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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Math Model for Loan with interest

Let Ln be the unpaid balance on a loan with an interest rate, r, per term. A payment of P is made at the end of each year. a) Lo, is original amount borrowed. Construct a loan payment model for the unpaid balance at the end of each year. I was…
AMarie
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modeling a two variable

I've been trying to find an elegant model for a function of two variables $(x,y)$ with the following constraints: $x \geq 0$ $y \leq 0$ $f(x,y) < 0$ when $x < 2$ $f(x,y) < 0$ when $y \leq -2$ $f(x,y) \geq 0$ when $x \geq 2$ and $y > -2$ It seems…
jxstanford
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Infectious modelling S(t) equation

Has somebody please explain for me how to derive 2.6 equation?
user2842390
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How can we convert data points (pattern) into a mathematical model (equation)

I'm trying to figure out a general mathematical model for the following dataset; (Time of Day, No. of Events) (1 , 1442) (2 , 275) (3 , 0) (4 , 419) (5 , 2324) (6 , 5769) (7 , 8481) (8 , 16700) (9 , 18834) (10 , 16101) (11 , 8723) (12 , 6528) (13 ,…
Sohaib Rafique
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Mathematical Modeling Question concerning 2-gender interactions

I was revising for my Math Modelling term paper, and was doing this particular question in a textbook, where I got stuck for a whole day. Here's a snippet: Q1 Reference: Topics in Mathematical Modeling by K.K Tung
Chris
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Where does $x_1/2 - x_2$ come from in German wiki branch and bound?

This is a German wiki article but the math is probably understandable anyways. There is an example of branch and bound and the concept of dominance is shown. It is applied to an example and they come up with $x_1/2 - x_2$ as a term that should show…
IceFire
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Modeling change

can you help me to solve this question? A Killer Virus: You have volunteered for the Peace Corps and have been sent to Rwanda to help in humanitarian aid. You meet with the World Health Organization (WHO) and find out about a new killer virus,…
user5922229
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Transfer function of mathematical model

Im trying to derive a transfer function from by books end of the chapter exercise, but i can in no way match it with the given solution(given by our instructor). I was hoping if you can explain me from where did the red portion of the numerator…
Ochin
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Non-dimensionalization of a system, what to do if we have to divide by zero?

I have some PDE system involving unknowns $u$ and $v$ and $w$ which are concentrations of some substances. I want to nondimensionalize the system, so I divide through $u$ by some number $c_u$, and similarly for $v$ and $w$ with $c_v$ and $c_w$. The…
25Chars
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Upper and lower bound of a function

here is the question : find upper and lower bound of the function $$f(x)=cos(\frac{1}{x})$$ Domain of function is all Real numbers except {1} . I tried to solve it by finding the limits of $f(x)$ as $x$ approaches both from negative and positive.…
Sorbon Rahimov
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Composite sinusoidal functions

Let' say you have a graph as such: !(http://blogs.scientificamerican.com/roots-of-unity/files/2014/12/sinxsin2x.jpg) ! (Black one) And you know that it's function is in the general form of cosx+sinx Is there a way to find about what the exact…
city7lights
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Distribute individuals to relevant mentors as evenly as possible

I'm working on a site that needs a matching feature, but I'm wondering if there's a mathematical model that already tackles what I'm trying to do. Users belong to Mentors, but they can choose their Mentor. Out of all Mentors, only a handful will be…
Kaleidoscope
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Mathematical Modeling

If the number of possible routes is less than 4, probability (a) will be used. All the routes will be considered and the travel time for each route will be calculated. However, if there are more or equal than 4 routes, probability (b) will be used…
Mira Nazeha
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Trying to model an equation for this problem:

A drug is administered once every four hours. Let Dt be the amount the drug in blood system at t-th interval. The body eliminates a certain fraction p of the drug during each time interval. If the amount administered is Do find Dt and limit…
Deepak
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How to re-write the following equation?

I am a molecular biologist and reading a book on mathematical modeling. In this book I encountered the following algebraic conversion and could not figure out how the conversion is performed. Please let me know the steps in such kind of conversions…
Mazhar Hussain
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