I'm having trouble getting my head around the meaning of the stochastic Ito integral. Specifically: the intuitive meaning of "Stochastic Integral" to...

I'm having trouble with differentials. I've been trying to learn about them online using great resources like PatrickJMT but I'm having tro...

Let $X$ and $Y$ be independent, normally distributed random variables. How is $|X| + |Y|$ distributed? Is it known to be $|Z|$, where $Z$ is distributed n...

What are some applications of abstract algebra in computer science an undergraduate could begin exploring after a first course? Gallian's text goes i...

We know that when we take the square root of a negative real number, it's realness "splits open" and an "imaginary" dimension is introduced (characte...

I'm describing a column wise operation in a paper, but I'm unsure about what is the correct notation. $c[i] = \text{max}(C[:, i])$ The equation ...

How would you connect each black box once to each colored box without any lines overlapping, this is racking my brain so please help. Note that you can mo...

My approach : $$T(r) = \binom{n}{r-1}(3x)^{n-r+1} (-2)^{r-1}$$ here $T(r)$ is the $r$th term of the binomial expansion of $(3x-2)^{21}$. $$T(r) = \binom{n...

Given the three line segments below, of lengths a, b and 1, respectively: construct the following length using a compass and ruler: $$\frac{1}{\sqrt{b+\sq...

$$W = \int_{x_i}^{x_f} F_x dx + \int_{y_i}^{y_f} F_y dy \int_{z_i}^{z_f} F_z dz$$ same as saying $$E = m\int_{0}^{x_f} a_x dx + m\int_{0}^{y_f} a_y dy + m...