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- Modular Forms with Python6 min
Modular forms are complex-valued functions with specific symmetry properties. They play a crucial role in number theory, algebraic geometry, and string...
- Noncommutative Rings using Python7 min
Noncommutative rings are algebraic structures where multiplication is not commutative. This course explores their properties, operations, and applications in...
- Orthogonal Vectors in Python8 min
Orthogonal vectors are fundamental concepts in linear algebra and geometry. They are vectors that are perpendicular to each other, forming a right angle. In...
- Principles of Random Walk with Python7 min
A random walk is a mathematical concept that describes a path consisting of a succession of random steps. It's widely used in various fields, including...
- Simpsons Rule in Python13 min
Simpson's Rule is a numerical integration technique used to approximate the definite integral of a function over a given interval. It is based on the...
- Solve Systems of Equations with Python4 min
In this series, we'll explore how to use Python to solve systems of linear and non-linear equations. Solving such systems has numerous applications in...
- Spectral Theory Exploration with Python:6 min
Spectral theory is a branch of mathematics that studies the properties of linear operators and their spectra. It has applications in quantum mechanics...
- Symmetry, Representations, and Invariants in Python8 min
Symmetry is a fundamental concept in mathematics, describing the invariance of an object under certain transformations. It plays a crucial role in various...
- The First Law of Complexodynamics using Python9 min
The First Law of Complexodynamics is a theoretical concept in the field of complex systems and information theory. It posits that the complexity of a system...
- Topics in Banach Space Theory in Python8 min
A Banach space is a complete normed vector space. In simpler terms, it's a vector space with a notion of distance that allows us to talk about convergence of...
- Tropical Algebra for Dynamic Systems in Python8 min
Tropical algebra is a branch of mathematics that operates on the max-plus semiring. It has applications in various fields, including optimization, graph...
- Tropical Matroid Representation Network in Python8 min
Tropical matroid representation networks are a fascinating intersection of tropical geometry, matroid theory, and network analysis. These structures provide...
- Univalent Functions and Teichmüller Spaces using Python10 min
Univalent functions are a fundamental concept in complex analysis, characterized by their one-to-one property. A function f(z) is univalent in a domain D if...