It has become somewhat fashionable to have students derive theQuadratic Formulathemselves; this is done by completing the square for the generic quadratic equationax2+bx+c= 0. While I can understand the impulse (showing students how the Formula was invented, and thereby providing a concrete exampl...
To derive the equation of an ellipse centered at the origin, we begin with the foci (−c,0)(−c,0) and (c,0)(c,0). The ellipse is the set of all points (x,y)(x,y) such that the sum of the distances from (x,y)(x,y) to the foci is constant, as s...
DERIVING THE QUADRATIC FORMULA 1124
DEVICE AND METHOD FOR DERIVING ROOT OF QUADRATIC EQUATIONPURPOSE: To obtain a root having a user's desired number of effective digits in a shorter time than before.YOSHIDA KUNIO吉田 邦男
We use the NARMA10 task (given in the Supplementary material). It can be operated with non i.d.d. random inputs, linearly transformed to be in [−1, 1], without having to change the equation that defines the target series. There are two main factors that are to be considered. ...
I focus on the effect of government investment and of several quality-of-institutions variables, such as control of corruption, political stability, and government effectiveness, on private investment. To address this issue, I derive and estimate an Euler equation for investment (EEI) by Dynamic ...
In response to this, the behavioral-level model provides a logical or mathematical equation or set of equations describing the behavior of the component, viewed as a “black box”. Such models may either provide a very complete and accurate description of the performance of the modeled device, ...
based on three values of a coefficient A of a quadratic term, a coefficient B of a linear term, and a constant term C of a quadratic equation in order to derive one of two roots of the quadratic equation, simple addition and subtraction using values stored in these registers, and a simp...
quadratic functional equationHyers-Ulam stabilityfixed point theoryrandom normed spacesThe authors introduce a finite variable quadratic functional equation and derive its solution. Also, authors examine its Hyers-Ulam stability in Random Normed space(RN-space) by means of two different methods....
Quadratic functionAdditive functionQuasi-Banach spacep-Banach spaceIn this paper we establish the general solution of the functional equation f(2x+y)+f(2x-y)=f(x+y)+f(x-y)+2f(2x)-2f(x) and investigate the Hyers–Ulam–Rassias stability of this equation in quasi-Banach spaces.Abbas Naja...