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- Proof of geometric series formula - Mathematics Stack Exchange
Proof of geometric series formula Ask Question Asked 4 years, 2 months ago Modified 4 years, 2 months ago
- statistics - What are differences between Geometric, Logarithmic and . . .
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•2•2•2=16, 2•2•2•2•2=32 The conflicts have made me more confused about the concept of a dfference between Geometric and exponential growth
- 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 algebraic multiplicity $2$, but the geometric multiplicity $1$ My Question : Why is the geometric multiplicity always bounded by algebraic multiplicity? Thanks
- terminology - Is it more accurate to use the term Geometric Growth or . . .
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? Why are there two terms for this type of growth? Perhaps exponential growth is more popular in common parlance, and geometric in mathematical circles?
- What does the dot product of two vectors represent?
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 $3$ and then stretching the line by a factor of $2$ For dot product, in addition to this stretching idea, you need another geometric idea, namely projection
- Geometric Mean of a Function - Mathematics Stack Exchange
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
- Calculate expectation of a geometric random variable
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" (by the way, an extremely enjoyable course) and based on (a) the memoryless property of the geometric r v and (b) the total expectation theorem
- Series expansion: $\\frac{1}{(1-x)^n}$ - Mathematics Stack Exchange
What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$ Is there some general formula?
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