Adds adjustment formulas and embeds them in paper

papers/formulas/weighted.py

@@ -0,0 +1,28 @@
+def _weighted(temp, prob, s, u, alpha=1, beta=1):
+    weighted = (temp / 100) * s + ((100 - temp) / 100) * u 
+    return weighted
+
+def _weighted_inverse(temp, prob):
+    iprob = 1 - prob
+    return _weighted(temp, prob, iprob, prob)
+
+# Uses .5 instead of 1-prob
+def _fifty_converge(temp, prob): 
+    return _weighted(temp, prob, .5, prob)
+
+# Curves to the average of the (1-p) and .5
+def _soft_curve(temp, prob):
+    return min(1, _weighted(temp, prob, (1.5-prob)/2, prob))
+
+# Curves to the weighted average of the (1-p) and .5
+def _weighted_soft_curve(temp, prob): 
+    weight = 100
+    gamma  = .5  # convergance value
+    alpha  = 1   # gamma weight
+    beta   = 3   # iprob weight
+    curved = min(1, 
+                 (temp / weight) * 
+                     ((alpha * gamma + beta * (1 - prob)) / 
+                         (alpha + beta)) + 
+                 ((weight - temp) / weight) * prob)
+    return curved