1
00:00:00,470 --> 00:00:06,800
Hello, guys, and welcome back to our class, of course, about the complete introduction to data science

2
00:00:06,800 --> 00:00:07,710
with Python.

3
00:00:08,270 --> 00:00:13,580
So in this class, we are still going to work with Skype and we are going to have an introduction to

4
00:00:13,580 --> 00:00:16,100
special functions or the special cell package.

5
00:00:17,090 --> 00:00:22,760
So basically those types of functions are pretty cool because it gives you access to dozens and dozens

6
00:00:22,760 --> 00:00:30,290
of functions that will allow you to do really interesting things, such as having access to advanced

7
00:00:30,290 --> 00:00:32,270
math and statistical functions.

8
00:00:32,690 --> 00:00:38,840
So basically some examples of this, all of those functions will be, for example, the elliptic functions

9
00:00:38,840 --> 00:00:41,390
and integrals would be the bissel function.

10
00:00:41,570 --> 00:00:48,770
Every function you will have the derivative you will have spherical bessel functions.

11
00:00:49,400 --> 00:00:52,270
You have, for example, raw statistical functions.

12
00:00:52,280 --> 00:00:54,050
So plenty plain plenty of them.

13
00:00:55,130 --> 00:00:57,110
And all those functions are pretty interesting.

14
00:00:57,110 --> 00:01:04,130
If you guys have a really strong mathematical knowledge and one want to do really advanced advanced

15
00:01:04,130 --> 00:01:05,600
mathematical applications.

16
00:01:07,070 --> 00:01:11,120
So to have access to this package, it's pretty simple.

17
00:01:11,120 --> 00:01:16,180
The first thing that you guys would need to do is, as always, import your Skype.

18
00:01:16,550 --> 00:01:18,740
So this is exactly what we'll do right now.

19
00:01:18,740 --> 00:01:25,490
We'll import our Skype Skype as SB one.

20
00:01:25,490 --> 00:01:25,900
It's done.

21
00:01:25,910 --> 00:01:30,170
The next thing we want to do, we want to be able to work with our special functions.

22
00:01:30,170 --> 00:01:33,350
So we'll simply import the special set package.

23
00:01:33,770 --> 00:01:41,570
So from Skype, we want to import special, so we want to import all the special functions.

24
00:01:43,640 --> 00:01:48,950
So as I said, you guys will have access to plenty of those functions or really advanced mathematical

25
00:01:48,950 --> 00:01:49,350
functions.

26
00:01:49,670 --> 00:01:55,190
So what we'll do right now will simply test one of those functions, which is the Kelvyn function,

27
00:01:56,090 --> 00:01:58,460
and you guys will learn how to write it down.

28
00:01:58,490 --> 00:01:59,150
So pretty simple.

29
00:01:59,160 --> 00:02:02,660
The first thing that we want to do is simply write down a special.

30
00:02:03,980 --> 00:02:08,650
So we want to work with the special package inside of Skype.

31
00:02:08,690 --> 00:02:09,950
So write down special.

32
00:02:09,950 --> 00:02:15,740
But so we want to work with which function in this case, want to work with the Kelvyn function.

33
00:02:15,740 --> 00:02:23,870
So special that Kelvyn and next thing that we want to do is simply create will choose an argument,

34
00:02:23,870 --> 00:02:26,940
because inside of the Kelvyn function there is only one argument.

35
00:02:26,960 --> 00:02:33,600
So in this case, we will write down the 15 and we want to print all this or simply write down print

36
00:02:33,650 --> 00:02:36,350
or let's make a simple let's do it inside of a variable.

37
00:02:36,350 --> 00:02:37,880
So let's call this variable fun.

38
00:02:37,940 --> 00:02:42,220
One would be equal to special Kelvyn 15.

39
00:02:42,470 --> 00:02:45,830
What to do right now is simply print our variable fun one.

40
00:02:47,720 --> 00:02:48,110
All right.

41
00:02:51,460 --> 00:02:53,870
So let's run the up and see what it looks like.

42
00:02:53,890 --> 00:03:00,250
So basically we have everything that is set it up, which, as you can see, this is the answer of Kelvin

43
00:03:00,250 --> 00:03:00,740
15.

44
00:03:00,760 --> 00:03:02,990
So basically, this would be our answer right here.

45
00:03:03,340 --> 00:03:05,170
It's printed right there.

46
00:03:05,780 --> 00:03:06,050
All right.

47
00:03:06,050 --> 00:03:11,440
So as you can see, this is one of the hundreds of different special functions that we have access to.

48
00:03:12,040 --> 00:03:13,880
There are plenty and plenty and plenty of them.

49
00:03:13,900 --> 00:03:19,960
So basically, if you simply make a simple research on Google, you will be able to find out all of

50
00:03:19,960 --> 00:03:20,840
those functions.

51
00:03:21,580 --> 00:03:21,970
All right.

52
00:03:22,300 --> 00:03:27,260
Next thing that we are going to talk about are some really basic functions.

53
00:03:27,260 --> 00:03:32,470
So basically, in this case, we are going to talk about convenience functions.

54
00:03:32,470 --> 00:03:38,200
So basically those functions are, in my opinion, really simple to understand and will try a few of

55
00:03:38,200 --> 00:03:38,440
them.

56
00:03:38,770 --> 00:03:43,700
So basically, we are going to calculate the log of certain numbers.

57
00:03:43,700 --> 00:03:45,130
So X log Y.

58
00:03:45,160 --> 00:03:51,760
So basically we will do this function, will also do the exponential function and the expansion to function

59
00:03:52,030 --> 00:04:00,430
and also try some X and well, some costs and in functions just for you guys to see what it looks like.

60
00:04:01,270 --> 00:04:05,950
So let's start with the first function, which will be the X log Y function.

61
00:04:06,700 --> 00:04:08,380
So how exactly do you write it down?

62
00:04:08,410 --> 00:04:15,210
It's pretty simple to simply write down an equal one equal equal special dot.

63
00:04:15,220 --> 00:04:21,880
And in this case, right now, we want to have access to our function, which would be X log Y.

64
00:04:22,450 --> 00:04:26,220
So basically in this function, there are two arguments and what it will do, it will simply compute

65
00:04:26,410 --> 00:04:33,740
compute X multiplied by log white so that the result is zero if X equals zero.

66
00:04:34,870 --> 00:04:41,770
Basically, since we're multiplying X by log Y, if X is zero, logically it's going to be zero because

67
00:04:41,770 --> 00:04:44,620
zero multiplied by anything will be equal to zero.

68
00:04:45,340 --> 00:04:45,670
All right.

69
00:04:45,680 --> 00:04:47,050
So let's try this function out.

70
00:04:47,080 --> 00:04:49,450
So once again, you don't need to understand all those functions.

71
00:04:49,450 --> 00:04:53,950
You just need to understand the big picture and the concept of all this.

72
00:04:53,970 --> 00:04:56,230
So basically how to write those functions down.

73
00:04:56,740 --> 00:04:57,070
All right.

74
00:04:57,070 --> 00:05:00,160
So X, lugg Y.

75
00:05:01,180 --> 00:05:06,010
And right now, let's say the first argument of our function will be two.

76
00:05:06,310 --> 00:05:12,550
And the why of this argument that we have the X and the Y will be, let's say 10.

77
00:05:13,570 --> 00:05:16,110
And what a fun one if we're on the up.

78
00:05:16,470 --> 00:05:17,770
This would be our answer.

79
00:05:17,800 --> 00:05:24,580
So basically what it does, it simply multiplies X by X would be two by the log of 10.

80
00:05:24,610 --> 00:05:26,110
So in this case, it's going to be four.

81
00:05:26,110 --> 00:05:27,430
That's six zero five.

82
00:05:28,320 --> 00:05:28,680
All right.

83
00:05:28,690 --> 00:05:36,680
Next thing that we can we can do, we will try to use another function that will calculate exponential.

84
00:05:37,260 --> 00:05:43,150
And so basically we will compute then by how much times we want to basically what's going to be ten

85
00:05:43,330 --> 00:05:44,410
at the certain powers.

86
00:05:44,430 --> 00:05:48,380
So it could be 10 power, let's say ten or ten power to temperature.

87
00:05:48,770 --> 00:05:50,960
So it's a really simple function once again.

88
00:05:50,960 --> 00:05:52,590
So it's ten.

89
00:05:53,410 --> 00:05:55,840
So it's going to be written down the same way.

90
00:05:55,840 --> 00:05:59,430
So special that we exp in this case, ten.

91
00:06:00,100 --> 00:06:05,000
So once again, we want to have our ten at power, let's say five.

92
00:06:05,290 --> 00:06:10,240
So it's going to be ten multiplied by ten, multiplied by ten, multiplied by then multiplied by ten.

93
00:06:10,720 --> 00:06:12,120
So this would be our answer.

94
00:06:12,130 --> 00:06:16,810
If we put that ten at power 50, it's going to be a bit bigger.

95
00:06:16,820 --> 00:06:19,120
So as you can see, this would the answer.

96
00:06:19,150 --> 00:06:23,200
So basically it's going to be ten multiplied by ten, 15 times.

97
00:06:24,250 --> 00:06:24,650
All right.

98
00:06:24,670 --> 00:06:27,190
So this is for our second function.

99
00:06:27,970 --> 00:06:32,530
Another thing that you guys can do inside of convenience functions, you can calculate the cost the

100
00:06:32,530 --> 00:06:36,490
same and the ten of different things.

101
00:06:36,500 --> 00:06:41,370
So basically, this could be this can be used inside of trigonometric calculations.

102
00:06:41,770 --> 00:06:51,610
So if you guys work in the well with trigonometry, you can calculate you can calculate trigonometry,

103
00:06:51,850 --> 00:06:53,560
trigonometry calculations.

104
00:06:54,410 --> 00:06:57,300
Um, so we can try it out.

105
00:06:57,310 --> 00:07:00,250
We can try just to make the calculation for the cost, for example.

106
00:07:00,580 --> 00:07:01,630
So pretty simple.

107
00:07:01,930 --> 00:07:07,250
How we will write it down will simply be our variable right here.

108
00:07:07,270 --> 00:07:08,170
So fun.

109
00:07:08,170 --> 00:07:18,550
One special that it's going to be syn d.g because we want the degrees which in degrees and let's say

110
00:07:18,550 --> 00:07:21,940
we, we, we have thirty degrees so in this case thirty degrees.

111
00:07:22,210 --> 00:07:24,630
And we want to print this variable right here.

112
00:07:24,640 --> 00:07:28,690
So basically the set of 30 degrees will be this.

113
00:07:29,740 --> 00:07:32,680
We can do the exact same thing for six degrees for example.

114
00:07:34,170 --> 00:07:36,690
So the scent of 60 degrees will be this.

115
00:07:38,400 --> 00:07:43,470
Can do it for 90 degrees, so just you guys will see what it will look like.

116
00:07:43,740 --> 00:07:44,580
It gives us one.

117
00:07:44,910 --> 00:07:48,880
We can use the sand we can write down because it works pretty much the same way.

118
00:07:48,900 --> 00:07:51,140
So here we have this and we can write down costs.

119
00:07:52,950 --> 00:07:55,840
So as you can see, it's going to be minus or it's going to be zero.

120
00:07:55,860 --> 00:08:02,760
The answer is you can see those are just some examples of functions that well of special functions that

121
00:08:02,760 --> 00:08:03,180
exist.

122
00:08:03,430 --> 00:08:09,780
We can do plenty of other things and there are plenty of other functions that exist inside of special

123
00:08:09,780 --> 00:08:10,670
functions once.

124
00:08:10,770 --> 00:08:16,380
I'm not going to demonstrate them all because it's going to take us a lot of times a lot of time for

125
00:08:16,380 --> 00:08:16,950
nothing.

126
00:08:17,430 --> 00:08:24,630
But once again, just for you guys to understand that this package of SCoPI is really interesting if

127
00:08:24,630 --> 00:08:29,130
you guys want to make more advanced mathematical python abs.

128
00:08:29,520 --> 00:08:32,910
So that's a first class guys into our next class.