DA321 Multimodal Data Analysis & Learning Exam Solutions

DA321: Multimodal Data Analysis and Learning-I Exam Solutions

Question 1: Image Intensity Histogram and Convolution (4 Points)

Approach:

  1. Constructing the Histogram:

    • Create an 8 × 8 matrix with alternating black (0) and white (255) pixels.
    • Count the frequency of pixel values (0 and 255) to plot the histogram.
    • Resulting histogram:
      • 32 pixels with intensity 0.
      • 32 pixels with intensity 255.
  2. Applying the 2 × 2 Smoothing Kernel:

    • Kernel: 1/4.
    • Apply convolution by moving the kernel over the image, assuming mirrored
Read More

Construction Quality Control: Materials & Execution

Item 15 – Quality Control

Quality control in construction ensures adherence to specifications through documented procedures, including receipt control and documentation filing. It aims to prevent errors in construction stages.

Quality control involves two phases:

  • Control of Materials
  • Control of Execution

Key Definitions

  • Departure: Number of products in a transport unit.
  • Remittance: Products from one source in a transport unit.
  • Collection: Stored material amount.
  • Batch of Material: Material quantity received
Read More

Number System Conversions and Boolean Simplification

Number System Conversions

A. Binary to Hexadecimal

Convert (10000101)₂ to hexadecimal:

1. Group the binary digits into sets of four, starting from the right: 1000 0101

2. Convert each group to its hexadecimal equivalent:

  • 1000₂ = 8₁₆
  • 0101₂ = 5₁₆

Therefore, (10000101)₂ = (85)₁₆

B. Hexadecimal to Decimal

Convert (AA)₁₆ to decimal:

(AA)₁₆ = (10 × 16¹) + (10 × 16⁰) = 160 + 10 = (170)₁₀

C. Decimal to Binary

Convert (5.15)₁₀ to binary:

Integer Part

Convert 5₁₀ to binary:

  • 5
Read More

Human vs. Machine Translation: Bridging the Language Gap

Decoding Words or Capturing Meaning?

In the race to break language barriers, a fundamental question arises: are machines simply decoding words, or is human translation still crucial for capturing the true heart and meaning of a text? Machine translation relies on algorithms and vast datasets to instantly convert text between languages. However, it often struggles with nuanced meanings, idioms, and cultural contexts. Human translation, conversely, leverages the translator’s expertise, cultural understanding,

Read More

Inventory Management: A Comprehensive Guide

Inventory Management

Introduction

Inventories are collections of raw materials, supplies, components, work-in-progress, and finished products found throughout a company’s production and logistics channels. Maintaining these inventories can cost between 2% and 4% of their value annually.

Inventory Systems

An inventory system consists of policies and controls designed to:

  • Monitor inventory levels
  • Determine optimal stock levels
  • Establish replenishment schedules
  • Determine order sizes

Inventory Analysis

Inventory

Read More

Understanding Airfoils: An In-Depth Guide

Airfoils

General Values:

NACA 2412 KqYXZgAAAABJRU5ErkJggg==

Conservation of Mass: ṁ1 = ṁ2 (ρ1*V1*A1 = ρ2*V2*A2)

#1: Chamber (0.02 * cord length)

Bernoulli’s Principle: BKOXOmOH2JgAAAAASUVORK5CYII=

#2: Chamber Location (0.4 * cord length)

Dynamic Pressure (q): q = (1/2) * ρ * V^2

#3+4: Max Thickness (0.12 * cord length)

Ideal Gas Law: P = ρ / (R * T)

Lift Coefficient (cL): cL = L / (q * span * cord)

Gas Constant (R): R = (8.314 / M), where M is the molar mass of the gas. For air, R = 287 (m^2/(s^2K))

Drag Coefficient (cD): cD = D / (q * span * cord)

Total

Read More