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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Mathematical modeling of bacteria decay

If our mathematical model for the decay of a bacteria colony is: $100\left (\frac {1} {2} \right) ^ {n-1}$ =Number of Bacteria n is the number of the elapsed hours starting with 100 bacteria in a Petri dish, Such that $ n\geq 1$ Then according to…
Ashraf Benmebarek
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Is python suitable for MCM/ICM? (Mathematical Contest In Modeling and Interdisciplinary Contest In Modeling)

I’m preparing for MCM/ICM 2019 and many resources show that Matlab is the best programming language for mathematical modeling competition. But I don’t think I have enough time to learn it from the very beginning. Fortunately I have been familiar…
user600822
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boolean algebra Simplify solucion de la funcion

Simplify the following expressions (Simplificar lo siguiente): $$f= A'B'CD+A'BC'D+A'BCD'+AB'C'D+AB'CD'+ABC'D'$$ $$f=B'D(A'C+AC')+A'B(C'D+CD')+AD'(B'C+BC')$$
Wilson Antony Mamani Machaca
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How to arrive at a formula from logical conditions?

I'm making a mobile app that needs to acquire the users location as accurately as possible. Doing so isn't as straightforward as one might think, but comes down to making a few tradeoffs. Particularly, one must ultimately face the potential conflict…
Magnus
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Generation of peaks with EMG

I need to build a function like this with the following parameters: A - peak area h - peak height w - peak width in the middle b/a - asymmetry factor I have a function described in the file, and I'm trying to use it to get the peak with the…
qwertiyp3
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Mathematical Modelling Lake volume of water/pollution problem

A lake contains 200,000m^3$ of water, 7% of which is chemical pollution. Every day 2000m^3$ of polluted water flows out of the lake. (a) Suppose that every day $2000m^3$ of clean water flows into the lake. If $P_n$ denotes the volume of pollutant in…
Sam Heslop
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Find the mathematical relationship between the x value and the y value.

I have this data: --> x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]'; --> y = [1.031, 0.813, 0.795, 0.795, 0.795, 0.795, 0.795, 0.795, 0.795, 0.795]'; That generates this curve: I need to calculate the formula that generates that graphic. How can I…
VansFannel
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Modelling Traffic Congestion

I noticed that on a road, if the number of cars reaching a certain critical stage, all the cars would slow down immediately. Is there any theory/model that connects the number of cars $N$ with the average car speed $V$, and maybe with road width $R$…
Graviton
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emptying problem

Recently I was working on a problem related to the emptying of a tank. There are numerous examples that actually solves the problem. However the problem I was working with had a time dependent lateral opening area. How can you model such a problem…
Suman Razz
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Examples of bounded function from $\mathbb{R}$ to $(a,b)$?

What are some examples of functions taking values from $(-\infty, \infty)$ to an open interval $(a,b)$? I'm trying to write a single index model that possesses this property, and the most popular example I can think of is…
userrandom
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State-space model for health indicators

I am developing a discrete health indicator model with $n$ multiple observations. The methodology is as follows: Every hour, my patients insert a subjective perception of various health indicators (tiredness, hunger, anxiety...) ranging from 0 to…
David Seelmann
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Equation of motion of a spring (Applied mathematics)

I'm having a bit of trouble with this problem. Mostly trying to label sufficient variables for the system. A body moves in a straight line on a smooth horizontal table. The body is attacked to one end of a spring of length $l_0$ and modulus of…
Patrick Moloney
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Spring problem (Applied mathematics)

Difficult Exam paper question that I can't seem to grasp. I'm finding it hard to visualise the problem and understand what is actually going on. A particle of mass $m$ moves in a straight line on a smooth horizontal table, and is connected to two…
Patrick Moloney
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How to denote the aggregation of values into a vector?

How do I denote that I am aggregating values into a vector? For example, I have a set of values $F$ in which a function $fun$ will be applied. Finally, a vector is build with the results. For example, if $F = \{a,b\}$ and $fun(a) = 1, fun(b) = 2$,…
f.leno
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Reduce a range of values

I am using this weighted sum from the question How to build a function that gives recent years higher weight? To reduce the value I tried square root of $X,$ then tried the $8$th root, $\sqrt{\sqrt{\sqrt{X}}}$ which is $X^{\frac{1}{8}}$ and get…
tnaser
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