I would like to delve into writing in a more scientific way to define my problems. My though is that it will help me see more similarities between problems faster.
Question Hence, I would like to know how to write "a combination of" in a theoretical computer science way or mathematical way?
Idea:
- Let say we have a software component (library, microservice, engine etc.) that is able to generate an output (scalar values, vectors, picture etc.). Combining two components may result in another component that incorporates a series of components, which are connected. For simplicity, we don't focus on the connections.
- Example:
Lets make it simple: I have a component c_1 that is a microservice that calculates a function f(x) with input vector v=(x,y). The second component c_2 that calculates a distance d(v1, v2), with v1 and v2 being vectors of the from v=(x,y). Now, we stretch it a bit further and say we have more components c_3, c_4 etc. doing something different.
I would write "a combination of" in a more general view in such a way:
Let be C a software component with an input I and output O, where I = {all well defined inputs} and O = {all well defined outputs}. Thus, an component C(I) = O_I. A component C can be divided into sub-components C_sub, where each sub-component is either a single component C or a combination of sub-components. This is symbolized as C(I) = C_sub(I) = O_I, with C = C_sub or C(I) = C_sub1 AND C_sub2 AND C_sub3 AND ... AND C_sub3 = O_(I).
or could I write + instead of AND?
A component C can be divided into sub-components C_sub, where each sub-component is either a single component C or a combination of sub-components. This is symbolized as C(I) = C_sub(I) = O_I, with C = C_sub or C(I) = C_sub1 + C_sub2 + C_sub3 +... + C_sub3 = O_(I).
What are your suggestions and maybe sources and books you can recommend?
