diff --git a/Code/TransitionDerivatives.ipynb b/Code/TransitionDerivatives.ipynb
index f260869..cd19f56 100644
--- a/Code/TransitionDerivatives.ipynb
+++ b/Code/TransitionDerivatives.ipynb
@@ -3,7 +3,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "recorded-albany",
+   "id": "innovative-filename",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -14,7 +14,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "senior-characterization",
+   "id": "filled-question",
    "metadata": {},
    "outputs": [
     {
@@ -40,7 +40,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "sublime-trance",
+   "id": "middle-lease",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -50,7 +50,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "double-climb",
+   "id": "regular-grounds",
    "metadata": {
     "tags": []
    },
@@ -62,7 +62,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "blind-reunion",
+   "id": "satisfied-hawaiian",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -75,14 +75,14 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "worldwide-winning",
+   "id": "saved-corporation",
    "metadata": {},
    "outputs": [],
    "source": [
     "def survival(stock, debris):\n",
     "    #Gompertz distribution for simplicity\n",
     "    #commonly used with saturation\n",
-    "    #TODO: ACTUALLY DERIVE A SURVIVAL FUNCTION. THIS IS JUST A PLACEHOLDER\n",
+    "    #TODO: ACTUALLY DERIVE A SURVIVAL FUNCTION. THIS IS JUST A PLACEHOLDER. PROBABLY SHOULD BE AN EXPONENTIAL DISTRIBUTION\n",
     "    eta = 1.0/(scaling@stock)\n",
     "    b = 1/debris\n",
     "    \n",
@@ -101,7 +101,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "naughty-transport",
+   "id": "nominated-visitor",
    "metadata": {},
    "outputs": [
     {
@@ -122,7 +122,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "large-trigger",
+   "id": "clean-panama",
    "metadata": {},
    "outputs": [
     {
@@ -153,7 +153,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "prime-projector",
+   "id": "cardiovascular-music",
    "metadata": {},
    "outputs": [
     {
@@ -179,7 +179,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "urban-decision",
+   "id": "funky-illness",
    "metadata": {},
    "outputs": [
     {
@@ -202,7 +202,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "congressional-kelly",
+   "id": "charged-dairy",
    "metadata": {},
    "outputs": [
     {
@@ -240,7 +240,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "identified-insertion",
+   "id": "marked-flower",
    "metadata": {},
    "source": [
     "## Next step: Construct the intertemporal-transition function(s)\n",
@@ -252,10 +252,317 @@
     "I am planning on doing the latter, as each version is needed."
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "outdoor-action",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#setup\n",
+    "beta = torch.tensor([0.95])\n",
+    "util_weights = torch.tensor([1.0,1.0,0,0,0])\n",
+    "sigma = 0.5"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "unavailable-hawaii",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#This is not a good specification of the profit function, but it will work for now.\n",
+    "def util(x):\n",
+    "    return (util_weights@x)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "id": "composite-cooperative",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor(2., grad_fn=<DotBackward>)"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "util(stocks)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "id": "activated-advancement",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "w = torch.zeros(5)\n",
+    "w[0]=1"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "id": "wireless-concord",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def single_transition(w, g, util, stocks, debris, launch, beta):\n",
+    "    #TODO: change launch from a direct tensor, to a function.\n",
+    "    bA = beta * jacobian(g, (stocks,debris,launch))[0][0]\n",
+    "    return  bA.inverse() @ (w - jacobian(util,stocks))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "id": "detected-cooking",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor([ 0.0372, -1.2487,  0.0372,  0.0372,  0.0164])"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "single_transition(w,g,util,stocks,debris,launch,beta)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "id": "sharp-pound",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#need to create recursive transitions\n",
+    "def recurse_transitions(w, g, util, stocks, debris, launch, beta, iterations):\n",
+    "    #This is of type two from the discussion above\n",
+    "    if iterations <= 1:\n",
+    "        return single_transition(w, g, util, stocks, debris, launch, beta)\n",
+    "    else: \n",
+    "        #Get recursive results\n",
+    "        curse = recurse_transitions(w,g,util,stocks,debris,launch,beta,iterations-1)\n",
+    "        \n",
+    "        #Get updated stocks and debris\n",
+    "        stocks_iterated,debris_iterated = g(stocks, debris, launch)        \n",
+    "        \n",
+    "        #Return the updated values\n",
+    "        return single_transition(curse, g, util, stocks_iterated, debris_iterated, launch, beta)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "id": "radical-reason",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor([ 0.0372, -1.2487,  0.0372,  0.0372,  0.0164])"
+      ]
+     },
+     "execution_count": 19,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "recurse_transitions(w, g, util, stocks, debris, launch, beta, 1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "intelligent-angle",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor([-0.4740, -1.0278, -0.0434, -0.0434, -0.0575])"
+      ]
+     },
+     "execution_count": 20,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "recurse_transitions(w, g, util, stocks, debris, launch, beta, 2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "id": "jewish-lemon",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor([-0.7046, -0.9430, -0.0884, -0.0884, -0.1102])"
+      ]
+     },
+     "execution_count": 21,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "recurse_transitions(w, g, util, stocks, debris, launch, beta, 3)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "id": "scenic-literature",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#TODO: manually check single_transition\n",
+    "stocks_1,debris_1 = g(stocks, debris, launch) \n",
+    "stocks_2,debris_2 = g(stocks_1, debris_1, launch)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "id": "moving-slave",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor([ 0.0372, -1.2487,  0.0372,  0.0372,  0.0164])"
+      ]
+     },
+     "execution_count": 28,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#Recurse 1\n",
+    "sin1 = single_transition(w,g,util,stocks,debris,launch,beta)\n",
+    "sin1"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "id": "corrected-radar",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor([-0.4740, -1.0278, -0.0434, -0.0434, -0.0575])"
+      ]
+     },
+     "execution_count": 31,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#Recurse 2\n",
+    "sin2 = single_transition(sin1 \n",
+    "                         ,g\n",
+    "                         ,util\n",
+    "                         ,stocks_1\n",
+    "                         ,debris_1\n",
+    "                         ,launch,beta)\n",
+    "sin2"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 36,
+   "id": "handy-pencil",
+   "metadata": {
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor([-1.5516, -2.1345, -0.0456, -0.0456, -0.1302])"
+      ]
+     },
+     "execution_count": 36,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#recurse 3\n",
+    "single_transition(sin2,g,util,stocks_2,debris_2,launch,beta)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 37,
+   "id": "attempted-affairs",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor([-1.5516, -2.1345, -0.0456, -0.0456, -0.1302])"
+      ]
+     },
+     "execution_count": 37,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "recurse_transitions(sin2, g, util, stocks_2, debris_2, launch, beta, 1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 39,
+   "id": "honest-diana",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor([-0.7046, -0.9430, -0.0884, -0.0884, -0.1102])"
+      ]
+     },
+     "execution_count": 39,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#I think this highlights the error.\n",
+    "recurse_transitions(recurse_transitions(sin1, g, util, stocks_1, debris_1, launch, beta, 1), g, util, stocks_1, debris_1, launch, beta, 1)"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "utility-browse",
+   "id": "animated-nudist",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/Code/Untitled.ipynb b/Code/Untitled.ipynb
new file mode 100644
index 0000000..2402f0a
--- /dev/null
+++ b/Code/Untitled.ipynb
@@ -0,0 +1,80 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "complicated-passage",
+   "metadata": {},
+   "source": [
+    "testing a recursive function builder"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "alone-individual",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def base(x,depth):\n",
+    "        return \"y\"+base(x)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "sustainable-closing",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'yyyx'"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "base(\"x\",3)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "systematic-actor",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def all_your(fn,depth1):\n",
+    "    if depth1 <= 0:\n",
+    "        return fn\n",
+    "    else:\n",
+    "        ifn = all_your(fn,depth-1)\n",
+    "        return fn(ifn)"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.8"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}