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- Matrix and vector multiplication examples
Examples demonstrating how to multiply matrices and vectors. - Maximization and minimization
How to calculate the maxima and minima of a differentiable function. - Solutions to minimization and maximization problems
Solutions to sample problems illustrating minimization and maximization. - Minimization and maximization problems
Sample problems illustrating minimization and maximization. - Minimization and maximization refresher
How to calculate the maxima and minima of a differentiable function. - Model of an infectious disease without immunity
- A Möbius strip is not orientable
Explanation why a Möbius strip cannot be oriented by choosing a normal vector to point to one side. - Examples of n-dimensional vectors
Examples showing the practical use of vectors in more than three dimensions. - Definition: Network definition
A network is a set of objects (called vertices or nodes) that are connected together. - Definition: Edge definition
An edge of a network is one of the connections between the nodes (or vertices) of the network. - Definition: Hub definition
In the context of a network, a hub is a node with a large degree, meaning it has connections with many other nodes. - An introduction to networks
An overview of a network as a collection of connected elements. Different types of networks are illustrated as well as a way to represent them mathematically. - Definition: Link definition
An link of a network is one of the connections between the nodes (or vertices) of the network. - Definition: Mean path length definition
In a network, the mean path length is the average shortest path between two nodes. - Definition: Node definition
A node of a network is one of the objects that are connected together. - An introduction to neural coding and decoding
- Newton's Method
A method to approximate the roots to an equation. - Definition: Node degree definition
The degree of a node is the number of edges connected to the node. - Non-differentiable functions must have discontinuous partial derivatives
A visual tour demonstrating discontinuous partial derivatives of a non-differentiable function, as required by the differentiability theorem. - Definition: Normal vector definition
A normal vector is a vector perpendicular to another object, such as a surface or plane.
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