Differences

This shows you the differences between two versions of the page.

--- math [2025-11-14 Fri 21:08] – add useful equations and int/div tables theorytoe
+++ math [2025-12-14 Sun 02:19] (current) – theorytoe
@@ Line 3: / Line 3: @@
   * [[math:transforms|List of Integral / Space Transforms]]
   * [[math:fourier|Fourier Analysis]]
+  * [[math:units|Units and System Conversions]]
 ====== Useful Equations ======
-^ Eulers Formula    | $$e^{jx}=\cos(x)+j\sin(x)$$ |
+^ Eulers Formula    | $$e^{j\varphi} = \cos(\varphi)+j\sin(\varphi)$$      |
-^ Angular Frequency | $$\omega = 2\pi f$$         |
+^ Eulers Cosine     | $$\cos(x) = \frac{e^{jx}}{2} + \frac{e^{-jx}}{2}$$   |
-^ Period            | $$T = \frac{1}{f}$$         |
+^ Eulers Sine       | $$\sin(x) = \frac{je^{-jx}}{2} - \frac{je^{jx}}{2}$$ |
+^ Angular Frequency | $$\omega = 2\pi f$$                                  |
+^ Period            | $$T = \frac{1}{f}$$                                  |
 ====== Common Integrals ======

kyaruc memex