math-unlimited

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math-unlimited npm package

npm i math-unlimited@latest

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Arithmetic Operations

Includes support for basic operations: addition, subtraction, multiplication, division, and modulus. Advanced operations like exponentiation, square root, and logarithmic calculations. Fraction operations: addition, subtraction, multiplication, and division of fractions. Decimal to fraction conversion and vice versa.

Number Theory

Identify prime numbers, composite numbers, and factors of integers. Perform GCD (Greatest Common Divisor) and LCM (Least Common Multiple) calculations. Support for modular arithmetic and solving modular equations. Check properties of numbers, e.g., perfect numbers, Armstrong numbers, or palindromic numbers.

Geometry Operations

Calculate area and perimeter of 2D shapes like triangles, rectangles, circles, and polygons. Calculate surface area and volume of 3D shapes like cubes, spheres, cylinders, and cones. Find the centroid, circumcircle, or incircle of geometric figures. Compute angles, diagonals, and other geometric properties of polygons.

Sorting & Searching

Customizable sorting based on keys or criteria (e.g., ascending or descending). Support for searching in multidimensional arrays. Sorting and searching algorithms help in organizing and finding data efficiently, which is essential in both small and large-scale applications.

Co-ordinate Geometry

Compute the distance between two points and the midpoint of a line segment. Find the equation of a line (e.g., slope-intercept form, standard form). Identify intersections of lines, circles, or other curves. Handle transformations like translation, rotation, and scaling of points and shapes. Calculate slopes, angles between lines, and orientation of polygons.

Shape Concepts and Patterns

Generate and analyze patterns like Fibonacci sequences, Pascal's triangle, and geometric progressions. Study 2D shapes: properties of polygons, circle arcs, and sectors. Explore 3D concepts: Euler’s formula, vertices, edges, and faces of polyhedra. Generate tessellations and symmetry patterns for artistic or analytical purposes. Build interactive models for spiral patterns, fractals, and tiling algorithms.

Mathematical Operations

Perform symbolic computations like differentiation, integration, and polynomial manipulation. Solve algebraic equations and systems of linear equations. Handle matrix operations such as addition, multiplication, and inversion. Provide tools for statistical calculations, e.g., mean, median, mode, and standard deviation.

Efficient & Easy To Use

Streamlined interface for quick and intuitive operation. Well-documented functions and features with examples. Optimized algorithms ensure fast processing and scalability. Provides a user-friendly experience for both beginners and advanced users in mathematical computations.