LaTeX Support Test

Verifying LaTeX and mathematical rendering.


This page serves as a test to verify that LaTeX support is properly integrated and styled for our notes. It showcases both inline and block equations.

Inline Equations#

We can now render inline math expressions. For example, Einstein's mass-energy equivalence is represented by E=mc2E = mc^2, and the uncertainty principle is written as ΔxΔp2\Delta x \cdot \Delta p \ge \frac{\hbar}{2}. These equations compile seamlessly within the paragraph flow.

Block Equations#

For more complex mathematical derivations, block equations are centered and isolated:

f(x)=f^(ξ)e2πiξxdξf(x) = \int_{-\infty}^\infty \hat{f}(\xi)\,e^{2 \pi i \xi x}\,\mathrm{d}\xi

Here is the definition of a limit in calculus:

limxcf(x)=L\lim_{x \to c} f(x) = L

And the famous Euler's identity:

eiπ+1=0e^{i\pi} + 1 = 0

Wide Equations and Mobile Responsiveness#

To ensure wide equations don't break our layout on mobile viewports, block equations support horizontal scrolling. Let's verify with an exceptionally wide matrix equation:

A=(a11a12a13a14a15a16a21a22a23a24a25a26a31a32a33a34a35a36a41a42a43a44a45a46)A = \begin{pmatrix} a_{11} & a_{12} & a_{13} & a_{14} & a_{15} & a_{16} \\ a_{21} & a_{22} & a_{23} & a_{24} & a_{25} & a_{26} \\ a_{31} & a_{32} & a_{33} & a_{34} & a_{35} & a_{36} \\ a_{41} & a_{42} & a_{43} & a_{44} & a_{45} & a_{46} \end{pmatrix}