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Let $(G, \cdot)$ be a group, $(H, +)$ be an Abelian group, and $f:G\rightarrow H$ be a function. In this paper, for a positive integer n, we first give a representation of nth-order Cauchy difference of f via the function as $$ C^{(n)}f(x_{1},x_{2},\ldot
y=x^2If you don't include an equals sign, it will assume you mean "=0"It has not been well tested, so have fun with it, but don't trust it.If it gives you problems, let me know.Note: it may take a few seconds to finish, because it has to do lots of calculations.If...
To solve an equation in mathematics, you must first find its solutions, which are the values (numbers, functions, sets, and so on) that satisfy the condition stated in the equation, which is usually made up of two expressions linked by an equals sign. One or more variables are designated...
Answer and Explanation:1 From the definition above, we can say that an equation is a function if: $$\begin{align} \text{For one x value, there corresponds one y... Learn more about this topic: Function in Math | Definition, Types & ...
Show that the curve with parametric equation x = t cos t, y = t sin t, and z = t lies on the curve z^2 = x^2 + y^2. Sketch the curve. Consider the parametric curve: x equals 10 cos theta, y equals 7 sin theta, wher...
1. What is a differential equation where Y equals X? A differential equation is a mathematical equation that relates a function with its derivatives. In this specific case, Y is the dependent variable, while X is the independent variable. The equation expresses the relationship between Y and X...
Thus, it is known that PI/PID control based on DDE is a two-degree freedom structure containing a feedforward and feedback controller, which is shown in Fig. 2 [16], bfbf is the feedforward controller and bf=klbf=kl (PI) or bf=kh1lbf=kh1l (PID). Gc(s)Gc(s) is the feedback...
If z is regarded as a function of x and y, then dz/dx equals: a) z/x b)-y/z c) z/y Find partial(z)/partial(x) and partial(z)/partial(y) if z is defined implicitly as a function of x and y by the equation x...