If \(A\) is a \(3\times 3\) matrix then we can apply a linear transformation to each rgb vector via matrix multiplication, where \([r,g,b]\) are the original values ...

The importance of similarity transformations and their applications to partial differential equations is discussed. The theory has been presented in a simple manner so that it would be beneficial at ...

This is an archived article and the information in the article may be outdated. Please look at the time stamp on the story to see when it was last updated. Let’s face it: Math can be a polarizing ...

We present Bäcklund transformations for the non-commutative anti-self-dual Yang-Mills equation where the gauge group is G = GL(2), and use it to generate a series of exact solutions from a simple seed ...

Most famous equation: Einstein's E = mc2, which means energy is equal to mass times the speed of light squared. Known digits of pi: More than 105 trillion digits Digits of pi NASA uses for equations: ...