543 lines
58 KiB
Plaintext
543 lines
58 KiB
Plaintext
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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"deletable": false,
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"editable": false,
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"nbgrader": {
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"cell_type": "code",
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"checksum": "29874499fd2a20779e162626f76f6776",
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"grade": false,
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"grade_id": "cell-e894ec2378fa46eb",
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"locked": true,
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"schema_version": 3,
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"solution": false,
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"task": false
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}
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},
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"outputs": [],
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"source": [
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"# You must run this cell, but you can ignore its contents.\n",
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"\n",
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"import hashlib\n",
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"\n",
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"def ads_hash(ty):\n",
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" \"\"\"Return a unique string for input\"\"\"\n",
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" ty_str = str(ty).encode()\n",
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" m = hashlib.sha256()\n",
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" m.update(ty_str)\n",
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" return m.hexdigest()[:10]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"deletable": false,
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"editable": false,
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"nbgrader": {
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"cell_type": "code",
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"checksum": "6f1fee68b047ccaf945f9998a29d8651",
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"grade": false,
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"grade_id": "cell-ada87b3b188b2d39",
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"locked": true,
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"schema_version": 3,
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"solution": false,
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"task": false
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}
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},
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"outputs": [],
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"source": [
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"# You must also run this cell.\n",
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"\n",
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"import numpy as np\n",
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"import matplotlib.pyplot as plt"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": false,
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"editable": false,
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"nbgrader": {
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"cell_type": "markdown",
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"checksum": "bd84ae4c048d756b33d0fd85d55f1aec",
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"grade": false,
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"grade_id": "cell-d7462f8b0f718bef",
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"locked": true,
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"schema_version": 3,
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"solution": false,
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"task": false
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}
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},
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"source": [
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"# Exercise - Optimization first steps\n",
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"\n",
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"We are going to take our first steps towards optimization by returning to a bumblebee example.\n",
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"\n",
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"We are going to define the positions of a flower and the flight path of a bumblebee."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"deletable": false,
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"editable": false,
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"nbgrader": {
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"cell_type": "code",
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"checksum": "13882d6eb738408b7520368a4b5e8ff5",
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"grade": false,
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"grade_id": "cell-78cb75cddd4fc5ef",
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"locked": true,
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"schema_version": 3,
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"solution": false,
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"task": false
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}
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},
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"outputs": [],
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"source": [
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"flower = np.array([7.5, 10.3])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"deletable": false,
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"editable": false,
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"nbgrader": {
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"cell_type": "code",
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"checksum": "5f73a413f4a03726e882c755a3430c17",
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"grade": false,
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"grade_id": "cell-ab9736432799913b",
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"locked": true,
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"schema_version": 3,
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"solution": false,
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"task": false
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}
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},
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"outputs": [],
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"source": [
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"def make_bee_track(t):\n",
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" pos0 = (-10,3)\n",
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" velocity = (4.0, 0.2)\n",
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" pos_x = pos0[0] + t*velocity[0]\n",
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" pos_y = pos0[1] + t*velocity[1]\n",
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" return np.array([pos_x,pos_y])\n",
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"\n",
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"t = np.linspace(0,15,20)\n",
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"bee_track = make_bee_track(t)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": false,
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"editable": false,
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"nbgrader": {
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"cell_type": "markdown",
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"checksum": "6aa761a551cb0142afbfe7e7d81947ed",
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"grade": false,
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"grade_id": "cell-08928dcd585933a7",
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"locked": true,
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"schema_version": 3,
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"solution": false,
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"task": false
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}
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},
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"source": [
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"Here we plot these positions."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"deletable": false,
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"editable": false,
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"nbgrader": {
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"cell_type": "code",
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"checksum": "c8e52b43cbe861d8eddacccc87aeb1e2",
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"grade": false,
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"grade_id": "cell-4b58d56276437c3a",
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"locked": true,
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"schema_version": 3,
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"solution": false,
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"task": false
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}
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},
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"outputs": [],
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"source": [
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"fig, ax = plt.subplots(nrows=1, ncols=1)\n",
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"ax.plot( [flower[0]], [flower[1]], 'or', label='flower' )\n",
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"ax.plot( bee_track[0], bee_track[1], '.-k', label='bee')\n",
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"ax.axis('equal')\n",
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"ax.legend();"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": false,
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"editable": false,
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"nbgrader": {
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"cell_type": "markdown",
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"checksum": "0f3a53f8323083b2effbac78689c09d7",
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"grade": false,
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"grade_id": "cell-701acd6a5b4a9581",
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"locked": true,
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"schema_version": 3,
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"solution": false,
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"task": false
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}
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},
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"source": [
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"## Q1 Draw a figure as above with, additionally, a blue line between each point on `bee_track` and `flower`.\n",
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"\n",
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"When complete, your figure should look like this:\n",
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"\n",
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"<img src=\"data:image/png;base64,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"\n",
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"\n",
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"Hint, draw the flower first. Then, make a for loop which steps through each position of the bee. Inside the for loop, draw a line segment between the bee and the flower."
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]
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},
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{
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"cell_type": "code",
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|
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"execution_count": null,
|
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|
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"metadata": {
|
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"deletable": false,
|
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|
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"nbgrader": {
|
||
|
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"cell_type": "code",
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"checksum": "38fbad4ec96d8ade393535b625140003",
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"grade": true,
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"grade_id": "cell-43f8774b1a82b15b",
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"locked": false,
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"points": 1,
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"schema_version": 3,
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"solution": true,
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"task": false
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}
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},
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"outputs": [],
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"source": [
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"# YOUR CODE HERE\n",
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"raise NotImplementedError()"
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]
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},
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|
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{
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|
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"cell_type": "markdown",
|
||
|
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"metadata": {
|
||
|
|
"deletable": false,
|
||
|
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"editable": false,
|
||
|
|
"nbgrader": {
|
||
|
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"cell_type": "markdown",
|
||
|
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"checksum": "89805e9c9678ff01669528f20a596bf6",
|
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|
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"grade": false,
|
||
|
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"grade_id": "cell-45a057824a59090e",
|
||
|
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"locked": true,
|
||
|
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"schema_version": 3,
|
||
|
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"solution": false,
|
||
|
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"task": false
|
||
|
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}
|
||
|
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},
|
||
|
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"source": [
|
||
|
|
"## Q2 write a function called `my_distance` which takes two arguments, each of which is a length 2 sequence of `x`, `y` position and returns the Euclidean distance between these points."
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {
|
||
|
|
"deletable": false,
|
||
|
|
"nbgrader": {
|
||
|
|
"cell_type": "code",
|
||
|
|
"checksum": "9bd3bd0fb3a886f4696138c95e0058ab",
|
||
|
|
"grade": false,
|
||
|
|
"grade_id": "cell-9d86e35ff582bf8f",
|
||
|
|
"locked": false,
|
||
|
|
"schema_version": 3,
|
||
|
|
"solution": true,
|
||
|
|
"task": false
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"# YOUR CODE HERE\n",
|
||
|
|
"raise NotImplementedError()"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {
|
||
|
|
"deletable": false,
|
||
|
|
"editable": false,
|
||
|
|
"nbgrader": {
|
||
|
|
"cell_type": "code",
|
||
|
|
"checksum": "b359ea8e38a47e5320e08ce6158dc39c",
|
||
|
|
"grade": true,
|
||
|
|
"grade_id": "cell-d96cb3c1a49758db",
|
||
|
|
"locked": true,
|
||
|
|
"points": 0,
|
||
|
|
"schema_version": 3,
|
||
|
|
"solution": false,
|
||
|
|
"task": false
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"assert my_distance((0,0),(3,4)) == 5\n",
|
||
|
|
"assert my_distance((3,4), (0,0)) == 5\n",
|
||
|
|
"assert my_distance((13,14), (10,10)) == 5\n",
|
||
|
|
"assert my_distance((10,10), (13,14)) == 5"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "markdown",
|
||
|
|
"metadata": {
|
||
|
|
"deletable": false,
|
||
|
|
"editable": false,
|
||
|
|
"nbgrader": {
|
||
|
|
"cell_type": "markdown",
|
||
|
|
"checksum": "5220e92a49ceb61457be556c246b28ce",
|
||
|
|
"grade": false,
|
||
|
|
"grade_id": "cell-9426c238469156ae",
|
||
|
|
"locked": true,
|
||
|
|
"schema_version": 3,
|
||
|
|
"solution": false,
|
||
|
|
"task": false
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"source": [
|
||
|
|
"## Q3 compute the distance between each point on `bee_track` and `flower`. Put the results in a 1D numpy array called `distance`.\n",
|
||
|
|
"\n",
|
||
|
|
"Hint: recall the function you wrote in the \"numpy basics\" exercise called `compute_distance`."
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {
|
||
|
|
"deletable": false,
|
||
|
|
"nbgrader": {
|
||
|
|
"cell_type": "code",
|
||
|
|
"checksum": "922ea2de206db155b31c1b6020e50c27",
|
||
|
|
"grade": false,
|
||
|
|
"grade_id": "cell-bf78a3429e48b28d",
|
||
|
|
"locked": false,
|
||
|
|
"schema_version": 3,
|
||
|
|
"solution": true,
|
||
|
|
"task": false
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"# YOUR CODE HERE\n",
|
||
|
|
"raise NotImplementedError()"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {
|
||
|
|
"deletable": false,
|
||
|
|
"editable": false,
|
||
|
|
"nbgrader": {
|
||
|
|
"cell_type": "code",
|
||
|
|
"checksum": "0304ff76ac1ade2c3221a53c5df5fbb2",
|
||
|
|
"grade": true,
|
||
|
|
"grade_id": "cell-70fd1e669decb646",
|
||
|
|
"locked": true,
|
||
|
|
"points": 1,
|
||
|
|
"schema_version": 3,
|
||
|
|
"solution": false,
|
||
|
|
"task": false
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"# If this runs without error, it means the answer in your previous cell was correct.\n",
|
||
|
|
"assert ads_hash(np.round(distance*1000).astype(np.int32))=='54f4f2edcb'"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "markdown",
|
||
|
|
"metadata": {},
|
||
|
|
"source": [
|
||
|
|
"## Q4 make a plot of the bee track parameter `t` on the X axis and `distance` on the Y axis.\n",
|
||
|
|
"\n",
|
||
|
|
"It should look like this:\n",
|
||
|
|
"\n",
|
||
|
|
"<img src=\"data:image/png;base64,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
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {
|
||
|
|
"deletable": false,
|
||
|
|
"nbgrader": {
|
||
|
|
"cell_type": "code",
|
||
|
|
"checksum": "c03c9f9064ad82267ed7ad1ff2274116",
|
||
|
|
"grade": true,
|
||
|
|
"grade_id": "cell-acdc61a7b1539944",
|
||
|
|
"locked": false,
|
||
|
|
"points": 1,
|
||
|
|
"schema_version": 3,
|
||
|
|
"solution": true,
|
||
|
|
"task": false
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"# YOUR CODE HERE\n",
|
||
|
|
"raise NotImplementedError()"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "markdown",
|
||
|
|
"metadata": {},
|
||
|
|
"source": [
|
||
|
|
"## Q5 Using `calc_distance_func` from the lecture, find the value of `t` that minimizes the distance between the bee and the flower. Save the result in `best_t`."
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {
|
||
|
|
"deletable": false,
|
||
|
|
"nbgrader": {
|
||
|
|
"cell_type": "code",
|
||
|
|
"checksum": "ea188c9450758aa26fecfdc16042a9f2",
|
||
|
|
"grade": false,
|
||
|
|
"grade_id": "cell-23d19427610d2072",
|
||
|
|
"locked": false,
|
||
|
|
"schema_version": 3,
|
||
|
|
"solution": true,
|
||
|
|
"task": false
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"# YOUR CODE HERE\n",
|
||
|
|
"raise NotImplementedError()"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {
|
||
|
|
"deletable": false,
|
||
|
|
"editable": false,
|
||
|
|
"nbgrader": {
|
||
|
|
"cell_type": "code",
|
||
|
|
"checksum": "7a33eaaaaca8781f883635cee037a71d",
|
||
|
|
"grade": true,
|
||
|
|
"grade_id": "cell-0a3594afd2952a33",
|
||
|
|
"locked": true,
|
||
|
|
"points": 1,
|
||
|
|
"schema_version": 3,
|
||
|
|
"solution": false,
|
||
|
|
"task": false
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"# If this runs without error, it means the answer in your previous cell was correct.\n",
|
||
|
|
"assert ads_hash(np.round(best_t*1000).astype(np.int32))=='dec1ab2f6d'"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"make_bee_track(best_t)"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "markdown",
|
||
|
|
"metadata": {},
|
||
|
|
"source": [
|
||
|
|
"## Q6 What is the position of the bee when it is closest to the flower? Save the result as a numpy array in `best_pos`."
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {
|
||
|
|
"deletable": false,
|
||
|
|
"nbgrader": {
|
||
|
|
"cell_type": "code",
|
||
|
|
"checksum": "20073a563548884f84b927f1c1f154eb",
|
||
|
|
"grade": false,
|
||
|
|
"grade_id": "cell-cac598c7f739d146",
|
||
|
|
"locked": false,
|
||
|
|
"schema_version": 3,
|
||
|
|
"solution": true,
|
||
|
|
"task": false
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"# YOUR CODE HERE\n",
|
||
|
|
"raise NotImplementedError()"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {
|
||
|
|
"deletable": false,
|
||
|
|
"editable": false,
|
||
|
|
"nbgrader": {
|
||
|
|
"cell_type": "code",
|
||
|
|
"checksum": "4e73e4a1310b052d0bd683f8e5b40fd3",
|
||
|
|
"grade": true,
|
||
|
|
"grade_id": "cell-9d882991838f0996",
|
||
|
|
"locked": true,
|
||
|
|
"points": 1,
|
||
|
|
"schema_version": 3,
|
||
|
|
"solution": false,
|
||
|
|
"task": false
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"# If this runs without error, it means the answer in your previous cell was correct.\n",
|
||
|
|
"assert type(best_pos)==np.ndarray\n",
|
||
|
|
"assert best_pos.ndim==1\n",
|
||
|
|
"assert best_pos.shape==(2,)\n",
|
||
|
|
"assert ads_hash(np.round(best_pos[0]*1000).astype(np.int32))=='e33b9415bc'\n",
|
||
|
|
"assert ads_hash(np.round(best_pos[1]*1000).astype(np.int32))=='f71cbfce4c'"
|
||
|
|
]
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"metadata": {
|
||
|
|
"kernelspec": {
|
||
|
|
"display_name": "Python 3 (ipykernel)",
|
||
|
|
"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": "3.11.7"
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"nbformat": 4,
|
||
|
|
"nbformat_minor": 4
|
||
|
|
}
|