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I have a 3-dimensional embedded time series. How can I find the points/coordinates (x, y, z) where the 3d matrix of the time series intersects an arbitrary hyperplane. The problem is I don't have an equation for my embedded time series. Do I either find the closest points to the hyperplane and project them onto my hyperplane or do I find where one point crosses onto the other side to another point and then find the equation of that line and plug in my z-value to find the (x, y) coords? My plot looks like this:

Here's my current code for replicability:

I am new to react and using spoonacular api to fetch recipe using an end point. Here's an example of the data.

Doing an assignment for class and I need the user to enter a value between 1 and 500 and if the user enters an incorrect value more than three times then the program should close. I'm also having issues making the program loop if the user needs to try again

Here's what I have so far.

I am using the Python package ripser for persistence homology. I would like to leverage this to aide in segmenting 2D point clouds.

As an example, I am following Elizabeth Munch: Python Tutorial on Topological Data Analysis. Here, I take the DoubleAnnulus and increase the separation between the two:

A complex JSON file looks like below.

I am getting the following error when making a get request:

I'm learning Spring Boot and trying to write a simple app for storing recipes. Here's the code:

I am working on a Recipe App, i am able to parse the json data but am stuck on how to implement a section of each Recipe:

recipe.json

Attached is the sample section of a Recipe:

I am using InputDecoration to put a hint text in Flutter App. But when I run the app, the text overflown which is not I want as it does not help the user to do it.