We consider the problem of classifying all positive-definite integer-valued quadratic forms that represent all positive odd integers. Kaplansky considered this problem for ternary forms, giving a list ...

The quadratic formula for a quadratic equation in the form of \(ax^2 + bx + c = 0\) is: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\). The first solution is \(\frac{(-6 ...

Quadratic equations Solving simple quadratic equations Solving quadratics by factorising when a ≠ 1 - Higher Solving by completing the square - Higher Solving by quadratic formula - Higher Here are ...

THESE are Nos. 3, 4, and 5 of the Cambridge Tracts in Mathematics and Mathematical Physics, which are intended to help students by providing them with brief and readable introductions to mathematical ...

This paper is concerned with 1-D quadratic semilinear Schrödinger equations. We study local well posedness in classical Sobolev space H s of the associated initial value problem and periodic boundary ...

THIS number of the Cambridge Tracts deals with a clear and definite problem, the simplest case of which may be stated as follows. Let a, b, c be given functions of the independent variables, x, y, and ...

CBSE Mind Map for Class 10 Maths Chapter 4: CBSE Class 10 students can now revise their maths Chapter ‘Quadratic Equations’ in only a few seconds with the help of mind map presented in this article of ...