[10pts] Show that i=0ni!ei=n!1uneu�du.pdf
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This mathematical document shows that the sum of i=0 to n of i!ei equals n! divided by the integral from 0 to 1 of u^n eu du. It presents an equality relating factorials, exponentials, and integrals over the interval [0,1]. The document demonstrates a relationship between these concepts in a concise mathematical expression.
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PROFIT
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conoce oficialmente como el Cubo. Quienes trabajan all lo consideran el cerebro. El Cubo es el
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# coding=utf-8
import pickle
import random
import unittest
import matplotlib.pyplot as plt
import networkx
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from visualize_graph import plot_search
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"""Test Priority Queue implementation"""
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temp_list = []
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temp_list.append(a)
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queue.append(node)
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self.assertEqual(actual_node[-1], expected_node[-1])
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def setUp(self):
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self.romania = ExplorableGraph(romania)
self.romania.reset_search()
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start = 'a'
goal = 'u'
node_positions = {n: self.romania.nodes[n]['pos'] for n in
self.romania.nodes.keys()}
self.romania.reset_search()
path = a_star(self.romania, start, goal)
self.draw_graph(self.romania, node_positions=node_positions,
start=start, goal=goal, path=path,
title='test_astar blue=start, yellow=goal, green=explored')
def test_a_star_num_explored(self):
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start = 'a'
goal = 'u'
node_positions = {n: self.romania.nodes[n]['pos'] for n in
self.romania.nodes.keys()}
self.romania.reset_search()
path = a_star(self.romania, start, goal)
self.assertEqual(path, ['a', 's', 'r', 'p', 'b', 'u']) # Check for correct path
explored_nodes = sum(list(self.romania.explored_nodes().values()))
self.assertEqual(explored_nodes, 8) # Compare explored nodes to reference
implementation
@staticmethod
def draw_graph(graph, node_positions=None, start=None, goal=None,
path=None, title=''):
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labels = {}
for node in graph:
labels[node] = node
if node_positions is None:
node_positions = networkx.spring_layout(graph)
network.
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Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
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