mathematical | Convert mathematical equations to SVGs , PNGs , or MathML | Math library

I have a mathematical expression given as a String and I have to extract all the variables which are identified as a letter, possibly followed by a number (e.g x or x0). It works for simple expressions but if I try it with a more complicated equation I pick also numbers which I don't want since my goal is to determinate if the two equations use the same variables.

I have a CSS-type cubic bezier where
A = 0,0
B = a, b where 0<1
C = p, q where 0

<1
D = 1, 1

I want a function pointOnBezier(a,b,p,q,x) => {x:x, y:y}
I've found this which helps but no mathematical formula😓
https://upload.wikimedia.org/wikipedia/commons/d/db/B%C3%A9zier_3_big.gif
Any help would be appreciated. Thanks in advance!!!

I would like to include the mathematical sign for a multiplication (like the lower-case x) in a plot title.

I have tried using latex2exp to no avail - can someone help me with this?

The reprex code is this:

I have two dataframes, one looks like this

Problem:

I'm looking for a catch-all function that I can use to calculate the tangent of any polynomial function at x. I'm indifferent to the language used although JavaScript or Python would be prefered! I should be able to pass in any x value and an array of coefficients in the format, a + bx + cx^2 + dx^3 ... and so on.

Example function format:

I am implementing a words/2 predicate in which a list of characters can be rendered to a list of the character as a word inside a list. I use the mathematical symbol <=> to denote that they're working in any mode. Please advise if there's a better expression.

The example:

I need to compute tf.Variable gradients in a class method, but use those gradients to update the variables at a later time, in a different method. I can do this when not using the @tf.function decorator, but I get the TypeError: An op outside of the function building code is being passed a "Graph" tensor error when using @tf.function. I've searched for understanding on this error and how to resolve it, but have come up short.

Just FYI if you're curious, I want to do this because I have variables that are in numerous different equations. Rather than trying to create a single equation that relates all the variables, it is easier (less computationally costly) to keep them separate, compute the gradients at a moment in time for each of those equations, and then incrementally apply the updates. I recognize that these two approaches are not mathematically identical.

Here is my code (a minimal example), followed by the results and error message. Note that when gradients are computed and used to update variables in a single method, .iterate(), there is no error.

I need to declare an array of variables to be used later, but without initializing any of the variables inside, is it possible?. I need this to make a function use easier as i have to perform some mathematical operations on the vector varlist, which is the input of another function. Can anybody help?

I have a mathematical problem: these five strings are IDs for the same object. Due to these differences, objects appear multiple times in my Access table/query. Although there are a lot of these mutations, but I take this as an example.

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