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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asymmetrical sine wave

How do you model a sine wave that begins to shift over asymmetrically (like a ocean swell approaching a beach)? Is sine even the right function for this model, or is some other type of function better?
thecat
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Problem with ratios, dimensionless quantities

I've been trying to understand how a ratio of two of the same units gives a dimensionless quantity. It makes no sense to me. For example, density in terms of mass and volume: $$d = \frac{m}{V}$$ That I can interpret from the definition of division…
ProblemFinder
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Finding tangent to curve fitting sampled data.

Let $(x_i, y_i)$ be a finite sample of points. I want to find the slope of the tangent at $x$ to a curve "best fit" to the given data. In my problem area, (see context below), the simplest of techniques is to perform an $L^2$ minimization to find…
muaddib
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What is a convex model?

I know what is a convex function. Wikipedia says: In mathematics, a real-valued function f(x) defined on an interval is called convex (or convex downward or concave upward) if the line segment between any two points on the graph of the function…
living being
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How do I calculate the instantaneous angular speed of a spindle given a spooled radius and required feed speed?

In an attempt to model the cassette tape spooling action, I'm hoping to solve this problem. Required feed speed 5cm/second. Two Spindles with starting radius of S1: 0.8cm (empty spool) S2: 1.8cm (full spool) The spooled tape thickness is unknown…
Azeworai
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Swimming Problem - How can I do this?

I have a problem with the following diagram. The triangle is just a possible path and may not be the shortest. If the boy has to get to the destination in the fastest way possible: What methods/models can I use to find out the shortest time? (Which…
LucasCK
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Could the word "continuum" be applied to theposition of the hands of an analog clock?

The word "continuum", in term of measurement, is defined as: models explain variation as involving gradual quantitative transitions without abrupt changes or discontinuities. In contrast, categorical theories or models explain variation using…
SdSdsdsd
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Finding a value that makes an expression negative

Background: I am working on the mathematical modeling of infectious diseases, namely HIV and TB. In the process of proving global asymptotic stability of the Disease-Free Equilibrium, I must construct a Lyapunov function. To that end, I have…
user85362
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Carbon dioxide molecule model

A simple model of the carbon dioxide molecule can be modeled by a system of three masses and two springs. The oxygen atoms have mass M and carbon has mass m. The springs (bonds) have spring constant $k$. The corresponding mathematical model…
Don Larynx
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In math, what is a chessboard + pieces?

What mathematical concept would a chessboard + pieces be? Is there any matrix where the squares are kinda related, in the same way that for example a rock relates to all the column/row, where it is.
Quora Feans
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Underdamped Oscillations of spring-mass system

At what time has the amplitude of oscillation of a spring-mass system with negligible friction decayed to 1/e of its original value? Does this time depend in a reasonable way on k, m, and c?
user125090
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Operational research: group $n$ items in $x$ groups according to measure/constraints

I am searching for a consolidated model to group n items in x groups. Do you know how to find on the web some resources on the above subject? In my idea it can be something like: I have 4 persons and 2 groups of 2 persons each. The "friendship"…
Mauro
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What is the possible equation for this problem?

I am a programmer, I am in a situation that requires a mathematical equation. I just hope to know the final equation that solves the problem (step by step solution is not necessary). Of course I will not use any programming jargon in describing the…
Saleh Feek
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Leads on pendulum mathematical model

I'm working in the modeling of a interactive pendulum with the following characteristics; the user can apply forces at any time to move the pendulum its rest pose or to accelerate it when it is already in motion the pendulum can not reach an angle…
Juan Camilo Acosta Arango
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proliferation rate and carrying capacity in logistic growth

I have mathematical modelling as an elective course. Recently I was studying an article here at https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1201589/pdf/pnas-0504053102. I was taught that logistic growth model looks like this:…
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