Abstract: In this paper, we investigate the controllability and observability properties of a family of linear dynamical systems, whose structure is induced by the Laplacian of a grid graph. This ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

All the tech we rely on, from cars to smartphones, was engineered using physics. You don’t need to know the science to use these things. But a well-rounded human should understand at least some of the ...

Excel spreadsheets can often contain large amounts of data ranging across broad categories. For example, a sales spreadsheet might record sales of products across multiple departments, or within ...

Now, when you want to solve a math equation and write it down, the Ink math assistant will jump into action and quickly plot an interactive graph to help you visualize those hard-to-understand math ...

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...

Graphing an equation is an essential skill in mathematics, as it helps us visualize the relationships between variables. There are several techniques that can be employed to make graphing easier and ...

A quadratic graph is any graph which has an \(\text{x}^2\) in its equation. We draw them in a very similar way to straight-line graphs and will need to substitute values into the equation. All ...

When learning algebra, one of the most crucial skills to acquire is understanding how to graph linear equations. It helps you visualize relationships between variables and solve mathematical problems.

"Of all the equations of physics, perhaps the most magical is the Dirac equation." When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. British ...