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MADE EASY Relational Algebra
In a relational algebra ∩ is not a basic operator, to make it basic only relational operator we should have are X, – X, U U, –
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ISI2018PCBB10
Consider two $n \times 1$ vectors $u$ and $v$ , stored as table $U(ind,val)$ and $V(ind,val)$ with the same schema A row $(i,u_i)$ of table $U$ specifies the $i^{th}$ element of vector $u$ has value $u_i$ (similarly for $v$, respectively). ... $u + v$ of the two vectors $u$ and $v$. Explain your solution.
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Made Easy Test Series:Relational Algebra
... this implication holds true?? Selection operation is commutative. But is two project operation can be merge in one project operation? Can project operation removes duplicates too??
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May 9
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Raghuramkrishnan Exercise4.3 question 11 page no127 Relational Algebra
Suppliers(sid, sname, address) Parts(pid, pname, color) Catalog(sid, pid, cost) Find the pids of the most expensive parts supplied by suppliers named Yosemite Sham
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Raghuramkrishnan Exercise4.3 page127
Given relation catalog(sid, pid, cost) Find pairs of sids such that the supplier with the first sid charges more for some part than the supplier with the second sid what is the relational algebra expression for this?
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Self Doubt on SQL AND operator
Here why does the 5th query select * from employees natural join works_on where PID = 'X' AND PID='Y'; is not working The queries are The output are
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Apr 30
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Raghuramkrishnan Exercise 4.1 Relational Algebra
Given two relations R1 and R2, where R1 contains N1 tuples, R2 contains N2 tuples, and N2>N1> 0, give the minimum and maximum possible sizes (in tuples) for the result relation produced by each of the following relational algebra expressions. In each ... $σa=5(R1)$ (selection) $\pi a(R1)$ (projection) $R1/R2$ (division)
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Apr 11
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ISI2017PCBB3(b)
Consider the following relations: $\text{STD_CHOICES } (\underline{Student\_ID}, \underline{Course\_ID}, Semester)$ and $COURSE\_ASSIGN (\underline{Teacher\_ID}, \underline{Course\_ID}, \underline{Semester})$. The former indicates the choice of courses for ... the ID for all the students who have not been taught by the same teacher in more than one course across all semesters.
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Apr 8
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Self Doubt
We know that Relational Algebra is $Procedural$ whereas TRC and DRC are $NonProcedural$ querry languages. But what exactly differentiates them? Please explain using some example. In Relational Algebra we give what to retrieve ... https://stackoverflow.com/questions/32837278/differencebetweenrelationalalgebraandrelationalcalculus/32841232#32841232 Please explain using some example
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Mar 30
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DBMS Korth Edition 6 Exercise 6 Question 18 (Page No. 254)
Let R = (A, B) and S = (A, C), and let r (R) and s(S) be relations. Using the special constant null, write tuplerelationalcalculus expressions equivalent to each of the following: a. r $ROJ$ s b. r $FOJ$ s c. r $LOJ$ s
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Mar 27
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Dbms, relational algebra.
Consider two relations R1 , R2 with N1 and N2 tuples where N2 > N1 > 0, what are the minimum and maximum rows for the RA expression R2/R1 ?
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Mar 27
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DBMS Korth Edition 6 Exercise 6 Question 16 (Page No. 254)
Let R = (A, B) and S = (A, C), and let r (R) and s(S) be relations. Write relationalalgebra expressions equivalent to the following domainrelational calculus expressions: a. {< a >  ∃ b (< a, b > ∈ r ∧ b = 17)} b. {< a, b, c >  ... < a, c > ∈ s ∧ ∃ b1, b2 (< a, b1 > ∈ r ∧ < c, b2 > ∈ r ∧ b1 > b2))}
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DBMS Korth Edition 6 Exercise 6 Question 15 (Page No. 253254)
Consider the employee database shown here. Give expressions in tuple relational calculus and domain relational calculus for each of the following queries: a. Find the names of all employees who work for First Bank Corporation . b ... (person name, company name, salary) company (company name, city) manages (person name, manager name)
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Mar 26
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DBMS Korth Edition 6 Exercise 6 Question 14 (Page No. 253)
Consider the following relational schema for a library: member(memb_no, name, dob) books(isbn, title, authors, publisher) borrowed(memb_no, isbn, date) Write the following queries in relational algebra. a. Find the names of members ... if a member does not borrow any books, then that member does not appear in the borrowed relation at all.
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Mar 26
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DBMS Korth Edition 6 Exercise 6 Question 13 (Page No. 253)
Consider the relational database shown here. Give a relationalalgebra expression for each of the following queries: a. Find the company with the most employees. b. Find the company with the smallest payroll. c. Find those ... works (person name, company name, salary) company (company name, city) manages (person name, manager name)
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Mar 26
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DBMS Korth Edition 6 Exercise 6 Question 12 (Page No. 253)
Using the university example, write relationalalgebra queries to find the course sections taught by more than one instructor in the following ways: a. Using an aggregate function. b. Without using any aggregate functions.
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Mar 26
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DBMS Korth Edition 6 Exercise 6 Question 11 (Page No. 252)
Consider the relational database shown here, where the primary keys are underlined. Give an expression in the relational algebra to express each of the following queries: a. Find the names of all employees who work for First Bank ... works (person name, company name, salary) company (company name, city) manages (person name, manager name)
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Mar 26
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DBMS Korth Edition 6 Exercise 6 Question 10 (Page No. 252)
Write the following queries in relational algebra, using the university schema. a. Find the names of all students who have taken at least one Comp. Sci. course. b. Find the IDs and names of all students who have ... instructor. d. Find the lowest, across all departments, of the perdepartment maximum salary computed by the preceding query.
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Mar 26
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DBMS Korth Edition 6 Exercise 6 Question 9 (Page No. 252)
Describe how to translate join expressions in SQL to relational algebra.
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Mar 26
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DBMS Korth Edition 6 Exercise 6 Question 8 (Page No. 251)
Consider the relational database given below where the primary keys are underlined. Give an expression in tuple relational calculus for each of the following queries: a. Find all employees who work directly for Jones. b. Find all ... works (person name, company name, salary) company (company name, city) manages (person name, manager name)
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Mar 26
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DBMS Korth Edition 6 Exercise 6 Question 7 (Page No. 251)
Let R = (A, B) and S = (A,C), and let r (R) and s(S) be relations.Write expressions in relational algebra for each of the following queries: a. {< a >  ∃ b (< a, b > ∈ r ∧ b = 7)} b. {< a, b, c >  < a, b > ∈ r ∧ < ...  ∃ c (< a, c > ∈ s ∧ ∃ b1, b2 (< a, b1 > ∈ r ∧ < c, b2 > ∈ r ∧ b1 > b2))}
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DBMS Korth Edition 6 Exercise 6 Question 5 (Page No. 251)
Let the following relation schemas be given: R = (A, B,C) S = (D, E, F) Let relations r(R) and s(S) be given. Give an expression in the tuple relational calculus that is equivalent to each of the following: a. $\prod _A(r)$ b. $\sigma _{B =17} (r )$ c. r × s d. $\prod _{A,F} (\sigma _{C = D}(r × s))$
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Mar 26
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DBMS Korth Edition 6 Exercise 6 Question 4 (Page No. 250)
(Division operation): The division operator of relational algebra, , is defined as follows. Let r (R) and s(S) be relations, and let S ⊆ R; that is, every attribute of schema S is also in schema R. ... using division. (By doing so, you would have shown how to define the division operation using the other relational algebra operations.)
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Mar 26
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DBMS Korth Edition 6 Exercise 6 Question 3 (Page No. 250)
The natural outerjoin operations extend the naturaljoin operation so that tuples from the participating relations are not lost in the result of the join. Describe how the thetajoin operation can be extended so that tuples from the left, right, or both relations are not lost from the result of a theta join.
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DBMS Korth Edition 6 Exercise 6 Question 2 (Page No. 250)
Consider the relational database given below, where the primary keys are underlined. Give an expression in the relational algebra to express each of the following queries: a. Find the names of all employees who live in the same ... works (person name, company name, salary) company (company name, city) manages (person name, manager name)
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DBMS Korth Edition 6 Exercise 6 Question 1 (Page No. 249)
Write the following queries in relational algebra, using the university schema. a. Find the titles of courses in the Comp. Sci. department that have 3 credits. b. Find the IDs of all students who were taught by an ... enrollment, across all sections, in Autumn 2009. g. Find the sections that had the maximum enrollment in Autumn 2009.
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DBMS Korth Edition 6 Exercise 2 Question 13 (Page No. 55)
Consider the bank database. Give an expression in the relational algebra for each of the following queries: a. Find all loan numbers with a loan value greater than ... borrower (customer name, loan number) account (account number, branch name, balance) depositor (customer name, account number)
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Mar 25
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DBMS Korth Edition 6 Exercise 2 Question 12 (Page No. 55)
Consider the relational database shown below. Give an expression in the relational algebra to express each of the following queries: a. Find the names of all employees who work for First Bank Corporation . b. Find the names and ... . employee (person name, street, city) works (person name, company name, salary) company (company name, city)
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Mar 25
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DBMS Korth Edition 6 Exercise 2 Question 10 (Page No. 54)
Consider the advisor relation shown in Figure , with s id as the primary key of advisor. Suppose a student can have more than one advisor. Then, would s id still be a primary key of the advisor relation? If not, what should the primary key of advisor be?
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Mar 23
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DBMS Korth Edition 6 Exercise 2 Question 9 (Page No. 55)
Consider the bank database given below. a. What are the appropriate primary keys? b. Given your choice of primary keys, identify appropriate foreign keys. branch(branch name, branch city, assets) customer (customer name, ... (customer name, loan number) account (account number, branch name, balance) depositor (customer name, account number)
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