phyzguy said:I think you are over-thinking this. The function f(x,y) = Cxy has specific values on each of the three boundary surfaces. What are these values? For example, what is the value of Cxy on the plane where y = 0?
Yes.Teachme said:Thanks phyzguy
Wouldn't it just be 0 when y=0?
What about the xy plane? Would it be 0 to infinity?phyzguy said:Yes.
Ah yes I see now, I'm so dumb. Thanks so much! Always helps to talk about a problem.phyzguy said:Re-read the problem. The X-Y plane isn't one of the bounding surfaces.
Boundary values refer to the values or conditions that define the boundaries or limits of a system or experiment. They are important in scientific research as they help to define and understand the behavior of a system within a specific range.
Solving for boundary values allows scientists to accurately model and predict the behavior of a system. This is crucial in understanding the impact of different variables and making informed decisions based on the results.
Boundary values can be determined through experimentation, data analysis, and mathematical modeling. Scientists may also consult previous research or use theoretical frameworks to identify and define boundary values.
Common techniques used to solve for boundary values include numerical methods, such as finite difference or finite element methods, and analytical methods, such as Laplace transforms or Green's functions. These methods allow for the calculation of boundary values within a given system.
Yes, boundary values can change over time as a result of various factors such as environmental changes, system modifications, or the introduction of new variables. It is important for scientists to regularly reassess and update boundary values to ensure the accuracy and relevance of their research.