Mathematics Stack Exchange
Mathematics Stack Exchange

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.

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. Mathematical models are used not only in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (e.g. computer science, artificial intelligence), but also in the social sciences (such as economics, psychology, sociology and political science); physicists, engineers, statisticians, operations research analysts and economists use mathematical models most extensively. A model may help to explain a system and to study the effects of different components, and to make predictions about behaviour.

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simplifying equations from model

I'm using the community land model (CLM) to do some university work and I'm trying to understand some of the equations that go into the model, one example is: $$ \kappa{z}\frac{\partial{U}}{\partial{z}} = \left( 1 - 16\zeta\right)^{-1/4} $$ where…
Emma
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Is all acclimatization modeled by Newton’s Law of Cooling?

I have in mind things like language learning (native or foreign), and growth to adulthood. Is acclimatization the same thing as saturation? Can the logistic function be regarded as simply an upside-down version of Newton’s Law of Cooling? Regards,
Mike Jones
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Modeling gravity field with finite elements

Well, my question is rather from applied maths area, not pure mathematics, so I am not sure that it's a place on this board for one. I want to solve a direct gravity gradiometry problem on 3D triangular mesh in the $[-1,1]^3$ cube. Let the area…
Alexander Mihailov
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Modeling social distance on a walk

I’ve been thinking about this on my walks for the last year: I’m walking down the sidewalk and someone is coming towards me in the opposite direction. I step of the sidewalk to make sure that we maintain 6' of separation at all times. How would I…
Donald Hosek
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Transitivity rule to deal with decisions in complex systems - is it valid to deal with non linearity?

I am reading a book about rational decision making [1] There is an example of transitivity rule: If you prefer fish to burgers and burgers to pudding, you should also prefer fish to pudding. However, we do not always adhere to this principle, as…
user305883
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Question about SIS model

Modify the following SIS model S´= -bSI + aI I´ = bSI - aI to the situation in which there are two competing strains of the same disease, generating two infective classes I1 , I2 under the assumption that coinfections are not possible. Does the…
Brenda
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What method or subject deals with the following?

Can you point me to areas and methods that deals with modeling output from input data? Say we think our output depends on certain parameters, and say we have samples of this output versus time and samples of the parameters versus time, but we don't…
Anonymous
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What's the difference between growth rate of single entity of a population vs growth rate of entire population?

Let's assume I have a logistic model modelling the population of humans. $$dP/dt = r*P(k-P)$$ What's the difference between the growth rate of a single human and the growth rate of the entire population? I assumed when the question mentioned single…
Arneev
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Symmtery of a function

Find the symmetry in the mean function $\mu$ as a function of $x$, where $$y=\mu(x) = \frac{\exp(\beta_0+\beta_1x)}{1+\exp(\beta_0+\beta_1x)}$$ My approach is to change $x$ to $-x$ but how do I find symmetry?
Proababilty
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Mathematical Modelling for Textual definition

If x in Z {x, y, e} is identified as same/identical with any element fn in F{f1,f2, f4...fn} or un of an E{u1,u2,...un}, then the y in Z and e in Z will be having influence relationship with identical fn in F or un in E. I want a nice representation…
ALee
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How to find distance provided only change in speed and change on time?

At the initial speed a lap is completed in 2 hours and 40 mins. If the speed is increased by 1km/hr that time is reduced by 6 mins. How many kilometers long is the lap? I've been stuck on this question for hours and have gotten no where. I broke the…
Matthew S.
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Curve fitting an asymmetric S-shaped curve with initially slow then rapid growth.

I'm trying to fit a function that describes the following data, ideally with as few parameters as possible: The data has the following properties: X and Y go from 0 to 1 It is an S-Shape growth function. The inflection point is not necessarily at…
yrom1
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Mathematical model: Comprehension

I am a non-mathematical student, tasked to create a predictive model from a large available dataset, specifically for dynamic and complex (multitasking, chaotic) real-world environments. I will then validate the model with an existing dataset, and…
MHidalgo
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Determine the values of a,b,c, and d, so that the following function is a cubic spline

Determine the values of a,b,c, and d, so that the following function s(x) is a cubic spline satisfying $s''(3)=0$. $s(x)= \Big\{^{x^3-4x^2+7 x \in [-1,1]}_{ax^3+bx^2+cx+d x \in [1,3]}$ To use the Natural/simple boundary conditions I know that it…
Killercamin
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Proportionality for A-Level Maths

During the decay of a radioactive substance, the rate at which mass is lost is proportional to the mass present at the instant. Use $m$ for the mass of the substance in grams and $t$ for the time in seconds. Initially there is 24 g of the substance…
user634745
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