7. Generating sequences of random-like numbers in a specific range. Xi+1 = aX; + c Mod m where, X, is the sequence of pseudo-random numbers m, (> 0) the modulus a, (0, m) the multiplier c, (0, m) the increment X0, [0, m) – Initial value of sequence known as seed m, a, c, and Xo should be chosen appropriately to get a period almost equal to m. For a = 1, it will be the additive congruence method. For c = 0, it will be the multiplicative congruence method. Approach: • Choose the seed value Xo, Modulus parameter m, Multiplier term a, and increment term c. Initialize the required amount of random numbers to generate (say, an integer variable noOfRandomNums). Define a storage to keep the generated random numbers (here, vector is considered) of size no0fRandomNums. • Initialize the Oth index of the vector with the seed value. For rest of the indexes follow the Linear Congruential Method to generate the random numbers. randomNums[i] = ([randomNums[i – 1] * a) + c) % m

7. Generating sequences of random-like numbers in a specific range. Xi+1 = aX; + c Mod m where, X, is the sequence of pseudo-random numbers m, (> 0) the modulus a, (0, m) the multiplier c, (0, m) the increment X0, [0, m) – Initial value of sequence known as seed m, a, c, and Xo should be chosen appropriately to get a period almost equal to m. For a = 1, it will be the additive congruence method. For c = 0, it will be the multiplicative congruence method. Approach: • Choose the seed value Xo, Modulus parameter m, Multiplier term a, and increment term c. Initialize the required amount of random numbers to generate (say, an integer variable noOfRandomNums). Define a storage to keep the generated random numbers (here, vector is considered) of size no0fRandomNums. • Initialize the Oth index of the vector with the seed value. For rest of the indexes follow the Linear Congruential Method to generate the random numbers. randomNums[i] = ([randomNums[i – 1] * a) + c) % m

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

Question

7. Generating sequences of random-like numbers in a specific range.
Xi+1 = aX; + c Mod m
where,
X, is the sequence of pseudo-random numbers
m, ( > 0) the modulus
a, (0, m) the multiplier
c, (0, m) the increment
X0, [0, m) – Initial value of sequence known as seed
m, a, c, and Xo should be chosen appropriately to get a period almost equal to m.
For a = 1, it will be the additive congruence method.
For c = 0, it will be the multiplicative congruence method.
Approach:
• Choose the seed value Xo, Modulus parameter m, Multiplier term a, and increment term c.
• Initialize the required amount of random numbers to generate (say, an integer
variable no0fRandomNums).
• Define a storage to keep the generated random numbers (here, vector is considered) of
size no0fRandomNums.
Initialize the 0th index of the vector with the seed value.
For rest of the indexes follow the Linear Congruential Method to generate the random
numbers.
randomNums[i] = ([randomNums[i – 1] * a) + c) % m

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