Mar 25, 2026 · Ah thank you very much! So the borel functional calculus is also not really necessary here, but rather gives a different proof... But interesting fun fact: The characterization i mentioned (for …

Apr 3, 2026 · I saw a fifth-degree polynomial in a series. After solving it, I noticed that the solutions in the complex number plane lie on a regular hexagon. To be precise, the solutions of the polynomial: $$ ...

Mar 23, 2026 · The colored lines drawn represent what I imagine the area of each segment to be: Imagine the area bound by a golden spiral. This area is divided into segments where each segment …

Mar 21, 2026 · I am trying to find the largest root of the sextic polynomial $$ p(x) := \\left( x^2 - a \\right) \\left( \\left( x^2 -b -1 \\right) \\left( x^2 - a - 1 \\right ...

Jan 25, 2026 · Here is a method which works from first principles using the dilogarithm. We note that \begin {align} \int_0^1\int_0^1\frac {\mathrm dx \mathrm dy} {1-xy}=\int_0^1 ...

Dec 5, 2023 · Expanding on Henning's comment, even "ln" is ambiguous in the wider community because it's interpreted as short for "logarithm" versus the esoteric "logarithmus naturalis" (in which …

Aug 7, 2018 · Q&A for people studying math at any level and professionals in related fields

Please see the image below. What does the bar symbol mean in this context?

Mar 14, 2014 · What does the $\\Rightarrow$ arrow mean when showing working out in maths? How do we use it appropriately?

Nov 18, 2016 · How would I find the area of a non-iscoceles trapezoid and without the height? The trapezoid's bases are $30$ and $40$, and the legs $14$ and $16$. Thanks