I made a biome farm so i could get a bunch of platinum in some time. So, could i make a farm with Actuated blocks that build a biome? this is on Terraria ...

In Civilization 5, the game states that the AI gets significant bonuses to their play at the higher difficulty levels. I have been unable to find what exa...

I'm dealing with the $3 \times 3$ matrix: $$ \begin{pmatrix} 3 & 4 & 0 \\ -4 & 3 & 0 \\ 0 & 0 & 1 \end{pmatrix}. $$ I have th...

I've been reading into Fubini's theorem (rectangular regions) quite extensively over the last few days, and I've gathered the following: Fo...

Let $f(x) = x^4 - 3$. I believe $Gal(f(x)) = Gal(\mathbb{Q}(\sqrt[4]{3}, i)/\mathbb{Q})$, and then we have $$\sigma_1 = \begin{cases} \sqrt[4]{3} \rightar...

What does inner product actually mean? So far most of the cases that I encounter seems to suggest that dot product is the only useful inner product. I mea...

Q&A for people studying math at any level and professionals in related fields

What is the area of the shared region in the figure above that is bounded by the $x$-axis and the curve with the equation $y=x\sqrt{1-x^2}$? This is the p...

(a) the objects are ordered and repetition is not allowed? (b) the objects are ordered and repetition is allowed? (c) the objects are unordered and repeti...

I am trying to do a approximation plot with Runge Kutta. In matlab, the discrete plot I use is "scatterplot". Unfortunately because of so many data points...