The geometric multiplicity the be the dimension of the eigenspace associated with the eigenvalue $\lambda_i$. For example: $\begin{bmatrix}1&1\\0&1\end{bmatrix}$ has root $1$ with …

A clever solution to find the expected value of a geometric r.v. is those employed in this video lecture of the MITx course "Introduction to Probability: Part 1 - The Fundamentals" (by the …

Aug 3, 2020 · Now lets do it using the geometric method that is repeated multiplication, in this case we start with x goes from 0 to 5 and our sequence goes like this: 1, 2, 2•2=4, 2•2•2=8, …

Sep 20, 2021 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

Apr 17, 2022 · Regrettably, there are two distributions that are called geometric [1], the classical one, taking values in $1,2,\ldots$ and the shifted variant that takes values in $0,1,2,\ldots$.

May 23, 2014 · It might help to think of multiplication of real numbers in a more geometric fashion. $2$ times $3$ is the length of the interval you get starting with an interval of length $3$ and …

May 20, 2017 · The chapters discussing numerical approximations to the geometric BM should greatly help your understanding. $\endgroup$ – Lutz Lehmann Commented May 20, 2017 at 8:08

Dec 11, 2014 · Suppose we have a matrix like $\begin{pmatrix}5&0\\0&5 \end{pmatrix}$ and $\begin{pmatrix}5&1\\0&5 \end{pmatrix}$. Is there any simple way to find the geometric …

Generalized geometric series with long range dependence. 0. Evaluating Sum of Infinite Series. 1.

Mar 14, 2021 · Let $ z $ be a complex number. I want to find the radius of convergence of $$ \sum_{n=0}^{\infty}z^{n} $$. My intuition is that this series converges for $ z\in D\left(0,1\right) …