This study presents recursive relations on the permanents of k – tridiagonal Toeplitz matrices which are obtained by the reduction of the matrices to the other matrices whose permanents are easily ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

What if machines could not only learn but also teach themselves to become better with each iteration? This isn’t the plot of a sci-fi movie—it’s the reality unfolding in artificial intelligence ...