All Questions
Tagged with applications functions
29
questions
1
vote
1
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103
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Production functions total cost
Production function is: $f(L,M)=L^{1/2}M^{1/2}$. L is the number of units of labour, M of machines used. Cost of labour is 9 per unit, whereas the cost of machine is 81 per unit. Total cost of ...
- 1,141
1
vote
2
answers
56
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How to use the properties of the logarithmic function
I'm coding the game asteroids. I want to make a levels manager who can create a infinity number of level increasing in difficulty.
My levels have as parameters :
The number of asteroids on the board;...
- 1,620
1
vote
2
answers
61
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Is there any way to find out how many intervals greater than x exist in a list of values?
I'm not a professional mathematics, but I have a problem of applied mathematics. Beforehand, I apologize for not using more technical terms. I hope I can be as clear as possible:
Given the following ...
- 179
1
vote
0
answers
14
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Indexing interactions between and withing entities
I'm trying to create/find an index to compare/order systems with multiple entities based on the diversity of the interaction between the entities.
Assume you have few systems of entities that can ...
- 11
0
votes
2
answers
778
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Can any function represent something in the real world?
We know that the volume of a cube can be represented by the function: $V(x)=x^3$, where $x$ is side length. $x^2$ can represent the volume of some material that has a constant side ($1$). The function ...
- 159
0
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2
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1k
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Finding maximum of convex function (appliance of derivatives)
The task goes as following:
Divide the length of $14$ into parts $a$ and $b$, in a way that the sum of surfaces of two squares (which sizes are $a$ and $b$), is minimal.
$14=a+b => b=14-a$ $....(...
- 657
0
votes
1
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266
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An $\Bbb{R}\to\Bbb{R}$ function with two plateaus of different heights and a valley
I am looking for a $\Bbb{R}\to\Bbb{R}$ function $f$ with two plateaus of different heights and a valley.
The function has a minimum for $x=a$ and $f(a)=b$.
The first (the one for smaller $x$) ...
- 1,058
2
votes
2
answers
212
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Function application (word problem)
The problem:
My work so far:
$3=log(\frac{A}{A_0})$--->$10^3=\frac{A}{A_0}$
$\frac{A}{A_0}=1000$
(Am I done there?)
Plugging it in:
$M=log(\frac{1900000}{1000})$
$10^M = \frac{1900000}{1000}$
$M=3....
- 309
1
vote
1
answer
46
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How to write this function?
I do not want the answer given to me, I just want assistance.
Problem: Marcus invests $750 in an account that pays 9.8% interest compounded annually. Write a function that describes the account ...
- 309
0
votes
1
answer
29
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Evaluate a Variable Defined in Terms of its Function
I have a variable x which is defined as follows:
x = 150 / (7 + f(x)) where f(x) = 0.005 * x if x > 200, or 100 otherwise.
This is actually a simplified version of a real world problem.
How do I ...
- 201
1
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2
answers
1k
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What is the simplest $\Bbb{R}\to\Bbb{R}$ function with two peaks and a valley?
What is the simplest $\Bbb{R}\to\Bbb{R}$ function with two peaks and a valley?
I have a set of points in $\Bbb{R^2}$ and I would like to fit a curve to the points, the points approximately lie on a ...
- 1,058
0
votes
3
answers
3k
views
I need a differentiable function whose plot is a plateau and the steepness and width can be varied arbitrarily and easily
I need to model the solar radiation incident on a solar panel. I tried using $$\tanh(b*(x-a))-\tanh(b*x)$$ but it does not give me a lot of flexibility with the characteristics of the curve, namely ...
- 11
2
votes
2
answers
390
views
An injective map where each value is mapped to many others?
I want "something" ("something" because maybe it is not really a mathematical function, called F in the above image) that can describe what is shown on the image. A given value from a domain Xi can be ...
- 1,072
6
votes
2
answers
15k
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What are functions used for?
When I say functions, I don't mean the trigonometric functions like $\sin$, $\cos$, and $\tan$, I mean defined functions like $f(x) = 2x + 4$. Why is $f(x)$ used and why isn't a single variable ...
- 4,287