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 \(a \textgreater 0 \) ...

ABSTRACT: Nitrogen rate trials are often performed to determine the economically optimum N application rate. For this purpose, the yield is modeled as a function of the N application. The regression ...

Abstract: In a companion paper [14], we developed a systematic Lyapunov approach to the regional stability and performance analysis of saturated systems via quadratic Lyapunov functions. The ...

First we need to complete the square to get the coordinates of the turning point. \(y = {x^2} + 2x + 3\) \(y = {(x + 1)^2} - 1 + 3\) \(y = {(x + 1)^2} + 2\) Therefore ...

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 ...

Abstract: Calculation of maximum loading condition boundaries is an essential task for voltage stability margin evaluation. The current tendency is connected with the continuation method for maximum ...

This is a preview. Log in through your library . Abstract The zeta function Ϛ(A, s) associated with a narrow ideal class A for a real quadratic field can be decomposed into ΣQ ZQ(s), where ZQ(S) is a ...