One more note: If one adds\usepackage[T1]{fontenc}, then it does compile withlualatex, but I thought this package is superfluous / not necessary when usinglualatex? (https://tex.stackexchange.com/questions/412757/) davidcarlisle commentedon Feb 10, 2025 ...
Certainly, the H3 Math questions have a Math Olympiad style to them. Here are some practice questions for H3 Math (more will be added in the future), with some hints. Questions are adapted from actual H3 prelim papers. Functions Q1) The function $latex f$ is such that $latex f(x+2)...
Hilbert Space: The most common example is the space of square-integrable functions, denoted as ( L^2 ). Another example is the Euclidean space ( \mathbb{R}^n ) with the standard dot product. Banach Space: Examples include ( L^p ) spaces for ( 1 \leq p < \infty ) (where ( L^2...
\odot \ominus \oplus \oslash \otimes \oint \oldstyle \omega \Omega \omicron \operatorname \over \overbrace \overleftarrow \overrightarrow \overleftrightarrow \overline \overparen \overset \overwithdelims \owns P \parallel \partial \perp \phantom \phi \Phi \pi \Pi \pitchfork \pm \pma...
One last little coup for now… notice next to the wordGeodeticsit has a little red and gray dot with an arrow over the top? Yeah, click that. The gray and red locations magically flip. Now all of your altitude and elevations will be positive. The calculations areFROMredTOgray. Since re...
Chinese sound means: On the mountain (3) top (.) there is one (1) temple (4) with a (1) bottle (5) of wine (9) Note : Below is the 22 decimal memory chant: 山顶一寺一壶酒,尔乐, 我三壶把酒吃,酒杀尔,杀不死,乐而乐。
Abstract Algebra concept “Vector Space” with inner (aka dot) product is introduced into High School (Baccalaureate) Elementary Math – a fancy name in “AFFINE GEOMETRY” (仿射几何 , see Video 31). eg. Let vectors Translation: Stretching by a factor (“scalar”):Distance (x,y) from ...
Compositionality: Category theory emphasizes composing functions/morphisms, which aligns with functional programming paradigms. 2.Database Design Relational Databases: The “Relational Algebra” used in SQL can be modeled using categorical constructions (e.g., products, coproducts, and limits). ...