1
00:00:00,510 --> 00:00:04,290
Hello, guys, and welcome back to another class of our course, I want the complete introduction to

2
00:00:04,290 --> 00:00:05,850
the science with Python.

3
00:00:06,380 --> 00:00:12,160
So in this class, we are going to learn some more mathematical operations that can be used with numbers

4
00:00:12,330 --> 00:00:13,200
on Python.

5
00:00:14,170 --> 00:00:19,140
So basically, the operations that we are going to talk about today would be all the basic operations,

6
00:00:19,140 --> 00:00:25,470
such as additional multiplying by adding and subtracting all this with arrays.

7
00:00:25,470 --> 00:00:28,810
So it's going to be basic matrix operations that I'll show you how to do.

8
00:00:28,830 --> 00:00:30,440
So we talked about it a bit earlier.

9
00:00:30,450 --> 00:00:31,910
We're just going to have a refresher.

10
00:00:32,040 --> 00:00:35,240
We're going to talk about putting everything into one single column.

11
00:00:35,760 --> 00:00:37,490
We've got to talk about some of axes.

12
00:00:37,740 --> 00:00:44,440
So basically how to make a sum of axes and the square root and the standard deviation function.

13
00:00:45,360 --> 00:00:46,230
So let's start.

14
00:00:46,620 --> 00:00:50,290
So before we start what we need, we need a Arry.

15
00:00:50,310 --> 00:00:54,960
So basically what we'll do, we'll create a two dimensional area and we'll work with it for the purpose

16
00:00:54,960 --> 00:00:56,010
of the whole course.

17
00:00:56,490 --> 00:00:59,100
So pretty simple naming are one.

18
00:01:00,120 --> 00:01:05,280
And this one dimensional area would be like always an area with even numbers.

19
00:01:06,970 --> 00:01:07,680
So here we go.

20
00:01:10,220 --> 00:01:12,230
So we'll have two, four, six.

21
00:01:19,790 --> 00:01:23,330
And the second one would be one three five.

22
00:01:24,890 --> 00:01:26,450
So, as you can see, pretty simple.

23
00:01:28,420 --> 00:01:31,480
Next thing that we will do, we'll have our second.

24
00:01:32,230 --> 00:01:34,090
So in this case.

25
00:01:36,930 --> 00:01:38,010
He was a.

26
00:01:39,890 --> 00:01:48,410
Well, we are seeing right here, which will be number two, and basically you guys can change numbers

27
00:01:48,410 --> 00:01:54,470
or you can keep the numbers as they are basically to change the numbers just for the purpose of the

28
00:01:54,470 --> 00:01:54,920
example.

29
00:01:54,920 --> 00:02:00,170
You don't need to have the same numbers as me just to show you that we can make some basic operations

30
00:02:00,200 --> 00:02:00,970
on average.

31
00:02:01,700 --> 00:02:02,060
All right.

32
00:02:02,070 --> 00:02:06,620
So the first operation that we are going to talk about in this well, and this, of course, will be

33
00:02:06,620 --> 00:02:10,010
the addition to basically how do we make basic operations?

34
00:02:10,430 --> 00:02:13,220
So metalworks operations on the air is pretty simple.

35
00:02:13,730 --> 00:02:15,080
Simply write down print.

36
00:02:16,490 --> 00:02:20,410
And from this point, what you want to do is simply select your battles.

37
00:02:20,450 --> 00:02:28,140
In this case, one plus two, and you can run the up and you will have the answer right here.

38
00:02:28,400 --> 00:02:34,100
So basically what it will do, it will simply do a basic mathematical well, a basic matrix operation.

39
00:02:34,430 --> 00:02:36,040
So in this case, it's an addition.

40
00:02:36,050 --> 00:02:38,480
So we can do the same thing for substraction.

41
00:02:40,020 --> 00:02:47,130
I can do the same thing for multiplication, so if you want to multiply errors and finally for all divisions,

42
00:02:47,790 --> 00:02:49,740
so it's going to work pretty well.

43
00:02:49,740 --> 00:02:54,510
So you can see it gives us the right answers each and every time.

44
00:02:55,320 --> 00:02:57,300
So this is for Matrix operations.

45
00:02:57,380 --> 00:02:59,830
As you can see, it's pretty simple to understand.

46
00:03:00,840 --> 00:03:01,210
All right.

47
00:03:01,950 --> 00:03:06,850
Next thing let's say you guys want to print, so you want to put everything on the same rules.

48
00:03:06,860 --> 00:03:15,450
So let's say you guys have in this case, we just kind of keep one one every so so you have this area

49
00:03:15,450 --> 00:03:18,980
that is two dimensional and you want to put everything on just one column.

50
00:03:19,620 --> 00:03:20,520
So it's pretty simple.

51
00:03:20,520 --> 00:03:21,600
How do we do this?

52
00:03:21,840 --> 00:03:32,360
So if we print the blueprint or one, then you guys can see right here that it's on two rows.

53
00:03:32,370 --> 00:03:33,600
So basically it's two rows.

54
00:03:34,740 --> 00:03:38,510
And if you want to put it on just one column, how exactly will do it do it?

55
00:03:38,520 --> 00:03:39,170
It's pretty simple.

56
00:03:39,180 --> 00:03:41,130
So I'll print both of them.

57
00:03:41,140 --> 00:03:44,890
So we'll have we'll have the original one and the other one.

58
00:03:45,330 --> 00:03:46,470
So it's going to be pretty simple.

59
00:03:46,470 --> 00:03:51,630
Simply right now we are one in this case, the name of your variable that really will

60
00:03:56,160 --> 00:03:57,510
open and close parenthesis.

61
00:04:01,560 --> 00:04:02,260
And here you go.

62
00:04:02,490 --> 00:04:06,930
So if you bring if you print it, as you can see here, you will have everything.

63
00:04:06,940 --> 00:04:13,100
So all your numbers on the same columns with just one column for all the numbers.

64
00:04:13,470 --> 00:04:13,810
All right.

65
00:04:13,830 --> 00:04:19,500
Next thing that we are going to talk about is the sum of axes and basically went on saying some of it

66
00:04:19,500 --> 00:04:28,140
says you guys can make a sum of all the columns as well as all the rules on your wealth, on your in

67
00:04:28,140 --> 00:04:28,680
this case.

68
00:04:30,270 --> 00:04:32,950
So how exactly this works, it's pretty simple.

69
00:04:32,970 --> 00:04:36,090
So once again, we have our eye right here.

70
00:04:36,990 --> 00:04:42,830
And to be able to make a sum of Xes, it's going to be a basic sum operation.

71
00:04:43,230 --> 00:04:52,200
So simply write down when your friend is here, write down the name of your function of your variable.

72
00:04:52,270 --> 00:04:54,960
So in this case, it's going to be the one that.

73
00:04:55,950 --> 00:05:02,880
So usually if you do this, if you just run a sum function, it's going to calculate the sum of your

74
00:05:02,970 --> 00:05:05,240
title of this right here.

75
00:05:05,730 --> 00:05:13,050
But in in the case, it's one, two, three, the sum of exit of the of an axis of the axis.

76
00:05:13,380 --> 00:05:15,090
The way that we do this, it's pretty simple.

77
00:05:15,100 --> 00:05:16,980
So we just open up that parenthesis.

78
00:05:18,660 --> 00:05:20,940
And from this point, we just write down axis.

79
00:05:22,930 --> 00:05:30,310
And in this case, the access could be equal to one or zero if, for example, right down zero, as

80
00:05:30,310 --> 00:05:33,750
you can see, it will calculate the sum of all the columns.

81
00:05:34,000 --> 00:05:42,970
And if we write down, one will do it will calculate the sum of all the in this case.

82
00:05:43,810 --> 00:05:45,060
So if we print both of them.

83
00:05:45,070 --> 00:05:47,350
So if I print, for example, my.

84
00:05:48,930 --> 00:05:59,060
Well, my variable in this one, and I run it so as you can see, first thing is going to be this.

85
00:05:59,340 --> 00:06:05,820
So basically if I select access equals to one, it will calculate the sum of all the numbers right here

86
00:06:05,820 --> 00:06:07,030
and all the numbers right here.

87
00:06:07,050 --> 00:06:09,910
So 12 will be the sum of six plus four plus two.

88
00:06:10,200 --> 00:06:14,970
So it's going to be 12 and nine will be the sum of five plus three plus one.

89
00:06:15,240 --> 00:06:21,790
If instead I write down equal to one to zero sorry, and I run the app, it's going to be the reverse.

90
00:06:22,230 --> 00:06:23,190
So what's going to happen?

91
00:06:23,400 --> 00:06:26,340
Three will simply be the sum of two plus one.

92
00:06:26,340 --> 00:06:30,680
Seven will be the sum of four plus three and 11 will be the sum of six plus five.

93
00:06:31,080 --> 00:06:33,480
Those can see it's pretty simple to understand.

94
00:06:34,410 --> 00:06:34,790
All right.

95
00:06:34,800 --> 00:06:39,240
So right now that you guys get the sum up axis, the next two things that we are going to talk about

96
00:06:39,240 --> 00:06:42,420
will be the square root as well as the standard deviation.

97
00:06:43,080 --> 00:06:48,930
So basically how the square root function works, it's pretty much the same as it works for if you make

98
00:06:48,930 --> 00:06:51,130
it on Pythonic without using Iris.

99
00:06:51,480 --> 00:06:56,820
So it's going to be the security function, but it's going to be written with non-pay, with the NUM

100
00:06:56,830 --> 00:06:57,600
by a feature.

101
00:06:58,170 --> 00:07:06,720
So simply write down print and keep that square so security and then you enter the name of your variable.

102
00:07:06,730 --> 00:07:11,820
So in this case, the one and you can run.

103
00:07:12,480 --> 00:07:15,880
So what it will do, it will calculate the square root of all the numbers.

104
00:07:15,900 --> 00:07:21,060
So basically the square root of two, the square root of four of six, then the square root of one right

105
00:07:21,060 --> 00:07:23,670
here in the square root of three and the square root of five.

106
00:07:24,840 --> 00:07:26,560
Same thing for the standard deviation.

107
00:07:26,670 --> 00:07:31,230
So basically what it will do, it will calculate the standard deviation of all the numbers and give

108
00:07:31,230 --> 00:07:32,520
you just one answer.

109
00:07:32,820 --> 00:07:36,220
So basically this is going to be tested.

110
00:07:36,810 --> 00:07:39,260
So if you run the app, it's going to be a bit different.

111
00:07:39,270 --> 00:07:40,800
It's going to give you just one number.

112
00:07:40,830 --> 00:07:43,960
So basically the standard deviation, all the numbers right here.

113
00:07:44,220 --> 00:07:48,070
So we talked a little bit about standard deviation in the statistical part.

114
00:07:48,360 --> 00:07:53,250
So if you guys are interested to know exactly what is the standard deviation, you can just make a research

115
00:07:53,250 --> 00:07:53,430
on it.

116
00:07:53,700 --> 00:07:58,800
But to run a standard deviation operation, it's pretty simple, simply.

117
00:07:58,800 --> 00:07:59,070
Right.

118
00:08:00,060 --> 00:08:01,390
And it will work.

119
00:08:01,420 --> 00:08:07,410
Same thing for the square root function could be really useful, for example, for the standard deviation.

120
00:08:07,440 --> 00:08:08,790
Could be really, really useful.

121
00:08:09,150 --> 00:08:14,760
If, for example, you want to compare a number to, for example, demeanor, the average, or if,

122
00:08:14,760 --> 00:08:20,070
for example, you want to calculate, I don't know, let's say the volatility of something, if something

123
00:08:20,070 --> 00:08:25,110
is really volatile or not volatile at all, if there is a big difference between the numbers between

124
00:08:25,110 --> 00:08:26,040
them or no.

125
00:08:27,060 --> 00:08:29,020
So this is for this part of the course.

126
00:08:29,050 --> 00:08:33,020
So right now, you guys know a few operations of numbers.

127
00:08:33,090 --> 00:08:38,090
There is a lot more other operations that exists, but those ones form the basis.

128
00:08:38,640 --> 00:08:41,370
So let's address those guys and see in our next.