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Hamlet's Equations: A Mathematical Tragedy

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Popular Questions In Hamlet's Equations: A Mathematical Tragedy

If Hamlet contemplates 'To be or not to be' with a probability of 0.6, and inaction has a probability of 0.4, what is the expected value of Hamlet making a decision (assuming a decision is represented by 1 and inaction by 0)?
Claudius's deceitful nature can be represented as a non-linear function. Which of the following best describes a function that reflects the escalating complexity of his lies?
Imagine the play's events unfolding on a timeline. If Act I covers 20% of the timeline and Act II covers 25%, what percentage of the timeline remains for the rest of the play?
Representing characters' loyalty with values from 0 to 1 (0 being completely disloyal, 1 being completely loyal), if Hamlet's initial loyalty to Claudius is 0.2 and it decreases by 0.1 with each perceived betrayal, after 3 betrayals, what is Hamlet's loyalty level?
The Ghost's appearances can be modeled as a periodic function. If the Ghost appears every 3 scenes in Act I and every 5 scenes in Act II, what is the least common multiple of these appearances?
Assume the emotional intensity of a scene can be quantified. If Act I has an average intensity score of 7 (out of 10) and Act II has an average of 8, what is the combined average emotional intensity across both acts, assuming they have an equal number of scenes?
Let's say each soliloquy carries a 'weight' of philosophical thought. Hamlet has 2 soliloquies in Act I and 3 in Act II. If the average weight per soliloquy is 5 units, what's the total 'weight' of philosophical thought expressed by Hamlet in these acts?
If the probability of Polonius eavesdropping successfully is 0.8 and the probability of him being discovered is 0.2, what is the ratio of successful eavesdropping to being discovered?
Imagine each line in Hamlet is worth 2 'units' of poetic value and that Act I has 500 lines and Act II has 600. Which act possesses a higher total poetic value?
If we define 'tragedy points' such that one death equals 10 points. So far how many tragedy points are there from Act I and II (Assuming the ghost is dead already)?