We define theta functions attached to indefinite quadratic forms over real number fields and prove that these theta functions are Hilbert modular forms by regarding them as specializations of ...

The Mathematics Teacher (MT), an official journal of the National Council of Teachers of Mathematics, is devoted to improving mathematics instruction from grade 8-14 and supporting teacher education ...

A univariate quadratic function has the form f(x) = ax^2 + bx + c, where a, b and c are constants, and a is non-zero. The roots of a quadratic function can be found by finding values of x that satisfy ...

This applet will help you in visualizing the effects of transformations on functions. Move the sliders on the right to change the translation and scaling factors ...

Abstract: We introduce a new class of quadratic functions based on a hierarchy of linear time-varying (LTV) dynamical systems. These quadratic functions in the higher order space can be also seen as a ...

Abstract: This paper presents an implicit model for piecewise affine functions as the interconnection of a linear function and ramp nonlinearities. We show how to verify positive-definiteness of ...