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.
It’s well known that the geometric mean of a set of positive numbers is less sensitive to outliers than the arithmetic mean. It’s easy to see this by example, but is there a deeper theoretical reas...
3 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.
linear algebra - Geometric interpretation of $\det (A^T) = \det (A ...
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.
Proof of geometric series formula Ask Question Asked 4 years, 7 months ago Modified 4 years, 7 months ago
- does the proof above make sure that $a_n$ is not arithmetic? a sequence cannot be arithmetic and geometric at the same time, right? 2) what about more complex expressions? like $b_n=ln (n)$? how do I quickly see if it is arithmetic or geometric sequence?