This includes basic notions such as sets and functions: Properties of sets, definition and properties of functions; logarithms and exponentials: and their properties; basic series summations: ...

The statistical physics of graphs and partition functions represents a vibrant intersection of graph theory, statistical mechanics and computational complexity. By summing over an ensemble of ...

At the point (or points) where two graphs intersect, the x and y values are the same for both functions. We use this information to find the solution to simultaneous linear equations.

Before reading this guide, it may me helpful to read the following guides from Module 3 (M3), Module 6 (M6) and Module 7 (M7). M3 Coordinates and graphs M3 Factorising quadratic expressions M3 ...

Otto J. Karst, Semi-Complex Functions and Their Graphs, Mathematics Magazine, Vol. 35, No. 5 (Nov., 1962), pp. 282-288 ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Trigonometric functions are often used in embedded systems. Motor drivecontrol applications such as the Park Transform, Clarke Transform, andPWMgeneration use trigonometric functions extensively.

We develop parametric classes of covariance functions on linear networks and their extension to graphs with Euclidean edges, that is, graphs with edges viewed as line segments or more general sets ...

With static graphs and equations, it's possible to get a handle on the rules of what various functions do and mean.