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determinant of a matrix using gaussian elimination

Determinant of a Matrix Using Gaussian Elimination: Step-by-Step from Theory to Examples

30/11/2025 Rostyslav Vereshchak Fundamentals of Matrix Algebra

The determinant of a matrix is a numerical value associated with a square matrix that reveals essential properties about it.

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derivative of arcsin

Derivative of Arcsin: Formula, Step-by-Step Proof, and Practical Examples

29/11/2025 Rostyslav Vereshchak Derivative and Differential

The derivative of arcsin is an important topic that brings together ideas from trigonometry, inverse functions, and basic mathematical analysis.

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properties of a circle

Properties of a Circle: Overview and Applications in Geometric Problems

23/11/2025 Rostyslav Vereshchak Circle

A circle is a special geometric figure that appears when we connect all points that are at the same fixed

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determinant of a matrix

Determinant of a Matrix: Properties and Formulas for Practice

22/11/2025 Rostyslav Vereshchak Fundamentals of Matrix Algebra

The determinant of a matrix is a fundamental concept in linear algebra that every student in technical or mathematical fields

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what is a circle

What is a Circle: A Complete Overview and Practical Applications

16/11/2025 Rostyslav Vereshchak Circle

A circle is one of the basic geometric figures we study in mathematics. At first glance, it may seem a

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derivative of cotangent

Derivative of Cotangent: Formula, Proof, Practice

15/11/2025 Rostyslav Vereshchak Derivative and Differential

The derivative of cotangent is an important topic to explore in higher mathematics. Why is it necessary? It demonstrates how

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combined secant-newton method

Combined Secant-Newton Method: Tangent Speed and Chord Reliability

09/11/2025 Rostyslav Vereshchak Numerical Methods for Solving Single-Variable Equations

The combined secant-Newton method blends two strengths of numerical root-finding: it keeps the solution inside a trusted interval and it

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area of a sector of a circle

Area of a Sector of a Circle: Theory and Practical Application

08/11/2025 Rostyslav Vereshchak Circle

Area of a sector of a circle is the region inside a part of a circle bounded by an arc

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method of successive approximations

Method of Successive Approximations: A Simple Way to Solve Hard Equations

02/11/2025 Rostyslav Vereshchak Numerical Methods for Solving Single-Variable Equations

Method of successive approximations is a convenient tool for finding roots of nonlinear equations when an exact analytical solution is

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area of a circle

Area of a Circle: Exploring Formulas and Calculation Examples

01/11/2025 Rostyslav Vereshchak Circle

The area of a circle is a fundamental concept in mathematics that appears across many fields. When you know how

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Numerical Methods

  • Eigenvalues and Eigenvectors
  • Finding Maximum and Minimum Values of a Function
  • Fundamentals of Matrix Algebra
  • Numerical Integration and Differentiation
  • Numerical Methods for Solving Single-Variable Equations
  • Solving Ordinary Differential Equations
  • Solving Systems of Linear Equations

Geometry

  • Area and Perimeter
  • Circle
  • Polygons
  • Solid Geometric Shapes
  • Surface Area and Volume of Geometric Shapes
  • Triangles

Mathematics

  • Derivative and Differential
  • Fractions
  • Function Research
  • Logarithmic equations
  • Quadratic equations

Python Programming Language

  • Basic Syntax
  • Conditional Statements
  • Introduction to Python
  • Loops

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