠุคุฌุฑ ููŠู„ู… - "ุฃุฌุฑุช" ูŠุดูŠุฑ ุฅู„ู‰ ุนู„ุงู‚ุฉ ุงู„ุชุฃุฌูŠุฑ

ุชุญุฏูŠุฏ ุงู„ุงุฑุชุจุงุทุงุช

๐Ÿ”— ู‚ูˆุงุนุฏ ุชุญุฏูŠุฏ ุงู„ุงุฑุชุจุงุทุงุช

ุชู…ุซู„ ุงู„ุงุฑุชุจุงุทุงุช ุงู„ุนู„ุงู‚ุงุช ุงู„ู‡ูŠูƒู„ูŠุฉ ุจูŠู† ุงู„ูุฆุงุช:

  • ุงุจุญุซ ุนู† ุงู„ุฃูุนุงู„ ุงู„ุชูŠ ุชุฑุจุท ุงู„ุฃุณู…ุงุก (ู…ุซู„ "ุงู„ุนู…ูŠู„ ูŠุคุฌุฑ ููŠู„ู…")
  • ูŠุฌุจ ุฃู† ุชุตู ุงู„ุงุฑุชุจุงุทุงุช ุนู„ุงู‚ุงุช ุฏุงุฆู…ุฉุŒ ูˆู„ูŠุณุช ุฃุญุฏุงุซู‹ุง ุนุงุจุฑุฉ
  • ูŠุฌุจ ุฃู† ุชุฌูŠุจ: "ู…ุง ู‡ูŠ ุงู„ุนู„ุงู‚ุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ุจูŠู† ู‡ุฐู‡ ุงู„ูุฆุงุชุŸ"
ู†ุต ุงู„ู…ุชุทู„ุจ ุงู„ูุฆุงุช ุงู„ุงุฑุชุจุงุท
"ูŠู…ูƒู† ู„ู„ุฃุนุถุงุก ุฅุฌุฑุงุก ุญุฌูˆุฒุงุช ู„ุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ" ุนุถูˆุŒ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ ุงู„ุนุถูˆ ูŠุญุฌุฒ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ
"ุงู„ููŠู„ู… ู„ู‡ ู†ุณุฎ ุชุฃุฌูŠุฑ" ููŠู„ู…ุŒ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ ุงู„ููŠู„ู… ู„ู‡ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ ู…ุงุฏูŠุฉ
"ูŠู‚ุฏู… ุงู„ุนู…ู„ุงุก ุชู‚ูŠูŠู…ุงุช ู„ู„ุฃูู„ุงู…" ุนู…ูŠู„ุŒ ุชู‚ูŠูŠู…ุŒ ููŠู„ู… ุงู„ุนู…ูŠู„ ูŠู‚ุฏู… ุชู‚ูŠูŠู…ุŒ ุงู„ุชู‚ูŠูŠู… ุฎุงุต ุจุงู„ููŠู„ู…

ุชุญุฏูŠุฏ ุงู„ุณู…ุงุช

๐Ÿ“Š ูƒูŠููŠุฉ ุฅูŠุฌุงุฏ ุงู„ุณู…ุงุช

  • ุงู„ุณู…ุงุช ุชุชูˆุงูู‚ ุนุงุฏุฉ ู…ุน ุฃุณู…ุงุก ุชู„ูŠู‡ุง ุนุจุงุฑุงุช ู…ู„ูƒูŠุฉ
    ู…ุซุงู„: "ูƒู„ู…ุฉ ู…ุฑูˆุฑ ุงู„ุทุงู„ุจ"ุŒ "ุนู†ูˆุงู† ุงู„ุทุงู„ุจ"
  • ุงู„ุตูุงุช ุชู…ุซู„ ุนุงุฏุฉ ู‚ูŠู…ู‹ุง ู…ุญุฏุฏุฉ ู…ุนุฏูˆุฏุฉ
    ู…ุซุงู„: "ูุตู„ ุงู„ุฎุฑูŠู"ุŒ "ุฏุฑุฌุฉ ุงู„ุฏูƒุชูˆุฑุงู‡"
  • ุญุฏุฏ ูู‚ุท ุงู„ุณู…ุงุช ุงู„ุชูŠ ุชุฑุชุจุท ู…ุจุงุดุฑุฉ ุจู…ุฌุงู„ ุงู„ุชุทุจูŠู‚

โš ๏ธ ู…ู„ุงุญุธุฉ ู…ู‡ู…ุฉ

ู…ุนุธู… ุงู„ุณู…ุงุช ู„ู† ุชูุนุทู‰ ููŠ ุจูŠุงู† ุงู„ู…ุชุทู„ุจุงุช ูˆุณูŠุชุนูŠู† ุงู„ุญุตูˆู„ ุนู„ูŠู‡ุง ู…ู† ุฎุจุฑุงุก ุงู„ู…ุฌุงู„ ุฃูˆ ูˆุซุงุฆู‚ ุงู„ุชุทุจูŠู‚.

๐Ÿ“ ู…ุซุงู„: ุงุณุชุฎุฑุงุฌ ุงู„ุณู…ุงุช

"ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุช ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุฅุฏุฎุงู„ ูˆุชุญุฏูŠุซ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชุงู„ูŠุฉ ุญูˆู„ ุฌู…ูŠุน ุงู„ุนู…ู„ุงุก: ุงู„ุงุณู…ุŒ ุงู„ุนู†ูˆุงู†ุŒ ุฑู‚ู… ุงู„ู‡ุงุชูุŒ ุงู„ุนู…ุฑุŒ ุงู„ุฌู†ุณุŒ ูˆุนู†ูˆุงู† ุงู„ุจุฑูŠุฏ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠ."

ุงู„ูุฆุฉ: ุงู„ุนู…ูŠู„

ุงู„ุณู…ุงุช ุงู„ู…ุญุฏุฏุฉ:

  • ุงู„ุงุณู…
  • ุงู„ุนู†ูˆุงู†
  • ุฑู‚ู… ุงู„ู‡ุงุชู
  • ุงู„ุนู…ุฑ
  • ุงู„ุฌู†ุณ
  • ุงู„ุจุฑูŠุฏ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠ

ุชู‚ูŠูŠู… ุงู„ูุฆุงุช

โœ”๏ธ ู‚ุงุฆู…ุฉ ู…ุฑุงุฌุนุฉ ุชู‚ูŠูŠู… ุงู„ูุฆุงุช

ุงุทุฑุญ ู‡ุฐู‡ ุงู„ุฃุณุฆู„ุฉ ุญูˆู„ ูƒู„ ูุฆุฉ ู…ุญุฏุฏุฉ:

ุงู„ุณุคุงู„ ุงู„ุฅุฌุฑุงุก ุฅุฐุง ูƒุงู†ุช ุงู„ุฅุฌุงุจุฉ ู†ุนู… ุงู„ุณุจุจ
ู‡ู„ ุงู„ูุฆุฉ ุบูŠุฑ ุฐุงุช ุตู„ุฉ ุจู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ุŸ ุงุญุฐู ู‚ู… ุจุชุถู…ูŠู† ุงู„ูุฆุงุช ุงู„ุชูŠ ุชู…ุซู„ ุจูŠุงู†ุงุช ุฏุงุฆู…ุฉ ูŠุญุชุงุฌู‡ุง ุงู„ู†ุธุงู… ูู‚ุท
ู‡ู„ ุงู„ูุฆุฉ ุบุงู…ุถุฉ (ุบูŠุฑ ู…ุญุฏุฏุฉ ุฌูŠุฏู‹ุง)ุŸ ุงุฌุนู„ู‡ุง ู…ุญุฏุฏุฉ ุฃูˆ ุงุญุฐู ูŠุฌุจ ุฃู† ุชูƒูˆู† ุงู„ูุฆุฉ ู…ุญุฏุฏุฉ ูˆู…ุญุฏุฏุฉ ุฌูŠุฏู‹ุง
ู‡ู„ ู‡ู†ุงูƒ ูุฆุงุช ู…ูƒุฑุฑุฉุŸ ุงุญุชูุธ ุจุงู„ุฃูƒุซุฑ ูˆุตููŠุฉ ุชุฌู†ุจ ุงู„ุชูƒุฑุงุฑ ูˆุงู„ุงู„ุชุจุงุณ
ู‡ู„ ูŠุฌุจ ุฃู† ุชูƒูˆู† ุงู„ูุฆุฉ ุญู‚ู‹ุง ุณู…ุฉุŸ ููƒุฑ ููŠ ุงู„ู…ุชุทู„ุจุงุช ุงุณุฃู„: ู‡ู„ ุงู„ู…ูู‡ูˆู… ุชุงุจุน ุฃู… ู…ุณุชู‚ู„ุŸ
ู‡ู„ ูŠุตู ุงุณู… ุงู„ูุฆุฉ ุฏูˆุฑู‹ุงุŸ ูƒู† ุญุฐุฑู‹ุง ุชุธู‡ุฑ ุงู„ุฃุฏูˆุงุฑ ุฃูŠุถู‹ุง ูƒุฃุณู…ุงุก ูˆู„ูƒู† ู‚ุฏ ู„ุง ุชูƒูˆู† ูุฆุงุช
ู‡ู„ ุชุตู ุงู„ูุฆุฉ ุนู…ู„ูŠุฉ/ุฅุฌุฑุงุกุŸ ุงุญุฐู ุชู…ุซู„ ุงู„ูุฆุงุช ุฃุดูŠุงุกุŒ ูˆู„ูŠุณ ุฅุฌุฑุงุกุงุช
ู‡ู„ ุชุตู ุงู„ูุฆุฉ ุจู†ูŠุงุช ุงู„ุชู†ููŠุฐุŸ ุงุญุฐู ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ ู…ุณุชู‚ู„ ุนู† ุงู„ุชู†ููŠุฐ

โš ๏ธ ู‚ุงุนุฏุฉ ุญุฑุฌุฉ: ุงู„ุจูŠุงู†ุงุช ุงู„ุฏุงุฆู…ุฉ ู…ู‚ุงุจู„ ุงู„ุนุงุจุฑุฉ

ูŠุฌุจ ุฃู† ุชู…ุซู„ ุงู„ูุฆุฉ ุจูŠุงู†ุงุช ุฏุงุฆู…ุฉุŒ ูˆู„ูŠุณุช ุจูŠุงู†ุงุช ุนุงุจุฑุฉ.

ุฏุงุฆู…: ุงู„ุจูŠุงู†ุงุช ุงู„ุชูŠ ุชุญุชุงุฌ ุฅู„ู‰ ุชุฎุฒูŠู†ู‡ุง ููŠ ู…ู„ูุงุช ุฃูˆ ู‚ุงุนุฏุฉ ุจูŠุงู†ุงุช (ู…ุซู„: ุงู„ุนู…ูŠู„ุŒ ุงู„ููŠู„ู…ุŒ ุงู„ุทู„ุจ)

ุนุงุจุฑ: ุจูŠุงู†ุงุช ู…ุคู‚ุชุฉ ุฃุซู†ุงุก ุงู„ุชู†ููŠุฐ (ู…ุซู„: ู†ุชุงุฆุฌ ุงู„ุจุญุซุŒ ุญุงู„ุฉ ุงู„ุชุญู‚ู‚)

ุชู‚ูŠูŠู… ุงู„ุงุฑุชุจุงุทุงุช

๐Ÿ”— ู‚ุงุฆู…ุฉ ู…ุฑุงุฌุนุฉ ุชู‚ูŠูŠู… ุงู„ุงุฑุชุจุงุทุงุช

ุงู„ุณุคุงู„ ุงู„ุฅุฌุฑุงุก ุฅุฐุง ูƒุงู†ุช ุงู„ุฅุฌุงุจุฉ ู†ุนู… ุงู„ุณุจุจ
ู‡ู„ ุงู„ุงุฑุชุจุงุท ุบูŠุฑ ุฐูŠ ุตู„ุฉ ุจู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ุŸ ุงุญุฐู ู‚ู… ุจุชุถู…ูŠู† ุงู„ุนู„ุงู‚ุงุช ุงู„ุถุฑูˆุฑูŠุฉ ูู‚ุท
ู‡ู„ ูŠุตู ุงู„ุงุฑุชุจุงุท ุนู…ู„ูŠุฉุŸ ุงุญุฐู ูŠุฌุจ ุฃู† ูŠุตู ุฎุงุตูŠุฉ ู‡ูŠูƒู„ูŠุฉุŒ ูˆู„ูŠุณ ุญุฏุซู‹ุง ุนุงุจุฑู‹ุง
ู‡ู„ ูŠู…ูƒู† ุชุญู„ูŠู„ ุงู„ุงุฑุชุจุงุทุงุช ุงู„ุซู„ุงุซูŠุฉ ุฅู„ู‰ ุซู†ุงุฆูŠุฉุŸ ุญู„ู„ ุงุฌุนู„ ุงู„ู†ู…ูˆุฐุฌ ุจุณูŠุทู‹ุง ู‚ุฏุฑ ุงู„ุฅู…ูƒุงู†
ู‡ู„ ู‡ูˆ ุงุฑุชุจุงุท ู…ุดุชู‚ุŸ ุงุญุฐู ูŠู‚ุฏู… ุชูƒุฑุงุฑู‹ุง - ูŠู…ูƒู† ุญุณุงุจู‡ ู…ู† ุงุฑุชุจุงุทุงุช ุฃุฎุฑู‰
ู‡ู„ ูŠุตู ุจู†ูŠุงุช ุงู„ุชู†ููŠุฐุŸ ุงุญุฐู ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ ู…ุณุชู‚ู„ ุนู† ุงู„ุชู†ููŠุฐ

๐Ÿ“ ู…ุซุงู„: ุงู„ุงุฑุชุจุงุท ุงู„ู…ุดุชู‚

    A โ”€โ”€โ”€โ”€Xโ”€โ”€โ”€โ”€ B โ”€โ”€โ”€โ”€Yโ”€โ”€โ”€โ”€ C
    
    ุฅุฐุง ูƒุงู† ุงู„ุงุฑุชุจุงุท X ูŠุนู†ูŠ "A ูŠุฑุชุจุท ุจู€ B"
    ูˆุงู„ุงุฑุชุจุงุท Y ูŠุนู†ูŠ "B ูŠุฑุชุจุท ุจู€ C"
    
    ุฅุฐู† ูŠู…ูƒู†ู†ุง ุงุดุชู‚ุงู‚: A ูŠุฑุชุจุท ุจู€ C (ู…ู† ุฎู„ุงู„ B)
    
    ู„ุฐู„ูƒุŒ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุงุฑุชุจุงุท Z: A โ”€โ”€โ”€โ”€Zโ”€โ”€โ”€โ”€ C
    ูู‡ูˆ ุงุฑุชุจุงุท ู…ุดุชู‚ ูˆูŠุฌุจ ุญุฐูู‡!
                    

ู„ู…ุงุฐุงุŸ ู„ุฃู† Z ุฒุงุฆุฏ ุนู† ุงู„ุญุงุฌุฉ - ูŠู…ูƒู†ู†ุง ุฅูŠุฌุงุฏ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† A ูˆ C ุจู…ุชุงุจุนุฉ X ุซู… Y.

ุชู‚ูŠูŠู… ุงู„ุณู…ุงุช

๐Ÿ“Š ู‚ุงุฆู…ุฉ ู…ุฑุงุฌุนุฉ ุชู‚ูŠูŠู… ุงู„ุณู…ุงุช

ุงู„ุณุคุงู„ ู…ุง ูŠุฌุจ ุงู„ุชุญู‚ู‚ ู…ู†ู‡ ุงู„ุณุจุจ
ู‡ู„ ุงู„ุณู…ุงุช ู…ุฑุชุจุทุฉ ุงุฑุชุจุงุทู‹ุง ูˆุซูŠู‚ู‹ุง ุจูุฆุชู‡ุงุŸ ูŠุฌุจ ุฃู† ุชู†ุชู…ูŠ ูƒู„ ุณู…ุฉ ู…ู†ุทู‚ูŠู‹ุง ุฅู„ู‰ ูุฆุชู‡ุง ูŠุฌุจ ุฃู† ุชูƒูˆู† ุงู„ูุฆุฉ ุจุณูŠุทุฉ ูˆู…ุชุฑุงุจุทุฉ
ู‡ู„ ูŠุฌุจ ุฃู† ุชูƒูˆู† ุฃูŠ ุณู…ุงุช ุญู‚ู‹ุง ูุฆุงุชุŸ ู‡ู„ ุงู„ู…ูู‡ูˆู… ูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ูุฆุฉุŸ ุฅุฐุง ูƒุงู† ู…ุณุชู‚ู„ุงู‹ ูˆูŠุญุชุงุฌ ุฅู„ู‰ ุณู…ุงุช ู…ุชุนุฏุฏุฉุŒ ุงุฌุนู„ู‡ ูุฆุฉ
ู‡ู„ ูŠุฌุจ ุฃู† ุชูƒูˆู† ุฃูŠ ุณู…ุงุช ููŠ ูุฆุฉ ุงุฑุชุจุงุทุŸ ู‡ู„ ุชุนุชู…ุฏ ุงู„ุณู…ุฉ ุนู„ู‰ ูˆุฌูˆุฏ ุงู„ุงุฑุชุจุงุทุŸ ุงู„ูƒู…ูŠุฉ ุงู„ู…ุจุงุนุฉ ุชุนุชู…ุฏ ุนู„ู‰ ุงุฑุชุจุงุท ุดุฑุงุก ุงู„ุนู…ูŠู„-ุงู„ููŠู„ู…
ู‡ู„ ุชู… ุชุถู…ูŠู† ู…ุนุฑูุงุช ุงู„ูƒุงุฆู†ุงุชุŸ ุชุญู‚ู‚ ู…ู† ุญู‚ูˆู„ ID ุงู„ู…ุณุชุฎุฏู…ุฉ ู„ู„ุนู„ุงู‚ุงุช ูŠุฌุจ ุฃู„ุง ุชูƒูˆู† ู…ุนุฑูุงุช ุงู„ูƒุงุฆู†ุงุช ููŠ ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚!

โŒ ุฎุทุฃ ุดุงุฆุน: ุงุณุชุฎุฏุงู… ู…ุนุฑูุงุช ุงู„ูƒุงุฆู†ุงุช ูƒุณู…ุงุช

ุฎุทุฃ:

ุงู„ุนู…ูŠู„
- ู…ุนุฑู ุงู„ุนู…ูŠู„
- ู…ุนุฑู ุงู„ููŠู„ู…  โ† ู‡ุฐุง ู…ุนุฑู ูƒุงุฆู† ูŠุดูŠุฑ ุฅู„ู‰ ุงู„ููŠู„ู…!
                

ุตุญูŠุญ:

ุงู„ุนู…ูŠู„ โ”€โ”€โ”€โ”€ูŠุดุชุฑูŠโ”€โ”€โ”€โ†’ ุงู„ููŠู„ู…
                

ู„ู…ุงุฐุงุŸ ููŠ ู†ู…ุฐุฌุฉ ุงู„ู†ุทุงู‚ุŒ ุชูุธู‡ุฑ ุงู„ุนู„ุงู‚ุงุช ู…ู† ุฎู„ุงู„ ุงู„ุงุฑุชุจุงุทุงุชุŒ ูˆู„ูŠุณ ู…ู† ุฎู„ุงู„ ุณู…ุงุช ID. ู…ุนุฑูุงุช ุงู„ูƒุงุฆู†ุงุช ู‡ูŠ ุชูุงุตูŠู„ ุชู†ููŠุฐ!

ุชุญุฏูŠุฏ ุงู„ุชูุงุตูŠู„

๐Ÿ“‹ ู…ูˆุงุตูุงุช ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ ุงู„ูƒุงู…ู„

ู„ูƒู„ ูุฆุฉ:

ู„ูƒู„ ุณู…ุฉ:

ู„ูƒู„ ุงุฑุชุจุงุท:

๐Ÿ“ ู…ุซุงู„: ุชุญุฏูŠุฏ ุงู„ุณู…ุงุช ุงู„ูƒุงู…ู„

ุงู„ููŠู„ู…
- ู…ุนุฑู ุงู„ููŠู„ู…: ุณู„ุณู„ุฉ
- ุงู„ุนู†ูˆุงู†: ุณู„ุณู„ุฉ
- ุงู„ู…ู…ุซู„ ุงู„ุฑุฆูŠุณูŠ[0..*]: ุณู„ุณู„ุฉ
- ุงู„ู…ุฎุฑุฌ: ุณู„ุณู„ุฉ
- ุงู„ู…ู†ุชุฌ: ุณู„ุณู„ุฉ
- ุงู„ู†ูˆุน: ุณู„ุณู„ุฉ
- ุงู„ู…ู„ุฎุต: ุณู„ุณู„ุฉ
- ุณู†ุฉ ุงู„ุฅุตุฏุงุฑ: ุนุฏุฏ ุตุญูŠุญ
- ู…ุฏุฉ ุงู„ุนุฑุถ: ุนุฏุฏ ุตุญูŠุญ
- ุณุนุฑ ุงู„ุจูŠุน: ุญู‚ูŠู‚ูŠ
- ุณุนุฑ ุงู„ุชุฃุฌูŠุฑ: ุญู‚ูŠู‚ูŠ
- ู…ุงุฏูŠ: ู…ู†ุทู‚ูŠ
- ุฑู‚ู…ูŠ: ู…ู†ุทู‚ูŠ
                

5. ุฏุฑุงุณุฉ ุญุงู„ุฉ ู…ุญู„ ุงู„ุฃูู„ุงู… ุงู„ูƒุงู…ู„ุฉ

ุจูŠุงู† ุงู„ู…ุชุทู„ุจุงุช

๐ŸŽฌ ู…ุชุทู„ุจุงุช ู†ุธุงู… ู…ุญู„ ุงู„ุฃูู„ุงู…

ููŠู…ุง ูŠู„ูŠ ู…ุชุทู„ุจุงุช ู†ุธุงู… ู‚ุงุฆู… ุนู„ู‰ ุงู„ูˆูŠุจ ู„ุฃุชู…ุชุฉ ุฅุฏุงุฑุฉ ุจูŠุน ูˆุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ู„ู…ุญู„ ุฃูู„ุงู…:

  1. ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุงู„ู†ุธุงู… ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ ูˆุงู„ุฑู‚ู…ูŠุฉ.
  2. ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุชุณุฌูŠู„ ุฃูŠ ุฃูู„ุงู… ุชูุจุงุน ูˆุชูุคุฌุฑ ูˆู…ู† ู‚ุจู„ ู…ู†.
  3. ุจุงู„ู†ุณุจุฉ ู„ู„ุฃูู„ุงู… ุงู„ู…ุจุงุนุฉุŒ ูŠุฌุจ ุชุณุฌูŠู„ ุงู„ูƒู…ูŠุฉ ุงู„ู…ุจุงุนุฉุ› ุจุงู„ู†ุณุจุฉ ู„ุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉุŒ ูŠุฌุจ ุชุณุฌูŠู„ ุฃูŠ ู†ุณุฎุฉ ุชู… ุชุฃุฌูŠุฑู‡ุง ูˆู…ุชู‰ ูŠุฌุจ ุฅุฑุฌุงุนู‡ุง.
  4. ูŠุฌุจ ุฃู† ูŠุชุชุจุน ุงู„ู†ุธุงู… ุงู„ุชุฃุฌูŠุฑุงุช ุงู„ู…ุชุฃุฎุฑุฉ ู„ู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ ูˆุฅุฑุณุงู„ ุฅุดุนุงุฑุงุช ุจุงู„ุจุฑูŠุฏ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠ ู„ู„ุนู…ู„ุงุก ุงู„ุฐูŠู† ู„ุฏูŠู‡ู… ุฃูู„ุงู… ู…ุชุฃุฎุฑุฉ.
  5. ุณูŠูƒูˆู† ู‡ู†ุงูƒ ุฎูŠุงุฑ ุนุถูˆูŠุฉ ุงู„ุนู…ูŠู„ ู…ู‚ุงุจู„ ุฑุณูˆู… ุณู†ูˆูŠุฉุŒ ู…ู…ุง ูŠุคู‡ู„ ุงู„ุนุถูˆ ู„ู„ุญุตูˆู„ ุนู„ู‰ ุฎุตูˆู…ุงุช (10ูช) ุนู„ู‰ ุจูŠุน ูˆุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู….
  6. ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุงู„ุฃุนุถุงุก ู‚ุงุฏุฑูŠู† ุนู„ู‰ ุฅุฌุฑุงุก ุญุฌูˆุฒุงุช ู„ุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ ุฅู…ุง ุดุฎุตูŠู‹ุง ููŠ ุงู„ู…ุญู„ุŒ ุฃูˆ ุนุจุฑ ุงู„ู‡ุงุชู ุฃูˆ ุนุจุฑ ุงู„ูˆูŠุจ.
  7. ูŠู…ูƒู† ู„ู„ุนุถูˆ ุญุฌุฒ ุฃูƒุซุฑ ู…ู† ุฎู…ุณุฉ ุฃูู„ุงู… ู…ุงุฏูŠุฉ ููŠ ุฃูŠ ูˆู‚ุช ูˆุงุญุฏุŒ ูˆู„ูƒู† ู„ุง ูŠูˆุฌุฏ ุญุฏ ุนู„ู‰ ุนุฏุฏ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ ุงู„ุชูŠ ูŠู…ูƒู† ู„ู„ุนุถูˆ ุฃูˆ ุบูŠุฑ ุงู„ุนุถูˆ ุชุฃุฌูŠุฑู‡ุง ููŠ ุฃูŠ ูˆู‚ุช.
  8. ูƒุฎุงุตูŠุฉ ู…ุถุงูุฉุŒ ูŠุฑุบุจ ุงู„ู…ุญู„ ููŠ ุงู„ุณู…ุงุญ ู„ู„ุนู…ู„ุงุก (ุณูˆุงุก ุฃุนุถุงุก ุฃูˆ ุบูŠุฑ ุฃุนุถุงุก) ุจุฅุฏุฎุงู„ุŒ ุนุจุฑ ุงู„ูˆูŠุจุŒ ุชู‚ูŠูŠู…ุงุช ู…ุตุบุฑุฉ (ุญุชู‰ 100 ูƒู„ู…ุฉ) ูˆุชู‚ูŠูŠู… (ู…ู† 1ุŒ ุงู„ุฃุฏู†ู‰ุŒ ุฅู„ู‰ 10ุŒ ุงู„ุฃุนู„ู‰) ู„ู„ุฃูู„ุงู… ุงู„ุชูŠ ุงุดุชุฑูˆู‡ุง ุฃูˆ ุฃุฌุฑูˆู‡ุง.
  9. ูŠุฌุจ ุฃู† ุชูƒูˆู† ู‡ุฐู‡ ุงู„ุชู‚ูŠูŠู…ุงุช ู…ุฌู‡ูˆู„ุฉ ุฅุฐุง ุฑุบุจ ุงู„ุนู…ูŠู„ ููŠ ุฐู„ูƒ (ุฃูŠ ูŠู…ูƒู† ู„ู„ุนู…ู„ุงุก ุชุญุฏูŠุฏ ู…ุง ุฅุฐุง ูƒุงู†ูˆุง ูŠุฑูŠุฏูˆู† ุงู„ุฅูุตุงุญ ุนู† ุฃุณู…ุงุฆู‡ู… ุนู†ุฏ ุชุตูุญ ุงู„ุนู…ู„ุงุก ุงู„ุขุฎุฑูŠู† ู„ู„ุชู‚ูŠูŠู…ุงุช).
  10. ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุช ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุฅุฏุฎุงู„ ูˆุชุญุฏูŠุซ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชุงู„ูŠุฉ ุญูˆู„ ุฌู…ูŠุน ุงู„ุนู…ู„ุงุก (ุฃุนุถุงุก ุฃูˆ ุบูŠุฑ ุฃุนุถุงุก): ุงู„ุงุณู…ุŒ ุงู„ุนู†ูˆุงู†ุŒ ุฑู‚ู… ุงู„ู‡ุงุชูุŒ ุงู„ุนู…ุฑุŒ ุงู„ุฌู†ุณุŒ ูˆุนู†ูˆุงู† ุงู„ุจุฑูŠุฏ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠ.
  11. ูŠุชู… ุชุนูŠูŠู† ุฑู‚ู… ุนุถูˆูŠุฉ ู„ู„ุฃุนุถุงุก ู…ู† ู‚ุจู„ ุงู„ู…ุญู„ ุนู†ุฏู…ุง ูŠุตุจุญูˆู† ุฃุนุถุงุก ูˆูƒู„ู…ุฉ ู…ุฑูˆุฑุŒ ู…ู…ุง ูŠุณู…ุญ ู„ู‡ู… ุจุชุบูŠูŠุฑ ู…ุนู„ูˆู…ุงุชู‡ู… ุงู„ุดุฎุตูŠุฉ ูˆุดุฑุงุก ูˆุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ุฑู‚ู…ูŠุฉ ุนุจุฑ ุงู„ูˆูŠุจ.
  12. ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู…ุฏูŠุฑ ุงู„ู…ุญู„ ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุฅู†ุดุงุก ุชู‚ุงุฑูŠุฑ ู…ุชู†ูˆุนุฉ ุญูˆู„ ุจูŠุน ูˆุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู….
  13. ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุช ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุจูŠุน ูˆุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ ูˆู…ุนุงู„ุฌุฉ ุฅุฑุฌุงุน ุงู„ุฃูู„ุงู… ุงู„ู…ุคุฌุฑุฉ ุงู„ู…ุงุฏูŠุฉ.
  14. ุนู†ุฏ ุจูŠุน ุฃูˆ ุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉุŒ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุช ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุงู„ุจุญุซ ุนู† ู…ุนู„ูˆู…ุงุช ุงู„ุนู…ูŠู„ ูˆุชุญุฏูŠุฏ ู…ุง ุฅุฐุง ูƒุงู† ุงู„ุนู…ูŠู„ ุนุถูˆู‹ุง.
  15. ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุช ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุฅุฏุฎุงู„ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุฃุณุงุณูŠุฉ ุนู† ุงู„ููŠู„ู… (ุฃูŠ ู…ุนุฑู ุงู„ููŠู„ู…ุŒ ุงู„ุนู†ูˆุงู†ุŒ ุงู„ู…ู…ุซู„ ุงู„ุฑุฆูŠุณูŠ (ุงู„ู…ู…ุซู„ูˆู†)ุŒ ุงู„ู…ุฎุฑุฌุŒ ุงู„ู…ู†ุชุฌุŒ ุงู„ู†ูˆุนุŒ ุงู„ู…ู„ุฎุตุŒ ุณู†ุฉ ุงู„ุฅุตุฏุงุฑุŒ ู…ุฏุฉ ุงู„ุนุฑุถุŒ ุณุนุฑ ุงู„ุจูŠุนุŒ ูˆุณุนุฑ ุงู„ุชุฃุฌูŠุฑ).

ุชุญู„ูŠู„ ู…ุชุทู„ุจุงุช ู…ูุตู„

๐Ÿ” ุนู…ู„ูŠุฉ ุงู„ุชุญู„ูŠู„ ุฎุทูˆุฉ ุจุฎุทูˆุฉ

ู†ุญู„ู„ ูƒู„ ู…ุชุทู„ุจ ู„ุงุณุชุฎุฑุงุฌ ุงู„ูุฆุงุชุŒ ุงู„ุณู…ุงุชุŒ ุงู„ุงุฑุชุจุงุทุงุชุŒ ูˆุงู„ู‚ูŠูˆุฏ:

ุงู„ู…ุชุทู„ุจ 1: ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ ูˆุงู„ุฑู‚ู…ูŠุฉ

"ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุงู„ู†ุธุงู… ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ ูˆุงู„ุฑู‚ู…ูŠุฉ."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ูุฆุงุช: ุงู„ููŠู„ู…
  • ุงู„ุณู…ุงุช:
    • ุงู„ููŠู„ู…: ู…ุงุฏูŠ (ู…ู†ุทู‚ูŠ)
    • ุงู„ููŠู„ู…: ุฑู‚ู…ูŠ (ู…ู†ุทู‚ูŠ)

ุงู„ู…ู†ุทู‚: ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุงู„ููŠู„ู… ู…ุงุฏูŠู‹ุง ูˆุฑู‚ู…ูŠู‹ุงุŒ ู„ุฐู„ูƒ ู†ุณุชุฎุฏู… ุนู„ุงู…ุงุช ู…ู†ุทู‚ูŠุฉ ุจุฏู„ุงู‹ ู…ู† ุฅู†ุดุงุก ูุฆุงุช ูุฑุนูŠุฉ ู…ู†ูุตู„ุฉ.

ุงู„ู…ุชุทู„ุจ 2: ุชุณุฌูŠู„ ุงู„ู…ุจูŠุนุงุช ูˆุงู„ุชุฃุฌูŠุฑุงุช

"ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุชุณุฌูŠู„ ุฃูŠ ุฃูู„ุงู… ุชูุจุงุน ูˆุชูุคุฌุฑ ูˆู…ู† ู‚ุจู„ ู…ู†."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ูุฆุงุช ูˆุงู„ุงุฑุชุจุงุทุงุช:
    • ุงู„ุนู…ูŠู„ ูŠุดุชุฑูŠ ุงู„ููŠู„ู…
    • ุงู„ุนู…ูŠู„ ูŠุคุฌุฑ ุงู„ููŠู„ู…

ุงู„ู…ู†ุทู‚: "ู…ู† ู‚ุจู„ ู…ู†" ุชุดูŠุฑ ุฅู„ู‰ ูุฆุฉ ุงู„ุนู…ูŠู„ุŒ ูˆุงู„ุฃูุนุงู„ "ุชุจุงุน" ูˆ"ุชุคุฌุฑ" ุชู†ุดุฆ ุงุฑุชุจุงุทุงุช.

ุงู„ู…ุชุทู„ุจ 3: ุงู„ูƒู…ูŠุฉ ูˆุชูุงุตูŠู„ ุงู„ู†ุณุฎุฉ

"ุจุงู„ู†ุณุจุฉ ู„ู„ุฃูู„ุงู… ุงู„ู…ุจุงุนุฉุŒ ูŠุฌุจ ุชุณุฌูŠู„ ุงู„ูƒู…ูŠุฉ ุงู„ู…ุจุงุนุฉุ› ุจุงู„ู†ุณุจุฉ ู„ุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉุŒ ูŠุฌุจ ุชุณุฌูŠู„ ุฃูŠ ู†ุณุฎุฉ ุชู… ุชุฃุฌูŠุฑู‡ุง ูˆู…ุชู‰ ูŠุฌุจ ุฅุฑุฌุงุนู‡ุง."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ูุฆุงุช: ู†ุณุฎุฉ ุชุฃุฌูŠุฑ
  • ุงู„ุงุฑุชุจุงุทุงุช:
    • ุงู„ููŠู„ู… ู„ู‡ ู…ุงุฏูŠ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ
    • ุงู„ุนู…ูŠู„ ูŠุคุฌุฑ ู…ุงุฏูŠ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ
  • ุงู„ุณู…ุงุช:
    • ุงู„ู…ุดุชุฑูŠุงุช: ุงู„ูƒู…ูŠุฉ (ุนุฏุฏ ุตุญูŠุญ) - ุณู…ุฉ ูุฆุฉ ุงู„ุงุฑุชุจุงุท
    • ู†ุณุฎุฉ ุชุฃุฌูŠุฑ: ุฑู‚ู… ุงู„ู†ุณุฎุฉ (ุณู„ุณู„ุฉ)
    • ู†ุณุฎุฉ ุชุฃุฌูŠุฑ: ุชุงุฑูŠุฎ ุงู„ุฅุฑุฌุงุน (ุชุงุฑูŠุฎ)

ุงู„ู…ู†ุทู‚: ู†ุญุชุงุฌ ุฅู„ู‰ ูุฆุฉ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ ู„ุชุชุจุน ุงู„ู†ุณุฎ ุงู„ู…ุงุฏูŠุฉ ุงู„ูุฑุฏูŠุฉ. ุงู„ูƒู…ูŠุฉ ุชู†ุชู…ูŠ ุฅู„ู‰ ุงุฑุชุจุงุท ุงู„ุดุฑุงุก.

ุงู„ู…ุชุทู„ุจ 4: ุชุชุจุน ุงู„ุชุฃุฎูŠุฑ

"ูŠุฌุจ ุฃู† ูŠุชุชุจุน ุงู„ู†ุธุงู… ุงู„ุชุฃุฌูŠุฑุงุช ุงู„ู…ุชุฃุฎุฑุฉ ู„ู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ ูˆุฅุฑุณุงู„ ุฅุดุนุงุฑุงุช ุจุงู„ุจุฑูŠุฏ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠ ู„ู„ุนู…ู„ุงุก ุงู„ุฐูŠู† ู„ุฏูŠู‡ู… ุฃูู„ุงู… ู…ุชุฃุฎุฑุฉ."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ุณู…ุงุช: ุงู„ุนู…ูŠู„: ุงู„ุจุฑูŠุฏ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠ (ุณู„ุณู„ุฉ)

ุงู„ู…ู†ุทู‚: ุงู„ุจุฑูŠุฏ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠ ู…ุทู„ูˆุจ ู„ู„ุฅุดุนุงุฑ. ูŠู…ูƒู† ุงุดุชู‚ุงู‚ ุญุงู„ุฉ ุงู„ุชุฃุฎูŠุฑ ู…ู† ุชุงุฑูŠุฎ ุงู„ุฅุฑุฌุงุน.

ุงู„ู…ุชุทู„ุจ 5: ุงู„ุนุถูˆูŠุฉ ูˆุงู„ุฎุตูˆู…ุงุช

"ุณูŠูƒูˆู† ู‡ู†ุงูƒ ุฎูŠุงุฑ ุนุถูˆูŠุฉ ุงู„ุนู…ูŠู„ ู…ู‚ุงุจู„ ุฑุณูˆู… ุณู†ูˆูŠุฉุŒ ู…ู…ุง ูŠุคู‡ู„ ุงู„ุนุถูˆ ู„ู„ุญุตูˆู„ ุนู„ู‰ ุฎุตูˆู…ุงุช (10ูช) ุนู„ู‰ ุจูŠุน ูˆุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู…."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ุชุนู…ูŠู…: ุงู„ุนุถูˆ ู‡ูˆ ู†ูˆุน ู…ู† ุงู„ุนู…ูŠู„
    • ุงู„ุนู…ูŠู„ ูŠุนู…ู… ุงู„ุนุถูˆ

ุงู„ู…ู†ุทู‚: ุงู„ุนุถูˆ ู‡ูˆ ู†ูˆุน ู…ุชุฎุตุต ู…ู† ุงู„ุนู…ูŠู„ ุจุณู…ุงุช ูˆุงู…ุชูŠุงุฒุงุช ุฅุถุงููŠุฉ.

ุงู„ู…ุชุทู„ุจ 6: ุงู„ุญุฌูˆุฒุงุช

"ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุงู„ุฃุนุถุงุก ู‚ุงุฏุฑูŠู† ุนู„ู‰ ุฅุฌุฑุงุก ุญุฌูˆุฒุงุช ู„ุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ ุฅู…ุง ุดุฎุตูŠู‹ุง ููŠ ุงู„ู…ุญู„ุŒ ุฃูˆ ุนุจุฑ ุงู„ู‡ุงุชู ุฃูˆ ุนุจุฑ ุงู„ูˆูŠุจ."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ุงุฑุชุจุงุท: ุงู„ุนุถูˆ ูŠุญุฌุฒ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ

ุงู„ู…ู†ุทู‚: ูู‚ุท ุงู„ุฃุนุถุงุก ูŠู…ูƒู†ู‡ู… ุฅุฌุฑุงุก ุงู„ุญุฌูˆุฒุงุช. ุงู„ุทุฑูŠู‚ุฉ (ุดุฎุตูŠู‹ุงุŒ ู‡ุงุชูุŒ ูˆูŠุจ) ู„ูŠุณุช ุฌุฒุกู‹ุง ู…ู† ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚.

ุงู„ู…ุชุทู„ุจ 7: ุญุฏูˆุฏ ุงู„ุญุฌุฒ ูˆุงู„ุชุฃุฌูŠุฑ

"ูŠู…ูƒู† ู„ู„ุนุถูˆ ุญุฌุฒ ุฃูƒุซุฑ ู…ู† ุฎู…ุณุฉ ุฃูู„ุงู… ู…ุงุฏูŠุฉ ููŠ ุฃูŠ ูˆู‚ุช ูˆุงุญุฏุŒ ูˆู„ูƒู† ู„ุง ูŠูˆุฌุฏ ุญุฏ ุนู„ู‰ ุนุฏุฏ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ ุงู„ุชูŠ ูŠู…ูƒู† ู„ู„ุนุถูˆ ุฃูˆ ุบูŠุฑ ุงู„ุนุถูˆ ุชุฃุฌูŠุฑู‡ุง ููŠ ุฃูŠ ูˆู‚ุช."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ู‚ูŠูˆุฏ:
    • ุฃู‚ุตู‰-ูƒุงุฑุฏ(ุงู„ุนุถูˆุŒ ูŠุญุฌุฒ) = 5
    • ุฃู‚ุตู‰-ูƒุงุฑุฏ(ุงู„ุนู…ูŠู„ุŒ ูŠุคุฌุฑ ู…ุงุฏูŠ) = *

ุงู„ู…ู†ุทู‚: ู‚ูŠูˆุฏ ุงู„ุชุนุฏุฏูŠุฉ ุชู„ุชู‚ุท ู‚ูˆุงุนุฏ ุงู„ุฃุนู…ุงู„ ุญูˆู„ ุญุฏูˆุฏ ุงู„ูƒู…ูŠุฉ.

ุงู„ู…ุชุทู„ุจ 8: ุงู„ุชู‚ูŠูŠู…ุงุช ูˆุงู„ุชุตู†ูŠูุงุช

"ูƒุฎุงุตูŠุฉ ู…ุถุงูุฉุŒ ูŠุฑุบุจ ุงู„ู…ุญู„ ููŠ ุงู„ุณู…ุงุญ ู„ู„ุนู…ู„ุงุก (ุณูˆุงุก ุฃุนุถุงุก ุฃูˆ ุบูŠุฑ ุฃุนุถุงุก) ุจุฅุฏุฎุงู„ุŒ ุนุจุฑ ุงู„ูˆูŠุจุŒ ุชู‚ูŠูŠู…ุงุช ู…ุตุบุฑุฉ (ุญุชู‰ 100 ูƒู„ู…ุฉ) ูˆุชู‚ูŠูŠู… (ู…ู† 1ุŒ ุงู„ุฃุฏู†ู‰ุŒ ุฅู„ู‰ 10ุŒ ุงู„ุฃุนู„ู‰) ู„ู„ุฃูู„ุงู… ุงู„ุชูŠ ุงุดุชุฑูˆู‡ุง ุฃูˆ ุฃุฌุฑูˆู‡ุง."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ูุฆุงุช: ุงู„ุชู‚ูŠูŠู…
  • ุงู„ุงุฑุชุจุงุทุงุช:
    • ุงู„ุนู…ูŠู„ ูŠู‚ุฏู… ุงู„ุชู‚ูŠูŠู…
    • ุงู„ุชู‚ูŠูŠู… ุฎุงุต ุจู€ ุงู„ููŠู„ู…
  • ุงู„ุณู…ุงุช:
    • ุงู„ุชู‚ูŠูŠู…: ู†ุต ุงู„ุชู‚ูŠูŠู… (ุณู„ุณู„ุฉ)
    • ุงู„ุชู‚ูŠูŠู…: ุงู„ุชุตู†ูŠู (ุนุฏุฏ ุตุญูŠุญ)

ุงู„ู…ู†ุทู‚: ุงู„ุชู‚ูŠูŠู… ู‡ูˆ ูุฆุฉ ู…ู†ูุตู„ุฉ ู„ุฃู†ู‡ ูŠุญุชูˆูŠ ุนู„ู‰ ุณู…ุงุช ู…ุชุนุฏุฏุฉ ูˆูŠุฑุจุท ูุฆุชูŠู† ุฃุฎุฑูŠูŠู†.

ุงู„ู…ุชุทู„ุจ 9: ุงู„ุชู‚ูŠูŠู…ุงุช ุงู„ู…ุฌู‡ูˆู„ุฉ

"ูŠุฌุจ ุฃู† ุชูƒูˆู† ู‡ุฐู‡ ุงู„ุชู‚ูŠูŠู…ุงุช ู…ุฌู‡ูˆู„ุฉ ุฅุฐุง ุฑุบุจ ุงู„ุนู…ูŠู„ ููŠ ุฐู„ูƒ (ุฃูŠ ูŠู…ูƒู† ู„ู„ุนู…ู„ุงุก ุชุญุฏูŠุฏ ู…ุง ุฅุฐุง ูƒุงู†ูˆุง ูŠุฑูŠุฏูˆู† ุงู„ุฅูุตุงุญ ุนู† ุฃุณู…ุงุฆู‡ู… ุนู†ุฏ ุชุตูุญ ุงู„ุนู…ู„ุงุก ุงู„ุขุฎุฑูŠู† ู„ู„ุชู‚ูŠูŠู…ุงุช)."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ุณู…ุงุช: ุงู„ุชู‚ูŠูŠู…: ู…ุฌู‡ูˆู„ (ู…ู†ุทู‚ูŠ)

ุงู„ู…ู†ุทู‚: ุนู„ุงู…ุฉ ู„ู„ุฅุดุงุฑุฉ ุฅู„ู‰ ู…ุง ุฅุฐุง ูƒุงู† ูŠุฌุจ ุนุฑุถ ุงุณู… ุงู„ุนู…ูŠู„ ููŠ ุงู„ุชู‚ูŠูŠู….

ุงู„ู…ุชุทู„ุจ 10: ู…ุนู„ูˆู…ุงุช ุงู„ุนู…ูŠู„

"ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุช ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุฅุฏุฎุงู„ ูˆุชุญุฏูŠุซ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชุงู„ูŠุฉ ุญูˆู„ ุฌู…ูŠุน ุงู„ุนู…ู„ุงุก (ุฃุนุถุงุก ุฃูˆ ุบูŠุฑ ุฃุนุถุงุก): ุงู„ุงุณู…ุŒ ุงู„ุนู†ูˆุงู†ุŒ ุฑู‚ู… ุงู„ู‡ุงุชูุŒ ุงู„ุนู…ุฑุŒ ุงู„ุฌู†ุณุŒ ูˆุนู†ูˆุงู† ุงู„ุจุฑูŠุฏ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠ."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ุณู…ุงุช:
    • ุงู„ุนู…ูŠู„: ุงู„ุงุณู… (ุณู„ุณู„ุฉ)
    • ุงู„ุนู…ูŠู„: ุงู„ุนู†ูˆุงู† (ุณู„ุณู„ุฉ)
    • ุงู„ุนู…ูŠู„: ุฑู‚ู… ุงู„ู‡ุงุชู (ุณู„ุณู„ุฉ)
    • ุงู„ุนู…ูŠู„: ุงู„ุนู…ุฑ (ุนุฏุฏ ุตุญูŠุญ)
    • ุงู„ุนู…ูŠู„: ุงู„ุฌู†ุณ (ุณู„ุณู„ุฉ)
    • ุงู„ุนู…ูŠู„: ุงู„ุจุฑูŠุฏ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠ (ุณู„ุณู„ุฉ)

ุงู„ู…ู†ุทู‚: ุชุนูŠูŠู† ู…ุจุงุดุฑ ู…ู† ุงู„ู…ุชุทู„ุจุงุช ุฅู„ู‰ ุงู„ุณู…ุงุช.

ุงู„ู…ุชุทู„ุจ 11: ุจูŠุงู†ุงุช ุงุนุชู…ุงุฏ ุงู„ุนุถูˆ

"ูŠุชู… ุชุนูŠูŠู† ุฑู‚ู… ุนุถูˆูŠุฉ ู„ู„ุฃุนุถุงุก ู…ู† ู‚ุจู„ ุงู„ู…ุญู„ ุนู†ุฏู…ุง ูŠุตุจุญูˆู† ุฃุนุถุงุก ูˆูƒู„ู…ุฉ ู…ุฑูˆุฑุŒ ู…ู…ุง ูŠุณู…ุญ ู„ู‡ู… ุจุชุบูŠูŠุฑ ู…ุนู„ูˆู…ุงุชู‡ู… ุงู„ุดุฎุตูŠุฉ ูˆุดุฑุงุก ูˆุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ุฑู‚ู…ูŠุฉ ุนุจุฑ ุงู„ูˆูŠุจ."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ุณู…ุงุช:
    • ุงู„ุนุถูˆ: ุฑู‚ู… ุงู„ุนุถูˆูŠุฉ (ุณู„ุณู„ุฉ)
    • ุงู„ุนุถูˆ: ูƒู„ู…ุฉ ุงู„ู…ุฑูˆุฑ (ุณู„ุณู„ุฉ)

ุงู„ู…ู†ุทู‚: ู‡ุฐู‡ ุงู„ุณู…ุงุช ุฎุงุตุฉ ุจุงู„ุนุถูˆุŒ ูˆู„ูŠุณ ุฌู…ูŠุน ุงู„ุนู…ู„ุงุก.

ุงู„ู…ุชุทู„ุจุงุช 12-14: ุงู„ู…ุชุทู„ุจุงุช ุงู„ูˆุธูŠููŠุฉ

"ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู…ุฏูŠุฑ ุงู„ู…ุญู„ ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุฅู†ุดุงุก ุชู‚ุงุฑูŠุฑ ู…ุชู†ูˆุนุฉ..."

"ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุช ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุจูŠุน ูˆุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉ..."

"ุนู†ุฏ ุจูŠุน ุฃูˆ ุชุฃุฌูŠุฑ ุงู„ุฃูู„ุงู… ุงู„ู…ุงุฏูŠุฉุŒ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุช ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุงู„ุจุญุซ ุนู† ู…ุนู„ูˆู…ุงุช ุงู„ุนู…ูŠู„..."

ุงู„ุชุญู„ูŠู„:

  • ู„ุง ุชูˆุฌุฏ ู…ุชุทู„ุจุงุช ุฌุฏูŠุฏุฉ ู„ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚

ุงู„ู…ู†ุทู‚: ู‡ุฐู‡ ู…ุชุทู„ุจุงุช ูˆุธูŠููŠุฉ ุชุตู ู…ุง ูŠู…ูƒู† ู„ู„ู…ุณุชุฎุฏู…ูŠู† ูุนู„ู‡ุŒ ูˆู„ูŠุณุช ุจูŠุงู†ุงุช ุชุญุชุงุฌ ุฅู„ู‰ ุชุฎุฒูŠู†.

ุงู„ู…ุชุทู„ุจ 15: ู…ุนู„ูˆู…ุงุช ุงู„ููŠู„ู…

"ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุช ู‚ุงุฏุฑู‹ุง ุนู„ู‰ ุฅุฏุฎุงู„ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุฃุณุงุณูŠุฉ ุนู† ุงู„ููŠู„ู… (ุฃูŠ ู…ุนุฑู ุงู„ููŠู„ู…ุŒ ุงู„ุนู†ูˆุงู†ุŒ ุงู„ู…ู…ุซู„ ุงู„ุฑุฆูŠุณูŠ (ุงู„ู…ู…ุซู„ูˆู†)ุŒ ุงู„ู…ุฎุฑุฌุŒ ุงู„ู…ู†ุชุฌุŒ ุงู„ู†ูˆุนุŒ ุงู„ู…ู„ุฎุตุŒ ุณู†ุฉ ุงู„ุฅุตุฏุงุฑุŒ ู…ุฏุฉ ุงู„ุนุฑุถุŒ ุณุนุฑ ุงู„ุจูŠุนุŒ ูˆุณุนุฑ ุงู„ุชุฃุฌูŠุฑ)."

ุงู„ุชุญู„ูŠู„:

  • ุงู„ุณู…ุงุช:
    • ุงู„ููŠู„ู…: ู…ุนุฑู ุงู„ููŠู„ู… (ุณู„ุณู„ุฉ)
    • ุงู„ููŠู„ู…: ุงู„ุนู†ูˆุงู† (ุณู„ุณู„ุฉ)
    • ุงู„ููŠู„ู…: ุงู„ู…ู…ุซู„ ุงู„ุฑุฆูŠุณูŠ[0..*] (ุณู„ุณู„ุฉ) - ุฅู…ูƒุงู†ูŠุฉ ูˆุฌูˆุฏ ู…ู…ุซู„ูŠู† ุฑุฆูŠุณูŠูŠู† ู…ุชุนุฏุฏูŠู†
    • ุงู„ููŠู„ู…: ุงู„ู…ุฎุฑุฌ (ุณู„ุณู„ุฉ)
    • ุงู„ููŠู„ู…: ุงู„ู…ู†ุชุฌ (ุณู„ุณู„ุฉ)
    • ุงู„ููŠู„ู…: ุงู„ู†ูˆุน (ุณู„ุณู„ุฉ)
    • ุงู„ููŠู„ู…: ุงู„ู…ู„ุฎุต (ุณู„ุณู„ุฉ)
    • ุงู„ููŠู„ู…: ุณู†ุฉ ุงู„ุฅุตุฏุงุฑ (ุนุฏุฏ ุตุญูŠุญ)
    • ุงู„ููŠู„ู…: ู…ุฏุฉ ุงู„ุนุฑุถ (ุนุฏุฏ ุตุญูŠุญ)
    • ุงู„ููŠู„ู…: ุณุนุฑ ุงู„ุจูŠุน (ุญู‚ูŠู‚ูŠ)
    • ุงู„ููŠู„ู…: ุณุนุฑ ุงู„ุชุฃุฌูŠุฑ (ุญู‚ูŠู‚ูŠ)

ุงู„ู…ู†ุทู‚: ู„ุงุญุธ ุฃู† ุงู„ู…ู…ุซู„ ุงู„ุฑุฆูŠุณูŠ ู„ู‡ ุชุนุฏุฏูŠุฉ [0..*] ู„ุฃู†ู‡ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ู„ู„ููŠู„ู… ู…ู…ุซู„ูˆู† ุฑุฆูŠุณูŠูˆู† ู…ุชุนุฏุฏูˆู†.

ู…ู„ุฎุต ุนู†ุงุตุฑ ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚

๐Ÿ“Š ุนู†ุงุตุฑ ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ ุงู„ูƒุงู…ู„

ุงู„ูุฆุฉ ุงู„ุนู†ุงุตุฑ
ุงู„ูุฆุงุช ุงู„ุนู…ูŠู„ุŒ ุงู„ุนุถูˆุŒ ุงู„ููŠู„ู…ุŒ ู†ุณุฎุฉ ุชุฃุฌูŠุฑุŒ ุงู„ุชู‚ูŠูŠู…
ุงู„ุงุฑุชุจุงุทุงุช โ€ข ุงู„ุนู…ูŠู„ ูŠุดุชุฑูŠ ุงู„ููŠู„ู…
โ€ข ุงู„ุนู…ูŠู„ ูŠุคุฌุฑ ุงู„ููŠู„ู…
โ€ข ุงู„ููŠู„ู… ู„ู‡ ู…ุงุฏูŠ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ
โ€ข ุงู„ุนู…ูŠู„ ูŠุคุฌุฑ ู…ุงุฏูŠ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ
โ€ข ุงู„ุนู…ูŠู„ ูŠู‚ุฏู… ุงู„ุชู‚ูŠูŠู…
โ€ข ุงู„ุชู‚ูŠูŠู… ุฎุงุต ุจุงู„ููŠู„ู…
โ€ข ุงู„ุนุถูˆ ูŠุญุฌุฒ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ
ูุฆุงุช ุงู„ุงุฑุชุจุงุท ุงู„ู…ุดุชุฑูŠุงุช (ุจุณู…ุฉ: ุงู„ูƒู…ูŠุฉ)
ุงู„ุชุนู…ูŠู…ุงุช ุงู„ุนู…ูŠู„ ูŠุนู…ู… ุงู„ุนุถูˆ
ุงู„ู‚ูŠูˆุฏ โ€ข ุฃู‚ุตู‰-ูƒุงุฑุฏ(ุงู„ุนุถูˆุŒ ูŠุญุฌุฒ) = 5
โ€ข ุฃู‚ุตู‰-ูƒุงุฑุฏ(ุงู„ุนู…ูŠู„ุŒ ูŠุคุฌุฑ ู…ุงุฏูŠ) = *

ุญู„ูˆู„ ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ ุงู„ุจุฏูŠู„ุฉ

๐Ÿ’ก ู…ู‡ู…: ุญู„ูˆู„ ู…ุชุนุฏุฏุฉ ุตุงู„ุญุฉ

ู‡ู†ุงูƒ ุนุฏุฉ ุทุฑู‚ ุตุงู„ุญุฉ ู„ู†ู…ุฐุฌุฉ ุงู„ู…ุดุชุฑูŠุงุช ูˆุงู„ุชุฃุฌูŠุฑุงุช. ููŠู…ุง ูŠู„ูŠ ุซู„ุงุซ ุทุฑู‚ ุดุงุฆุนุฉ:

ุงู„ุญู„ 1: ุงุฑุชุจุงุทุงุช ู…ุจุงุดุฑุฉ

ุงู„ุนู…ูŠู„ โ”€โ”€โ”€โ”€โ”€ูŠุดุชุฑูŠโ”€โ”€โ”€โ”€โ†’ ุงู„ููŠู„ู…
         (ุงู„ูƒู…ูŠุฉ)
         
ุงู„ุนู…ูŠู„ โ”€โ”€โ”€โ”€โ”€ูŠุคุฌุฑโ”€โ”€โ”€โ”€โ†’ ุงู„ููŠู„ู…

ุงู„ู‚ูŠูˆุฏ: ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุดุชุฑูŠุงุช ูุฆุฉ ุงุฑุชุจุงุทุŒ 
ููŠู…ูƒู† ู„ู„ุนู…ูŠู„ ุดุฑุงุก ููŠู„ู… ู…ุนูŠู† ู…ุฑุฉ ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ุฃูƒุซุฑ.
                

ุงู„ุฅูŠุฌุงุจูŠุงุช: ุจุณูŠุทุŒ ู…ุจุงุดุฑ

ุงู„ุณู„ุจูŠุงุช: ู„ุง ูŠู…ูƒู† ุชุชุจุน ู…ุดุชุฑูŠุงุช ู…ุชุนุฏุฏุฉ ู„ู†ูุณ ุงู„ููŠู„ู…ุŒ ู„ุง ูŠู…ูƒู† ุชุชุจุน ุณุฌู„ ุงู„ุชุฃุฌูŠุฑ

ุงู„ุญู„ 2: ูุฆุงุช ุงู„ู…ุนุงู…ู„ุงุช (ู…ูุถู„)

ุงู„ุนู…ูŠู„ โ”€โ”€โ”€โ”€โ”€ู„ุฏูŠู‡โ”€โ”€โ”€โ”€โ†’ ุดุฑุงุก โ”€โ”€โ”€โ”€โ”€ู„ู‡ ุดุฑุงุกโ”€โ”€โ”€โ”€โ†’ ุงู„ููŠู„ู…
                       (ุงู„ูƒู…ูŠุฉ)

ุงู„ุนู…ูŠู„ โ”€โ”€โ”€โ”€โ”€ู„ุฏูŠู‡โ”€โ”€โ”€โ”€โ†’ ุชุฃุฌูŠุฑ โ”€โ”€โ”€โ”€โ”€ู„ู‡ ุชุฃุฌูŠุฑโ”€โ”€โ”€โ”€โ†’ ุงู„ููŠู„ู…

ุงู„ู…ูŠุฒุฉ: ูŠู…ูƒู† ุชุชุจุน ู…ุนุงู…ู„ุงุช ู…ุชุนุฏุฏุฉ ู…ุน ู…ุฑูˆุฑ ุงู„ูˆู‚ุช
ูŠู…ูƒู† ุชุฎุฒูŠู† ุชูˆุงุฑูŠุฎ ุงู„ู…ุนุงู…ู„ุงุชุŒ ุงู„ู…ุจุงู„ุบุŒ ุฅู„ุฎ.
                

ุงู„ุฅูŠุฌุงุจูŠุงุช: ุฃูƒุซุฑ ู…ุฑูˆู†ุฉุŒ ูŠุชุชุจุน ุงู„ุชุงุฑูŠุฎุŒ ูŠุณู…ุญ ุจู…ุดุชุฑูŠุงุช ู…ุชุนุฏุฏุฉ

ุงู„ุณู„ุจูŠุงุช: ุฃูƒุซุฑ ุชุนู‚ูŠุฏู‹ุง

ุงู„ุญู„ 3: ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนู…ู…ุฉ

ุงู„ุนู…ูŠู„ โ”€โ”€โ”€โ”€โ”€ู„ู‡ ู…ุนุงู…ู„ุฉโ”€โ”€โ”€โ”€โ†’ ู…ุนุงู…ู„ุฉ โ”€โ”€โ”€โ”€โ”€ู„ุฏูŠู‡โ”€โ”€โ”€โ”€โ†’ ุงู„ููŠู„ู…
                                       โ–ฒ
                                       โ”‚
                          โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
                          โ”‚                         โ”‚
                      ุดุฑุงุก                     ุชุฃุฌูŠุฑ

ุงู„ู…ูŠุฒุฉ: ุงู„ุฃูƒุซุฑ ุนู…ูˆู…ูŠุฉุŒ ูŠุณู…ุญ ุจุฅุถุงูุฉ ุฃู†ูˆุงุน ู…ุนุงู…ู„ุงุช ุฌุฏูŠุฏุฉ ุจุณู‡ูˆู„ุฉ
                

ุงู„ุฅูŠุฌุงุจูŠุงุช: ู‚ุงุจู„ ู„ู„ุชูˆุณุนุŒ ู…ุนุงู„ุฌุฉ ู…ูˆุญุฏุฉ ู„ู„ู…ุนุงู…ู„ุงุช

ุงู„ุณู„ุจูŠุงุช: ุงู„ุฃูƒุซุฑ ุชุนู‚ูŠุฏู‹ุงุŒ ู‚ุฏ ูŠูƒูˆู† ู…ุจุงู„ุบู‹ุง ููŠู‡

ู‚ูŠูˆุฏ ุงู„ุชุนุฏุฏูŠุฉ ุงู„ุชูุตูŠู„ูŠุฉ

๐Ÿ”ข ุชุญุฏูŠุฏ ุงู„ุชุนุฏุฏูŠุงุช

ูŠุชู… ุชุญุฏูŠุฏ ุงู„ุชุนุฏุฏูŠุงุช ู…ู†:

  • ุงู„ู…ุชุทู„ุจุงุช ุงู„ุตุฑูŠุญุฉ - ุงู„ู…ุฐูƒูˆุฑุฉ ููŠ ุงู„ู…ุชุทู„ุจุงุช
  • ุงู„ู…ุนุฑูุฉ ุจู…ุฌุงู„ ุงู„ุนุงู„ู… ุงู„ุญู‚ูŠู‚ูŠ - ุงู„ู…ู†ุทู‚ ุงู„ุณู„ูŠู… ุญูˆู„ ุงู„ู…ุฌุงู„
  • ุบูŠุฑ ู…ุนุฑูˆู ("ุŸ") - ุนู†ุฏู…ุง ู„ุง ูŠู…ูƒู† ุงู„ุงุณุชุฏู„ุงู„

ู…ู† ุงู„ู…ุนุฑูุฉ ุจุงู„ุนุงู„ู… ุงู„ุญู‚ูŠู‚ูŠ

ุงู„ุงุฑุชุจุงุท ุงู„ุญุฏ ุงู„ุฃุฏู†ู‰ ุงู„ุญุฏ ุงู„ุฃู‚ุตู‰ ุงู„ู…ู†ุทู‚
ุงู„ุนุถูˆ ูŠุญุฌุฒ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ 0 5 ู‚ุฏ ู„ุง ูŠูƒูˆู† ู„ู„ุนุถูˆ ุญุฌูˆุฒุงุชุ› ุงู„ุญุฏ ุงู„ุฃู‚ุตู‰ 5 ู…ู† ุงู„ู…ุชุทู„ุจุงุช
ู†ุณุฎุฉ ุชุฃุฌูŠุฑ ูŠุญุฌุฒู‡ุง ุนุถูˆ 0 1 ู‚ุฏ ู„ุง ุชูƒูˆู† ุงู„ู†ุณุฎุฉ ู…ุญุฌูˆุฒุฉุ› ูŠู…ูƒู† ุญุฌุฒู‡ุง ูู‚ุท ู…ู† ู‚ุจู„ ุนุถูˆ ูˆุงุญุฏ
ุงู„ุนู…ูŠู„ ูŠุคุฌุฑ ู…ุงุฏูŠ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ 0 * ู‚ุฏ ู„ุง ูŠุคุฌุฑ ุงู„ุนู…ูŠู„ ุฃูŠ ุดูŠุกุ› ู„ุง ูŠูˆุฌุฏ ุญุฏ ู…ุฐูƒูˆุฑ
ู†ุณุฎุฉ ุชุฃุฌูŠุฑ ูŠุคุฌุฑู‡ุง ู…ุงุฏูŠ ุนู…ูŠู„ 0 1 ู‚ุฏ ู„ุง ุชูƒูˆู† ุงู„ู†ุณุฎุฉ ู…ุคุฌุฑุฉุ› ูŠู…ูƒู† ุชุฃุฌูŠุฑู‡ุง ูู‚ุท ู…ู† ู‚ุจู„ ุนู…ูŠู„ ูˆุงุญุฏ ููŠ ูƒู„ ู…ุฑุฉ
ุงู„ููŠู„ู… ู„ู‡ ู…ุงุฏูŠ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ 0 * ู‚ุฏ ู„ุง ูŠูƒูˆู† ู„ู„ููŠู„ู… ู†ุณุฎ ู…ุงุฏูŠุฉ (ุฑู‚ู…ูŠุฉ ูู‚ุท)ุ› ุฃูˆ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู†ุณุฎ
ู†ุณุฎุฉ ุชุฃุฌูŠุฑ ู„ู‡ุง ู…ุงุฏูŠ ููŠู„ู… 1 1 ูƒู„ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ ู‡ูŠ ู„ููŠู„ู… ูˆุงุญุฏ ุจุงู„ุถุจุท
ุงู„ููŠู„ู… ูŠู‚ูŠู…ู‡ ุนู…ู„ุงุก 0 * ู‚ุฏ ู„ุง ูŠูƒูˆู† ู„ู„ููŠู„ู… ุชู‚ูŠูŠู…ุงุชุ› ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ู„ู‡ ุงู„ุนุฏูŠุฏ
ุงู„ุนู…ูŠู„ ูŠู‚ูŠู… ุฃูู„ุงู… 0 * ู‚ุฏ ู„ุง ูŠู‚ุฏู… ุงู„ุนู…ูŠู„ ุฃูŠ ุชู‚ูŠูŠู…ุงุชุ› ูŠู…ูƒู†ู‡ ุชู‚ูŠูŠู… ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุฃูู„ุงู…
ุงู„ุนู…ูŠู„ ู„ุฏูŠู‡ ุชุฃุฌูŠุฑ 0 * ู‚ุฏ ู„ุง ูŠูƒูˆู† ู„ู„ุนู…ูŠู„ ุฃูŠ ุชุฃุฌูŠุฑุงุชุ› ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ู„ู‡ ุงู„ุนุฏูŠุฏ
ุงู„ุชุฃุฌูŠุฑ ู„ู‡ ุนู…ูŠู„ 1 1 ูƒู„ ุชุฃุฌูŠุฑ ู‡ูˆ ู„ุนู…ูŠู„ ูˆุงุญุฏ ุจุงู„ุถุจุท
ุงู„ููŠู„ู… ู„ู‡ ุชุฃุฌูŠุฑ ุชุฃุฌูŠุฑ 0 * ู‚ุฏ ู„ุง ูŠุชู… ุชุฃุฌูŠุฑ ุงู„ููŠู„ู… ุฃุจุฏู‹ุงุ› ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ู„ู‡ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุชุฃุฌูŠุฑุงุช
ุงู„ุชุฃุฌูŠุฑ ู„ู‡ ุชุฃุฌูŠุฑ ููŠู„ู… 1 1 ูƒู„ ุชุฃุฌูŠุฑ ู‡ูˆ ู„ููŠู„ู… ูˆุงุญุฏ ุจุงู„ุถุจุท
ุงู„ุนู…ูŠู„ ูŠู‚ูˆู… ุจุดุฑุงุก 0 * ู‚ุฏ ู„ุง ูŠู‚ูˆู… ุงู„ุนู…ูŠู„ ุจุฃูŠ ู…ุดุชุฑูŠุงุชุ› ูŠู…ูƒู†ู‡ ุงู„ู‚ูŠุงู… ุจุงู„ุนุฏูŠุฏ
ุงู„ุดุฑุงุก ูŠู‚ูˆู… ุจู‡ ุนู…ูŠู„ 1 1 ูƒู„ ุดุฑุงุก ูŠุชู… ู…ู† ู‚ุจู„ ุนู…ูŠู„ ูˆุงุญุฏ ุจุงู„ุถุจุท
ุงู„ููŠู„ู… ู„ู‡ ุดุฑุงุก ุดุฑุงุก 0 * ู‚ุฏ ู„ุง ูŠุชู… ุดุฑุงุก ุงู„ููŠู„ู… ุฃุจุฏู‹ุงุ› ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ู„ู‡ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู…ุดุชุฑูŠุงุช
ุงู„ุดุฑุงุก ู„ู‡ ุดุฑุงุก ููŠู„ู… 1 1 ูƒู„ ุดุฑุงุก ู‡ูˆ ู„ููŠู„ู… ูˆุงุญุฏ ุจุงู„ุถุจุท

โš ๏ธ ุชู…ูŠูŠุฒ ู…ู‡ู…

ุงู„ููŠู„ู… ู…ู‚ุงุจู„ ุงู„ู†ุณุฎุฉ ุงู„ู…ุงุฏูŠุฉ

ู…ุซูŠู„ ูุฆุฉ ุงู„ููŠู„ู… ู„ุง ูŠู…ุซู„ ู…ุซูŠู„ ู†ุณุฎุฉ ู…ุงุฏูŠุฉ ู…ู† ุงู„ููŠู„ู…ุŒ ุจู„ ูŠู…ุซู„ ูˆุตู ุงู„ููŠู„ู….

ูˆุจุงู„ุชุงู„ูŠุŒ ูŠู…ูƒู† ุฃู† ูŠุฑุชุจุท ู†ูุณ ู…ุซูŠู„ ุงู„ููŠู„ู… (ุฃูŠ ุงู„ูˆุตู) ุจุงู„ุนุฏูŠุฏ ู…ู† ู†ุณุฎ ุงู„ุชุฃุฌูŠุฑุŒ ูˆุงู„ุชุฃุฌูŠุฑุงุชุŒ ูˆุงู„ู…ุดุชุฑูŠุงุช.

ู…ุฎุทุท ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ ุงู„ูƒุงู…ู„

ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ ุงู„ู†ู‡ุงุฆูŠ ุจุฌู…ูŠุน ุงู„ุชูุงุตูŠู„

                                    โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
                                    โ”‚   ุงู„ุนู…ูŠู„   โ”‚
                                    โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
                                    โ”‚ ุงู„ุงุณู…         โ”‚
                                    โ”‚ ุงู„ุนู†ูˆุงู†      โ”‚
                                    โ”‚ ุฑู‚ู… ุงู„ู‡ุงุชู  โ”‚
                                    โ”‚ ุงู„ุนู…ุฑ          โ”‚
                                    โ”‚ ุงู„ุฌู†ุณ          โ”‚
                                    โ”‚ ุงู„ุจุฑูŠุฏ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠ        โ”‚
                                    โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”ฌโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                                           โ–ณ
                                           โ”‚ (ุชุนู…ูŠู…)
                                           โ”‚
                                    โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
                                    โ”‚    ุงู„ุนุถูˆ    โ”‚
                                    โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
                                    โ”‚ ุฑู‚ู… ุงู„ุนุถูˆูŠุฉ โ”‚
                                    โ”‚ ูƒู„ู…ุฉ ุงู„ู…ุฑูˆุฑ     โ”‚
                                    โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜


โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”         ู„ู‡ ู…ุงุฏูŠ        โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚    ุงู„ููŠู„ู…     โ”‚โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”‚ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ   โ”‚
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค        1         0..*      โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
โ”‚ ู…ุนุฑู ุงู„ููŠู„ู…      โ”‚                             โ”‚ ุฑู‚ู… ุงู„ู†ุณุฎุฉ   โ”‚
โ”‚ ุงู„ุนู†ูˆุงู†        โ”‚                             โ”‚ ุชุงุฑูŠุฎ ุงู„ุฅุฑุฌุงุน   โ”‚
โ”‚ ุงู„ู…ู…ุซู„ ุงู„ุฑุฆูŠุณูŠ โ”‚                             โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
โ”‚ ุงู„ู…ุฎุฑุฌ     โ”‚                                    โ”‚
โ”‚ ุงู„ู…ู†ุชุฌ     โ”‚                                    โ”‚ ูŠุคุฌุฑ ู…ุงุฏูŠ
โ”‚ ุงู„ู†ูˆุน        โ”‚                                    โ”‚ 0..1    0..*
โ”‚ ุงู„ู…ู„ุฎุต     โ”‚                                    โ”‚
โ”‚ ุณู†ุฉ ุงู„ุฅุตุฏุงุฑ  โ”‚                             โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚ ู…ุฏุฉ ุงู„ุนุฑุถ  โ”‚                             โ”‚   ุงู„ุนู…ูŠู„   โ”‚
โ”‚ ุณุนุฑ ุงู„ุจูŠุน โ”‚                             โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
โ”‚ ุณุนุฑ ุงู„ุชุฃุฌูŠุฑ  โ”‚                                    โ”‚
โ”‚ ู…ุงุฏูŠ   โ”‚                                    โ”‚ ูŠุญุฌุฒ
โ”‚ ุฑู‚ู…ูŠ    โ”‚                                    โ”‚ 0..5    0..1
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜                                    โ”‚
       โ”‚                                      โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
       โ”‚ ู„ู‡ ุดุฑุงุก                          โ”‚    ุงู„ุนุถูˆ    โ”‚
       โ”‚ 1      0..*                          โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
       โ”‚
โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”         ูŠู‚ูˆู… ุจู‡
โ”‚   ุดุฑุงุก   โ”‚โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค  0..*             1   โ”‚
โ”‚ ุงู„ูƒู…ูŠุฉ     โ”‚                  โ”Œโ”€โ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜                  โ”‚   ุงู„ุนู…ูŠู„   โ”‚
                                  โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
       โ”‚ ู„ู‡ ุชุฃุฌูŠุฑ                      โ”‚
       โ”‚ 1      0..*                    โ”‚ ู„ุฏูŠู‡
       โ”‚                                โ”‚ 1    0..*
โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”                        โ”‚
โ”‚    ุชุฃุฌูŠุฑ    โ”‚โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜


โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”         ุฎุงุต ุจู€          โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚    ุงู„ุชู‚ูŠูŠู…    โ”‚โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”‚    ุงู„ููŠู„ู…     โ”‚
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค    0..*           1    โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
โ”‚ ู†ุต ุงู„ุชู‚ูŠูŠู…   โ”‚
โ”‚ ุงู„ุชุตู†ูŠู       โ”‚
โ”‚ ู…ุฌู‡ูˆู„    โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”ฌโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
       โ”‚ ูŠู‚ุฏู…
       โ”‚ 0..*    1
       โ”‚
โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚   ุงู„ุนู…ูŠู„   โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

6. ุฃุฎุทุงุก ู†ู…ุฐุฌุฉ ุงู„ู†ุทุงู‚ ุงู„ุดุงุฆุนุฉ

โŒ ุฃุฎุทุงุก ุดุงุฆุนุฉ ูŠุฌุจ ุชุฌู†ุจู‡ุง

1. ุงุณุชุฎุฏุงู… ุงู„ู…ุนุฑูุงุช ู„ุฑุจุท ุงู„ูุฆุงุช

ุฎุทุฃ:

ุงู„ุนู…ูŠู„
- ู…ุนุฑู ุงู„ุนู…ูŠู„
- ู…ุนุฑู ุงู„ููŠู„ู…  โ† ู„ุง ุชุณุชุฎุฏู… ุงู„ู…ุนุฑูุงุช ู„ุฑุจุท ุงู„ูุฆุงุช!
                

ุตุญูŠุญ:

ุงู„ุนู…ูŠู„ โ”€โ”€โ”€โ”€ุงุฑุชุจุงุทโ”€โ”€โ”€โ†’ ุงู„ููŠู„ู…
                

ู„ู…ุงุฐุงุŸ ูŠุฌุจ ุฃู„ุง ุชุชุถู…ู† ู…ุนุฑูุงุช ุงู„ูƒุงุฆู†ุงุช ูƒุณู…ุงุช ููŠ ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚! ุงุณุชุฎุฏู… ุงู„ุงุฑุชุจุงุทุงุช ุจุฏู„ุงู‹ ู…ู† ุฐู„ูƒ.

2. ุชู…ุซูŠู„ ุงู„ุนู…ูŠู„/ุงู„ู…ู†ุธู…ุฉ

ุฎุทุฃ:

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚   ุงู„ู…ุญู„   โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

ู„ู…ุงุฐุงุŸ "ุงู„ู…ุญู„" ู‡ูˆ ุงู„ู…ู†ุธู…ุฉ ุงู„ุชูŠ ุชุฏูŠุฑ ุงู„ู†ุธุงู…ุŒ ูˆู„ูŠุณุช ุจูŠุงู†ุงุช ุชุญุชุงุฌ ุฅู„ู‰ ุชุฎุฒูŠู†. ู„ุง ุชุถุนู‡ ููŠ ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚.

3. ุงุณุชุฎุฏุงู… ุบูŠุฑ ุตุญูŠุญ ู„ู„ุชุนู…ูŠู…

ุฎุทุฃ:

      ุดุฎุต
        โ–ณ
        โ”‚
    โ”Œโ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”
ุนู…ูŠู„  ุบูŠุฑ ุนุถูˆ

ููŠู„ู… ู…ุงุฏูŠ  ููŠู„ู… ุฑู‚ู…ูŠ
        โ–ณ          โ–ณ
        โ””โ”€โ”€โ”€โ”€โ”ฌโ”€โ”€โ”€โ”€โ”€โ”˜
           ููŠู„ู…
                

ู„ู…ุงุฐุงุŸ

  • ุดุฎุต ุนุงู… ุฌุฏู‹ุง - ุบูŠุฑ ู…ุทู„ูˆุจ
  • ุบูŠุฑ ุนุถูˆ ู‡ูˆ ู…ุฌุฑุฏ ุนู…ูŠู„ ุจุฏูˆู† ุนุถูˆูŠุฉ - ู„ุง ุญุงุฌุฉ ู„ูุฆุฉ ู…ู†ูุตู„ุฉ
  • ููŠู„ู… ู…ุงุฏูŠ/ููŠู„ู… ุฑู‚ู…ูŠ - ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุงู„ููŠู„ู… ูƒู„ูŠู‡ู…ุงุŒ ู„ุฐุง ุงุณุชุฎุฏู… ุณู…ุงุช ุจุฏู„ุงู‹ ู…ู† ุฐู„ูƒ

ุตุญูŠุญ:

    ุนู…ูŠู„
        โ–ณ
        โ”‚
      ุนุถูˆ

ููŠู„ู… (ุจุณู…ุงุช ู…ุงุฏูŠุŒ ุฑู‚ู…ูŠ)
                

4. ุงุณุชุฎุฏุงู… ุบูŠุฑ ุตุญูŠุญ ู„ู„ุชุฌู…ูŠุน/ุงู„ุชุฑูƒูŠุจ

ุฎุทุฃ:

ููŠู„ู… โ—‡โ”€โ”€โ”€โ”€โ”€โ”€ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ
ููŠู„ู… โ—‡โ”€โ”€โ”€โ”€โ”€โ”€ ุชู‚ูŠูŠู…
ุนู…ูŠู„ โ—‡โ”€โ”€โ”€โ”€โ”€โ”€ ุนุถูˆ
                

ู„ู…ุงุฐุงุŸ ู‡ุฐู‡ ู„ูŠุณุช ุนู„ุงู‚ุงุช ุฌุฒุก-ูƒู„!

  • ู†ุณุฎุฉ ุชุฃุฌูŠุฑ ู„ูŠุณุช "ุฌุฒุกู‹ุง" ู…ู† ุงู„ููŠู„ู… - ุฅู†ู‡ุง ู…ุซูŠู„ ู…ุงุฏูŠ ู…ู†ูุตู„
  • ุงู„ุชู‚ูŠูŠู… ู„ูŠุณ "ุฌุฒุกู‹ุง" ู…ู† ุงู„ููŠู„ู… - ุฅู†ู‡ุง ูƒูŠุงู† ู…ุณุชู‚ู„
  • ุงู„ุนุถูˆ ู„ูŠุณ "ุฌุฒุกู‹ุง" ู…ู† ุงู„ุนู…ูŠู„ - ุฅู†ู‡ ู†ูˆุน ู…ุชุฎุตุต (ุงุณุชุฎุฏู… ุงู„ุชุนู…ูŠู…)

5. ุงุณุชุฎุฏุงู… ุบูŠุฑ ุตุญูŠุญ ู„ูุฆุฉ ุงู„ุงุฑุชุจุงุท

ุฎุทุฃ:

ุงู„ุนู…ูŠู„ โ”€โ”€โ”€โ”€โ”€ูŠุคุฌุฑโ”€โ”€โ”€โ”€โ†’ ุงู„ููŠู„ู…
           (ุชุงุฑูŠุฎ ุงู„ุฅุฑุฌุงุน)

ุงู„ู…ุดูƒู„ุฉ: ุชุงุฑูŠุฎ ุงู„ุฅุฑุฌุงุน ู„ู†ุณุฎุฉ ู…ุญุฏุฏุฉุŒ ูˆู„ูŠุณ ุงู„ููŠู„ู… ุจุดูƒู„ ุนุงู…!
                

ุตุญูŠุญ:

ุงู„ุนู…ูŠู„ โ”€โ”€โ”€โ”€โ”€ูŠุคุฌุฑ ู…ุงุฏูŠโ”€โ”€โ”€โ”€โ†’ ู†ุณุฎุฉ ุชุฃุฌูŠุฑ
                                 (ุชุงุฑูŠุฎ ุงู„ุฅุฑุฌุงุน ู‡ูˆ ุณู…ุฉ ู„ู†ุณุฎุฉ ุชุฃุฌูŠุฑ)
                

6. ู‚ูŠูˆุฏ ุบูŠุฑ ุตุญูŠุญุฉ

ุฎุทุฃ:

ุงู„ููŠู„ู… ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† {XOR} ู…ุงุฏูŠ ุฃูˆ ุฑู‚ู…ูŠ
                

ู„ู…ุงุฐุงุŸ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุงู„ููŠู„ู… ู…ุงุฏูŠู‹ุง ูˆุฑู‚ู…ูŠู‹ุง!

ุตุญูŠุญ: ุงุณุชุฎุฏู… ุงู„ุณู…ุงุช ุงู„ู…ู†ุทู‚ูŠุฉ ู…ุงุฏูŠ ูˆุฑู‚ู…ูŠ (ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ูƒู„ุงู‡ู…ุง ุตุญูŠุญ)

7. ุชู…ุซูŠู„ ุงู„ุนู…ู„ูŠุงุช

ุฎุทุฃ:

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  ูŠูˆู„ุฏ  โ”‚  โ† ู‡ุฐู‡ ุนู…ู„ูŠุฉุŒ ูˆู„ูŠุณุช ูุฆุฉ!
โ”‚   ูŠุชุตูุญ   โ”‚
โ”‚   ูŠุฏุฎู„    โ”‚
โ”‚  ูŠุจุญุซ    โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

ู„ู…ุงุฐุงุŸ ู‡ุฐู‡ ุฅุฌุฑุงุกุงุช/ูˆุธุงุฆูุŒ ูˆู„ูŠุณุช ุฃุดูŠุงุก ุชุญุชุงุฌ ุฅู„ู‰ ุชุฎุฒูŠู†.

8. ุชุฎุฒูŠู† ุงู„ุชู‚ุงุฑูŠุฑ

ุฎุทุฃ:

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  ุชู‚ุฑูŠุฑ ู…ุจูŠุนุงุช  โ”‚  โ† ู„ุง ุชุฎุฒู† ุงู„ุชู‚ุงุฑูŠุฑ ูƒูุฆุงุช!
โ”‚ ุชู‚ุฑูŠุฑ ุชุฃุฌูŠุฑ โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

ู„ู…ุงุฐุงุŸ ูŠุชู… ุฅู†ุดุงุก ุงู„ุชู‚ุงุฑูŠุฑ ู…ู† ุงู„ุจูŠุงู†ุงุชุŒ ูˆู„ูŠุณุช ุจูŠุงู†ุงุช ุฏุงุฆู…ุฉ ุจุญุฏ ุฐุงุชู‡ุง.

9. ุชู…ุซูŠู„ ุฌูˆุงู†ุจ ุงู„ุชู†ููŠุฐ

ุฎุทุฃ:

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  ู†ุธุงู…  โ”‚  โ† ุจู†ูŠุฉ ุชู†ููŠุฐ
โ”‚   ูˆูŠุจ    โ”‚  โ† ุทุฑูŠู‚ุฉ ูˆุตูˆู„
โ”‚ู‡ุงุชู โ”‚  โ† ุทุฑูŠู‚ุฉ ูˆุตูˆู„
โ”‚ ุชู‚ุงุฑูŠุฑ  โ”‚  โ† ู…ุฎุฑุฌุงุช ู…ูˆู„ุฏุฉ
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

ู„ู…ุงุฐุงุŸ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ ู…ุณุชู‚ู„ู‹ุง ุนู† ุงู„ุชู†ููŠุฐ!

10. ุงู„ู…ุจุงู„ุบุฉ ููŠ ุชุญุฏูŠุฏ ุงู„ู†ู…ูˆุฐุฌ

ุฎุทุฃ:

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚ ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุช   โ”‚  โ† ุฏูˆุฑุŒ ูˆู„ูŠุณ ุจูŠุงู†ุงุช ุฏุงุฆู…ุฉ
โ”‚   ุงู„ู…ุฏูŠุฑ    โ”‚  โ† ุฏูˆุฑุŒ ูˆู„ูŠุณ ุจูŠุงู†ุงุช ุฏุงุฆู…ุฉ
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
                

ู„ู…ุงุฐุงุŸ ู‡ุฐู‡ ุฃุฏูˆุงุฑ ู…ุณุชุฎุฏู… ู„ู„ู…ุชุทู„ุจุงุช ุงู„ูˆุธูŠููŠุฉุŒ ูˆู„ูŠุณุช ุจูŠุงู†ุงุช ู„ุชุฎุฒูŠู†ู‡ุง.

ุณุคุงู„ ุฑุฆูŠุณูŠ: ู…ุง ุงู„ู…ุนู„ูˆู…ุงุช ุญูˆู„ ุงู„ุฃุดูŠุงุก/ุงู„ุฅุฌุฑุงุกุงุช ุงู„ุชูŠ ุชุญุชุงุฌ ุฅู„ู‰ ุฃู† ุชูƒูˆู† ุฏุงุฆู…ุฉ (ุฃูŠ ููŠ ู…ู„ูุงุช ุฃูˆ ู‚ุงุนุฏุฉ ุจูŠุงู†ุงุช)ุŸ

๐Ÿ’ก ุงู„ู‚ุงุนุฏุฉ ุงู„ุฐู‡ุจูŠุฉ ู„ู†ู…ุฐุฌุฉ ุงู„ู†ุทุงู‚

ู‚ู… ุจุชุถู…ูŠู† ุงู„ูุฆุงุช ูˆุงู„ุงุฑุชุจุงุทุงุช ูˆุงู„ุณู…ุงุช ุงู„ุชูŠ ุชู…ุซู„ ุงู„ุจูŠุงู†ุงุช ุงู„ุฏุงุฆู…ุฉ ุงู„ุชูŠ ูŠุญุชุงุฌู‡ุง ุงู„ู†ุธุงู… ูู‚ุท.

ุงุณุฃู„ ู†ูุณูƒ: "ู‡ู„ ุชุญุชุงุฌ ู‡ุฐู‡ ุงู„ู…ุนู„ูˆู…ุงุช ุฅู„ู‰ ุชุฎุฒูŠู†ู‡ุง ููŠ ู‚ุงุนุฏุฉ ุจูŠุงู†ุงุชุŸ" ุฅุฐุง ู„ุงุŒ ูู‡ูŠ ุฑุจู…ุง ู„ุง ูŠุฌุจ ุฃู† ุชูƒูˆู† ููŠ ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚.

7. ู†ุตุงุฆุญ ูˆุงุณุชุฑุงุชูŠุฌูŠุฉ ุงู„ุงู…ุชุญุงู†

๐Ÿ“ ูƒูŠููŠุฉ ุงู„ุชุนุงู…ู„ ู…ุน ุฃุณุฆู„ุฉ ู†ู…ุฐุฌุฉ ุงู„ู†ุทุงู‚

ุนู…ู„ูŠุฉ ุฎุทูˆุฉ ุจุฎุทูˆุฉ

  1. 1ุงู‚ุฑุฃ ุงู„ู…ุชุทู„ุจุงุช ุจุนู†ุงูŠุฉ - ุนุฏุฉ ู…ุฑุงุช ุฅุฐุง ู„ุฒู… ุงู„ุฃู…ุฑ
  2. 2ุญุฏุฏ ุฌู…ูŠุน ุงู„ุฃุณู…ุงุก โ†’ ูุฆุงุช ู…ุญุชู…ู„ุฉ
  3. 3ุญุฏุฏ ุฌู…ูŠุน ุงู„ุฃูุนุงู„ โ†’ ุงุฑุชุจุงุทุงุช ู…ุญุชู…ู„ุฉ
  4. 4ุงุจุญุซ ุนู† ุนุจุงุฑุงุช ุงู„ู…ู„ูƒูŠุฉ โ†’ ุณู…ุงุช ู…ุญุชู…ู„ุฉ
  5. 5ุทุจู‚ ู…ุนุงูŠูŠุฑ ุงู„ุชู‚ูŠูŠู… ู„ุชุตููŠุฉ ุงู„ุนู†ุงุตุฑ ุบูŠุฑ ุงู„ุตุงู„ุญุฉ
  6. 6ุญุฏุฏ ุงู„ุชุนุฏุฏูŠุงุช ู…ู† ุงู„ู…ุชุทู„ุจุงุช ูˆู…ุนุฑูุฉ ุงู„ู…ุฌุงู„
  7. 7ุชุญู‚ู‚ ู…ู† ุงู„ุชุนู…ูŠู…ุงุช (ุนู„ุงู‚ุงุช ู‡ูˆ/ู‡ูŠ)
  8. 8ุญุฏุฏ ูุฆุงุช ุงู„ุงุฑุชุจุงุท (ุงู„ุณู…ุงุช ุงู„ุชูŠ ุชุนุชู…ุฏ ุนู„ู‰ ุงู„ุงุฑุชุจุงุทุงุช)
  9. 9ุงุฑุณู… ุงู„ู…ุฎุทุท ุจูˆุถูˆุญ ูˆู…ู‚ุฑูˆุฆูŠุฉ
  10. 10ุฑุงุฌุน ุจุงุณุชุฎุฏุงู… ู‚ุงุฆู…ุฉ ู…ุฑุงุฌุนุฉ ุงู„ุฃุฎุทุงุก ุงู„ุดุงุฆุนุฉ

ุฅุฏุงุฑุฉ ุงู„ูˆู‚ุช

  • ู…ุฑุญู„ุฉ ุงู„ุชุญู„ูŠู„ (40ูช): ุถุน ู‚ุงุฆู…ุฉ ุจุงู„ูุฆุงุชุŒ ุงู„ุงุฑุชุจุงุทุงุชุŒ ุงู„ุณู…ุงุชุŒ ุงู„ู‚ูŠูˆุฏ
  • ู…ุฑุญู„ุฉ ุงู„ุชู‚ูŠูŠู… (20ูช): ุทุจู‚ ู…ุนุงูŠูŠุฑ ุงู„ุชู‚ูŠูŠู…ุŒ ุฃุฒู„ ุงู„ุนู†ุงุตุฑ ุบูŠุฑ ุงู„ุตุงู„ุญุฉ
  • ู…ุฑุญู„ุฉ ุงู„ุฑุณู… (30ูช): ุงุฑุณู… ู…ุฎุทุท ุงู„ูุฆุงุช
  • ู…ุฑุญู„ุฉ ุงู„ู…ุฑุงุฌุนุฉ (10ูช): ุชุญู‚ู‚ ู…ู† ุงู„ุฃุฎุทุงุกุŒ ุชุญู‚ู‚ ู…ู† ุงู„ุชุนุฏุฏูŠุงุช

ุฃู†ูˆุงุน ุฃุณุฆู„ุฉ ุงู„ุงู…ุชุญุงู† ุงู„ุดุงุฆุนุฉ

ุงู„ู†ูˆุน 1: ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ ุงู„ูƒุงู…ู„

"ู…ู†-ุจูŠุงู†-ุงู„ู…ุชุทู„ุจุงุชุŒ-ุญุฏุฏ-ุฌู…ูŠุน-ุงู„ูุฆุงุชุŒ-ุงู„ุณู…ุงุชุŒ-ุงู„ุงุฑุชุจุงุทุงุชุŒ-ุงู„ุชุฌู…ูŠุนุงุช/ุงู„ุชุฑูƒูŠุจุงุชุŒ-ุงู„ุชุนู…ูŠู…ุงุชุŒ-ูˆู‚ูŠูˆุฏ-ุงู„ุชุนุฏุฏูŠุฉ.-ุฃู†ุดุฆ-ู…ุฎุทุท-ูุฆุงุช-ูƒุงู…ู„."

ู…ุง ูŠุฌุจ ูุนู„ู‡:

  • ุฃู†ุดุฆ ุฌุฏูˆู„ ุชุญู„ูŠู„ ุดุงู…ู„
  • ุถุน ู‚ุงุฆู…ุฉ ุจุฌู…ูŠุน ุงู„ุนู†ุงุตุฑ ุจุดูƒู„ ู…ู†ู‡ุฌูŠ
  • ุงุฑุณู… ู…ุฎุทุทู‹ุง ูƒุงู…ู„ุงู‹ ุจุฌู…ูŠุน ุงู„ุชุนุฏุฏูŠุงุช
  • ุชุถู…ู† ุฌู…ูŠุน ุงู„ุณู…ุงุช ุจุฃู†ูˆุงุนู‡ุง

ุงู„ู†ูˆุน 2: ุชุญุฏูŠุฏ ุนู†ุงุตุฑ ู…ุญุฏุฏุฉ

"ุถุน ู‚ุงุฆู…ุฉ ุจุฌู…ูŠุน ุงู„ูุฆุงุช ุงู„ุชูŠ ูŠุฌุจ ุชุถู…ูŠู†ู‡ุง ููŠ ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚."

ู…ุง ูŠุฌุจ ูุนู„ู‡:

  • ุฑูƒุฒ ูู‚ุท ุนู„ู‰ ู…ุง ูŠูุณุฃู„
  • ุทุจู‚ ู…ุนุงูŠูŠุฑ ุงู„ุชู‚ูŠูŠู… ุจุฏู‚ุฉ
  • ุจุฑุฑ ุณุจุจ ุชุถู…ูŠู† ูƒู„ ุนู†ุตุฑ

ุงู„ู†ูˆุน 3: ุฅูŠุฌุงุฏ ุงู„ุฃุฎุทุงุก

"ุชู… ุฅู†ุดุงุก ู†ู…ูˆุฐุฌ ุงู„ู†ุทุงู‚ ุงู„ุชุงู„ูŠ ู„ู„ู†ุธุงู…. ุญุฏุฏ ุงู„ุฃุฎุทุงุก ูˆุงุดุฑุญู‡ุง."

ู…ุง ูŠุฌุจ ูุนู„ู‡:

  • ุชุญู‚ู‚ ู…ู‚ุงุจู„ ุฌู…ูŠุน ู…ุนุงูŠูŠุฑ ุงู„ุชู‚ูŠูŠู…
  • ุงุจุญุซ ุนู† ุงู„ุฃุฎุทุงุก ุงู„ุดุงุฆุนุฉ (ุงู„ู…ุนุฑูุงุชุŒ ุงู„ุนู…ู„ูŠุงุชุŒ ุชูุงุตูŠู„ ุงู„ุชู†ููŠุฐ)
  • ุชุญู‚ู‚ ู…ู† ุงู„ุชุนุฏุฏูŠุงุช
  • ุชุญู‚ู‚ ู…ู† ุงู„ุนู„ุงู‚ุงุช ุงู„ู…ูู‚ูˆุฏุฉ ุฃูˆ ุบูŠุฑ ุงู„ุตุญูŠุญุฉ

ู…ุฑุฌุน ุณุฑูŠุน: ุฃุณุฆู„ุฉ ุงู„ุชู‚ูŠูŠู…

ู„ู„ูุฆุงุช:
โœ“ ุชู…ุซู„ ุจูŠุงู†ุงุช ุฏุงุฆู…ุฉุŸ
โœ“ ู…ูู‡ูˆู… ู…ุญุฏุฏ ุฌูŠุฏู‹ุงุŸ
โœ— ุนู…ู„ูŠุฉ/ุฅุฌุฑุงุกุŸ
โœ— ุจู†ูŠุฉ ุชู†ููŠุฐุŸ
โœ— ูŠุฌุจ ุฃู† ุชูƒูˆู† ุณู…ุฉุŸ

ู„ู„ุงุฑุชุจุงุทุงุช:
โœ“ ุนู„ุงู‚ุฉ ู‡ูŠูƒู„ูŠุฉุŸ
โœ— ุนู…ู„ูŠุฉ/ุฅุฌุฑุงุกุŸ
โœ— ู…ุดุชู‚ุฉุŸ
โœ— ุจู†ูŠุฉ ุชู†ููŠุฐุŸ

ู„ู„ุณู…ุงุช:
โœ“ ู…ุฑุชุจุทุฉ ุงุฑุชุจุงุทู‹ุง ูˆุซูŠู‚ู‹ุง ุจุงู„ูุฆุฉุŸ
โœ— ูŠุฌุจ ุฃู† ุชูƒูˆู† ูุฆุฉุŸ
โœ— ูŠุฌุจ ุฃู† ุชูƒูˆู† ููŠ ูุฆุฉ ุงุฑุชุจุงุทุŸ
โœ— ู…ุนุฑู ูƒุงุฆู†ุŸ

ู…ุณุงุนุฏุงุช ุงู„ุฐุงูƒุฑุฉ

๐Ÿง  ุฐุงูƒุฑูŠ

ุงู„ูุฆุงุช ู‡ูŠ ุฃุณู…ุงุก:

  • ุฃุณู…ุงุก ููŠ ุงู„ู…ุชุทู„ุจุงุช
  • ูƒุงุฆู†ุงุช ููŠ ุงู„ุนุงู„ู… ุงู„ุญู‚ูŠู‚ูŠ
  • ูุฑูŠุฏุฉ ูˆู…ุญุฏุฏุฉ ุฌูŠุฏู‹ุง
  • ุชุญุชุงุฌ ู„ู„ุชุฎุฒูŠู†
  • ู…ุณุชู‚ุฑุฉ ู…ุน ู…ุฑูˆุฑ ุงู„ูˆู‚ุช

ุงู„ุงุฑุชุจุงุทุงุช ู‡ูŠ ุฃูุนุงู„:

  • ุฃูุนุงู„ ุชุฑุจุท ุงู„ูุฆุงุช
  • ูุนุงู„ูŠุงุช ุฏุงุฆู…ุฉ
  • ุชุฑุจุท ูุฆุชูŠู† ุฃูˆ ุฃูƒุซุฑ
  • ุจู†ุงุฆูŠุฉ ู…ูุถู„ุฉ
  • ู‡ูŠูƒู„ูŠุฉุŒ ูˆู„ูŠุณุช ุชุดุบูŠู„ูŠุฉ

ุชุฌู†ุจ ROID:

  • R ุฃุฏูˆุงุฑ (ูƒุงุชุจ ุงู„ู…ุจูŠุนุงุชุŒ ุงู„ู…ุฏูŠุฑ)
  • O ุนู…ู„ูŠุงุช (ูŠูˆู„ุฏุŒ ูŠุชุตูุญ)
  • I ุชู†ููŠุฐ (ู†ุธุงู…ุŒ ูˆูŠุจ)
  • D ู…ุดุชู‚ุฉ (ูŠู…ูƒู† ุญุณุงุจู‡ุง)

๐ŸŽ“ ุงู„ุฏุฑุงุณุฉ ู…ูƒุชู…ู„ุฉ!

ู„ุฏูŠูƒ ุงู„ุขู† ูู‡ู… ุดุงู…ู„ ู„ุชุญู„ูŠู„ ุงู„ู…ุชุทู„ุจุงุช ูˆู†ู…ุฐุฌุฉ ุงู„ู†ุทุงู‚.

ุชุฐูƒุฑ: ุชุฏุฑุจ ุนู„ู‰ ุฏุฑุงุณุฉ ุญุงู„ุฉ ู…ุญู„ ุงู„ุฃูู„ุงู… ูˆุทุจู‚ ู…ุนุงูŠูŠุฑ ุงู„ุชู‚ูŠูŠู… ุจุฏู‚ุฉ!