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1section
2 h1 Why understanding of basic math is important for computer programing
3 p September 21, 2018, rev2
4 a(href="https://twitter.com/mitjafelicijan") @mitjafelicijan
5
6section
7 h2 Agenda
8 ol
9 li Levenshtein distance
10 li Shortest path algorithm
11 li Distance Formula
12 li
13
14section.center
15 q We Cannot Solve Our Problems With The Same Thinking We Used When We Created Them.
16 footer — Albert Einstein
17
18section
19 h2 How we usually find solutions and why this is problematic?
20
21 ul
22 li We search for code example instead of algorithms.
23 li We copy and paste and do testing on trial&error principle.
24 li We don't take enough time to properly understand problem we a re trying to solve.
25 li Brute force solutions we make are usually not optimized
26
27section
28 h2 Levenshtein distance
29 p The Levenshtein distance is a string metric for measuring difference between two sequences. Informally, the Levenshtein distance between two words is the minimum number of single-character edits (i.e. insertions, deletions or substitutions) required to change one word into the other.
30
31 hr
32
33 div.center
34 img(src="levenshtein-distance.svg", height="150")
35
36 hr
37
38 div.center
39 img(src="test.png")
40
41 hr
42
43 pre
44 code.language-python
45 | def levenshtein(seq1, seq2):
46 | oneago = None
47 | thisrow = range(1, len(seq2) + 1) + [0]
48 | for x in xrange(len(seq1)):
49 | twoago, oneago, thisrow = oneago, thisrow, [0] * len(seq2) + [x + 1]
50 | for y in xrange(len(seq2)):
51 | delcost = oneago[y] + 1
52 | addcost = thisrow[y - 1] + 1
53 | subcost = oneago[y - 1] + (seq1[x] != seq2[y])
54 | thisrow[y] = min(delcost, addcost, subcost)
55 | return thisrow[len(seq2) - 1]
56
57
58 hr
59
60 h4 Going further
61 ul
62 li
63 a(href="https://en.wikibooks.org/wiki/Algorithm_Implementation/Strings/Levenshtein_distance") https://en.wikibooks.org/wiki/Algorithm_Implementation/Strings/Levenshtein_distance
64 li
65 a(href="https://en.wikipedia.org/wiki/Levenshtein_distance") https://en.wikipedia.org/wiki/Levenshtein_distance
66 li
67 a(href="https://rosettacode.org/wiki/Levenshtein_distance") https://rosettacode.org/wiki/Levenshtein_distance
68
69
70
71
72
73
74
75
76
77
78
79
80section
81 h2 Basic linear algebra
82
83 pre
84 code.language-css
85 | body {
86 | background: black;
87 | }
88
89 pre
90 code.language-javascript
91 | $(document).ready(function() {
92 | $('pre code').each(function(i, block) {
93 | hljs.highlightBlock(block);
94 | });
95 | });
96
97 hr
98 figcaption.right Step 1: Finding nearest point
99
100 div.center
101 img(src="drawing1.svg")
102
103 hr
104 figcaption.right Step 1: Finding nearest point
105
106 $$ \large{ \mathbb{R}^2 ∈ \vec{a} \bar{a} } $$
107 $$ \large{ e^{i\pi} + 1 = 0 } $$
108 $$ \large{ x = {-b \pm \sqrt{b^2-4ac} \over 2a} } $$
109
110 hr
111 figcaption.right Step 2: Finding nearest point
112
113 pre
114 code.language-python
115 | fruits = ["apple", "banana", "cherry"]
116 | for x in fruits:
117 | if x == "banana":
118 | break
119 | print(x)
120
121 hr
122 figcaption.right Finding nearest point
123
124 $$ \large{ \mathbb{R}^2 ∈ \vec{a} \bar{a} } $$
125 $$ \large{ e^{i\pi} + 1 = 0 } $$
126 $$ \large{ x = {-b \pm \sqrt{b^2-4ac} \over 2a} } $$
127
128 hr
129 figcaption.right Finding nearest point
130
131 pre
132 code.language-c
133 | #include <stdio.h>
134 | int main () {
135 | for( ; ; ) {
136 | printf("This loop will run forever.\n");
137 | }
138 | return 0;
139 | }
140
141 hr
142 figcaption.right Finding nearest point
143
144 pre
145 code.language-python
146 | fruits = ["apple", "banana", "cherry"]
147 | for x in fruits:
148 | if x == "banana":
149 | break
150 | print(x)
151
152 hr
153 figcaption.right Finding nearest point
154
155 pre
156 code.language-sql
157 | SELECT `CustomerName`, `City` FROM `Customers`;
158
159 hr
160 figcaption.right Finding nearest point
161
162 pre
163 code.language-go
164 | package main
165 | import "fmt"
166 | func main() {
167 | sum := 0
168 | for i := 0; i < 10; i++ {
169 | sum += i
170 | }
171 | fmt.Println(sum)
172 | }
173
174 hr
175 figcaption.right Finding nearest point
176
177 pre
178 code.language-javascript
179 | $(document).ready(function() {
180 | $('pre code').each(function(i, block) {
181 | hljs.highlightBlock(block);
182 | });
183 | });
184
185 hr
186 figcaption.right Finding nearest point
187
188 pre
189 code.language-css
190 | body {
191 | background: black;
192 | }
193
194section
195 h3 Grid example
196 div.grid.col-1-1
197 div Lipsum
198 div Lipsum
199
200 div.grid.col-2-1
201 div Lipsum
202 div Lipsum
203
204 div.grid.col-1-2
205 div Lipsum
206 div Lipsum
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