PART 3: PATTERNS AND NUMBERS IN NATURE AND THE WORLD || MATHEMATICS IN THE MODERN WORLD — Transcript

Full transcript

1. 0:00welcome to part trina unanglaisonet and
2. 0:02patterns and number in nature in the
3. 0:05world
4. 0:09patterns exhibited in the external
5. 0:12appearances of animals the tigers
6. 0:14looks and the hyena spot these seemingly
7. 0:17random designs
8. 0:19are believed to be governed by
9. 0:21mathematical equation
10. 0:23according to the theory of alan turin
11. 0:25the chemical factors in the cell
12. 0:27determine
13. 0:28growth patterns and influence factors
14. 0:31like
15. 0:32hair color there are two chemical
16. 0:34processes
17. 0:35reaction and diffusion
18. 0:39most recent studies alexa sub in some
19. 0:42species
20. 0:43group vertical stripes
21. 0:48stripes a new model by harvard
22. 0:51university researchers
23. 0:52predicts that there are three variables
24. 0:55that could affect the orientation of
25. 0:56these stripes
26. 0:58first the substance that amplifies the
27. 1:01density of stripe patterns second
28. 1:04the substance that changes one of the
29. 1:07parameters
30. 1:08involved in stripe formation and lastly
31. 1:11the physical change in the direction of
32. 1:13the origin
33. 1:14of the stripe another is the sunflower
34. 1:19looking at the sunflower there is a
35. 1:21definite pattern of clockwise and
36. 1:24counterclockwise arc of spirals
37. 1:26extending outward from the center of the
38. 1:29flower
39. 1:31so the arrange the arrangement allows
40. 1:34the sunflower seeds to occupy the
41. 1:36flowers
42. 1:37read in a way that maximize their access
43. 1:40to light and necessary nutrients
44. 1:44another the snail shell
45. 1:48as the snails grow their shells also
46. 1:51expand
47. 1:53proportionally this process result in a
48. 1:56refined spiral structure it is called as
49. 1:59equiangular spiral so capacity
50. 2:09another is the flower petals flowers
51. 2:12are easily considered as things of
52. 2:15beauty
53. 2:16flowers with five petals are said to be
54. 2:19the most common so del
55. 2:26two petals three and four petals and
56. 2:28that we called
57. 2:29that number of petals are the fibonacci
58. 2:32numbers concerning the discussion
59. 2:35associated nothing lesson
60. 2:39also the population growth mathematics
61. 2:42used to model population growth with the
62. 2:44formula
63. 2:45a is equal to p times e
64. 2:48raised to rt where a is the size of the
65. 2:51population
66. 2:53and p is the initial number of people
67. 2:56r is the rate of growth so
68. 2:59presentation given you need to convert
69. 3:01in this decimal
70. 3:03and t is the time and e is the universe
71. 3:06constant with an approximately value of
72. 3:092.718
73. 3:11halimbawa the exponential growth model
74. 3:16is equal to 30 times e raised to 0.02 t
75. 3:21described the population of a city in
76. 3:23the philippines
77. 3:24in thousand t years after 1995
78. 3:28ibiza began the starting year is 1995.
79. 3:32so let's try to answer the following
80. 3:35what was the population of the city in
81. 3:381995
82. 3:39what will be the population in 2017
83. 3:42first okay kunin
84. 3:47population in 1995 given the exponential
85. 3:51growth
86. 3:52since uh the starting year is 1995 so
87. 3:57therefore young
88. 3:58value 19 zero so this is our given
89. 4:03so subtitling nothing in value 19.
90. 4:07and that is zero so subtitling nothing
91. 4:10details 0.02 times zero
92. 4:13and any number so this is zero so any
93. 4:16number raised to zero the answer is one
94. 4:18one times thirty that is thirty and this
95. 4:21is in thousand so a big sub n
96. 4:25uh the city population in 1995 was
97. 4:28thirty thousand
98. 4:32okay paramaguanaman in population in
99. 4:352017
100. 4:36bibilanginating in 1995 hunger 2017
101. 4:41so that is 22 ohm is subtracting
102. 4:442017 minus 1995 the value of t
103. 4:48is 22. so given the exponential growth
104. 4:52so it
105. 4:54is so that is 22 times 0.02
106. 4:59and 22 times 0.02 is 0.44
107. 5:03and 30 raised times e raised to 0.44
108. 5:08and e raised to 0.44 that is 1.55271
109. 5:13times 30
110. 5:15so we come up 46.5813 ebig sub
111. 5:18n the city population would be about
112. 5:2246 46581 in
113. 5:262017
114. 5:29let's end this discussion with the
115. 5:31saying do not conform to the pattern of
116. 5:34this word
117. 5:35but be transformed by the renewing of
118. 5:37your mind
119. 5:39then you will be able to test and
120. 5:40approve what's god's
121. 5:42will is his good pleasing and perfect
122. 5:46will
123. 5:49you can find me at walmart walmart2020
124. 5:51gmail.com and you
125. 5:53you can download the powerpoint
126. 5:56presentation
127. 5:57by uh copying the
128. 6:01link to your browser parameter new
129. 6:05presentation
130. 6:12thank you for watching this video i hope
131. 6:14you learned something
132. 6:15don't forget to like subscribe and hit
133. 6:18the bell button
134. 6:19but updated ko for more video tutorial
135. 6:22this is your guide in learning your mod
136. 6:24lesson your walmart channel