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 ...

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 really like to use numerical calculations without all the fancy programming ...

A new study addresses a foundational problem in the theory of driven quantum matter by extending the Středa formula to ...

KANSAS CITY — Beverage manufacturers are debuting functional formulations to provide protein, gut health and energy benefits. Oikos, a Danone North America brand, introduced Oikos Fusion. The beverage ...

Cells manage a wide range of functions in their tiny package — growing, moving, housekeeping, and so on — and most of those functions require energy. But how do cells get this energy in the first ...

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 ...

Proteins are the end products of the decoding process that starts with the information in cellular DNA. As workhorses of the cell, proteins compose structural and motor elements in the cell, and they ...

Abstract: Compared with commonly-used point forecasting, probabilistic forecasting provides quantitative information on the uncertainty associated with wind power output. However, most studies focus ...

Abstract: With the continuous extension of the Industrial Internet, cyber incidents caused by software vulnerabilities have been increasing in recent years. However, software vulnerabilities detection ...

Detours is a software package for monitoring and instrumenting API calls on Windows. Detours has been used by many ISVs and is also used by product teams at Microsoft. Detours is now available under a ...