Basic Geometric Concepts and Definitions

Posted by on Mar 9, 2025 in Mathematics | 0 comments

Magnitude

Magnitude: A property of objects, considered individually with respect to other properties it may have. It is required to be measurable, in the sense that it is possible to represent it by numbers.

Extensive vs. Intensive Magnitudes

  • Extensive: It is possible to define the sum between different quantities of that magnitude, and that operation verifies certain properties (opposite element, associative, commutative, neutral element) (e.g., length, speed).
  • Intensive: The sum operation does not
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Understanding Financial Investments: Types, Maturity, and Profitability

Posted by on Mar 8, 2025 in Mathematics | 0 comments

Financial Function: Investing

An investment is an allocation of resources with the expectation of future benefit. This involves acquiring an asset with the hope that its value will increase or generate income.

Types of Investments

Investments can be classified in several ways:

  • Asset vs. Asset Investments: Distinguishing between investments in different types of assets. Companies often consider investments in complementary assets and fixed assets.
  • Financial vs. Productive Investments: Financial investments
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Mastering Linear Equations: Forms, Slope, and Intercepts

Posted by on Mar 7, 2025 in Mathematics | 0 comments

Forms of Linear Equations

1. Slope-Intercept Form

This form is represented as:

y = mx + b

  • m = slope (rise/run)
  • b = where the line crosses the y-axis (y-intercept)

How to Use:

  1. Start at b (on the y-axis).
  2. Use the slope (rise/run) to plot more points.

Example:
If m = 2 and b = -3, the equation is:
y = 2x – 3

2. Point-Slope Form

This form uses:

y – y₁ = m(x – x₁)

  • m = slope
  • (x₁, y₁) = a point on the line

Steps to Convert to Slope-Intercept Form:

  1. Start with the formula: y – y₁ = m(x – x₁)
  2. Distribute (multiply)
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Image Processing Functions and Formulas

Posted by on Mar 7, 2025 in Mathematics | 0 comments

Image Processing Functions

Morphological Operations

Opening and Closing:

function [openedImage, closedImage] = opening_closing(image, se)
    openedImage = imopen(image, se);
    closedImage = imclose(image, se);
end

Erosion and Dilation:

function [erodedImage, dilatedImage] = erosion_dilation(image, se)
    erodedImage = imerode(image, se);
    dilatedImage = imdilate(image, se);
end

Color Space Conversions

RGB to HSI:

function [HSI] = rgb_2_hsi(RGB)
    R = double(RGB(:,:,1)) / 255;
    G = double(RGB(
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Probability: Definitions and Key Concepts Explained

Posted by on Mar 4, 2025 in Mathematics | 0 comments

Probability: Definitions and Key Concepts

Probability: A numeric measure of the likelihood that an event will occur.
Impossible Event: An event that is certain not to occur. The probability of an impossible event is 0.
Certain Event: An event that is certain to occur. The probability of a certain event is 1.
Experiment: Any process that generates well-defined outcomes.
Sample Space: The set of all sample points (experimental outcomes).
Sample Point: An experimental outcome and an element of the sample
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Auditing Documentation: Purpose, Characteristics, and Types

Posted by on Mar 3, 2025 in Mathematics | 0 comments

Definition of Working Papers

Working papers are records prepared by the auditor. They document the work performed, the information collected, and the methods, procedures, and tests conducted, along with the conclusions reached. They serve as supporting documentation for each and every action taken by the auditor.

Objectives of Working Papers

The basic objectives are:

  • Collecting evidence from the implementation of the work and the means by which the auditor has formed an opinion.
  • To be useful in carrying
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