A. A. Ungar has developed the concept of gyrovector space. His theory provides a (gyro)vector approach to hyperbolic geometry. Ungar deeply studied three examples of gyrovector spaces; they ... [Read more...]

Let \(\iota_0\) be the inversion with respect to the unit circle: \[ \iota_0(z) = \frac{1}{\bar{z}}, \quad z \neq 0. \] Consider a generalized circle \(\mathcal{G}\mathcal{C}... [Read more...]

You are a R user and you have to evaluate the integral \[ \int_{-5}^4\int_{-5}^{3-x}\int_{-10}^{6-x-y} f(x,y,z) \,\mathrm{d}z\,\mathrm{d}y\,\mathrm{d}x \] for a certain function \(f\). How? ... [Read more...]