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Theory and Modern Applications

Figure 3 | Advances in Difference Equations

Figure 3

From: Calculation of vectorial derivatives for functions of a quaternion variable and their properties

Figure 3

Figures showing what values of the remainder term of \(D\log (p)\) have according to the size of \(x=S_{p}\) and \(y=|V_{p}|\) using Maple 20 performance. It can be seen that as x and y approach 0, the value of the remainder term increases infinitely. (a) Output of Maple 20 ‘Plot3D’ performance of \(\frac{1}{y}\tan ^{-1}\frac{y}{x}\) with \(x = -10\cdots 10\), \(y = 0\cdots 10\). (b) Graph observed perpendicular to the yz plane with \(x = -20\cdots 20\), \(y = 0\cdots 20\)

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