The notation u_{x_1, .., x_n} represents the n-th partial derivative of a function u with respect to variables x_1 through x_n. Specifically, it is defined as u_{xx} = \frac{\partial^{2}u}{\partial x^{2}} and similarly for u_{yy}. The general form of this notation is u_{x_1, .., x_n} \equiv \frac{\partial^n u}{\partial x_n \ldots \partial x_1}, which is crucial for understanding higher-order derivatives in multivariable calculus.
PREREQUISITESStudents and professionals in mathematics, physics, and engineering who are working with multivariable functions and need to understand advanced derivative notation.
duckywitbigfeet said:ok i am pretty good with the topic but i need help with this notation i actually have never seen it before i was wondering if anyone could put in a way that i might have seen it..
the problem is uxx+uyy = 0