Operating Systems Exam Preparation: Core Concepts

CPU Scheduling Fundamentals

CPU scheduling is the process by which the operating system selects which process to execute next. Algorithms aim to optimize metrics such as waiting time, turnaround time, and response time.

Key Performance Metrics

  • Completion Time (CT): The moment a process finishes.
  • Turnaround Time (TAT): TAT = Completion Time - Arrival Time
  • Waiting Time (WT): WT = Turnaround Time - Burst Time
  • Response Time (RT): RT = First time it runs - Arrival Time

Base Example Data

ProcessArrivalBurst
P106
P213
P328
P434

Scheduling

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Data Structures and Algorithms Cheat Sheet

Big-O and Theta Notation

1 < log n < (log n)² < n < n log n < n² < n²log n < n³ < 2ⁿ

  • Θ (Theta): Tight bound/actual growth.
  • O (Big-O): Upper bound/worst-case.
  • Ω (Omega): Lower bound.

Note: Ignore constants and smaller terms. Example: 3n²+5n+1 = Θ(n²)

Loop Complexity Rules

  • i++ or i=i+2: O(n)
  • i=i*2 or i=i/2: O(log n)
  • Nested loops: Multiply complexities (e.g., O(n log n)).
  • Sequential loops: Add complexities (e.g., O(n) + O(log n) = O(n)).

Universal Loop Analysis

“Outer loop

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1. Algebraic System

An algebraic system is a non-empty set together with one or more operations (like addition or multiplication) defined on it.
Example: A set AAA with an operation ∗*∗ is written as (A,∗)(A, *)(A,∗).


2. Semigroup

A semigroup is a set SSS with a binary operation ∗*∗ that is associative:

(a∗b)∗c=a∗(b∗c),∀a,b,c∈S(a * b) * c = a * (b * c), \quad \forall a,b,c \in S(a∗b)∗c=a∗(b∗c),∀a,b,c∈S


3. Monoid

A monoid is a semigroup that has an identity element eee,

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BASIC DEFINITIONS

Static Website

Fixed content, same for all users, no server processing

Dynamic Website

Content changes based on user/data, uses backend

Web Application

Interactive software running in browser (like Gmail)

Frontend vs Backend

Frontend → UI (HTML, CSS, JS)

Backend → Server, database, logic

Full Stack Development

Working on both frontend + backend

SPA (Single Page Application)

Loads one page, updates content dynamically

Advantages of SPA

Fast, smooth UX, less reload, better performance

🔹 NODE.

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Natural Language Processing: Meaning Representation and Parsing

1. Meaning Representation in NLP

Meaning representation in Natural Language Processing (NLP) refers to the process of converting natural language into a formal structure that a machine can understand and reason about. It involves representing the semantics of words, phrases, and sentences using logical forms, semantic networks, frames, or predicate logic. The goal is to capture the intended meaning of a sentence rather than just its syntactic structure.

The need for meaning representation arises because

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Regression and Segmentation are two important analytical approaches used in data science. Regression is used to predict continuous numerical values, such as sales, profit, or temperature. It establishes a relationship between dependent and independent variables. On the other hand, Segmentation (often linked with clustering) is used to group similar data points into distinct categories based on patterns, such as customer segmentation in marketing.Supervised and Unsupervised learning are the two main

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