geometry - Using geometric constructions to solve algebraic problems ...
Dec 10, 2025 · None of the existing answers mention hard limitations of geometric constructions. Compass-and-straightedge constructions can only construct lengths that can be obtained from given …
Proof of geometric series formula - Mathematics Stack Exchange
Sep 20, 2021 · Proof of geometric series formula Ask Question Asked 4 years, 5 months ago Modified 4 years, 5 months ago
statistics - What are differences between Geometric, Logarithmic and ...
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, 2•2•2•2=16, …
Geometric mean with negative numbers - Mathematics Stack Exchange
Apr 3, 2022 · The geometric mean is a useful concept when dealing with positive data. But for negative data, it stops being useful. Even in the cases where it is defined (in the real numbers), it is no longer …
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 $3$ and then …
Good textbook for Geometric Measure Theory for self-study
For me, geometric measure theory is when the focus is on things like density properties, intersection and projection properties, and various measure-theoretic properties of the underlying (outer) measures. …
Calculate expectation of a geometric random variable
Dec 13, 2013 · 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, …
probability - How to get $P (X > x)$ where $X$ is a geometric random ...
To calculate this, you just sum the geometric series with first term $ (1-p)^x p$ and ratio $1-p$, so we have $$ P (X>x) = \frac { (1-p)^x p} {1- (1-p)} = (1-p)^x, $$ as before.
Show that the radii of three inscribed circles are always in a ...
May 25, 2025 · A triangle is inscribed in a circle so that three congruent circles can be inscribed in the triangle and two of the segments. Each circle is the largest circle that can be inscribed in its region.
Newest 'geometric-programming' Questions - Mathematics Stack …
Jan 1, 2024 · For questions related to geometric programming, which considers problems that optimize a polynomial subject to polynomial and monomial constraints.