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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How to mathematically describe lag measured from cross correlation

In MATLAB, this is the function used to measure lag using cross-correlation: [acor,lag] = xcorr(s2,s1); [~,I] = max(abs(acor)); lagDiff = lag(I) timeDiff = lagDiff/Fs where $s1$ and $s2$ are the signals, $acor$ is the cross-correlation coefficent…
Sharah
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Survival Question

table I am little new to this platform, but i think you guys can help me. I have a question that I cannot solve. Here's the problem. You can only carry $25$kg on your backpack. only choose one thing from each set. find the most survival point…
Esra Akbulut
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mathematical modeling and operational research

I have a variable TE which 0=
mahdi
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Mathematical biology Exercise 3. Nondimensionalise the equation so that the dynamics depend on a single dimensionless parameter k = b(a/r)1/2

If the per capita birth rate of a population is given by $r[1 − a(N − b)^2]$ where $r$, $a$, and $b$ are positive parameters, write down a population model equation of the form $\frac{d N}{dt} = f(N)$. Nondimensionalise the equation so that the…
Vân Kami
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Spread of Disease - Simple model

Beginner at modelling here. To generate an equation for the spread of disease, my textbook gave me this: x(t) denotes the number of people who have contracted the disease y(t) denotes the number of people who have not yet been exposed The number…
noodles
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Computing the relationship between heap size and throughput / latency using universal law of scalability

I have been reading on universal law of scalability and found that we can model the relationship between (concurrency vs throughput) and (concurrency vs latency) using the equations derived from universal law of scalability. I want to know whether…
Pasindu Tennage
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Growth Model for Bovines

INTRODUCTION I desire to model the profitability and growth of capital in dairy farm. Dairy farms generate revenue by two main activities: Reproduction Of cattle (Population Growth). Milk Production by the female cows. Profits generated by both…
user579908
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Calculating lattice points with integer coordinates

Given Point $A(-6,-5)$ and Point $B(24,19)$. Calculate the lattice points (include starting and ending points) in the line segment $AB$. How many lattice points between them ? I know the formula from this link How to calculate the number of lattice…
Chirs Lim
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How to determine number of turns needed to fill spool with known length of wire?

I've been scratching my head on this problem for a while, even bounced it off of some friends who are way better at math than myself with no luck, so I'm hoping someone here can help. I'm trying to find a formula to determine the number of turns or…
Sean Hanson
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If the pressure is a function of density only, is the flow always isentropic?

enter image description here Under (TD2) author says that the flow is always isentropic whenever the pressure is a function of density only. But from the First Law of Thermodynamics (TD1) or (TD2), I can derive the fact.. Do I need more knowledge…
이종규
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Show that $z''+F(z') + z=0$ has a unique, stable periodic solution.

The entire question reads: Let $F$ satisfy the hypothesis of Lienard's Theorem. Show that $z'' + F(z') + z = 0$ has a unique, asymptotically stable, periodic solution. We're also given a hint to let $x = z'$ and let $y = -z$. After some thought, I…
obewanjacobi
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How to solve these simultaneous equations:

$1 = 1/2y - bx,$ $1 = 1/2x - ay$ I need x,y it in terms of constants, but I can't figure it out!
Becky
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Good grapher software for modelling

I am modelling DNA and require a software which can graph equations/functions, parametric equations and data sets in 3D. I have tried Microsoft Mathematics, but it is useless when combining more elements together. Also it would be fantastic if there…
Marco Froelich
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What does a negative value for fuel efficiency mean?

I have found an expression that models the fuel efficiency of a truck and the expression is $(7-0.1(x-110)) km/L$. Where $x$ is the speed of the truck. If fuel efficiency, in this case, means the distance travelled in km with the consumption of a…
Son Jerm
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Phase portraits based on eigendirections

Classify the fixed points at the origin and sketch an accurate phase portrait (based on the eigendirections) for each of these systems: $$(i) \frac{dx}{dt}=36x-16y, \frac{dy}{dt}=-3x+28y$$ $$(ii) \frac{dx}{dt}=-31x+y,…
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