The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...

Functions are one of the most fundamental concepts in mathematics, forming the foundation for topics in algebra, calculus and many other areas. A solid understanding of the basics of functions, ...

In this assignment we will explore how to flatten a surface embedded (or even just immersed) in $\mathbb{R}^3$ to the flat plane (i.e. $\mathbb{R}^2$). This process is often referred to as ...

Google is celebrating the start of the 2025-26 school year with a quadratic equation-themed Doodle. The formula is used in ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I ...

The graphs of \(y = 2x + 1\) and \(y = 2x - 2\) are shown below. The graph of \(y = 2x + 1\) crosses the \(y\)-axis at (0, 1). The graph of \(y = 2x - 2\) crosses the ...

Abstract: Anomaly detection is a fundamental task in hyperspectral image (HSI) processing. However, most existing methods rely on pixel feature vectors and overlook the relational structure ...

Abstract: In power industries and academia, piecewise linearization methods are widely used in optimal power flow (OPF) problems to approximate the nonlinear objective functions. Better computational ...

As an ex-barista and a current coffee writer, I've admittedly become a bit of a coffee snob. I like my coffee to taste delicious in my cup and my machine to look stunning sitting on the counter. With ...

Graph theory has long provided the basis for the computational modelling of urban flows and networks and, thus, for the study of urban form. The development of graph-convolutional neural networks ...

Some of the most noticeable changes in the evolution of the genus Homo (which includes ourselves and our extinct close relatives) have been in the dentition and the jaws which support them. In general ...