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  1. statistics - What are differences between Geometric, Logarithmic …

    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, …

  2. why geometric multiplicity is bounded by algebraic multiplicity?

    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 …

  3. terminology - Is it more accurate to use the term Geometric …

    For example, there is a Geometric Progression but no Exponential Progression article on Wikipedia, so perhaps the term Geometric is a bit more accurate, mathematically speaking? …

  4. Alternative proofs of convergence of geometric series

    Jul 2, 2021 · Using one of the comparison tests requires another (presumably more intuitive) series to work with, and they don't get much more intuitive than geometric series by the given …

  5. Calculate expectation of a geometric random variable

    Dec 13, 2013 · 2 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" …

  6. What does the dot product of two vectors represent?

    May 23, 2014 · 21 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 …

  7. statistics - Proof variance of Geometric Distribution - Mathematics ...

    May 26, 2015 · I'm not familiar with the equation input method, so I handwrite the proof. I'm using the variant of geometric distribution the same as @ndrizza. Therefore E [X]=1/p in this case. …

  8. What's the "geometry" in "geometric multiplicity"?

    16 The geometric multiplicity of an eigenvalue is defined as the dimension of the associated eigenspace, i.e. number of linearly independent eigenvectors with that eigenvalue. Here are …

  9. geometric vs arithmetic sequences - Mathematics Stack Exchange

    I am wondering how to quickly find if a sequence is arithmetic or geometric sequence. for example. an = exp(n) a n = e x p (n) is geometric sequence because

  10. linear algebra - Geometric interpretation of $\det (A^T) = \det (A ...

    Aug 9, 2020 · $$\\det(A^T) = \\det(A)$$ Using the geometric definition of the determinant as the area spanned by the columns, could someone give a geometric interpretation of the property?