From 5fbda7af797976c32f344854e49ecd298c9769c2 Mon Sep 17 00:00:00 2001
From: Andrew Lorimer <andrew@lorimer.id.au>
Date: Wed, 29 Aug 2018 16:37:45 +1000
Subject: [PATCH] antidifferentiating applications, start kinematics &
 light/matter ref

---
 physics/light-matter-ref.md | 15 +++++++++++++++
 physics/light-matter.md     |  2 +-
 spec/calculus.md            | 18 ++++++++++++++++--
 3 files changed, 32 insertions(+), 3 deletions(-)
 create mode 100644 physics/light-matter-ref.md

diff --git a/physics/light-matter-ref.md b/physics/light-matter-ref.md
new file mode 100644
index 0000000..386c83c
--- /dev/null
+++ b/physics/light-matter-ref.md
@@ -0,0 +1,15 @@
+---
+geometry: margin=2cm
+columns: 2
+graphics: yes
+author: Andrew Lorimer
+---
+
+\pagenumbering{gobble}
+
+# Light and Matter
+
+$$E=hf={hc \over \lambda}$$
+
+$$ 1 \operatorname{eV} = 1.6 \times 10^{-19} \operatorname{J}$$
+
diff --git a/physics/light-matter.md b/physics/light-matter.md
index c14d998..6eed91f 100644
--- a/physics/light-matter.md
+++ b/physics/light-matter.md
@@ -149,7 +149,7 @@ $$\sigma E \sigma t \ge {h \over 4 \pi}$$
 
 where $\sigma n$ is the uncertainty of $n$
 
-**$\sigma E$ and $\sigma t$ are inversely proportional$**
+**$\sigma E$ and $\sigma t$ are inversely proportional**
 
 Therefore, position and velocity cannot simultaneously be known with 100% certainty.
 
diff --git a/spec/calculus.md b/spec/calculus.md
index f68b829..ddd9011 100644
--- a/spec/calculus.md
+++ b/spec/calculus.md
@@ -192,8 +192,8 @@ $\int k f(x) dx = k \int f(x) dx$
 
 | $f(x)$                          | $\int f(x) \cdot dx$         |
 | ------------------------------- | ---------------------------- |
-| $k$ (constant)                  | $kx + c$                     |
-| $x^n$         | ${1 \over {n+1}}x^{n+1} + c$ |
+| $k$ (constant) | $kx + c$ |
+| $x^n$ | ${1 \over {n+1}}x^{n+1} + c$ |
 | $a x^{-n}$ | $a \cdot \log_e x + c$ |
 | $e^{kx}$ | ${1 \over k} e^{kx} + c$ |
 | $e^k$ | $e^kx + c$ |
@@ -213,4 +213,18 @@ $\int k f(x) dx = k \int f(x) dx$
 
 To find stationary points of a function, substitute $x$ value of given point into derivative. Solve for ${dy \over dx}=0$. Integrate to find original function.
 
+## Kinematics
+
+$${dV \over dt} = {\operatorname{change in volume} \over \operatorname{respect to time}}$$
+
+`     |->--diff-->--| |-->--diff-->--|
+displacement    velocity    acceleration
+ |--<-antidiff-<---| |--<-antidiff-<-|`
+
+**displacement $x$** - change in position  
+**velocity $v$** - change in displacement  
+**acceleration $a$** - change in velocity
+
+$$v_{\operatorname{avg}}={\Delta x \over \Delta t}={{x_2 - x_1} \over {t_2 - t_1}}$$
+$$\operatorname{speed}_{\operatorname{avg}}={\Delta v \over \Delta t}$$
 
-- 
2.43.2