# Questions tagged [mathematical-modeling]

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modelling.

1,530 questions
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### Hankel singular values of Discrete time system and its inverse.

An $n$ dimensional discrete-time system $\Sigma$ is describe by the ewuations $$x^{+}=Ax+Bu, \quad y=Cx+Du$$ and has the property that $D$ is invertib;e. Its inverse system $\Sigma^{-1}$ is ...
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### Connectionism and AGI

Marvin Minsky and Papert prove that the XOR function($\newcommand{\xor}{\oplus} x \oplus y$) cannot be implemented by a single layer perceptron and ended connectionism research for some time. My ...
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### Modeling distributed densities or is it?

Lets say that I am counting pixels over time. Each pixel is either the color red or blue. Let's say that I make up some threshold for the number of red pixels that I count and that when I reach this ...
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### I need to get mathematical model for such matrices

I have a question similar to another question I've asked here, but it's with more parameters. The question is, need to find the mathematical model for the relationship between number of columns and ...
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### First-order logic from computational linguistics - implication

I am reading Natural Language Understanding by James Allen. It has the following sentence That John is rich implies that he is happy. And first-order logic ...
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### What's the mathematical model for this matrix.

I need to find the mathematical model for the relationship between number of columns and all possible number of combinations when including two elements, one is not repeating and the other repeats ...
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### dct modelling of a scalar field

I have been reading this paper on MRI and I could not understand the following model: The displacement field (i.e. d) is modelled as a linear combination of basis warps i.e.,  \mathbf d=[\mathbf ...
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### Social Force Model for Pedestrian Dynamics by Euler Method

The social force model is a model using newtonian forces to describe the movement of individuals. As seens here : page 1 Each individual feel the following forces : ->a driving force towards the ...