Added convolution and shockley diode equation

Author: kevinlinxc

README.md

@@ -69,6 +69,6 @@ Then, repeat everything after step 5.
 ## Top contributors
 (This could eventually be a nicely presented leaderboard on the site.)
 
-kevinlinxc: 34 formulas
+kevinlinxc: 36 formulas
 
 

content/formulas/convolution/index.md

@@ -0,0 +1,20 @@
+---
+title: Convolution
+description: "Formula for the convolution of two functions."
+summary: "Formula for the convolution of two functions."
+tags: ["math",  "integration", "calculus"]
+date: 2023-01-18
+latex: (f*g)(t)=\int_{-\infty}^{\infty} f(\tau)g(t-\tau)d\tau
+---
+
+The formula for the convolution of two functions \\(\small f\\) and \\(\small g\\) is:
+
+{{< katex >}}
+$$ (f*g)(t)=\int_{-\infty}^{\infty} f(\tau)g(t-\tau)d\tau$$
+
+Where
+* \\(\tau\\) is a dummy variable that is used in the integral only.
+
+## Sources
+- [Wikipedia](https://en.wikipedia.org/wiki/Convolution)
+- [Wolfram Mathworld](https://mathworld.wolfram.com/Convolution.html)

content/formulas/shockley-diode-model/index.md

@@ -0,0 +1,28 @@
+---
+title: Shockley Diode Model
+description: "The Shockley diode model is a simplified model of a diode's Voltage-Current relationship."
+summary: "The Shockley diode model is a simplified model of a diode's Voltage-Current relationship."
+tags: ["electronics", "electrical engineering"]
+date: 2023-01-18
+latex: I = I_S \cdot (e^{\frac{V_D}{nV_T}} - 1)
+---
+
+The Shockley diode equation is an approximation that relates the diode's current to its voltage.
+
+{{< katex >}}
+$$ I = I_S \cdot (e^{\frac{V_D}{nV_T}} - 1)$$
+
+Where
+* \\(\small I\\) is the current through the diode
+* \\(\small I_S\\) is the diode's saturation current
+* \\(\small V_D\\) is the diode's voltage
+* \\(\small n\\) is the diode's ideality factor, usually between 1 and 2
+* \\(\small V_T\\) is the thermal voltage, which is equal to \\(\small kT/q\\) where \\(\small k\\) is Boltzmann's constant, \\(\small T\\) is the temperature in Kelvin, and \\(\small q\\) is the electron charge.
+
+When \\(\small V_D\\) is large relative to \\(\small nV_T\\), the equation can be approximated as:
+
+$$ I \approx I_S \cdot e^{\frac{V_D}{nV_T}} $$
+
+## Sources
+- [Wikipedia](https://en.wikipedia.org/wiki/Diode_modelling#Shockley_diode_model)
+- [Wikiwand](https://www.wikiwand.com/en/Shockley_diode_equation)