Mathematical Rebus III

Question

Mathematical Rebus I

Mathematical Rebus II

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Small note on the first image:

I wish romans had a number for 0.

Hint 1 for the squares image:

It is mostly an arithmetic problem.

Hint 2 for the squares image:

Color and relative position matter.

Hint 3 for the squares image (alternative image that should help a little bit):

Hint 4 for the squares image:

This is a Mathematical Rebus, so what about changing the squares by numbers? Which? It's your work to discover.

Answer 1

The first expression

is 0 when a=0 and increases by 1 each time a increases by 0.001. So it's floor(1000a) which, given all the Roman numerals, I should probably write as $\lfloor Ma\rfloor$.

The yellow square

is about 0.61 times the size of the white one. Perhaps this is hinting at the golden ratio (often written $\varphi$ or $\tau$) but there might be some further thing I'm missing.

The fraction at the end

is probably "voltage, in volts, over resistance, in ohms", yielding "current, in amps" or $I_A$.

So perhaps we are looking at

$\lfloor Ma\rfloor\varphi I_A$ or the Mafia. Eek! (The Mafia would fit quite well with the two earlier answers of PIZZA and SECRET, of course.)

[EDITED to add:] OP indicates that I don't have the intended interpretation of the yellow square, so here is another possibility:

In WYSIWYG equation editors, you often see something very much like this (though much smaller) to indicate a subscript. E.g., this is what the relevant menu item in Word's equation editor looks like: and this is what you get when you move your cursor into the subscript: . In that case, this could indicate SUB, making our final answer MASUBIA, the name of a group of people in central Africa.

and another:

if, as above, it's denoting a subscript, perhaps we should replace it with something that commonly appears in subscript position. The most obvious things would be $i,j,k$ but none of those makes a word -- but $n$ yields MANIA, which seems at least kind possible.

I confess that neither seems terribly likely.

Answer 2

Building on Gareth McCaughan's answer

The first part yields Ma as Gareth explained.
The second part, the squares... the small square is just a variation of the first square. The differences are the size and the color. So this can be a "thematic" difference between the 2 squares.
The third part yields A (again as Gareth says).

Put them together and you get

Mathematica

Answer 3

Since this remains unsolved, I proceed to answer the question.

Most of it had been solved, so I only put together the already given answers and add the missing clue.

First clue, by Gareth:

is 0 when a=0 and increases by 1 each time a increases by 0.001. So it's floor(1000a) which, given all the Roman numerals, I should probably write as $\lfloor Ma\rfloor$.

Second clue:

The trick is using the colors. White is #FFFFFF and yellow #FFFF00. It was intended to be FFFFFF module FFFF00, or $FFFFFF_{FFFF00}=FFFFFF \mod FFFF00 \equiv FF$

Third clue, also by Gareth:

is probably "voltage, in volts, over resistance, in ohms", yielding "current, in amps" or $I_A$.

All together, the answer is:

Maffia, as actually Gareth already got.