- 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
- 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?
- 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 multiplicity
- How do I find the common ratio of a geometric sequence?
Since the sequence is geometric with ratio r r, a2 = ra1,a3 = ra2 = r2a1, a 2 = r a 1, a 3 = r a 2 = r 2 a 1, and so on With this fact, you can conclude a relation between a4 a 4 and a1 a 1 in terms of those two and r r
- Proof of geometric series formula - Mathematics Stack Exchange
So for, the above formula, how did they get (n + 1) (n + 1) a for the geometric progression when r = 1 r = 1 I also am confused where the negative a comes from in the following sequence of steps
- 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 2 times 3 3 is the length of the interval you get starting with an interval of length 3 3 and then stretching the line by a factor of 2 2 For dot product, in addition to this stretching idea, you need another geometric idea, namely projection
- calculus - formula for infinite sum of a geometric series with . . .
formula for infinite sum of a geometric series with increasing term Ask Question Asked 10 years, 10 months ago Modified 10 years, 10 months ago
- differential geometry - What exactly is Geometric Analysis . . .
This question is worth a long answer, but one major distinction from the start is that differential geometry requires a smooth structure, which is often weakened only to piecewise smoothness Geometric analysts often study spaces which may be formalized in terms of only continuity or measurability, both much weaker notions than differentiability
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