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Sampling from a Linear System of Random Ordinary Differential Equations Using Scipy

Random differential equations result when some combination of parameters in the rate equations or the initial (or boundary) conditions are random variables. Combining the world of differential equa...

Expressing the Agnesian Equation of Order One of the Lorenz System Using SymPy

This post shows how to use SymPy to express the Agnesian of order one $\mathcal{A}_t^1$ of a system of ordinary differential equations. See Seilis 2022 for a description of the Agnesian operator. B...

SymPy Supports Compound Distributions

Compound distributions allow us to compose probability distributions together. In other words, it allows us to have parameters in our model that are themselves random variables. This facilities inc...

SymPy Supports Compound Distributions

Compound distributions allow us to compose probability distributions together. In other words, it allows us to have parameters in our model that are themselves random variables. This facilities inc...

Paul Grogan's DES Example and Its Implementation in Ciw

I watched a YouTube video over a year ago that showed an implementation of a specific discrete event simulation. Here is the video: I typed out the implementation in that video, and added some d...

A Ciw Implementation of SimPy's Movie Renege Example

This post provides an implementation of SimPy’s Movie Renege example. In this implementation I subclassed three times. One class is TicketArrivalNode which replaces the ordinary ciw.ArrivalNode in ...

A Rust Implementation of a Simple Car DES

This post gives an implementation of this example from the SimPy documentation: import simpy def car(env): while True: print('Start parking at %d' % env.now) parking_duration ...

A Poem of Causality

A black distortion on a yellow puff, I reached a hand out to grasp it. Curiosity defeated by an insectile sting, I cried aloud in consequence. But why? What made it so? Perhaps together is the...

A Generalization of the d'Alembert Operator

According to one of my old notebooks, I came up with a generalization of the d’Alembert operator between 2022-03-27 and 2022-05-20. I can’t say that it was well-motivated by a particular mathematic...

A Quick Reference to Some Common Orders

Introduction This post is just dumping a short list of notions of order from my MSc thesis days. Broad Classes of Orders There are four common classes of orders. Non-Strict Partial Order Refl...