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Writing an engineering thesis, I'm sometimes wondering how detailed the used equations should be explained. The section below (equations and italic parts) shows a simplified quote from the main section of my paper as an example.

While, mathematically, this should all make sense (I hope), it is an engineering thesis and I am not sure the reader will understand what I'm talking about. Do I need to deliver an in-depth explanation of how this is done, or do correct mathematical definitions suffice? What do you think? Here is the example:

(A complex model was discretized to allow for modeling on a computer simulation.) ...

Equation I is solved for $x(t)$:

$$ x(t)=x(t+1) \cdot c$$

Using the above equation, values for x at previous time-slots can be determined by iterating over a time-period n, which can be expressed as

$$ x(t)=f^{n}(x(t+n))$$

The value at time-slot $t_{0}$, e.g., is obtained by applying the conditions $$x(t_{0}+t_{h})=x_{\alpha},~~t_{0}\leq t < t_{0}+t_{h}$$

In the following sections, I will use this equation regularly, e.g.,

It is, analog to the the value above, determined by iterating through the period backward. The following conditions are applied to the model:

$$x(t_{\delta}) = x_{\beta},~~ t_{\gamma} ∧ t_{\delta} ∈ Z,~~t_{\gamma} ≤ t < t_{\delta}$$

and the value $x(t_{\gamma})$ expressed as $$x(t_{\gamma})= f^{t_{\delta}-t_{\gamma}}(x(t_{\delta}))$$

P.S. is "iterative modeling" the correct contemporary term for what I'm doing here?

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closed as unclear what you're asking by Xander Henderson, dantopa, NCh, Thomas Shelby, Parcly Taxel Feb 28 at 2:40

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    $\begingroup$ That sounds like something you should discuss with your advisor or other people who will review your thesis. They are the ones you want to impress! $\endgroup$ – user247327 Feb 27 at 16:15
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    $\begingroup$ All such questions regarding your thesis should be directed to your advisor. $\endgroup$ – Wojowu Feb 27 at 16:16
  • $\begingroup$ I am aware. Yet, my academic advisor's contract ended and the project was discontinued, which is why I do not have one anymore. The thesis is registered nonetheless and will be graded by a professor of the institute. $\endgroup$ – cheesus Feb 27 at 16:46

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