Often neither the exact density nor the exact cumulative distribution function (c.d.f.) of a statistic of interest is available in the statistics and econometrics literature (e.g., the maximum ...

In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty identities for the Rogers–Ramanujan functions. We observe that the function that appears in ...

Google's Doodle illustrates how the equation can be applied to real-life scenarios across various fields, including physics, ...

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 ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...