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  1. why geometric multiplicity is bounded by algebraic multiplicity?

    The geometric multiplicity is the number of linearly independent vectors, and each vector is the solution to one algebraic eigenvector equation, so there must be at least as much algebraic …

  2. 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, …

  3. Proof of geometric series formula - Mathematics Stack Exchange

    Sep 20, 2021 · Proof of geometric series formula Ask Question Asked 4 years, 2 months ago Modified 4 years, 2 months ago

  4. Geometric Mean of a Function - Mathematics Stack Exchange

    Mar 30, 2018 · If the $(\\int_a ^b f(x))/(a-b)$ is the arithmetic average of all the values of $f(x)$ between $a$ and $b$, what is the expression representing the geometric average ...

  5. 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? …

  6. geometry - Using geometric constructions to solve algebraic …

    5 days ago · None of the existing answers mention hard limitations of geometric constructions. Compass-and-straightedge constructions can only construct lengths that can be obtained from …

  7. Arithmetic or Geometric sequence? - Mathematics Stack Exchange

    Nov 1, 2016 · A geometric sequence is one that has a common ratio between its elements. For example, the ratio between the first and the second term in the harmonic sequence is $\frac …

  8. What is the difference between arithmetic and geometrical series?

    Nov 26, 2014 · Geometric and arithmetic are two names that are given to different sequences that follow a rather strict pattern for how one term follows from the one before. An arithmetic …

  9. 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 …

  10. How do I find the common ratio of a geometric sequence?

    Apr 29, 2019 · A geometric sequence has its first term equal to $12$ and its fourth term equal to $-96$. How do I find the common ratio? And find the sum of the first $14$ terms