Entity–Relationship Modeling
Prerequisite Knowledge
This lecture builds on the following concepts from earlier lectures. If any feel unfamiliar, review the linked notes before proceeding.
Previously Covered in This Subject
- Schema and instances - covered in Lecture 1 (Schema and Instances)
- Data models and data types - covered in Lecture 1 (Data Models and Data Types)
- The three-schema architecture and data independence - covered in Lecture 1 (The Three-Schema Architecture and Data Independence)
This session moves from the file environment and the three-schema architecture into the heart of database design: entities, attributes, keys, relationships, and weak entity sets. The running theme is the full journey from a user's spoken requirement to a diagram anyone can verify, and from that diagram to a schema that can actually store data.
2.1 The Database Design Process
A dean walks into your office and says, "I want a system that stores everything about every person at the university." No tables, no columns, no screens — just a wish in plain words. How does that spoken wish become a working database with tables, columns, and constraints? That single journey is what this whole session is about.
2.1.1 From User Requirements to a Schema
Before this session we were expected to have a basic understanding of the file environment, its advantages and disadvantages, the three-schema architecture, and what queries look like. This session builds the next step: ER models, cardinality, and how design steps turn a requirement into something storable.
The user requirement is where everything starts. The user can be anyone who owns a problem: a dean, a director, a head of department, or a vice chancellor of a university who walks in with requirements. Your job is to understand the requirements, encapsulate them in one form, and then convert them into a schema — a table with columns, where each value goes into a particular attribute. ER modeling is the set of principles, practices, and concepts used to convert a user requirement into diagrammatic form. Those diagrams are then used to build the schema.
An entity-relationship (ER) model is a high-level conceptual data model: it describes what data must be stored and what constraints hold over it, using three building blocks — entities (the things), attributes (their properties), and relationships (their connections) — expressed as a diagram. A schema is the formal description of a database's structure: for a relational database, the set of tables, their columns, and the constraints on those columns. The ER model sits between the spoken requirement and the schema: it is the intermediate picture that both the user and the engineer can check.
The process stays the same whether you end up storing in a relational system or a non-relational one. Focus on the syntax in this course: once you understand the syntax of one modeling language — entity relationship — you can understand any other modeling process and any other schema.
The textbook design process confirms this journey and adds the standard milestones around it:
- Requirements collection and analysis — interview the users, document what data they need and which operations (queries and updates) they will run. The result is a written set of requirements.
- Conceptual design — build a high-level conceptual schema (an ER diagram) from those requirements, without worrying about storage details. This is the step this session teaches.
- Logical design (data model mapping) — convert the conceptual schema into the data model of the chosen DBMS (for this course, the relational model: tables with columns and keys).
- Physical design — choose storage structures, file organizations, and indexes on the logical schema.
- Schema refinement — inspect the resulting relations for problems (redundancy, anomalies) and restructure them.
- Application and security design — decide which user groups can access which parts of the database.
Steps 2 and 3 are the heart of this session and the next: the ER diagram (conceptual) becomes a relational schema (logical), and only then do SQL queries make sense.
2.1.2 The "Jay" Story
The motivating story starts with Jay, a person in Minnesota, USA, born in the 1960s. America had come out of the second world war and was in a capitalistic rush; the great American dream was showing everywhere. Veterans who had come back from the war wanted to enjoy their lives with their families after suffering so much. They were very skillful people who had given a lot.
Jay's requirement, when it finally comes, is small and personal. Jay wants to store everything for a person — male or female — and store the details of that person: name, gender, address, earning profile, and psychological profiling (DISC analysis, ESTJ, or similar).
Worked example — the Jay requirement becomes the start of a diagram.
Jay's spoken requirement: "Store everything about a person — name, gender, address, earning profile, and psychological profiling."
Step 1 — Identify the unit to model: "person" is the noun that names the thing we store, so person becomes an entity in the diagram.
Step 2 — List the properties the user named: name, gender, address, earning profile, and psychological profiling (DISC analysis, ESTJ, or similar). Each property becomes an attribute of the person entity.
Step 3 — Spot the properties that need structure: a person can have more than one address and more than one psychological profile, and the earning profile has several parts. These become multi-valued or composite attributes — the exact types are covered in 2.3.
Step 4 — Check what the user did NOT say: nothing about phone numbers, national ID, or a key. A real designer would go back and ask: "How will you tell two persons apart?" — that question produces the key attribute, covered in 2.4.
Step 5 — Produce the diagram: one rectangle labelled Person, with the attribute ovals attached. That single picture now stands in for Jay's whole requirement.
Sense-check: does the diagram capture every clause Jay spoke? Name — yes. Gender — yes. Address — yes. Earning profile — yes. Psychological profiling — yes. Nothing is lost, and nothing invented.
The requirement can be fashionable, like Jay's, or traditional, like a banking system or a university system. You may be satisfying a supply chain customer, an automobile customer, or somebody in the healthcare sector. Most requirements you will meet in your career will be new to you, so try to understand the process rather than memorizing cases.
2.1.3 Why an Intermediate Diagram?
Instead of handing your team 40 pages of user requirement, the ER diagram puts everything on one page. The user can confirm that all requirements and constraints are satisfied, and your team can build from the same picture. It also works as an audit record: if the user later raises a ticket claiming a requirement was missed, the ER diagram is the agreed statement — "you specified this requirement, we created this ER diagram, and you confirmed it satisfies all the constraints." Anything beyond what was agreed costs more dollars, and you can encapsulate that cost and ask whether to proceed.
Jumping directly from the user requirement to a relational schema is risky. You may miss constraints, miss requirements, and miss scalability aspects; the design comes out flawed, and you cannot justify that you captured everything. The intermediate diagram is what makes the capture verifiable.
Constraints must be captured in the diagram along with the attributes. In America, for instance, a law might allow one person to marry two women, or one woman to marry two men — a constraint on the person entity. A course must have an instructor, and the instructor must exist in the database. A student must have a mentor, and a mentor may mentor six mentees on campus. Every constraint like these has to be represented.
Scope: the one-page ER diagram is the right tool when a requirement must be verified by people who do not read schemas — which is almost every real project. It breaks down when a requirement is genuinely trivial (a single throwaway list) or when the miniworld is so unstable that drawing the picture would cost more than the database is worth. Even then, the discipline of naming the entities, attributes, and constraints first is what saves you from silently missing something.
Pitfalls beginners fall into here:
- Treating the diagram as decoration and jumping to tables immediately — this is exactly the risky shortcut the professor warns against.
- Drawing only the attributes and silently dropping the constraints (the marriage law, the "must exist" rules, the mentor cap of six). A constraint not captured in the diagram is a constraint not captured at all.
- Believing the process changes when the storage engine changes — it does not; only the final conversion step does.
Real-world: in industry the ER diagram is a shared contract between the business user and the engineering team, and it doubles as the audit trail when requirement disputes arise. Banks, hospitals, and supply-chain systems run on this same discipline: the conceptual picture is agreed before a single table is created, because reworking a schema after data has been loaded is far more expensive than fixing a diagram.
2.1.4 Student Questions
Q: What is the difference between a conceptual model and a logical model?
A: This was explained in some depth in the earlier class sessions. Please go through the earlier class materials — the conceptual level and the logical level sit inside the three-schema architecture discussion, and we will keep using both terms in the coming sessions. To anchor it here: the conceptual model describes what the data means in terms the user understands — entities like person, attributes like name, constraints like "every student has an advisor." The logical model describes how that meaning is laid out in a specific DBMS's data model — for the relational model, which tables, which columns, which keys. The ER diagram is a conceptual model; the set of tables with primary and foreign keys is the logical model built from it.
Recap + bridge: every database design begins with a user requirement, passes through a conceptual ER diagram that everyone can verify, and only then becomes a schema. The diagram is the contract, the audit record, and the constraint catalogue all in one. The next sections open the ER vocabulary itself: first the nouns — entities and their attributes.
Exam note: focus on the syntax of ER modeling. Once you understand the syntax of one modeling language, you can understand any other modeling process and any other schema; the process is what carries across companies and projects.
2.2 Entities and Entity Sets
2.2.1 What Is an Entity?
Hook: a university database stores thousands of courses, rooms, and people. What do these have in common that a name or a phone number does not? Think of a sentence: the nouns are the things that exist, and the adjectives describe them. Entities are the nouns of the database world.
An entity is the unit of the world we want to model. Remember the good old days in school when we discussed nouns — proper nouns, common nouns, abstract nouns. Entity relationship works the same way: in a university, an entity can be an instructor, a student, a course, or a section — anything that signifies a particular value as a single entity. We denote the relationships between these entities.
An entity is a thing in the real world with an independent existence, physical or conceptual. A physical entity is something you can touch — a particular instructor, a particular student, a car, a house. A conceptual entity exists as an idea — a company, a job, a university course. A specific entity is a single instance: "the instructor who teaches Database Systems this semester," not "instructors in general." A database stores entities — each one gets a record (or row) of its own.
The ER model is a language. Language does not only mean words: gestures, eye movement, tonality, and pitch all convey information. The diagrammatic format is the language we use to communicate a requirement to the user and to the team. Just as English or Hindi has a grammar for sentence construction, the ER model has its own grammar — entities, attributes, and relationships are its parts of speech.
The noun-to-entity mapping is a practical working rule, not a coincidence: when a designer reads a requirement narrative, the nouns tend to become entity types, the verbs tend to become relationship types, and the describing nouns (adjectives, in spirit) become attributes. "A student takes a course" gives the entities student and course, the relationship takes, and any descriptive phrase such as "and receives a grade" supplies an attribute of that relationship.
2.2.2 Entity Sets
An entity set is a set of entities of the same kind: a set of different instructors, a set of different students. In a mathematics-style diagram with dots, each dot denotes one entity in the entity set. A relationship links one entity from one set to an entity in another set — one student from the student set is related to one instructor from the instructor set through the advisor relationship.
An entity set is the collection of all entities of a particular type present in the database at a given moment. Technically, the entity type is the schema — the name plus the list of attributes, the structure — and the entity set is its current content (the textbooks call this the extension of the type). In practice the same name is used for both: "student" means both the type and the current set of student records. In the diagram, an entity type is drawn as a rectangle holding its name; each individual entity is a dot inside that set.
The entity set is a mathematical set: distinct entities are distinct members. Two entities can carry identical-looking names or values and still be two different members — the same way two students named "Aarav Sharma" are two different people. How the database keeps them apart is the job of keys (2.4) and weak entities (2.6).
Visual intuition: picture the entity sets as two clusters of dots, each cluster labelled with its type — one cluster labelled Student, one labelled Instructor. The relationship advisor draws one line from a dot in the student cluster to a dot in the instructor cluster. Reading the picture is immediate: every line connects exactly one student dot to exactly one instructor dot, and the pattern of lines (many lines leaving one instructor dot, none or one line leaving a student dot) is exactly the constraint information that cardinality notation will encode later.
2.2.3 Deciding Entities and Attributes
The user says, "I want to store everything for a person." It is you who decides that person becomes an entity, and that the person's name, gender, address, earning profile, and psychological profiling are attributes of that entity. You decide what forms an entity and what its attributes are — the requirement gives you the content, but the modeling choices are yours.
Scope: there is no fixed rule that says "this word is an entity, that word is an attribute" — the decision is the designer's judgment. Two practical guidelines from the textbooks:
- An attribute stays an attribute when it has one value (or one set of values) per entity and no independent structure you need to query — a person's name is an attribute.
- A property becomes its own entity when it has structure of its own, can have several values that must each be recorded separately, or is itself referenced by other entities. A person's address can be a composite attribute (street, city, state, zip), but if the university must run queries like "find every student whose city is Hyderabad" or "find all students living in the same hostel block," the address may deserve to be its own entity, Hostel Block or Address, related to the student.
Pitfall: beginners copy the user's nouns mechanically. A user who says "store the department of each student" gives you an attribute; a user who also says "departments have a head and a budget, and a course belongs to a department" is describing a department entity. The test is not the word — it is whether the thing carries structure, relationships, and queries of its own.
Recap + bridge: entities are the nouns of the modeled world, drawn as rectangles; entity sets are the collections of all entities of one type; and choosing what becomes an entity and what becomes an attribute is the designer's call, guided by the requirement. Next, we fill the rectangles: the attributes that describe each entity and their types.
Real-world: the entity-versus-attribute decision is exactly where requirement disputes are born in industry. Healthcare systems argue about whether medication is an attribute of a patient record or an entity with its own structure (dosage, prescriber, interactions); e-commerce systems argue about whether address is an attribute or an entity. The designer who can justify the choice with the structure-and-query test settles these arguments quickly.
2.3 Attributes and Their Types
2.3.1 What Is an Attribute?
Hook: two people have the same name, the same age, and the same address — but the database must still treat them as two different records. Attributes are what a database knows about a person; keys (2.4) are what keeps them apart. Here we study the attributes themselves.
An attribute is something that describes an entity — a property of that particular entity. Take the instructor in this session as an example. The institution stores everything about the instructor: name, email ID, street address, zip code, and phone number. But a single application, such as the eLearn portal or a Teams-style app, might use only the name, an email ID, and one or two other details.
This connects to the three-tier architecture from the earlier session. At the physical level, data is stored in some way. At the logical level, everything that needs storing is stored. At the view level, the user and the application use only a portion of the data. So when a requirement comes to you, plan to store everything with a proper design; later, an application may use a portion, or a derived portion.
An attribute is a named property of an entity, written as an oval attached to its rectangle in the diagram. Each entity carries one value (or a set of values) for each of its attributes. Every simple attribute has a value set — the domain of allowed values: integers between 16 and 70 for an age, strings for a name, dates for a birth date. The domain is what stops an employee's salary from holding the text "high" and an age from holding 200.
Worked example — the instructor's profile in three tiers.
The institution stores for every instructor: name, email ID, street address, zip code, and phone number — five attributes, five values per instructor, for example:
| Attribute | Value (one instructor) |
|---|---|
| Name | Meera Krishnan |
| Email ID | meera.krishnan@university.edu |
| Street address | 42 Lakeview Road |
| Zip code | 55401 |
| Phone number | (612) 555-0142 |
The eLearn portal shows only name and email ID — the view layer exposes a portion of the stored data. The registration office uses street address and zip code. Nobody's application needs all five at once, but the design stores all five because the requirement said "store everything about the instructor." Sense-check: every application in the university can be served from this one storage design — dropping any attribute to save effort would have silently removed a requirement.
Real-world: your college portal shows your name and email but not your street address, because the view layer exposes only part of the stored data — the same pattern as every production system, from banks showing balances but not card numbers to hospitals showing allergies but not full histories.
2.3.2 Simple vs Composite Attributes
A simple attribute cannot be broken down further — ID number is a simple attribute. A composite attribute is made of smaller attributes. Name is composite: it includes first name, middle name, and last name. Address is composite: it includes street, city, state, and zip code. Street itself is composite again, including street number and street name.
A simple (atomic) attribute is one that cannot be divided into smaller parts with independent meaning — an ID number, a zip code. A composite attribute is built from component attributes, each with its own meaning. Components can be composite again, forming a hierarchy. The address of the instructor example can be drawn as a tree:
Address
/ | | \
Street City State Zip
/ \
Number Street_name
A composite attribute is treated as a unit when the user thinks of it as a unit, and as its parts when the user needs the parts — "mail to the whole address" versus "send only the zip code to the courier." If nobody ever needs the parts, the whole thing can be kept as one simple attribute; subdividing is only useful when the parts are used.
The rule of thumb from the textbooks: subdivide an attribute only when someone actually refers to the components. The Name attribute is subdivided because the university sends letters beginning "Dear Ms. Krishnan" (needs the last name) and builds rosters alphabetically (needs the first name). The Vehicle_id of a car, by contrast, is never subdivided — it stays atomic.
2.3.3 Single-Valued vs Multi-Valued Attributes
A single-valued attribute holds exactly one value per entity: a person has one ID number, one name, one address. A multi-valued attribute holds several: a person is allowed more than one phone number. In the diagram, multi-valued attributes are written inside curly braces; everything else is single-valued.
A single-valued attribute has at most one value for each entity. A multi-valued attribute can hold a set of values for the same entity: phone numbers, email IDs, colors of a car, college degrees of a person. In the diagram a multi-valued attribute is written inside curly braces, . Multi-valued attributes may carry a lower and upper bound on how many values an entity may hold — a car's colors, for example, may be restricted to between one and three values.
Every entity in a set has the same set of attributes, but not the same number of values for a multi-valued attribute: one person has zero degrees, another has one, a third has three. That is the whole point of the multi-valued type — the count varies per entity without changing the design.
2.3.4 Stored vs Derived Attributes
A stored attribute is written to the database, like date of birth. A derived attribute is not stored; it is computed at run time from stored data, like age derived from date of birth. Age is used heavily in views and reports, so the design keeps it available — but only date of birth is stored, and age is derived whenever it is needed.
A stored attribute is physically written to the database — its value is inserted, updated, and retrieved. A derived attribute is computed from other data whenever it is needed, and is never written. For a person with birth date 14 August 2005, the stored value is and the derived value is
In the diagram, a derived attribute is drawn in a dotted (dashed) oval. The reason age is not stored: on every birthday it would silently become wrong until someone remembered to update it — a classic source of data errors. Computing it at read time guarantees it is always consistent with the stored birth date.
Scope: derivation only works when the stored source is present and trustworthy. Age can be derived only because date of birth is stored; "Number of employees in a department" can be derived only because the employees are stored and linked to departments. Derived values break down when the source data changes underneath them (the birthday problem) — that is why they are computed, not stored. Do not store a derived value "for convenience" in the same database; that reintroduces the inconsistency the design avoids.
Pitfalls:
- Storing age alongside date of birth — the two drift apart over time.
- Drawing a derived attribute with a solid line — the dotted oval is the notation; the session's "different bracket" is that dotted oval.
- Deriving a value from data that is itself optional or null — the result is then misleading, not merely approximate.
2.3.5 Null Entries and Candidate Keys
While storing records you will meet null entries. A value can be not applicable — a person from an earlier era may have no phone number — or it can be unknown because we do not have it yet. Null is acceptable in ordinary attributes.
But a candidate key, and the primary key once chosen, can never be null: the value cannot be missing, cannot be unknown, and cannot be not applicable. In the diagram, a dash under the attribute marks it as the candidate key.
A null value is a special marker meaning "no value is stored here." Null has (at least) three distinct meanings:
- Not applicable — the value does not exist for this entity: an apartment number for a single-family home, a college degree for a person who has none.
- Known to exist but missing — the value exists but has not been recorded yet: the phone number that has not been given to the office.
- Not known whether it exists — the value may not exist at all: a home phone of a person nobody has reached.
Null is fine in ordinary attributes. It is forbidden for a candidate key — the attribute (or attribute combination) that will identify records — because a record identified by a null value is a record nobody can look up or link to. A candidate key (2.4) is marked in the diagram by underlining (a dash under) the attribute's oval. The textbooks add the same rule for the relational model: primary key columns cannot accept nulls, enforced by the database itself.
2.3.6 Student Questions
Q: If a person has multiple addresses, is all the related data still one entity?
A: Yes — one entity. But the requirement must be captured inside the diagram. Does the person have one phone number or several? One email ID or two? One name or multiple names and aliases? One national ID (an Aadhaar-style number) or more? Each of these answers is stored as an attribute of that entity, with its own single-valued or multi-valued nature. A multi-valued attribute keeps everything in one entity; only when the addresses carry structure of their own (each with occupants, landlords, tenure) should the designer promote them to a separate entity related to the person.
Q: Age was drawn inside a different bracket. What is the purpose of that, and what does the different bracket mean?
A: The different bracket marks age as a derived attribute — a function of stored data. We store date of birth only; age is not written to the database. It is calculated at run time, whenever a view or a report needs it.
Q: In the diagram, the entity shows only three attributes, like name and total credits. But the entity definition listed many more. Why only three?
A: The diagram is meant to fit on one page, so this is a minimized version. In a real requirement there will be 20 attributes that the user specifies; here, three are enough to discuss cardinality and total participation. In real life, all the attributes the user specifies go into the diagram.
Recap + bridge: attributes describe entities and come in four independent pairs of types — simple or composite, single-valued or multi-valued, stored or derived, null-able or key. The next step is the identification problem: which attribute (or combination) tells two records apart — the keys.
Real-world: identity systems live or die by these choices. Aadhaar-style national ID numbers are simple, single-valued, non-null candidate keys; names are composite (first, middle, last), and mobile numbers are multi-valued. Financial regulators require "know your customer" systems to record the same person's multiple addresses and aliases — exactly the multi-valued attributes discussed above.
2.4 Keys: Super Key, Candidate Key, Primary Key, Foreign Key
Hook: every person in a university has a name — but the database cannot hand a record back to the person who asks for "Aarav Sharma," because there may be three of them. The database needs a way to point at exactly one record. That is the job of keys, and this section untangles the four key words that look alike: super key, candidate key, primary key, foreign key.
2.4.1 Key
When records are stored in a table, a key is a set of one or more attributes that uniquely distinguishes different records. Take a student table with the attributes ID number, name, email ID, phone number, and address. If ID number and name together uniquely distinguish every record, they form a key.
A key is a set of one or more attributes whose values are distinct for every record in the table — no two records may carry the same combination of values for the key attributes. If the set distinguishes every student record, it is a key of the student table. Note the phrase "set of one or more": a key can be a single column or a combination of columns. The key property is a constraint on the table, not an accident of the current data — the table is forbidden from ever containing two records with the same key values.
2.4.2 Super Key and Candidate Key
A super key is any set of attributes that uniquely distinguishes two different records. It may carry redundant attributes. A candidate key is a minimal set: remove one attribute and it no longer uniquely distinguishes records. Any table can have more than one candidate key.
In the student table, is a key. A subset of it — just ID number — is also unique, so ID number is a candidate key. If email ID is also unique, as a student in the session pointed out, email ID is a second candidate key. If names happen to be unique too, name is a third candidate key.
A super key is any set of attributes that uniquely identifies every record. It may contain extra, redundant attributes — still identifies records uniquely, but the phone number is not needed for identification.
A candidate key is a minimal super key: a super key from which no attribute can be removed without losing uniqueness. is a candidate key; is not, because dropping Name leaves a set that still identifies every record.
Every table has at least one candidate key, and most have several. "Minimal" counts the attributes in the set — it says nothing about the values: a candidate key of one attribute is minimal, a candidate key of two attributes is minimal only if neither alone is unique.
2.4.3 Primary Key
The database administrator chooses any one of the candidate keys as the primary key of the table. For the student table, that choice is ID number. The distinction between super key, candidate key, and primary key: a super key may be non-minimal; a candidate key is always minimal; the primary key is the candidate key the administrator picks.
The primary key is the single candidate key that the database administrator selects as the official identifier of the table. The choice is a design decision, not a mathematical one — any candidate key could serve. The primary key is the one used for lookup, for linking, and for the foreign-key references of other tables. Everything that was true of a candidate key is true of the primary key: it is minimal, it is unique, and it can never be null.
2.4.4 Foreign Key
Consider two tables: the student table, holding ID number, name, email ID, phone number, and address, and a course table listing the students registered in one particular course, say Database Systems. Every student listed in the course table must exist in the student table. The course table's ID number is a foreign key: it references the student table's ID number.
The rule to remember: an entry can exist in the course table only if the student exists in the student table. If the student drops out of the degree, that entry should not remain. An attribute in one table references the primary key attribute of another table — that is the basic concept of a foreign key.
A foreign key is an attribute (or combination) in one table whose values must match the primary key values of another table. The course table's ID number is a foreign key referencing the student table's primary key ID number. The rule it enforces — every value in the foreign key column must exist as a primary key value in the referenced table — is called referential integrity. Consequences of the rule: a registration row cannot be inserted for a student who does not exist, and a student cannot be deleted while registration rows still point at them. Foreign keys are the mechanism that makes one table "know about" another, and they become the bridge when ER diagrams are converted to schemas — the professor holds that conversion for the next session.
Worked example — the course table and the foreign key.
Student table (excerpt):
| ID number (primary key) | Name | Email ID |
|---|---|---|
| S1001 | Aarav Sharma | aarav.s@university.edu |
| S1002 | Meera Krishnan | meera.k@university.edu |
| S1003 | Jay Patel | jay.p@university.edu |
Course table — "Database Systems" (excerpt):
| ID number (foreign key) | Grade |
|---|---|
| S1001 | A |
| S1003 | B+ |
Step 1 — every row in the course table must point at an existing student: S1001 and S1003 both exist in the student table, so both registrations are legal.
Step 2 — try inserting S1099 into the course table: there is no student S1099, so the insert is rejected. This is referential integrity working.
Step 3 — try deleting S1003 from the student table while the course row still refers to them: the delete is blocked (or cascades, depending on the rule chosen), because a dangling registration would break the constraint.
Sense-check: at every moment, the set of ID numbers in the course table is a subset of the ID numbers in the student table — the foreign key guarantees it.
2.4.5 Worked Example: The Intern Story
A junior designer starts with the student table and says, "name, ID number, and email ID together are unique — that is a key." A senior designer corrects the label: call it a super key, because we do not yet know whether the set is minimal.
A second intern proposes another set: name, ID number, and phone number — also unique. A third intern proposes name, ID number, and address — also unique. The senior designer praises all three sets, then asks: is anything inside them individually unique? The interns realize that ID number is unique by itself, email ID is unique by itself, and in this hypothetical university, even name is unique.
So all three single attributes are minimal unique sets: three separate candidate keys. The team decides to use ID number as the primary key. The lesson: the candidates were super keys (three attributes each); the minimal ones, individually, were candidate keys; and the primary key is the one chosen from among them.
Worked example — the intern story, step by step.
The student table has five attributes: ID number, name, email ID, phone number, address.
Step 1 — Intern 1 proposes : unique, so a super key. Step 2 — Intern 2 proposes : unique, so a super key. Step 3 — Intern 3 proposes : unique, so a super key. Step 4 — the senior designer asks: which attributes are unique by themselves? Checking the table, ID is unique by itself, email ID is unique by itself, and in this university name is unique by itself.
| Set | Minimal? | Verdict |
|---|---|---|
| \{Name, ID, Email\} | No — drop Email and Name and ID still identifies | Super key |
| \{Name, ID, Phone\} | No — phone number is redundant for identification | Super key |
| \{Name, ID, Address\} | No — address is redundant for identification | Super key |
| \{ID\} | Yes | Candidate key |
| \{Email\} | Yes | Candidate key |
| \{Name\} | Yes | Candidate key |
Step 5 — the team picks \{ID\} as the primary key of the student table.
The punchline: all three intern proposals were correct keys — they were just not minimal. The label matters: "super key" says nothing has gone wrong; it says minimality has not been checked yet.
Sense-check: with \{ID\} as primary key, is every record still identifiable? Yes — ID is unique across all students, so any record can be found by one value. The other two candidate keys remain legal alternatives: had the university chosen email as the official identifier instead, nothing in the design would break.
2.4.6 Student Questions
Q: Can you repeat the difference between a candidate key and a super key? Primary key and foreign key were easier to understand.
A: A super key is any set of attributes that uniquely distinguishes records, and it might not be minimal — it can contain redundant attributes. A candidate key is always minimal: remove one attribute and it stops being unique. Minimal refers to the number of attributes. A table can have more than one candidate key; the database administrator chooses one of them as the primary key.
Q: Does a composite key fall under this category?
A: Composite keys come into the picture when we convert these ideas into a relational schema. Hold that question until the conversion session.
The four key terms side by side:
| Term | Unique? | Minimal? | Role |
|---|---|---|---|
| Super key | Yes | No — may contain redundant attributes | Any identifying set, used as a starting point |
| Candidate key | Yes | Yes — removing any attribute destroys uniqueness | The genuine identifiers; a table can have several |
| Primary key | Yes | Yes | The one candidate key the administrator picks; never null |
| Foreign key | Not by itself | Not required | An attribute in one table that references the primary key of another; enforces referential integrity |
When to use which: identify candidate keys first (the minimal unique sets), choose one as the primary key, and treat any other set that merely identifies records as a super key. Foreign keys appear wherever one table must point at another.
Recap + bridge: super keys identify records and may carry redundancy; candidate keys are the minimal versions; the primary key is the chosen one and can never be null; foreign keys point from one table to another table's primary key. Next, we stop looking inside single tables and study how entities connect — relationships, cardinality ratios, and participation.
Real-world: every table in a production database — student records, payroll, bank accounts, airline bookings — is keyed exactly this way. National ID or passport numbers are candidate keys of persons; account numbers are primary keys of accounts; and every transaction table (withdrawals, bookings, orders) carries a foreign key pointing back to its account or customer, which is why a customer cannot simply be deleted while transactions remain.
2.5 Relationships, Cardinality Ratios, and Participation
Hook: the diagram alone can answer "can a student have more than one advisor?" with a single glance. The answer lives in two independent ideas that students forever mix up: how many (cardinality) and must it happen (participation). This section makes both readings second nature.
2.5.1 Relationships Between Entities
A relationship captures how entities from different entity sets connect. The advisor example: there is an entity set of instructors and an entity set of students. A student can have an advisor, and an instructor can be the advisor. We store that relationship because the user said it must exist.
The university sets the rules. One university says a student has at most one advisor. Another allows many advisors: some advise on careers, some on health, some on well-being, some are career coaches, some are sports coaches. The requirements can even contradict one another — a student may have at most one advisor, or a student may have many — and whichever rule the user states must be captured exactly.
A relationship is an association between two or more entities: "student S1001 has advisor I203" is one relationship instance. A relationship set is the collection of all such associations of one kind — every (student, advisor) pair. In the diagram, a relationship is drawn as a rhombus (diamond) connected by lines to the participating entity rectangles, and the relationship set is named in the diamond — here, advisor. A relationship instance is identified by the entities it links, and a relationship can carry attributes of its own (a grade in a takes relationship, a start date in a manages relationship). Relationships are the verbs of the ER grammar: the nouns (entities) are joined by the verbs (relationships), and the adjectives (attributes) describe either.
2.5.2 Cardinality Ratios
The cardinality ratio of a relationship says how many of one side pair with how many of the other. The spoken description in the session: "one is to one, one is to many, many is to many."
In , a student has at most one advisor and an instructor advises at most one student. In , a student has at most one advisor while an instructor can advise many students. In , a student can have many advisors and an instructor can advise many students. Teams may use different words for the same idea, but the ratios themselves are fixed vocabulary.
The cardinality ratio of a binary relationship is the mapping between the two entity sets: it tells, for one entity on each side, how many entities of the other side it can be related to. Read it as a pair of maximums:
- — each entity on either side links to at most one entity of the other side (a student has at most one advisor, an instructor advises at most one student).
- (or , depending on which side you start from) — each entity on the "1" side links to many entities on the "N" side; each entity on the "N" side links to at most one on the "1" side (a student has at most one advisor, an instructor advises many students).
- — each entity on either side may link to many entities of the other side (a student can have many advisors, an instructor can advise many students).
Here and both mean "many" — any number greater than one, with no stated maximum. The cardinality ratio talks only about at most; it says nothing about a minimum.
2.5.3 Arrow Notation and Reading a Diagram
The notation uses arrows on the relationship lines. A pointed arrow means one; a line without a pointed arrow means many.
Reading the diagram: the instructor side carries one, the student side carries many. So an instructor can have multiple students to advise, while a student has at most one instructor as an advisor. The diagram reads as at most one on each side. The diagram reads as at most many on each side.
The arrow notation is the Silberschatz–Korth convention used in this session: on the line connecting an entity rectangle to the relationship diamond, a pointed arrow at the entity means "at most one" (the "1" side), and a plain line without an arrow means "many" (the "N" or "M" side). Reading a diagram is a two-step habit:
- Identify the relationship diamond and the two entity rectangles it connects.
- Look at each line independently: pointed arrow = at most one; plain line = many.
For the advisor relationship drawn : the instructor end carries an arrow (at most one per instructor from the student's perspective is wrong here — re-read carefully: the student side is the "1" side in "a student has at most one advisor") — the convention in this lecture draws the arrow pointing to the entity that is the "one" side. Whatever the exact line drawing, the reading discipline is the same: arrow at the entity = that entity appears at most once per relationship instance; no arrow = it may appear many times.
Visual intuition: picture a table of (student, advisor) pairs from the real world — rows like (S1001, I203), (S1002, I203), (S1003, I107). In the reading, an instructor ID may repeat down many rows (I203 advises S1001 and S1002), but a student ID may appear in only one row. The arrow sits on the side whose ID can never repeat — that is the "at most one" side. One sentence takeaway: the arrow marks the column that cannot contain duplicates.
2.5.4 Total vs Partial Participation
Participation is separate from cardinality. Total participation is drawn with a double line and means that every entity in that entity set must take part in the relationship. Partial participation means at most — some entities may not participate at all.
Take the rule "every student must have an advisor." Every student in the student entity set must participate, so the student side gets a double line — total participation. The instructor side stays partial: some instructors advise many students, and some advise no student.
Combined reading for with total participation on the student side: a student can have at most advisors, but every student must have at least one; an instructor can advise at most many students, with no minimum. Cardinality ratios talk about at most; total participation talks about at least.
Participation states the minimum: must an entity of this set be in the relationship, or may it sit out?
- Total participation (existence dependency): every entity in the set participates in at least one relationship instance — drawn as a double line between the entity and the diamond. "Every student must have an advisor" puts a double line on the student side.
- Partial participation: an entity may participate or not — drawn as a single line. Some instructors advise students; some advise none.
The two ideas never collapse into one:
- Cardinality ratio = at most (maximum number of partners).
- Total participation = at least (minimum number of partners, namely one).
The textbooks state the same pair as minimum and maximum cardinality constraints: participation fixes the minimum (0 for partial, 1 for total), and the cardinality ratio fixes the maximum (1 or many).
Worked example — reading the advisor diagram in all three forms.
Rule A: "a student has at most one advisor; an instructor advises at most one student" — with both sides partial. Real data: students S1, S2, S3; instructors I1, I2, I3. Legal: (S1, I1), (S2, I2), (S3, I3); each student appears in one pair, each instructor in one pair.
Rule B: "a student has at most one advisor; an instructor may advise many" — , student side "1", instructor side "N". Legal: (S1, I1), (S2, I1), (S3, I2). Instructor I1 appears twice — fine; no student appears twice — enforced by the "1" side.
Rule C: "every student must have an advisor; an instructor may advise many" — same ratio, but now total participation on the student side (double line). Legal: (S1, I1), (S2, I1), (S3, I2). Now compare with Rule B: a fourth student S4 cannot be added to the database without also adding an advisor pair for them — the double line forbids "student with no advisor."
Rule D: "a student may have many advisors; an instructor may advise many students" — , both sides "many", both partial. Legal: (S1, I1), (S1, I2), (S2, I2) — S1 has two advisors.
Sense-check for each rule: the "at most" claim comes from the arrows (cardinality), the "must" claim comes from the double line (participation). Change one without touching the other and you change a different fact — which is exactly why they are drawn separately.
Exam note: expect to read cardinality and participation straight off a diagram — "one to one, one to many, or many to many" plus "at least" on the double-line side. Practice the at-most versus at-least reading: it is the most likely question area and the most confusing point in this session.
2.5.5 Student Questions
Q: Can you explain the double arrow once more, in a simpler way?
A: Using the same student and advisor example: it is possible that a student can have multiple advisors, but a student can also have no advisor — that is partial. It is possible that a teacher can advise many students, but a teacher can also advise no student — also partial. Now suppose the rule becomes "every student must have an advisor." Every student in the set must have at least one — that is total participation, and that is what the double arrow denotes on the student side. All the single-arrow sides say at most; the double-arrow side says at least.
Q: Instructor and student are the two sides of the advisor relationship. Where is the entity here? Does advisor play the entity role, or both?
A: Both of them are entities. Whatever is inside a rectangle is an entity — student is an entity, instructor is an entity. The rhombus (diamond) is the relationship between different entities, and this relationship is called advisor.
Q: What does cardinality ratio mean?
A: It is the mapping between the two entity sets. The user may say every student has at most one instructor, or every instructor has at most one student, or a student has many instructors and an instructor advises many students. When a designer asks another designer, "What is the cardinality ratio?" and the answer is "N:M with total participation on the student side," the whole diagram is clear without another word — two entities, the cardinality from student to instructor, and where the participation constraint sits.
Q: Where is the double line — on which side does total participation apply?
A: Total participation is read from the side of the entity set that must participate. If the double line is on the student side, every student participates: every student must have at least one instructor. The instructor side remains at most — an instructor need not have any student, but can have many.
Q: In an N:M model, suppose out of a hundred students only 20 actually need to be mapped to an instructor. Does this fall into an N:M category?
A: Yes — it is still M, because many means anything greater than one. Cardinality can only talk in terms of one or many; it cannot express 20 or five or six. For exact numbers there is a dedicated notation, covered next.
Q: Cardinality and participation seem to overlap and I get confused. Can you separate them?
A: They are separate concepts that combine on the same diagram. The cardinality ratio talks only about at most: one is to N, N is to M. Total participation talks about at least: every entity in that entity set must take part. So a single arrow is partial — at most — and a double arrow is total — at least.
Q: Does 1:1 cardinality imply total participation from both sides?
A: No. 1:1 means at most one on each side — a student can have zero or one advisor, and an instructor can have zero or one student. Total participation means every student must have one. When 1:1 and total participation combine on both sides, then every student has exactly one advisor and every instructor advises exactly one student. The at most reading and the at least reading are independent.
Q: What happens if the arrowhead is placed on the side that also has the double line?
A: Both signs apply on that side. Suppose the double arrow is on the instructor side. Then the instructor side is total: every instructor must have at least one student to advise, and can have many. The student side keeps a single arrow: at most one advisor, and possibly no advisor at all, because there is no double line on that side.
2.5.6 Writing Exact Limits in a Diagram
When the user gives exact numbers, cardinality notation cannot express "20." The bounds notation can. The session described it as follows: if one side writes 20, it means an instructor can advise zero or 20 students; "one dot dot one" means a student has at least one and at most one advisor.
A requirement like "a student can have at most one instructor, but an instructor can advise at most 20 students" is captured through this notation. Anything non-binary — zero, one, many, or a specific count like five or six — can be written this way.
The bounds notation (min..max, read "min dot-dot max") is written on each side of the relationship, next to the participating entity. It packs the minimum and the maximum into one expression:
- — zero to 20: an instructor advises as few as zero and as many as 20 students (partial participation, exact maximum 20).
- — one to one: a student has exactly one advisor (total participation — the minimum 1 — and at most one — the maximum 1).
This one notation replaces both the arrow (the maximum) and the double line (the minimum): a minimum of 0 means partial participation, a minimum of 1 or more means total, and the maximum states the exact upper bound. The same numbers are written in the Elmasri–Navathe convention as (min, max) with parentheses — , — and in the UML convention exactly as above, and ; the professor's spoken "0 dot dot 20" matches the form, and the meaning is identical in all three spellings.
Worked example — exact limits.
Requirement: "A student has exactly one advisor. An instructor advises at most 20 students, but may advise none."
Step 1 — student side: exactly one → minimum 1, maximum 1 → write .
Step 2 — instructor side: at most 20, may be zero → minimum 0, maximum 20 → write .
Step 3 — read the pair back: any student in the database must carry exactly one advisor; an instructor record may show zero to 20 advisees.
Compare with the coarse notation: "1:1 with total participation on the student side" would say the instructor advises at most one student — wrong here. Only the bounds notation can state 20. And "20 of 100 students are mapped" is still — the bounds notation's job begins where the question "exactly how many?" needs an answer.
Sense-check: can an instructor be created with no students? Yes — minimum 0 on that side. Can a student exist with no advisor? No — minimum 1 on that side. Every boundary the requirement stated appears in the two annotations.
Recap + bridge: relationships connect entity sets; cardinality ratios (1:1, 1:N, M:N, arrows) state at most; participation (double line) states at least; and the bounds notation states both exactly. The next sections face the hard case — entities whose own attributes cannot identify them, and what the diagram must do about it.
Real-world: team communication runs on this vocabulary. "The cardinality ratio is N:M with total participation on the student side" is a complete specification — every team member draws the same picture from that one sentence. Production systems use exact bounds constantly: a bank caps daily transfer links at , an airline allows a passenger checked bags, and a university allows a student majors — all drawn with the same notation.
2.6 Weak Entity Sets and Strong Entity Sets
Hook: two children in the same database are both named Dipanshu, born on the same date, both male. Every stored attribute is identical. Are they one record or two? The database must keep them apart — and the answer forces a whole new diagram construct: the weak entity.
2.6.1 Worked Example: Dependents
The organization stores employees and their dependents. A dependent can be a parent residing at home, a spouse, or a child. Dependents are not part of the organization, but the organization needs to store their details: the name of the dependent, the date of birth of the dependent, and the age of the dependent.
Now imagine two dependents both named Dipanshu, born on the same date, both male, because both sets of parents decided to name them Dipanshu. The difference is that their parents are different people — they belong to different employees. Storing name, date of birth, and age for both produces two records that all attributes together cannot tell apart. No subset works either. This signals a weak entity.
Worked example — two identical dependents.
Employee table: E101 (Anita Rao), E102 (Karan Mehra).
Dependent records, attributes Name, Birth_date, Age, Relationship:
| Name | Birth_date | Age | Relationship |
|---|---|---|---|
| Dipanshu | 2016-03-10 | 10 | Son |
| Dipanshu | 2016-03-10 | 10 | Son |
Step 1 — can Name tell them apart? No — both are "Dipanshu." Step 2 — can Name + Birth_date? No — identical. Step 3 — can all three attributes together? No — the rows are identical in every column.
Step 4 — attach each dependent to its own employee:
| Employee ID (the employee) | Name | Birth_date | Age | Relationship |
|---|---|---|---|---|
| E101 | Dipanshu | 2016-03-10 | 10 | Son |
| E102 | Dipanshu | 2016-03-10 | 10 | Son |
Now the pairs (E101, Dipanshu) and (E102, Dipanshu) are different records — the employee's key splits them apart. The professor's example is not contrived: two different families both naming a boy Dipanshu with the same birth date is exactly how a "unique" person identity fails in the real world.
Sense-check: the dependent has no identity of its own; its identity borrows the employee's. Remove the employee column and the two dependents collapse back into one ambiguous record.
2.6.2 Worked Example: Section
The same problem appears for a section. A section has a section ID, a year, and a semester. Everything for a particular semester is noted down in a section. Yet even all three attributes taken together cannot uniquely distinguish every section.
A section cannot stand alone; it needs its course. The section becomes identifiable only through the course's key.
Worked example — section needs its course.
Sections table, attributes Section_ID, Year, Semester:
| Section_ID | Year | Semester |
|---|---|---|
| 1 | 2026 | Fall |
| 1 | 2026 | Fall |
| 1 | 2026 | Fall |
Three identical rows — because Section_ID is only unique within a course: section 1 of Database Systems, section 1 of Operating Systems, and section 1 of Compilers all exist in Fall 2026. No combination of the three attributes distinguishes them.
Attach the course's key (Course_ID):
| Course_ID (owner) | Section_ID | Year | Semester |
|---|---|---|---|
| CS301 | 1 | 2026 | Fall |
| CS401 | 1 | 2026 | Fall |
| CS501 | 1 | 2026 | Fall |
Each row is now unique: (CS301, 1, 2026, Fall) is Database Systems, (CS401, 1, 2026, Fall) is Operating Systems. This is the textbook situation — in the reference materials the same rule appears verbatim: a section is identified by its section number together with the course, semester, and year; the section cannot stand alone.
Sense-check: the same course can be offered twice in the same semester (sections 1 and 2) — both rows share the owner key but differ in Section_ID, which is exactly the partial key at work.
2.6.3 Weak and Strong Entities
A strong entity is an entity whose attributes — or some subset of the attributes — can uniquely distinguish different entities in the entity set, or different records in the table. A weak entity is one where all the attributes in the entity set taken together cannot distinguish two different entities.
The weak entity is drawn as a double rectangle. It needs an owner entity: a strong entity whose key, combined with the weak entity's own attributes, uniquely identifies every record when it is stored in the relation.
A strong entity type is one whose own attributes (or a subset of them) contain a key — every entity in the set can be identified from its own values. Student, instructor, course are strong. A weak entity type is one whose attributes, taken all together, cannot identify any entity: dependent and section are weak. In the diagram the weak entity is drawn as a double rectangle, and it must be attached to an owner (identifying) entity type — a strong entity whose key supplies the missing identification. Weakness is precise, not vague: test it by asking whether all the entity's own attributes together can separate any two records. Yes → strong; no → weak.
2.6.4 The Owner Entity and the Identifying Relationship
The relationship between a weak entity and its owner is called the identifying relationship and is drawn as a double rhombus. The weak entity's own distinguishing attributes form its partial key, drawn with a dashed underline.
The candidate key of the weak entity relation is the owner's key plus the partial key:
where is the candidate key of the weak entity relation, is the owner entity's candidate key, and is the partial key, the dashed-underlined attributes. For the section example, the course's key plus section ID, year, and semester together make the candidate key of the section relation.
The identifying relationship is the (double-rhombus) relationship between a weak entity and its owner. It has two enforced properties: it is one-to-many from owner to weak entity (each weak entity has exactly one owner), and the weak entity's participation in it is total — a dependent cannot exist without its employee, a section cannot exist without its course. That total participation is why the identifying relationship always carries a double line on the weak side.
The partial key (also called the discriminator) is the weak entity's own attribute (or attributes) that separates weak entities sharing the same owner — the dashed-underlined attribute in the diagram. Dependents of the same employee have different first names; sections of the same course have different section IDs.
The key formula is a union of attribute sets:
- — the owner's candidate key: for the section example, for the dependent example.
- — the partial key: or .
- — set union: the weak relation's key contains the owner's key and the partial key.
Check it on the section example: — exactly the four columns that made every row unique above. Check the dependent example: . The books confirm both: the weak entity is identified by the owner's primary key combined with its partial key, and the same combination becomes the primary key when the weak entity is mapped to a relation.
2.6.5 Weak Entities in Other Relationships
Not every relationship of a weak entity is identifying. In the university diagram, Takes is a normal single rhombus: a student takes a section and the student gets a grade. Nothing special about it — it is a normal relationship, exactly like the instructor–student relationship.
Once a section is uniquely identified together with its owner course, the section can play any role in any other relationship as a normal entity. Only the relationship between the weak entity and its owner carries the double rhombus; every other relationship of that entity is drawn normally.
An entity can also have a relationship with itself: a course can be a prerequisite of another course.
A weak entity has exactly one identifying relationship — to its owner — drawn as a double rhombus. Every other relationship it joins is a normal, single-rhombus relationship: the section participates in Takes (a student takes a section and receives a grade) like any strong entity. The identifying status is a property of the owner relationship only, not of the entity in general. Self-relationships (a course being the prerequisite of another course — both roles played by the course entity) are drawn as normal relationships with role labels telling the two participations apart.
2.6.6 Student Questions
Q: Is a weak entity something that is "more meaningful when we have the actual full database interpretation" — like a student belonging to a particular semester?
A: No — strong and weak are precise, not vague. If the attributes, or a subset of the attributes, can uniquely distinguish different entities in the entity set, the entity is strong. If all the attributes together cannot distinguish two different entities, the entity is weak. That is the whole difference.
Q: Is section ID a primary key or a foreign key?
A: In the weak entity, section ID carries a dashed underline — it is a partial key. When we convert this into a relational schema in the next session, the owner's key together with the dashed-underlined attributes forms the candidate key of the section relation.
Q: A foreign key is what makes the relationship between two tables, right? Does that apply here?
A: The concept of foreign key was introduced in this session; the application comes in the next session. A foreign key makes sense only in a relational schema — in the ER diagram itself it does not apply. We have not yet converted diagrams to schemas, so hold the concept until then.
Q: The student–section rhombus was not a double one. Why is it a normal relationship?
A: Correct — it is a normal relationship. Student takes a section, student gets a grade. That is all. Only the relationship between a weak entity and its owner is drawn as a double rhombus; every other relationship of the section is normal.
Q: So the course entity acts as the owner entity for the section, the student entity has the normal relationship, and the section is a weak entity that relies on course to have its keys identified?
A: Exactly — that is a very nice summary.
Pitfalls:
- Calling a weak entity "vague" or "incomplete" — weakness is the technical fact that all its attributes together cannot identify its entities, nothing more.
- Reading the dashed underline as "primary key" or "foreign key" — it is a partial key, and the primary key vocabulary enters only at the schema conversion stage.
- Drawing a double rhombus on every relationship a weak entity joins — only the identifying relationship to the owner is double.
- Forgetting that the weak entity's participation in the identifying relationship is total: an entity without its owner cannot be recorded at all.
Recap + bridge: weak entities cannot identify themselves; the owner's key plus the partial key identifies them; the identifying relationship is the only double rhombus, and everywhere else the weak entity behaves normally. The next section steps back from individual constructs to read and notate whole diagrams.
Real-world: weak entities are everywhere in industry. Order items live only under their parent order; hotel room bookings exist only under their hotel and date; insurance policies list dependents who exist only under the policyholder. In every case the same pattern holds: the child's identity borrows the parent's key, the child is drawn as a double rectangle, and the borrowing relationship is the double rhombus.
2.7 ER Diagram Notation and Reading Conventions
Hook: there is no single standard for drawing ER diagrams — textbooks differ, tools differ, teams differ. What never changes is the meaning underneath. A designer who can read one notation can read them all, which is exactly the skill this section builds.
2.7.1 Textbook Nomenclatures
A question from the session: is drawing the key attribute with an underscore, and enclosing multiple attributes in brackets, a standard way to describe ER diagrams? The answer: it is one of the ways. Textbooks use different nomenclatures. One convention comes from Silberschatz and Korth; the Elmasri Navathe textbook uses a similar one with small differences. Both are fine. It is like writing the capital letter A — somebody writes it one way, somebody writes it another, and both are the letter A. Once you understand the ER diagram, you can make sense of any notation, including the one used in this session.
The core vocabulary is shared by every convention — only the symbols differ:
| Construct | Silberschatz–Korth (this session) | Elmasri–Navathe | UML |
|---|---|---|---|
| Entity | Rectangle | Rectangle | Class box (three compartments: name, attributes, operations) |
| Relationship | Rhombus (diamond) | Diamond | Association line, optional name, multiplicity at each end |
| Attribute | Oval, attached by a line | Oval | Listed in the attribute compartment |
| Key attribute | Underlined | Underlined | Underlined in the attribute list |
| Multi-valued attribute | Curly braces | Double oval | Multiplicity in brackets, e.g. |
| Derived attribute | Dotted oval | Dotted oval | Marked, e.g. /age |
| Weak entity | Double rectangle | Double rectangle | Qualified association with a discriminator box |
| Identifying relationship | Double rhombus | Double diamond | Composition (filled diamond) |
| Partial key | Dashed underline | Dotted underline | Discriminator |
| Cardinality | Arrow on the line (arrow = one, no arrow = many) | , , written on the edges | Multiplicity at each end |
| Total participation | Double line | Double line | Minimum 1 in the multiplicity, e.g. |
Same ideas, different uniforms. The translation skill is mechanical: identify the construct by its meaning, then re-draw it in the target notation.
Real-world: the two conventions named in the session are the two most widely used in industry — Silberschatz and Korth's arrow notation and Elmasri and Navathe's 1/M/N-edge notation — and UML class diagrams (2.7.5) are the everyday notation of Java and .NET design teams. A designer who can move between them communicates with every team on a project.
2.7.2 The Mind Map Tool
The diagrams in this session were organized with a mind map tool — software that arranges ideas properly and systematically so that people remember them. It helped the presenter during doctoral research as well. It is not being sponsored or recommended for everyone; it is simply one way to keep a design organized.
The point of such a tool is not the tool itself: it is that a requirement has many scattered clauses, and a structure — any structure — that keeps them arranged while the diagram grows prevents forgotten constraints. Notebook sketches, whiteboards, and formal design tools all serve the same purpose.
2.7.3 Reading a Complete Diagram
The complete university diagram ties everything together. The entities: instructor, student, course, section. The relationships: teaches (instructor to course), takes (student to section, with a grade), prerequisite (course to course — an entity relating to itself), and the identifying relationship from section to course, drawn as a double rhombus. Some relationships in the diagram are weak; most are not.
Reading an entire diagram — every entity, every cardinality, every participation — is exactly the skill this session builds toward.
Reading a complete diagram is a checklist walk, entity by entity and relationship by relationship:
- List the rectangles — instructor, student, course, section. These are the nouns of the miniworld.
- List the rhombuses — teaches, takes, prerequisite, and the section–course identifying relationship. These are the verbs.
- For each relationship, read the cardinality — which side is at most one (arrow), which is many.
- For each relationship, read the participation — which sides carry the double line (must participate, at least one).
- For each weak entity, confirm the owner — section has owner course; the double rhombus marks the identifying relationship.
- Check the special cases — prerequisite is a recursive relationship (course relates to course); takes carries an attribute (grade) of the relationship itself.
The four entities, the four relationships, and the one attribute-on-a-relationship are the whole university picture. Anyone who can walk this list from a diagram — and can walk it backwards from a requirement to a diagram — has mastered this stage.
Real-world: teams talk in these terms. "The cardinality ratio is N:M with total participation on the student side" — and the diagram is clear without further words, even across teams. This sentence-level shorthand is how design reviews, handovers, and change requests are discussed in industry every day.
2.7.4 Practice Exercises
The homework after this session has two parts. First, take a written requirement and create the ER diagram for it. Second, take a given ER diagram and read it across. If you can do both, you have really mastered this stage — a winning shot that sets you free for a long time. The next session adds the conversion of the ER diagram into a relational schema, and then SQL queries.
Exam note: be able to convert a written requirement into an ER diagram and to read a given diagram across — every entity, relationship, cardinality, and participation. These two directions are the examinable core of this stage, and the conversion-to-schema skill builds directly on them next session.
Practice pattern — the university exercise.
The running exercise: a dean, director, HOD, or vice chancellor arrives with requirements — exactly the starting point of 2.1. Work it in both directions:
Forward (requirement → diagram): "Every student is advised by exactly one instructor; an instructor advises zero to 20 students; a course has one or more sections; a student takes many sections and receives a grade." Draw: entities student, instructor, course, section; advisor with on student and on instructor; the identifying relationship section–course; takes with a grade attribute.
Backward (diagram → requirement): given the completed diagram, write the requirement story back out — naming each entity, each relationship, each cardinality, each participation, and each weak entity with its owner.
Mastery check: you can do both without looking at the example. The direction of the homework mirrors the two professional skills: eliciting a requirement into a design, and auditing an existing design against a requirement.
2.7.5 UML Notation for EER Diagrams
The session mentioned that textbooks use different nomenclatures — Silberschatz-Korth on one side, Elmasri-Navathe on the other. The UML notation is the other major convention a designer will meet in industry, because UML (the Unified Modeling Language) is the standard notation of software engineering, and the extended ER (EER) constructs of specialization and generalization have a direct, widely used UML rendering. The mapping is mechanical, and this supplement records it in full.
In UML, every entity type is drawn as a class — a rectangle divided into three compartments: the class name at the top, the attributes in the middle, and the operations in the bottom compartment. An attribute can be marked with a multiplicity in square brackets — [0..*] for multi-valued attributes — and underlined attributes denote keys. A relationship between entity types is drawn as an association: a plain line between the two classes, labelled with the relationship name, and a multiplicity label at each end. Multiplicity is exactly the (min, max) notation of the ER world, written in the form : 0..1 means zero or one (the "at most one" side), 1..1 or 1 means exactly one, 0..* or * means many (zero or more), and 1..* means at least one (the total-participation side). So the advisor relationship, read in the earlier sessions as "a student has at most one advisor, an instructor advises many students," is drawn in UML as a line labelled advises with 0..1 at the student class and * at the instructor class.
The construct the syllabus calls out is the UML rendering of specialization and generalization — the EER concepts of subclasses. UML draws an is-a hierarchy with a hollow triangle (a generalization arrow) pointing from the subclass to the superclass: a superclass class at the top, a line descending to the triangle, and lines fanning out to each subclass class. EMPLOYEE with subclasses SECRETARY and ENGINEER becomes:
[ EMPLOYEE ]
|
( / \ ) <- hollow triangle pointing up
/ \
[ SECRETARY ] [ ENGINEER ]
The triangle is the UML way of saying what the EER diagram says with a subset-symbol circle: every instance of the subclass is an instance of the superclass (is-a), and the subclass inherits all attributes and relationships of the superclass. A subclass may add its own attributes — ENGINEER adds engineer_rank — and may participate in relationships that the superclass does not have. Multi-level hierarchies and multiple inheritance are drawn by stacking triangles. The EER distinction between specialization (partitioning one superclass into subclasses) and generalization (factoring common attributes of several classes into a superclass) has the same UML picture — only the reading direction changes. UML also supports an {abstract} marker on the superclass for the case where instances exist only in subclasses — the analog of a total specialization that is not covering.
The concrete conversion recipe for a designer moving between the two notations: ER entity → UML class (name + attribute compartment, keys underlined, multivalued attributes in [..]); ER relationship → UML association (line with multiplicity m..n at each end, relationship attributes written in an association class box attached to the line by a dashed line); ER weak entity → UML class with a {partial key} marker and an association to the owner with a filled diamond (the UML composition symbol, the analog of the double rhombus); EER subclass/superclass → UML generalization triangle; EER category (union) → UML generalization with the hollow triangle pointing at the category class.
Q: Are relationship sets with key constraints still drawn in UML?
A: In UML they are usually simplified: a key constraint (the arrow side) is shown by placing the multiplicity 0..1 (or 1..1) at the constrained end, and often the association is drawn as a direct link between the two classes with no diamond at all. The ER diamond and the UML association line describe the same fact — the multiplicity states it in numbers where the ER arrow states it in a symbol.
Real-world: UML class diagrams are the everyday working notation of Java and .NET design teams, so a database designer who can read an EER diagram and redraw it in UML communicates directly with the application team — the ER diagram is the contract with the business user, and the UML class diagram is the contract with the programmers.
Recap + bridge: notations differ — Silberschatz arrows, Elmasri 1/M/N edges, UML multiplicities — but the meanings are the same; the full-diagram reading checklist and the UML conversion recipe make any convention readable. Next session converts diagrams into relational schemas, where keys and foreign keys finally get applied.
Real-world: modern design tools — ERwin, Rational Rose, draw.io, the modeling components of cloud database services — each ship their own symbol set, and every one of them is a dialect of the same ER grammar taught here. Tool fluency is notation fluency, and notation fluency is meaning fluency.
2.8 Managing Change: Agile Development and Database Scalability
Hook: a design that is perfect for 20 students is wrong for 60,000. Databases are not built once — they grow with the organization, and the ER diagram is what keeps that growth clean. This section follows a design through NoSQL migrations, agile requirement changes, and a ten-thousand-fold scale-up.
2.8.1 The ER Model Is Storage-Agnostic
Q: We are designing at the conceptual stage and have not decided what kind of schema we will use — relational or SQL. If I later decide to go for a NoSQL database, can the same ER diagram be used?
A: Of course — the process remains the same. The ER diagram captures the conceptual understanding of the user requirements. How you store it later is a separate decision: relational SQL, any form of NoSQL, graph notation, or key-value notation. The diagram does not lock you into a storage engine.
Why this works: the ER diagram records what the data means (entities, attributes, relationships, constraints), not how it will be stored. A relational schema is one target of the diagram; a document store (MongoDB), a wide-column store (Cassandra), a key-value store (Redis), or a graph database (Neo4j) are other targets drawn from the same picture. Each target has its own conversion rules — the ER-to-relational rules come next session — but the conceptual work is shared and never redone. This is exactly why the professor keeps saying: understand the syntax once, and any schema becomes readable.
Real-world: MongoDB and Cassandra are common NoSQL targets for teams migrating away from SQL databases; the conceptual ER work still drives those target designs. Migration projects routinely keep the original ER diagram as the master document and derive both the legacy and the new schema from it — the diagram is the single source of truth across engines.
2.8.2 Agile Development and Changing Requirements
Q: Current software development follows agile, so applications change constantly. How are changes with the database accepted?
A: Picture the client and the server. The client sends a request — find my CGPA, find a good restaurant nearby, read my emails, fetch the class files. The server holds all the information. Programs are not always monolithic: some deal with user registration, some work on the user data and find patterns. Everything need not be built in-house; another party's service exposes only a portion of itself through an API — an application programming interface — a proper systematic channel that shows only what you are allowed to access. Deeper, the architecture extends into microservices.
Why this matters for the database: the database is not an island. It sits behind the server, and the server's programs and APIs decide who sees what. When the requirement changes, it is usually a scalability requirement. Today there are only students; tomorrow the university adds an incubation center and a relationship between the incubation center, students, and instructors. Later it opens a school for the dependents of the organization's employees. The ER diagram already has concepts, constraints, and relationships defined; the new piece becomes a new relationship or a new table, and the schema grows cleanly. The constraints must stay satisfied from the beginning of the design, not only after a change, and redundancy must not creep in.
The vocabulary: client — the program or person making the request (a browser, a mobile app); server — the machine and software that hold the data and answer requests; API — the application programming interface, the controlled channel through which one program asks another for data, exposing only what is permitted; microservices — the architecture where the server side is split into many small services, each owning a piece of the data and communicating through APIs. The view layer of the three-schema architecture (2.3.1) is exactly what an API enforces: a portion of the stored data, chosen by the design.
Scope: the "schema grows cleanly" promise rests on two habits from earlier sections: constraints captured from day one, and no redundancy. A change that adds a relationship the diagram never anticipated (a new entity, a new table) is cheap; a change that violates a captured constraint (allowing a student two advisors where the diagram says ) or duplicates data (storing derived values) is where growth turns into corruption. Agile does not mean unconstrained — it means the constraint set is explicit, so a change's cost can be named and decided.
2.8.3 Scaling a 1:1 Design to N:M
Real-world: a work-learning program unit — an example, not an official case — starts with one-to-one mentorship because there are hardly 20 students and 50 teachers. Every student has at least one and at most one mentor; the numbers allow it. Then the organization grows to 60,000 students with different requirements. The same mentorship becomes N:M: any student can have any instructor, and any instructor can have any number of students, with no total participation. The change is aligned and stored properly in the schema — the same discipline you will apply when converting an ER diagram to a relational schema.
Worked example — the mentorship constraint change.
Phase 1 — 20 students, 50 teachers. Rule: every student has exactly one mentor. Diagram: student side (total participation — double line), teacher side (each teacher mentors at most one student; with 50 teachers and 20 students, some teachers mentor none, so the teacher side is partial in practice: ). The ratio reads with total participation on the student side.
Phase 2 — the program grows to 60,000 students. The old rule "every student has at most one mentor" is now a bottleneck: a single mentor can guide only one student, and 60,000 students need 60,000 mentors. The requirement changes to "any student may have any mentor; mentors may take any number of students."
New diagram: both sides become many — . Total participation is dropped on the student side (a student may have a mentor, no longer must), so the double line comes off. The change is two symbols on one diagram: the arrow sides change from one to many, and the double line becomes single.
| Property | Phase 1 | Phase 2 |
|---|---|---|
| Students | 20 | 60,000 |
| Ratio | 1:1 | M:N |
| Student side | at most one, at least one (total) | at most many, no minimum (partial) |
| Teacher side | at most one, no minimum | at most many, no minimum |
Sense-check: the same requirement vocabulary — "mentor" — survives the change; only the structural constraints change. The ER diagram made the change visible and cheap: two symbols to edit, the rest of the design untouched. Had the design skipped the diagram and gone straight to tables, this scale-up would have meant re-engineering the storage and every query that assumed one mentor per student.
2.8.4 Where the Database Lives
Any application queries the database to satisfy the client. The whole system may be hosted on a central server in the organization, on a cloud platform such as AWS or Azure, or even as a blockchain application running on Ethereum, Solana, or Polkadot. The building blocks are the same; you apply your judgment to the requirement at hand.
Recap + bridge: the ER model is storage-agnostic; the client–server–API–microservices world changes the environment around the database, never the conceptual meaning inside the diagram; and constraint changes (1:1 to N:M) are edits to the diagram, not rewrites of the world. Next session converts the finished diagram into a relational schema — where keys, foreign keys, and composite keys finally meet real tables.
Real-world: this is the modern deployment landscape — central servers, cloud platforms, and distributed ledger platforms all sit behind the same conceptual design work. A startup's ordering system on AWS, a bank's core ledger on central servers, and a supply-chain tracker on a blockchain can share one ER design because the diagram describes the miniworld, not the hardware.
Exam Guidance Summary
- Focus on the syntax of ER modeling. Once you understand the syntax of one modeling language, you can understand any other modeling process and any other schema; the process is what carries across companies and projects.
- After this session you should be able to do two things: take a written requirement and create the ER diagram for it, and take a given ER diagram and read it across — every entity, relationship, cardinality, and participation.
- Converting the ER diagram into a relational schema is the next session's topic, and the application of foreign keys comes with it. Hold the key concepts until then.
- Practice the cardinality and total participation reading — at most versus at least — because this is a very likely question area and the most confusing point in this session. Drill the combined reading: arrows state the maximum, the double line states the minimum.
- The university exercise from the textbook — a dean, director, HOD, or vice chancellor bringing requirements — is the running example for the whole design process. Practice both directions: requirement to diagram, and diagram back to requirement.
- The key vocabulary to state precisely: super key versus candidate key versus primary key (minimality), foreign key (references another table's primary key), weak entity (double rectangle), partial key (dashed underline), identifying relationship (double rhombus), and the bounds notation for exact limits.
- The official session materials are part of the examination; the extra practice videos are not official.
- SQL queries and lab sheets come in the next session.
Key Industry Applications
- Real-world: ER diagrams serve as the shared contract between business users and engineering teams, and as an audit record when a requirement dispute or a ticket arises. The diagram is the agreed statement of what was requested, designed, and confirmed — anything beyond it is costed separately.
- Real-world: teams migrating away from legacy SQL databases target NoSQL systems such as MongoDB and Cassandra; the conceptual ER design still drives the target schema. The diagram is the master document from which both the legacy and the new schema are derived.
- Real-world: applications expose only part of their data through APIs — application programming interfaces — and large systems split into microservices; the database sits behind both, and the view/API layer enforces what each consumer may see.
- Real-world: production systems run on central organization servers, cloud platforms (AWS, Azure), or blockchain platforms (Ethereum, Solana, Polkadot) — the same conceptual design serves all three.
- Real-world: a college portal (an eLearn-style application) uses only a view of your stored profile — name and email, not your full street address. This is the view level of the three-tier architecture in action.
- Real-world: organizations store psychological profiling data (DISC, ESTJ-style profiles) alongside personal records, as in the Jay example — the designer must capture such fields as attributes without judging the requirement.
- Real-world: mind map tools help design teams organize requirements systematically; any structured tool that keeps every clause visible while the diagram grows serves the same purpose.
- Real-world: the two widely used ER notation conventions come from the Silberschatz and Korth textbook and the Elmasri Navathe textbook, and UML class diagrams add the third convention designers meet in industry; fluency across them is standard practice.
DDA Lecture 2 notes · Entity–Relationship Modeling
Sections Breakdown
Every database design runs from a user requirement, through an ER diagram that acts as the verifiable contract and audit record, to a relational schema.
Entities as the nouns of the modeled world, entity sets as their collections, and the designer’s judgment in deciding what becomes an entity or an attribute.
Attribute types: simple vs composite, single-valued vs multi-valued, stored vs derived, and null vs candidate key, with the instructor profile worked example.
Super key, candidate key, primary key, and foreign key, with referential integrity and the intern-story and course-table worked examples.
Relationships and cardinality ratios (1:1, 1:N, M:N), arrow notation, total vs partial participation, and min..max bounds notation.
Weak entity sets: the owner entity, partial key, identifying relationship, and the key union formula, with the dependents and section worked examples.
ER notation conventions (Silberschatz–Korth, Elmasri–Navathe, UML), reading complete diagrams, and UML rendering of EER constructs.
Storage-agnostic ER modeling, agile requirement changes, scaling a 1:1 design to N:M, and where the database lives in modern architectures.
The professor’s exam strategy: requirement-to-diagram and diagram-reading skills, the at-most versus at-least reading, and precise key vocabulary.
Real-world uses: ER diagrams as contracts and audit trails, NoSQL and cloud migrations, APIs and microservices, and notation fluency.
Exam Revision Notes
Below is the distilled, exam-ready core. Every entry comes from the full explanation above. Use this section for rapid review; return to the main notes when a point needs more context.
The Database Design Process
Must-know: ER modeling converts a user requirement into diagrammatic form; the ER diagram is the one-page agreed statement that captures attributes AND constraints and doubles as the audit record.
⚠️ Top pitfall: Jumping directly from the user requirement to a relational schema risks missing constraints, requirements, and scalability aspects; the intermediate diagram makes capture verifiable.
Self-check: A dean asks you to store everything about a person. What is the first artifact you produce, and what must it contain besides the attributes?
Connects to: 2.2, 2.3, 2.4.
Entities and Entity Sets
Must-know: An entity is the unit of the world we model (physical or conceptual); an entity set is the collection of all entities of the same kind; the noun-to-entity and verb-to-relationship mapping comes from the requirement narrative.
⚠️ Top pitfall: Copying the user's words mechanically: whether a concept is an entity or an attribute depends on whether it carries structure, relationships, and queries of its own, not on the word used.
Self-check: In "a student takes a course", which words become entities, which become the relationship, and why?
Connects to: 2.1, 2.3, 2.5.
Attributes and Their Types
Must-know: Attribute types: simple/atomic vs composite (hierarchies of components), single-valued vs multi-valued (written in curly braces), stored vs derived (dotted oval, computed at run time, e.g. age from date of birth), and null (not applicable vs unknown) which is forbidden for candidate keys.
⚠️ Top pitfall: Storing a derived value like age next to date of birth: the two drift apart over time; derived attributes must be computed at run time, not stored.
Self-check: Why is age drawn in a dotted oval while date of birth is drawn in a solid oval, and which one is stored in the database?
Connects to: 2.2, 2.4.
Keys: Super Key, Candidate Key, Primary Key, Foreign Key
Must-know: Super key: any unique set, may be non-minimal. Candidate key: minimal unique set; a table can have several. Primary key: the candidate key the administrator picks; never null. Foreign key: attribute referencing another table's primary key; an entry can exist only if the referenced record exists (referential integrity).
⚠️ Top pitfall: Calling a set of attributes 'a key' before checking minimality — the correct label is super key until you confirm no attribute can be removed without losing uniqueness.
Self-check: In the intern story, why are {Name, ID, Email} a super key but not a candidate key, while {ID} alone is a candidate key?
Connects to: 2.3, 2.5, 2.6.
Relationships, Cardinality Ratios, and Participation
Must-know: Cardinality ratio (1:1, 1:N, M:N) talks only about at most; total participation (double line) talks about at least. The min..max bounds notation (0..20, 1..1) states exact limits: min 0 = partial, min > 0 = total. Arrowheads mean at most one; plain lines mean many.
⚠️ Top pitfall: Assuming 1:1 implies total participation on both sides, or merging cardinality with participation — at most and at least are independent readings of the same diagram.
Self-check: A rule says 'every student must have exactly one advisor; an instructor advises zero to 20 students.' Write both sides in bounds notation and say which side carries the double line.
Connects to: 2.4, 2.6, 2.8.
Weak Entity Sets and Strong Entity Sets
Must-know: Strong entity: own attributes (or a subset) uniquely distinguish entities. Weak entity: all attributes together cannot; drawn as a double rectangle, with a partial key (dashed underline) and an owner entity whose key completes the identity. Candidate key: K_weak = K_owner union P. Identifying relationship (double rhombus) has total participation from the weak side.
⚠️ Top pitfall: Drawing a double rhombus on every relationship a weak entity joins — only the identifying relationship to the owner is double; Takes remains a normal single rhombus.
Self-check: A section has Section_ID, Year, and Semester yet still cannot identify itself. Which entity supplies the missing part of the key, and what is the partial key?
Connects to: 2.4, 2.5, 2.7.
ER Diagram Notation and Reading Conventions
Must-know: No single standard notation exists; Silberschatz–Korth arrows, Elmasri–Navathe 1/M/N edges, and UML m..n multiplicities express the same facts. Reading a diagram means listing entities, then for each relationship reading cardinality (at most) and participation (at least), then checking weak entities and their owners. UML: class = entity, association = relationship, hollow triangle = generalization, filled diamond = composition (weak entity to owner).
⚠️ Top pitfall: Believing one notation is 'correct' and others wrong, or confusing the UML multiplicity end with the ER arrow end — the (min, max) is placed at the opposite end in UML compared to the Elmasri convention.
Self-check: In UML, how is 'every student has exactly one advisor' written on the association line, and which symbol replaces the double rhombus for a weak entity?
Connects to: 2.5, 2.6, 2.8.
Managing Change: Agile Development and Database Scalability
Must-know: The ER diagram captures conceptual understanding independent of the storage engine; requirement changes under agile appear as new relationships or tables; a 1:1 total-participation design can scale to M:N by editing the arrows and the double line — constraints from day one and no redundancy keep the growth clean.
⚠️ Top pitfall: Believing the storage engine choice (SQL vs NoSQL) changes the conceptual design, or letting a requirement change violate a captured constraint (e.g., silently allowing a second advisor where the diagram says 1..1).
Self-check: A mentorship program grows from 20 to 60,000 students. Which two symbols on the ER diagram change, and which participation line comes off?
Connects to: 2.1, 2.5.
Exam Guidance Summary
Must-know: Be able to create an ER diagram from a written requirement and read a given diagram across; the at most (cardinality) versus at least (total participation) reading is the likely question area; key terminology must be stated precisely.
⚠️ Top pitfall: Confusing cardinality ratio (at most) with total participation (at least) when reading a diagram.
Self-check: Name the two skills that define mastery of this stage and the one distinction most likely to appear in an exam.
Connects to: 2.1, 2.5, 2.7.
Key Industry Applications
Must-know: The ER diagram is the contract with the business user and the audit trail for disputes; it is storage-agnostic and drives relational, NoSQL, cloud, and blockchain targets alike.
Self-check: Why does a team migrating from SQL to MongoDB keep the original ER diagram as the master document?
Connects to: 2.1, 2.8.
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