WEBVTT 00:01.050 --> 00:07.950 Hello from Molly would begin with the next module, which is data handling with Python in this module, 00:08.040 --> 00:14.250 we will discuss data handling with Python and the discussion will be immediately around two packages, 00:14.250 --> 00:15.900 which is number by and Fondas. 00:16.440 --> 00:22.050 After learning about numbers Fondas, we would move towards data visualization. 00:22.380 --> 00:26.370 But the main concept here is not by and Fondas. 00:26.740 --> 00:33.300 Mambi is the original package in Python, which was designed to work with multi-dimensional eddies. 00:33.600 --> 00:37.830 So this eventually enables us to work with the data files. 00:38.220 --> 00:45.180 But Fondas is a high level package which is written on top of mumfie, which makes the syntax much more 00:45.180 --> 00:52.140 easier so we can focus on the logic of data handling process rather than getting behind how the syntax 00:52.140 --> 00:53.190 is written in numbers. 00:53.670 --> 01:00.960 So it is good to learn number, but while working with data handling, we would be majorly using Fondas 01:00.960 --> 01:01.490 library. 01:01.710 --> 01:08.760 So it is good to know no by initially so that you know what is going behind and how data looks behind. 01:10.420 --> 01:19.060 So we will begin with no initially, so let's go ahead with it, let's begin with number. 01:20.580 --> 01:28.930 So far, no, this is the documentation which is available it is available right now by dot org. 01:29.430 --> 01:34.670 So it has all the details about the pilot. 01:36.420 --> 01:45.210 It has the basics, how it is are created, how indexing and slicing is done, and how we can handle 01:45.210 --> 01:53.040 different multidimensional eddies and how we can change them, reshape them, how we can create them. 01:53.250 --> 01:59.130 All of the information has been provided here, but we will not be going very in-depth in this. 01:59.130 --> 02:06.990 We will be directly digging in into the main concept and the main functions which are provided by the 02:07.440 --> 02:08.010 library. 02:09.640 --> 02:15.500 So to begin with, the number three stands for numerical fighting. 02:15.880 --> 02:20.670 So it is a liability which is consisting of multi-dimensional aerial objects. 02:20.980 --> 02:29.260 So we will be working with multidimensional areas here and we will be using Mumfie and the mathematical 02:29.260 --> 02:32.590 and logical operations on it is so we would be learning. 02:34.210 --> 02:41.670 So to begin with, the first thing which we will be doing is we will be importing the number like. 02:43.450 --> 02:49.000 So while we begin by labeling both, so the first thing is to write in both. 02:54.150 --> 03:05.280 So we will write import import is to get a particular library in our current working workspace, so 03:05.490 --> 03:07.660 the library name is No. 03:08.610 --> 03:11.210 And we want to provide an alias name. 03:11.400 --> 03:15.200 So usually what happens is that we do import numbers. 03:15.210 --> 03:21.390 And then each time I want to run a specific function, I will have to write something like Mumfie, 03:21.940 --> 03:24.330 not random. 03:25.390 --> 03:27.310 Don't random. 03:30.050 --> 03:31.710 And then I'll have to run this. 03:31.730 --> 03:37.880 So this will give me some random number, but every time I'm writing this entire number, I may not 03:37.880 --> 03:41.860 be much feasible and we want something we can short. 03:42.080 --> 03:47.990 So what we do is we create an alias name and we see nubby as a.. 03:47.990 --> 03:49.920 Which is kind of a standard right now. 03:50.240 --> 03:54.550 So we will instead of number, we will write in an. 03:56.500 --> 04:03.730 Once we run the first line and this one, so it will generate the function, it will run the function 04:03.730 --> 04:05.410 using this particular areas. 04:05.770 --> 04:09.560 Now let us learn about different functions which are available with no. 04:09.820 --> 04:16.540 So the very first function which is available is to generate random numbers so we can generate random 04:16.540 --> 04:23.590 numbers using them by using ENPI, not random, random, random is the function name, which gives us 04:23.590 --> 04:25.110 the random numbers. 04:25.570 --> 04:30.730 So each time I run this particular piece of code, it will give me a new random number. 04:31.720 --> 04:32.800 Now let's see. 04:33.010 --> 04:39.520 I do want to generate random number, but I want to generate the random number again. 04:39.910 --> 04:48.520 So I have generated one random number and I've used it for some calculation and I want to just perform 04:48.520 --> 04:49.450 the entire thing. 04:49.450 --> 04:56.470 I want to do this thing again in front of my project team or anyone in the team. 04:56.680 --> 04:59.550 So what I can do, I want to fix this randomness. 04:59.680 --> 05:01.660 So what I can do is I can create a. 05:02.350 --> 05:05.830 So how do we create the scene we see in the random. 05:06.940 --> 05:07.570 Doc. 05:08.680 --> 05:09.310 Sede. 05:10.210 --> 05:14.600 And inside that, we can give any number, any number. 05:14.620 --> 05:22.570 It can be it can be 800 any number you can give any number in the seat and this seat will decide what 05:22.570 --> 05:23.740 number would be generated. 05:23.900 --> 05:32.340 And this statement has to be just before the random number generation. 05:32.350 --> 05:34.470 Otherwise the random generation would not work. 05:34.930 --> 05:39.010 So if I write it this way, it will generate this random number. 05:39.010 --> 05:44.260 And if I run this again and again every time we will run the same, give me the same number. 05:44.270 --> 05:48.060 So if I just change the number to thirty five, it will give another number. 05:48.070 --> 05:53.110 But this random number will be fixed on the basis of the number which I'm giving in the seat. 05:54.290 --> 05:57.080 In case I give any of those statements. 05:58.840 --> 06:01.040 Brand gap. 06:01.780 --> 06:14.260 So what happens is it still runs this, so each random number will be based on this scene, so it'll 06:14.260 --> 06:16.070 just do the same thing for you. 06:16.660 --> 06:21.190 OK, now if I generate on the random number after this. 06:25.700 --> 06:27.350 And let me bring up this one. 06:40.470 --> 06:46.680 So you can see you can fix the random numbers like this, the next thing which we have is. 06:49.610 --> 06:56.290 We can have different mathematical functions, so let us see, we have this random number generation 06:56.510 --> 06:58.060 now, it has more to work. 06:58.280 --> 07:05.420 So in case I want to generate a specific number of values, then I can give those here. 07:05.440 --> 07:10.480 So initially, when I did not give anything by default, the argument was one to one number was generated. 07:10.700 --> 07:11.840 I can give four. 07:12.440 --> 07:18.350 So four numbers would be generated if I give say forty one or let's say. 07:20.140 --> 07:28.390 Twelve, twelve numbers would be generated and one thing to note here is that all of these random numbers 07:28.390 --> 07:30.790 are ranging from zero to one. 07:32.170 --> 07:35.200 All these numbers are between zero and one. 07:36.860 --> 07:43.790 Now, next thing what we can do is if we want to upend these random numbers, let's say so let us do 07:43.790 --> 07:50.600 one thing, let me create a number X and put these numbers in front of it and. 07:52.370 --> 07:56.310 Let me explain you, I'm looking to create another. 07:58.890 --> 08:09.030 Everybody and this area I'm doing and be dolled up and so what up end does here is it will upend the 08:09.030 --> 08:13.650 new numbers generated in front of the X, so I'll give. 08:15.720 --> 08:24.960 X and I'll give what I want to append in front of this, so I want to open more numbers, see, I want 08:24.960 --> 08:28.350 to open just five new numbers. 08:31.240 --> 08:32.840 And I'll print Y for you. 08:33.280 --> 08:37.780 So here you can see the numbers from zero two. 08:38.140 --> 08:41.140 This one remained the same while after this. 08:41.320 --> 08:46.610 The five new numbers have been generated and upended in front of this. 08:46.870 --> 08:48.790 So this is what a bank does. 08:49.150 --> 08:53.970 It is a little different from the up end, which we were using in the final list. 08:54.280 --> 09:03.730 So when we used a pen in case of list, it used to add the new numbers generated or the whatever values 09:03.730 --> 09:04.030 we were. 09:04.030 --> 09:12.200 Depending on a single index back here, it would not happen that they will simply walk like extend how 09:12.230 --> 09:13.270 we used to work. 09:13.450 --> 09:17.940 It will just add new indexes and I've each value in the new indexes. 09:18.130 --> 09:22.510 So this append is a different from the list in the list up. 09:22.520 --> 09:25.450 And so just don't confuse between them. 09:27.060 --> 09:35.500 The next thing which we have is run numbers, and so we have learned how to generate one random number. 09:35.730 --> 09:42.990 We have learned how to generate random of a list of random numbers in any random numbers. 09:43.170 --> 09:46.580 So here we have generated random numbers here. 09:46.590 --> 09:49.240 We have upended the random numbers in front of these. 09:49.530 --> 09:53.190 Now, let us say we want to generate only a specific type of number. 09:53.340 --> 09:58.520 So let's say I want to generate, say, on the zeros. 09:58.530 --> 10:06.100 So what I can do is I can simply write and be Dawid zeros and it will generate the number of zeros which 10:06.100 --> 10:06.450 you want. 10:06.480 --> 10:10.710 So if you want 10 zeros, it will just generate zeros for you. 10:12.540 --> 10:14.230 So it generated 10 zeroes. 10:14.460 --> 10:22.540 Now, if you see these are floating point numbers, these zeros are floating point in nature. 10:22.740 --> 10:30.300 So if we want to change the type of this, what we can do is we can add another argument in front of 10:30.930 --> 10:34.350 that argument for the type. 10:36.690 --> 10:38.970 Is he could do anything, Dot. 10:40.240 --> 10:48.220 And so this way you will get the individual numbers, similarly, what we can do is we can have. 10:49.120 --> 10:52.520 Instead of Zardoz, let's see, we want to have one's. 10:58.010 --> 11:04.380 So we can generate plans like this, another thing, what we can do is this what we have generated is 11:04.380 --> 11:07.670 the one being it is only a one direction and 80. 11:07.850 --> 11:12.920 So in case you want to generate multidimensional eddies, we can simply give the same thing. 11:13.460 --> 11:17.890 And instead of giving this, we will give the size of the adding a couple of them. 11:18.170 --> 11:22.310 So this is my capital and this could be saved and come up five. 11:23.550 --> 11:30.780 So this will give me then cross 580 in case I want to have something is. 11:33.080 --> 11:34.910 See ones all. 11:37.400 --> 11:38.120 Sorry. 11:43.440 --> 11:54.390 See, do you think I'm a fool so I get to cross three rows for this and it would be generated? 11:55.970 --> 12:02.030 Now, another thing, what we can do is in case we want to generate something with the empty values 12:02.030 --> 12:04.320 or garbage values that is also available. 12:04.610 --> 12:08.950 So in that case, we can simply write empty. 12:09.800 --> 12:12.580 So it will just generate empty values. 12:13.190 --> 12:16.220 Apart from that, what we can do is. 12:17.520 --> 12:27.780 We can also generate some numbers in a sequential form, so what we can do is we can maybe get rid of 12:27.780 --> 12:34.110 this for now and we can generate numbers using a range. 12:36.460 --> 12:41.050 So any change is somewhat similar to range, which we used in. 12:42.280 --> 12:44.110 So what did Range give us? 12:44.110 --> 12:50.150 Range used to give us the number of values from zero to whatever number we're writing here. 12:50.170 --> 12:55.530 So in case I'm giving then so it will give something like this to me. 12:55.780 --> 13:01.050 And in case, let us say, let's change this a little bit, let's try a few variants of this. 13:01.600 --> 13:08.050 So if we want to get values from C instead of I don't want to begin from zero, I want to begin from 13:08.050 --> 13:10.840 five, then I can give five, comma 10. 13:11.260 --> 13:15.240 So in that case, I get values from five to ten minus one. 13:15.580 --> 13:18.040 The next thing what I can try is I can keep. 13:19.310 --> 13:29.150 See, I want you to have numbers from five to 50, and I want to skip five numbers and Beddawi so I 13:29.150 --> 13:30.150 can do it this way. 13:30.440 --> 13:34.160 Now, another thing which I have here is I can reshape this. 13:34.370 --> 13:42.140 What I am generating using it is a one deti so I can not only specify the other dimensions here of the 13:42.180 --> 13:42.790 any here. 13:42.920 --> 13:46.340 So what I can do is I can simply use a dot reshape. 13:48.160 --> 13:53.260 And this door to the sheep will be able to change the dimensions of it. 13:53.530 --> 13:56.350 Now, if you see we have three. 13:58.030 --> 14:04.450 Six, nine values, so that means I can have something like three comma three here. 14:05.520 --> 14:11.760 So I can create a TV commentary out of this, but in case you want to create something which is. 14:13.260 --> 14:20.100 Not exactly the number of values which we have, you know, to say we need to treat it gives in it. 14:21.360 --> 14:23.180 It is saving the Creative Commons. 14:23.730 --> 14:31.140 It will again give error because the number of ideas generated using this inch function does not suffice 14:31.380 --> 14:34.740 the volumes required for this particular issue. 14:34.980 --> 14:41.490 So this is one thing that you need to take care of by using the eatings function on other functions, 14:41.490 --> 14:43.080 which we have are. 14:44.490 --> 14:52.930 Oh, let's see, we have what else we can do out of this, so we have this we have with Ricci, we can 14:52.930 --> 14:55.120 also do one more thing. 14:55.420 --> 15:02.520 We can use a little space now trying to understand the difference between eating and living space here. 15:02.830 --> 15:04.640 So let me write it down for you. 15:04.840 --> 15:06.540 So when we have eating's. 15:09.530 --> 15:14.930 OK, and when we have mindspace. 15:17.070 --> 15:23.820 So in case of orange, we provide the starting point. 15:25.240 --> 15:27.340 The ending point. 15:28.290 --> 15:36.030 And we provide the steps, right, so because we provide these values. 15:38.880 --> 15:52.320 So it automatically finds out the number of values to be. 15:54.090 --> 16:03.000 Generated line in case of mindspace, what we do is we provide the starting point and we provide the 16:03.000 --> 16:03.750 ending point. 16:03.830 --> 16:06.000 So these are the common things which we are providing. 16:08.170 --> 16:12.820 Apart from that, what we provide is we provide the number of lives you want. 16:17.780 --> 16:22.460 OK, so what happens is in this case, it finds out. 16:31.840 --> 16:38.590 OK, so this is the difference between eating in space that in case of eating, we provide the stopping 16:38.590 --> 16:41.820 point, the ending point and the step between one. 16:42.130 --> 16:47.410 And in case of space, we provide the starting point, ending point and the number of values which we 16:47.410 --> 16:52.120 want now, because in case of eating, we have the number of steps. 16:52.390 --> 16:57.370 So it has to find, though, the number of values it need to generate automatically. 16:57.370 --> 17:02.590 So it will automatically find out how many values we need to generate based on the steps which we are 17:02.590 --> 17:08.980 provided by in case of mindspace, because we have provided the number of values which you want. 17:09.280 --> 17:12.930 So now it will find out the steps which would be required. 17:13.150 --> 17:16.070 So it's like the only thing in it. 17:16.100 --> 17:21.190 And we provide the steps and in case of space, we provide the number of values which you want to generate. 17:22.490 --> 17:30.080 OK, now let's try to generate a few numbers out of this so what we can do is we can simply say in the 17:30.080 --> 17:35.970 dot space and we can provide the starting point and ending point. 17:36.020 --> 17:41.960 Let us say I want to start from one and I want to go to say seven. 17:42.170 --> 17:46.940 And the step which I want to know the number of values which I want to have is. 17:48.170 --> 17:49.010 Let us say. 17:51.340 --> 17:56.890 Let us say we want to have five values in between this, which is kind of odd, but let's try this. 17:57.100 --> 17:58.000 So it. 17:59.800 --> 18:05.110 Generates values like one two point five four five point five seven. 18:05.440 --> 18:14.380 Now one more thing to notice here is that in case of an age when we provide the starting point and the 18:14.380 --> 18:18.430 ending point, this ending point is not included. 18:18.700 --> 18:22.950 So the numbers which would be generated, which will not have this ending point. 18:23.470 --> 18:23.890 Right. 18:24.100 --> 18:27.860 But in case of mindspace, the ending point is inclusive. 18:28.120 --> 18:30.340 So one more point, which we can add here is. 18:32.450 --> 18:33.530 So this is. 18:36.530 --> 18:37.400 No. 18:40.170 --> 18:41.810 Ending point. 18:44.190 --> 18:46.620 Is not inclusive. 18:48.790 --> 18:49.960 And in this one. 18:51.740 --> 18:55.850 Ending point is inclusive. 18:56.920 --> 19:03.310 Right now, another thing which we have here is in case you don't want to include this ending point 19:03.310 --> 19:08.330 here, in case we don't want the seven to be counted, we wanted to work somewhat like eating. 19:09.630 --> 19:11.970 So we can provide and point. 19:14.140 --> 19:16.140 I voted for. 19:18.110 --> 19:20.420 So now the number generated will not have the. 19:21.450 --> 19:22.460 And going for it. 19:22.840 --> 19:26.090 OK, so let me kind of copy this and. 19:27.640 --> 19:31.260 The second I show you the difference, you OK? 19:31.670 --> 19:37.250 Now another thing, what we have in case of mindspace is we can also return the step function. 19:37.580 --> 19:41.090 So what I can do is I can simply write, read, step. 19:42.730 --> 19:51.250 And I will make it as true, so it will reduce the number of steps, so the step value is of one point 19:51.250 --> 19:51.490 to. 19:52.560 --> 19:59.670 Which is right, point 2.0, minus one is one, point two, which is the stamp value, which it has 19:59.670 --> 20:00.230 considered. 20:01.020 --> 20:08.370 So this is what we can do using of these functions on a function which we have is we can apply a different 20:08.370 --> 20:10.200 mathematical operations also. 20:11.580 --> 20:20.160 So let us see, we have some numbers they've got to let us see nine. 20:20.370 --> 20:21.990 So what I can do is. 20:23.850 --> 20:26.640 For example, tonight I can find out. 20:28.920 --> 20:29.330 Ruth. 20:30.700 --> 20:31.600 Is equal to. 20:33.050 --> 20:41.390 And B is you, Artie, which stands for a square root and I got an X and say this and I'll just print 20:41.930 --> 20:42.890 it for you. 20:43.800 --> 20:46.140 So this is three, right? 20:46.380 --> 20:52.800 Similarly, if you want to find out the power, we can simply say power is equal to. 20:53.950 --> 20:57.240 And they don't bother. 20:58.390 --> 21:04.920 And then we can give some numbers, say, let's say again, let us give Exxon your let us give three 21:05.440 --> 21:07.540 and we want to raise it to the. 21:08.430 --> 21:10.080 Flavor of sea. 21:11.120 --> 21:21.010 Three again, so or let us for two for convenience and in info, so it gives us nine. 21:21.020 --> 21:27.380 So it means that Victor is raising three to the power and it simply finding on the square root of nine 21:27.380 --> 21:27.720 here. 21:28.070 --> 21:30.080 So this is something which we can do. 21:30.500 --> 21:31.960 Apart from these. 21:32.300 --> 21:37.550 There are a few things also which we can do like we can. 21:39.240 --> 21:47.670 Three, eight it is, and we can slice them and we can read them, so let us do one thing, let us generate 21:47.670 --> 21:48.870 a few more is. 21:49.920 --> 21:53.960 So let us create one for now. 21:55.380 --> 21:56.040 So. 21:57.290 --> 21:59.150 Let this creep and Eddie. 22:01.440 --> 22:07.110 So for creating an ad agency is equal to and B dot. 22:08.230 --> 22:14.710 Every answer, you give it enough sound foundations and then we start the rectangular. 22:15.670 --> 22:22.220 Now, when we give this rectangular braces, this means that we are giving the dimensions to it. 22:22.570 --> 22:24.470 OK, this is like the fourth dimension. 22:24.730 --> 22:29.970 So in the fourth dimension, I can add any number of values so I can add one, one, two, three, four, 22:30.310 --> 22:31.090 anything I can. 22:31.600 --> 22:34.390 So this is my area which has been created. 22:34.390 --> 22:35.560 I'll print it for you. 22:35.860 --> 22:38.260 So this is my area which has been generated. 22:38.500 --> 22:45.100 Now, in case I want to find out of the size and the dimensions of the area, what I can do is I can 22:45.100 --> 22:48.140 send a dot and. 22:50.770 --> 22:57.160 So it gives me the dimensions, so this means that this particular area is having the dimension one. 22:57.320 --> 22:58.800 So this is I one theory. 22:59.180 --> 23:04.690 OK, I'm the find out the shape also so I can see and shape. 23:07.130 --> 23:09.350 So this is for something. 23:09.380 --> 23:12.470 So this is basically up for values inside. 23:13.370 --> 23:15.470 Now, another thing, what we can do is. 23:16.830 --> 23:18.640 We can generate multiple dimensions. 23:18.660 --> 23:22.850 It is so what we can do is let us copy this again. 23:24.190 --> 23:25.480 And for the Tiel. 23:27.180 --> 23:30.220 OK, and let's do one thing, let's bring. 23:31.400 --> 23:35.840 He and his friend in the also. 23:46.030 --> 23:49.720 And we will bring this shape also. 23:53.360 --> 24:00.040 OK, so let us add more dimensions to it, so let us do one thing I just created to do it. 24:00.530 --> 24:02.170 So what are two plus two, Eddie? 24:02.180 --> 24:05.930 What we will have is we will have two dimensions. 24:06.110 --> 24:08.600 So this will be like fourth dimension. 24:08.600 --> 24:10.610 And inside this, I have another dimension. 24:11.030 --> 24:14.890 OK, now we will have a that is generated this way. 24:14.900 --> 24:17.200 OK, so it will be like this. 24:18.440 --> 24:20.210 So something like this would be the. 24:21.880 --> 24:25.540 And it will be comma separated and it will have. 24:27.810 --> 24:28.620 Another. 24:29.640 --> 24:30.810 Something like this. 24:36.560 --> 24:40.640 Now, does this look like an idiot to you? 24:42.500 --> 24:52.280 Just try to consider this, we will have some number one or two here and we have another number one 24:52.280 --> 24:53.120 for Montoyo. 24:56.910 --> 25:00.000 Now, let us run this. 25:01.560 --> 25:03.770 So here I have this eerie. 25:07.930 --> 25:16.890 Two rows and two columns, so what did I do here is initially I had only one rectangular braces, OK, 25:17.170 --> 25:23.940 now in this case I have to take mangler braces, which means that now I will have two dimensions. 25:24.580 --> 25:33.610 OK, when I start with the fourth dimension, this fourth dimension has two rows in it which are again 25:33.610 --> 25:36.220 depicted by one rectangular braces. 25:37.160 --> 25:45.500 So each role is depicted by one rectangular Brisas and it is separated by comma, and each column inside 25:45.500 --> 25:49.660 the room is again separated by OK. 25:50.090 --> 25:54.430 Now, what we can do is now let us try a few more variants. 25:54.770 --> 25:59.060 Now, what else we can do is instead of having a truly very sorry. 26:01.360 --> 26:03.850 Let us generate a 3-D video. 26:05.680 --> 26:08.200 Now, let me do one thing, let me add another. 26:09.840 --> 26:10.780 They mentioned it. 26:10.980 --> 26:15.280 So this is two plus three right now. 26:15.300 --> 26:17.070 I want to have one more damage. 26:17.490 --> 26:23.490 OK, so when I want to add one more dimension, this means that I will want to have. 26:25.960 --> 26:27.370 One more of this thing. 26:30.380 --> 26:32.810 So what I'll do is I'll read up on my here. 26:34.240 --> 26:37.950 And after coma, I will put the same thing again. 26:42.880 --> 26:43.840 So. 26:45.570 --> 26:47.280 Now we will have. 26:55.570 --> 26:58.960 We will have three brackets for three dimensions. 27:59.120 --> 28:07.670 Now, consider this, this is the fourth dimension, the fourth dimension has one in depth, and after 28:07.670 --> 28:14.060 that, when we go into this first break inside this, I have two entities. 28:14.360 --> 28:14.750 One. 28:16.220 --> 28:22.340 And these are doing so now, the dimension becomes one. 28:25.780 --> 28:34.680 Do I say this to what I have is I have again, so let me run this. 28:36.550 --> 28:37.300 So we have. 28:44.050 --> 28:52.510 Two, which is the rules, and inside this, I have only three columns, so this becomes three. 28:53.140 --> 29:00.310 So this is do comma two or three, which means that in the first record I have to matrices. 29:04.510 --> 29:14.090 I'm these two matrices internally have three matrix, so I have two matrices of two, three, eight. 29:14.210 --> 29:15.440 So this is what this means. 29:15.670 --> 29:18.850 So you can try a few more variants of this entire thing. 29:21.540 --> 29:29.220 Now, another thing, what we can create is this is one way of creating it is now another way of creating 29:29.220 --> 29:29.400 it. 29:29.400 --> 29:35.080 It would be if you want to create the identity, which is again used very, Heidi, so we can see why 29:35.610 --> 29:40.160 is equal to and B dot identity. 29:41.130 --> 29:49.950 And we can simply give the dimension of it now because the identity is of having the same dimensions 29:49.950 --> 29:51.720 on the in both roles. 29:51.720 --> 29:57.180 And so we can just give one value leg instead of giving five cross five, we can simply give five. 29:58.460 --> 30:01.800 OK, so this is what it would generate. 30:01.840 --> 30:04.550 So this is a five plus five identity matrix. 30:04.790 --> 30:12.560 Now, in case we want to multiply this by any number we can do that we can give buy into do so, it 30:12.560 --> 30:14.180 will multiply all the values by two. 30:16.910 --> 30:23.540 In case we want to generate in theory, using randoms, you can do something like. 30:25.040 --> 30:26.220 And the don't. 30:28.760 --> 30:29.570 Vandam. 30:30.600 --> 30:31.980 Not random. 30:35.190 --> 30:44.130 So we saw that to begin with, one number like this weekend weekend generate through DNA using this 30:44.610 --> 30:46.530 just has to be given in a double form. 30:52.950 --> 30:53.720 Just on. 30:55.390 --> 30:59.060 Now, this has to be given up before now I can. 31:00.000 --> 31:08.630 Increase the dimensions and can do anything like this, so this is what we can do, apart from that, 31:09.150 --> 31:13.090 we have learned about the ship also. 31:13.440 --> 31:17.490 Now let us see if you want to do some kind of slicing. 31:17.910 --> 31:20.770 So let me create another eddy. 31:21.420 --> 31:23.480 So let see in the dark. 31:25.680 --> 31:30.210 And Ange and let me just read what Cathy. 31:31.420 --> 31:36.490 And in this 30, I can have thought the shape. 31:37.500 --> 31:39.120 And I can give. 31:46.770 --> 31:47.570 For. 31:48.890 --> 31:50.930 Or five Gomaa. 31:51.870 --> 31:52.970 Three, former two. 31:57.200 --> 31:58.610 Or let us give. 31:59.840 --> 32:01.540 Three, four, five. 32:14.760 --> 32:16.600 So we have invaded this area. 32:17.100 --> 32:23.370 Now, what we can do is if we want to achieve some particular value from this, so what we can do is. 32:24.960 --> 32:27.090 So let us name this as X. 32:30.060 --> 32:31.440 Let me print X. 32:32.700 --> 32:38.700 Now, from this experience, again, appli slicing on top of this, so how do we apply slicing weekend 32:38.700 --> 32:44.730 some eggs and let us this so let us try to get you out of this. 32:45.150 --> 32:50.520 So when we get to we get the second matrix from this. 32:51.990 --> 33:00.690 You notice the shape is three to five, so from the first dimension, it picks out the second and makes 33:00.930 --> 33:01.300 eight. 33:01.350 --> 33:05.610 So we get to hear if we want to get, let's say something like. 33:08.010 --> 33:09.800 Zero to two. 33:10.790 --> 33:17.760 Being get like this, so this will give zero, one and two is always kept in case of slicing. 33:18.320 --> 33:24.550 If you want to get all of these, then we can do it this way so it will get all the values out of this. 33:24.890 --> 33:27.150 Now, I the thing what we can do is let us see. 33:27.180 --> 33:33.740 We want to get these two values so we can see one, two on. 33:34.970 --> 33:41.150 And from the second index, so let us first get this much. 33:43.010 --> 33:47.970 This is what we got now from the second index, let us see, I want to get. 33:49.260 --> 33:56.750 These alternate values, I want to get 11, 16, 14, 18, 21, 26, 23, 28. 33:57.030 --> 34:02.970 So what we are trying to get here is from each role, I want to retrieve the. 34:04.340 --> 34:05.570 Second. 34:06.450 --> 34:11.430 And the fourth column, so the index would be one. 34:15.420 --> 34:22.670 Now, let us further try to modify this, so let us see what we can do. 34:23.130 --> 34:29.690 So if we try to get values from zero to the end, it gives us the same response. 34:30.000 --> 34:32.420 Now, we've won the first value to be in heaven. 34:32.670 --> 34:34.560 So instead of zero with one. 34:41.330 --> 34:45.470 Now, if you see this has figured out the rules. 34:49.370 --> 34:52.830 Which means that it will pointed out that Rossmo. 34:54.620 --> 35:02.270 So if you consider what it is doing is let's get all the bad news so it goes to the first. 35:04.140 --> 35:10.740 And some people, as I mention it, some of the volumes now, because we wanted these two brackets to 35:10.740 --> 35:17.430 be considered, these two is the first index and the second index to be considered, that is they need 35:17.430 --> 35:19.110 to get from one through to the end. 35:20.080 --> 35:23.250 Now, this bracket has already been taken below. 35:23.520 --> 35:25.100 So this is what this supposed to. 35:25.950 --> 35:28.390 So now what we do is we get to the second. 35:29.280 --> 35:36.630 Now, what the second bracket gives us is the second bracket, again, has the rules, which means that 35:36.720 --> 35:43.920 this particular golden rule for the rules now legacy, we don't want all the rules, but we want only 35:43.920 --> 35:46.300 the second rule to come up. 35:46.980 --> 35:49.860 So what we can do is we can simply give. 35:52.340 --> 35:52.930 Do you? 35:54.610 --> 35:56.920 So it's not giving any value. 35:58.040 --> 36:01.730 So it gives the host the second index. 36:02.690 --> 36:08.770 Right now, we want to obtain 16 from this and 18 from this. 36:09.110 --> 36:12.910 So what we will do now, we are going for the volume level. 36:13.550 --> 36:15.060 So this is the next level. 36:15.080 --> 36:16.440 So we call my here. 36:16.850 --> 36:17.450 So now. 36:18.700 --> 36:27.730 We won the Boston Nicks event, and then we wanted in the end, but we want a step function all now, 36:27.770 --> 36:29.100 let's all get the step function. 36:29.290 --> 36:30.410 Let's go this way. 36:30.700 --> 36:31.560 Let's run this. 36:31.660 --> 36:37.420 So we get from 16 to 19 now, but we don't want 16 to 19. 36:37.420 --> 36:39.040 We want only 16 and 18. 36:39.280 --> 36:43.320 So now we can put a step function in front of this by adding Apollon again. 36:43.600 --> 36:45.340 So we put step function school. 36:45.670 --> 36:49.080 So now it will give us 16, 18, 26 and 28. 36:49.510 --> 36:54.790 So similarly, you can try different combinations and try and. 36:57.090 --> 37:00.930 Now, let us try to do some more changes. 37:01.940 --> 37:07.070 Now, in case we want to get that out on this particular condition. 37:07.880 --> 37:10.250 OK, so let us try to do one thing. 37:10.490 --> 37:13.220 Let's find out what is. 37:14.210 --> 37:14.890 It's. 37:16.450 --> 37:17.770 More so. 37:18.820 --> 37:26.680 OK, we are making X Montu, and we are checking with empathies equivalent of zero, so this redounds 37:27.250 --> 37:28.180 these values. 37:28.810 --> 37:33.100 So we are getting to drill to drill, too. 37:33.340 --> 37:37.480 So if you see all of these values, I was able to. 37:38.880 --> 37:40.980 So we are simply getting the even values out. 37:41.730 --> 37:45.070 So I'm just figuring out so right now it is just a condition. 37:45.780 --> 37:50.170 Now I want to apply this condition on my Indian. 37:50.880 --> 37:58.550 So what I do, I simply say X and inside the braces, I will put this condition. 37:59.190 --> 38:02.880 So I will send people this condition inside this braces. 38:04.620 --> 38:07.260 And when I run this, I will get all the. 38:08.530 --> 38:13.750 Even values now on top of this, I can apply the ship in case I want that. 38:14.170 --> 38:15.220 So that is how we will. 38:16.810 --> 38:21.520 Now, the next thing what we can do is we can again apply different combinations. 38:24.630 --> 38:32.790 Now, let us try to put in those photos, so let's try something else or let's say it's because then 38:33.360 --> 38:33.780 five. 38:36.450 --> 38:46.230 So we get all the values that I like put also give values greater than 15, I can apply something like. 38:48.950 --> 38:55.310 Although values could be like any kind of rule, that would be a place now for the we can try some more 38:55.310 --> 38:55.760 things. 38:56.790 --> 39:04.020 Like, we can add the values of a president and the entire thing, so before doing that, let alone 39:04.020 --> 39:06.720 the concept of access here. 39:08.140 --> 39:11.870 So let us say we want to find out standard deviation. 39:11.890 --> 39:18.040 Now we've learned about our we've learned about squid, so let's learn about standard deviation because 39:18.040 --> 39:22.630 it is again, less news so we can do something like. 39:24.740 --> 39:29.370 We can find out the standard deviation of X, so in the. 39:33.850 --> 39:40.090 It gives the standard deviation of things now in case we want to find out the standard deviation across 39:40.090 --> 39:43.120 a particular axis so we can do something like. 39:44.310 --> 39:45.420 Copy this entire thing. 39:46.430 --> 39:48.020 And we can simply say. 39:49.990 --> 39:50.740 Axis. 39:51.640 --> 39:52.630 Equal to zero. 39:54.210 --> 39:58.440 Which comes out of these values and let's see ENPI. 40:00.810 --> 40:04.650 And we say axis equals one. 40:06.320 --> 40:08.130 So it comes out to two point five. 40:08.780 --> 40:17.960 So what happens here is that for these values, the standard deviation is calculated on the basis of 40:17.960 --> 40:19.050 the axis values. 40:19.190 --> 40:23.390 For these values, we can find out the standard deviation. 40:23.420 --> 40:29.120 So the difference between these values, the maximum difference between these values is point five from 40:29.120 --> 40:29.480 the mean. 40:30.810 --> 40:40.370 Right now, if we compare with respect to the now this is on with respect to axis of Z. 40:42.870 --> 40:48.370 OK, so for Access Zettl, it is shaking at every level. 40:48.810 --> 40:52.080 So for every rule, it is checking the standard deviation. 40:52.080 --> 40:55.590 So standard deviation of this rule internally is. 41:02.510 --> 41:06.640 Standard deviation of these values is a standard deviation of these values. 41:07.580 --> 41:08.630 So for each. 41:10.580 --> 41:16.520 Follow the standard deviation is Jay, I'm going to go again, the standard deviation has been. 41:18.310 --> 41:24.700 Now, when we mean access equals zero, this means that we are checking on the rules. 41:26.650 --> 41:29.190 So we are working with E to. 41:30.700 --> 41:33.250 We are talking about combating Boodles. 41:34.600 --> 41:40.810 And when we are talking about X is equal to one, that means that we are comparing in the volumes. 41:41.230 --> 41:43.210 So we are comparing apples to apples. 41:43.240 --> 41:45.180 That is why it is coming to you. 41:45.550 --> 41:48.730 And here we are comparing across the rows. 41:49.570 --> 41:53.650 So it is coming us to eat something. 41:54.700 --> 42:00.330 The next thing what we can do is we can find out the sample and support these values. 42:00.340 --> 42:04.440 So in case you want to find those dimes, we can send in some. 42:04.930 --> 42:10.260 I know you just give the name of the Matrix. 42:10.540 --> 42:18.100 So this is the sum, if you want to find out the same across a particular axis, then we can do the 42:18.100 --> 42:23.610 same thing just for axis equal to zero. 42:24.030 --> 42:25.270 If you give the sum. 42:25.540 --> 42:27.730 If you put the axis equal to. 42:30.500 --> 42:35.840 When you give a body, Google X is equal to one, so these are a few things which we can do. 42:37.100 --> 42:44.090 Apart from that, there are a few more things like religion reading, although we will be walking with 42:44.090 --> 42:53.360 already the data, but in case we want to plead for so forth that we can use random choices again, 42:53.450 --> 42:54.520 the ever again. 42:54.710 --> 42:57.950 So what we can do here is we can do something like in the. 42:59.490 --> 43:01.310 Not random. 43:02.830 --> 43:03.270 Don. 43:04.520 --> 43:05.270 Joyce. 43:06.510 --> 43:14.800 And we can simply give the states or we want to get the values from X and I want to be selective in 43:14.820 --> 43:20.220 values randomly, so it gives me the values. 43:23.800 --> 43:30.790 Let's do one thing, another thing is like this has to be one theory so we can do something like we 43:30.790 --> 43:35.250 can create Excel or we can simply give an angel to you. 43:35.500 --> 43:37.650 So let's be the nearest being. 43:37.820 --> 43:44.340 The one here is equal to the dot range. 43:45.560 --> 43:51.320 And we give, say, happy values here, so I will randomly pick out values from these values. 43:51.590 --> 43:55.330 Now, let us say, instead of Ben, I'm giving just Ben here. 43:56.090 --> 44:03.070 So if I give them, it takes out then random values and you can see that the values are being repeated. 44:03.110 --> 44:03.380 You. 44:05.740 --> 44:07.870 Now, another thing, what we could do is. 44:08.930 --> 44:14.320 We can give five values also and take our values from five. 44:14.700 --> 44:18.200 Now one thing we can do is we can use replace here. 44:18.680 --> 44:24.890 Now, what replaces allows is that it will make sure that if we can replace values or not. 44:25.130 --> 44:31.250 So if we make the place equal to zero or false. 44:32.370 --> 44:38.160 So what happens is if they throw in it, it was throwing at error because we are giving only five numbers, 44:38.160 --> 44:42.990 then we are saying get the numbers out of these five numbers and go into the numbers. 44:43.140 --> 44:48.120 So that is something that we can all do so that we walk only if I give a boost in numbers to. 44:49.290 --> 44:56.480 So now it was in their numbers randomly, and it will not it will not repeat them until now in case 44:56.490 --> 45:03.030 I give lesson number and I want to make it basically, then this will not work. 45:03.040 --> 45:04.950 So if I make it to. 45:07.330 --> 45:13.210 By this is value, so it works like this, so you can play around with these values. 45:13.420 --> 45:15.370 Now, another thing, what we can do is. 45:17.050 --> 45:26.650 We can feed those values, which from which we want to see, I want to select from random values, so. 45:34.230 --> 45:41.580 So I'm making a choice here out of a list of, say, zero and one. 45:42.890 --> 45:46.640 And I want to select again such occurrences. 45:47.570 --> 45:53.030 So it gives me one zero and one so instead of zero and one, I can give you 10 points or also. 45:54.850 --> 45:57.400 Or I can give any values the. 46:00.580 --> 46:04.930 X and Y, so I can do that also. 46:05.200 --> 46:10.600 Now, one thing to make sure is that it will always try to give the probability it will be almost 50 46:10.600 --> 46:11.290 percent higher. 46:11.680 --> 46:16.000 So the probability of getting X and probability of getting Y would be equivalent. 46:18.140 --> 46:23.570 So no matter then how many valleys you get, if you get a values, also, the probability would remain 46:23.570 --> 46:23.960 the same. 46:24.650 --> 46:28.140 Now, what we can do is we can take this also. 46:28.370 --> 46:30.740 So let me get these values in. 46:32.400 --> 46:39.900 Why let us see, so I've got these values and why now I can check if the number of unique values so 46:39.900 --> 46:40.780 I see unique. 46:41.880 --> 46:48.480 And I will check the values envie, and I see that on. 46:51.620 --> 46:56.930 Count is equal to two, so now it will just reduce the count. 46:58.020 --> 46:59.940 So when I ran this. 47:04.170 --> 47:11.190 So it will give the balance of this so because we have a thousand values in lives or in most people's 47:11.190 --> 47:14.940 independence's, let's say if I give them thousand values. 47:16.290 --> 47:24.840 And this, again, it is even more and more the number of values we have, the more that it would get 47:24.840 --> 47:26.800 to that 50 nation. 47:29.420 --> 47:35.390 Now, another thing, what we can do is we can also give a particular probability to these. 47:36.850 --> 47:45.160 So I need ninety thousand views, and apart from that, I will give the probability and I will see I 47:45.160 --> 47:48.160 want the probability that we will do the same. 47:49.370 --> 47:50.510 Point seven. 47:54.660 --> 47:55.460 Whinfrey. 47:56.420 --> 48:00.540 And let us keep as many thousand. 48:02.460 --> 48:07.410 So let's run this on the let's run this also. 48:11.190 --> 48:17.460 So now you can see we've got the similar kind of facial, so these are around seven thousand twenty 48:17.460 --> 48:17.830 thousand. 48:17.860 --> 48:24.360 So the probability has been taken from this, what we have provided here in the last one so we can do 48:24.360 --> 48:25.260 these kind of things. 48:25.290 --> 48:31.530 Another thing what we can do is we can generate some random numbers, like let's say we want to generate 48:31.530 --> 48:39.810 some numbers in the door, random, not random and the individual. 48:39.810 --> 48:44.760 But you want to generate we want to receive the lower value to be. 48:46.580 --> 48:49.280 The theme and the higher value. 48:50.520 --> 48:53.400 Do we see on hundred? 48:54.570 --> 49:02.850 And we want to give some results also, we see size equal to. 49:05.630 --> 49:13.790 By phone lately, it's generally this policy matrix with lower value being 15 and higher value being. 49:14.510 --> 49:22.820 And if you write if you visualize this, then you will find out that these values are actually spread 49:22.820 --> 49:23.780 out equally. 49:23.960 --> 49:27.170 So there is this would be kind of an anomaly form. 49:27.230 --> 49:32.950 So the data would not be present in such a way that some values, no values would be higher. 49:32.950 --> 49:35.330 Higher values would be lesser in numbers. 49:35.360 --> 49:36.520 Nothing like that would happen. 49:36.540 --> 49:38.860 It would be a good spec of data. 49:39.200 --> 49:40.570 It will be spread ecovillage. 49:42.690 --> 49:48.850 So these are some of the functions which we can apply on UNCOMFY. 49:49.080 --> 49:57.760 So next, what we would learn is we would go about five dollars and we would work on a data set if possible. 49:58.050 --> 50:01.240 So let's go ahead with that in the next edition.