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.
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Mathematical model building with dependent and independent variables
I have been working with data and building models on data. I have developed models in regression using cubic and power series. It works fine for variables with one dependent and one independent ...
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What's the difference between Total Sobol indices and Sobol indices?
In sensitivity analysis, Sobol indices explain the importance of an input factor $X_i$ on the variance of the output $Y$ such that:
\begin{equation}
S_i=\displaystyle \dfrac{V_{X_{x i \sim ...
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59 views
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 ...
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What am I doing wrong? Deriving
I'm doing the same problem as the one on pg. 5 of this link: http://www.math.lsa.umich.edu/~pwn/01~ch1_solutions.pdf
I got the same answer for my equation, although my approach was slightly ...
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Nondimensionalize an equation with logs
I have an equation with logs in it. Specifically the equation takes the form:
$log(Y)=\alpha+\beta_1 X_1 + \beta_2 X_2 + \beta_3 X_3$
Where $X_1$ through $X_3$ are variables. The trouble is that Y ...
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Mathematical modeling- oil spill?
An oil spill has fouled 200 miles of shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine of $$10/day$ will be imposed. The local clean up crew ...
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47 views
How to Prove by definition, the given process is a Markov Process?
Defi ne the process Xt by X0 = 1, and for t = 1, 2, . . .
Xt = { uXt-1, with probability p,
{ vXt-1, with probability 1-p
where 0 < v < 1 ...
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63 views
Linear Programming Inventory Problem
I'm still trying to get used to the nature of these problems and I'd appreciate some further explanation.
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Linear Programming: Three variable graphical solution
A small bank offers three type of loans: housing loans at $8.50$%
interest, education loans at $13.75$% interest rates, and loans to
senior citizens at $12.25$% interest. Further, it needs to ...
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99 views
Financial Linear Programming Problem
I'm very new at linear programming and I'm trying to figure out a way to approach this problem below:
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67 views
How to create models for solving logic puzzle
this is not about getting an answer for this problem, but to create models for solve them, below I will show a simple puzzle in order to demonstrate what I mean:
Lets say two friends just left a bar ...
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Assist me to obtain an equation please?
I have a plot which contain large number of points. I want to find an equation that calculates the percentage of a certain number of these points $(x,y)$, the ones having $x>5$ and $y>80$.
In ...
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72 views
Mathematical model of Quadcopter?
I want to know how to make the mathematical model of Quadcopter? Is there any differential equation for quadcopter? I want to simulate quadcopter as a mathematical model so I want to know how can I ...
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22 views
Discovering $2D$ to $3D$ projection
I have a two dimensional plane with $U, V$ coordinates from $0,0$ to $1.0,1.0$.
The $U$ coordinate is projected to $\mathbb{R}^3$ and primarily contributes to an $X$ coordinate. However, the rate of ...
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33 views
Market uptake and market share modelling
I have been trying to figure out how to model the market uptake and share. I have a model for single product launch into a market and want to make the model able to reflect competition among two or ...
