More than a century after Srinivasa Ramanujan scribbled his astonishing formulas for π in notebooks in India and England, physicists are finding that those same equations describe how nature behaves ...

The original version of this story appeared in Quanta Magazine. In 1974, five years before he wrote his Pulitzer Prize–winning book Gödel, Escher, Bach: An Eternal Golden Braid, Douglas Hofstadter was ...

Abstract: For an arbitrary rational matrix (RM), a new descriptor realization of its all-pass factorization is presented. The coefficients of the factors are expressed explicitly in the solution of a ...

Linear graphs are straight-line graphs that visually represent a constant rate of change in the relationship between two variables, showing how one changes in response to the other. They are expressed ...

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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 ...

By following these 8 steps, you’ll be able to tackle rational equations with confidence and successfully solve them. As you practice more rational equation problems, you’ll find that this process ...

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 ...

Abstract: Graph Fourier transform (GFT) is an important tool for analyzing the irregular graph signals collected from various real-world networks. One of its applications is the graph Fourier ...

Odds are fairly likely that you’ve been in a room when someone has asked a content marketer or social media manager to “make a viral video.” Unfortunately, the task isn’t as simple as it seems. Videos ...