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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
Proof of geometric series formula - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
Calculate expectation of a geometric random variable 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
terminology - Is it more accurate to use the term Geometric Growth or . . . In both geometric and exponential growth we find multiplication by a fixed factor The distinction lies in that 'exponential growth' is typically used to describe continuous time growth (steps of infinitesimal time) whilst geometric growth is used to describe discrete time growth (steps of unit time)
What is a geometric structure? - Mathematics Stack Exchange $\begingroup$ @Buddha As a working geometer my point of view is that the topology (and, for me anyway, the smooth structure) are already fixed and is a prerequisite for a geometric structure but not a geometric structure itself, and geometric structures are data defined on a topological (differentiable) manifold that break topological (smooth
What does the dot product of two vectors represent? 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
Solving for the CDF of the Geometric Probability Distribution Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
differential geometry - What exactly is Geometric Analysis . . . See, for example, all the work on curvature flow (Hamilton et al ) The previous comment alludes also to geometric measure theory, which is very much of a different flavor, concentrating on geometry on singular spaces, which are studied with the tools of distribution theory and currents $\endgroup$ –
Sum of a power series $n x^n$ - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers