Discussion Overview
The discussion revolves around the search for an online application that can plot the function f(z) in the complex plane in real-time as the user interacts with it. The focus is on the visualization of complex functions, particularly in relation to the Riemann zeta function and its zeros.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
Main Points Raised
- One participant expresses a need for an app that can plot f(z) instantaneously as the user moves the mouse in the complex plane, highlighting a potential application in visualizing the zeros of the Riemann zeta function.
- Another participant mentions using Desmos but is uncertain about its capability to handle complex values, suggesting an alternative tool found online.
- A later reply points out that the graph of a complex function requires four dimensions (two for input and two for output), indicating a challenge in finding suitable applications.
- One participant clarifies their need for a 2D space where clicking on the plane would plot f(z) immediately, emphasizing the desire for continuous curves if the function is analytic.
Areas of Agreement / Disagreement
Participants do not reach a consensus on a specific application that meets the requirements outlined. There are differing views on the dimensionality needed for plotting complex functions and the capabilities of suggested tools.
Contextual Notes
There are limitations regarding the assumptions about the dimensionality of complex function graphs and the specific functionalities of the suggested applications, which remain unresolved.