Mathematical Expression Hats

Description: A mathematical expression in white text on a black background. The expression shows the square root of 'n' multiplied by 'Xn p', followed by a white arrow pointing right, then 'd N(0 sigma squared)'.

Description: A monochrome abstract mathematical expression presented in white text on a black background. The text reads "||² ≤ ||u||² ||v||²". The expression uses vertical bars, angle brackets, and double vertical bars to denote mathematical concepts.

Description: A black background features a red banner at the top with white text that reads 'THE LIMIT DOES NOT EXIST'. Below the banner, in white text, is a mathematical equation for a limit: 'lim = (1-x)-sin x / 1-cos^2 as x appochs 0'.

Description: A warning sign shaped like a yellow diamond with black text. The top section reads "WELCOME TO ENGINEERING" in white block letters. Inside the diamond, the text reads "WHERE THE NUMBERS ARE IMAGINARY AND SO ARE THE CHICKS" followed by a mathematical expression "(√(-shit))²" in black.

Description: A simple black background with a solid red heart icon at the top. Below the heart, a mathematical integral expression is displayed in white text: the integral from -0 to infinity of 1 divided by x squared plus 1, followed by dx. The expression uses standard mathematical notation.

Description: Phoenix Number Born From Seven: Geometric design rooted in the repeating decimal from 1/7. Abstract, numerical art.