Find ln(0.2) accurate to 0.001
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Find ln(0.2) accurate to 0.001

I want to find ln(0.2) accurate to 0.001. I get ln(1+(-0.8)) to solve the question. When I find the remainder I get the below one. So I should find n for ...

Published: Aug 17, 2026

Finding prime factors by taking the square root
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Finding prime factors by taking the square root

I'm trying to solve the third Project Euler problem and I'd like a little help understanding a mathematical concept underlying my tentative solu...

Published: Aug 17, 2026

Derivative of $(5x-2)^3$
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Derivative of $(5x-2)^3$

How is the derivative of $(5x-2)^3$ equal to $15(5x-2)^2$ and not $3(5x-2)^2$. According to $\frac{df}{dx} = nx^{n-1}$, it has to be $3(5x-2)^2$ right. Pl...

Published: Aug 17, 2026

Arrival probability of Merged Poisson Process [closed]
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Arrival probability of Merged Poisson Process [closed]

If we have two Poisson process $A$ and $B$ with arrival rate $\lambda_{1}$ and $\lambda_{2}$. Now I have question for calculating the probability of an ar...

Published: Aug 17, 2026

Questions tagged [recurrence-relations]
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Questions tagged [recurrence-relations]

Q&A for people studying math at any level and professionals in related fields

Published: Aug 17, 2026

Probability of three events occurring given correlation?
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Probability of three events occurring given correlation?

I am facing a problem that I cannot find the answer to. I have three variables, A, B and C. There are only two possibilities for each of these, A either h...

Published: Aug 17, 2026

Find a function from values
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Find a function from values

Is there any way to find a function, even just similar, from a set of values? I get these pairs of values from two sensors and would like to find a simple...

Published: Aug 17, 2026

Laplacian in Polar Coordinates: $\nabla^2f(r)=f''(r)+\frac{2}{r}f'(r)$
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Laplacian in Polar Coordinates: $\nabla^2f(r)=f''(r)+\frac{2}{r}f'(r)$

$\vec{R}=x \hat{i} + y\hat{j} + z\hat{k}$ and $r=|\vec{R}|=\sqrt{x^2+y^2+z^2}$ Prove that $\nabla^2f(r)=f''(r)+\frac{2}{r}f'(r)$ So we need...

Published: Aug 17, 2026

How to find the matrix of a linear transformation with respect to two bases?
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How to find the matrix of a linear transformation with respect to two bases?

I'm having some trouble understanding the process of actually finding what $[T]_\beta ^\gamma$ is, given $2$ bases $\beta$ and $\gamma$. Here's ...

Published: Aug 17, 2026

Geometric interpretation of the cofactor expansion theorem
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Geometric interpretation of the cofactor expansion theorem

I find the geometric interpretation of determinants to be really intuitive - they are the "area" created by the column vectors of the matrix. Could someon...

Published: Aug 17, 2026

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