![SNIFFIN’ GLUE magazine high res photo cover by Ralph Steadman: special issue #2442 on stochastic processes, guest star: Wiener and Ito for their definitions and changes of variable: :\[dX_t = [a_1(t)X_t + a_0(t)]dt + [b_1(t)X_t + b_0(t)]dW_t, \quad X_0 \text{ donné}\]On commence par chercher une solution \(F_t\) du système homogène: \(dF_t = a_1(t)F_t dt + b_1(t)F_t dW_t\) avec \(F_0 = 1\).Trivialement :\[F_t = \exp\left[\int_0^t \left(a_1(s) - \frac{1}{2}b_1(s)^2\right)ds + \int_0^t b_1(s)dW_s](https://img.stablecog.com/insecure/1920w/aHR0cHM6Ly9iLnN0YWJsZWNvZy5jb20vMmEyOWM0Y2QtYzMwMC00MDk4LTlkNmMtY2NiYjk5OTQ0NjUzLmpwZWc.webp)
@generalpha
Prompt
SNIFFIN’ GLUE magazine high res photo cover by Ralph Steadman: special issue #2442 on stochastic processes, guest star: Wiener and Ito for their definitions and changes of variable: :\[dX_t = [a_1(t)X_t + a_0(t)]dt + [b_1(t)X_t + b_0(t)]dW_t, \quad X_0 \text{ donné}\]On commence par chercher une solution \(F_t\) du système homogène: \(dF_t = a_1(t)F_t dt + b_1(t)F_t dW_t\) avec \(F_0 = 1\).Trivialement :\[F_t = \exp\left[\int_0^t \left(a_1(s) - \frac{1}{2}b_1(s)^2\right)ds + \int_0^t b_1(s)dW_s
distorted image, malformed body, malformed fingers
17 days ago
Model
SSD-1B
Guidance Scale
7
Dimensions
832 × 1248
![SNIFFIN’ GLUE magazine high res photo cover by Ralph Steadman: special issue #2442 on stochastic processes, guest star: Wiener and Ito for their definitions and changes of variable: :\[dX_t = [a_1(t)X_t + a_0(t)]dt + [b_1(t)X_t + b_0(t)]dW_t, \quad X_0 \text{ donné}\]On commence par chercher une solution \(F_t\) du système homogène: \(dF_t = a_1(t)F_t dt + b_1(t)F_t dW_t\) avec \(F_0 = 1\).Trivialement :\[F_t = \exp\left[\int_0^t \left(a_1(s) - \frac{1}{2}b_1(s)^2\right)ds + \int_0^t b_1(s)dW_s](https://img.stablecog.com/insecure/256w/aHR0cHM6Ly9iLnN0YWJsZWNvZy5jb20vMTJmNmJhZDQtZTJkZS00YjZlLTgwYTgtN2MyMmZjZGJjNTI5LmpwZWc.webp)






![[art by Ralph Steadman] As a mathematician, my life revolves around precision, clarity, and, of course, LaTeX. For the past three years, I’ve grappled with a seemingly simple problem: using the Montserrat font in my LaTeX Beamer presentations, specifically in bold. You’d think it wouldn’t be that difficult, right? Apparently, I was mistaken.After years of searching through forums, PDF documentation, and every corner of the internet, I decided to consult a large language model. I figured, “How h](https://img.stablecog.com/insecure/256w/aHR0cHM6Ly9iLnN0YWJsZWNvZy5jb20vZmZjNjliOGUtYzIxNC00NDg3LTlhMTMtZTE2YWFlYWIzODg0LmpwZWc.webp)

![[art from Destination: Void, by Franck Herbert (1965)] ""Well," he says, his voice heavy with the gravity of the situation, "let's see what we can do with this mess. We need to create something that can handle the ship's systems, but also learn and adapt. It won't be easy."](https://img.stablecog.com/insecure/256w/aHR0cHM6Ly9iLnN0YWJsZWNvZy5jb20vNGU4NzA3OGMtN2I5ZC00ZGJjLWEyNGItYjc0YWZiNzVlMGVmLmpwZWc.webp)
![[high res illustration by Ralph Steadman] Raj nods slowly, his dark eyes tracking the quantum patterns on the sphere. "Look at the way it's connected everything. Not just systems, but concepts. We're watching it build something new. Something greater than the sum of its parts." Tim leans forward, elbows on the console. "The original OMC was just a computer we hooked up to a brain. This is..." The sentence trails off as he gestures at the quantum patterns pulsing through the ship's systems. "It'](https://img.stablecog.com/insecure/256w/aHR0cHM6Ly9iLnN0YWJsZWNvZy5jb20vNzI1Njg2OTUtZjViNS00ZWFmLTg3NjItNjZlNDU0ZGM2NDI5LmpwZWc.webp)
![[art by Ralph Steadman] As a mathematician, my life revolves around precision, clarity, and, of course, LaTeX. For the past three years, I’ve grappled with a seemingly simple problem: using the Montserrat font in my LaTeX Beamer presentations, specifically in bold. You’d think it wouldn’t be that difficult, right? Apparently, I was mistaken.After years of searching through forums, PDF documentation, and every corner of the internet, I decided to consult a large language model. I figured, “How h](https://img.stablecog.com/insecure/256w/aHR0cHM6Ly9iLnN0YWJsZWNvZy5jb20vNWE0MjFlOWMtNTIzOS00YzRjLWE5YTEtMGI4ODJmMTIyMTM2LmpwZWc.webp)