WEBVTT 00:01.110 --> 00:06.550 Hello and welcome back to our assessing about Victoria's thought element y's operations service. 00:06.600 --> 00:08.120 None pay a raise. 00:08.340 --> 00:15.620 And first of all let's create an NDA Ray from scratch with the function and peer daughter range and 00:15.670 --> 00:21.500 NDP dollar range creates an array with integers and we can define that beginning and ending point. 00:21.500 --> 00:27.380 So here we want to create an NDA array from one till eleven and it's by convention. 00:27.390 --> 00:33.210 That's the beginning point the starting point us including and ending point is excluding So this is 00:33.210 --> 00:41.990 very similar to the range function which we learned before so let's create the ending array and then 00:41.990 --> 00:43.000 you can see a name. 00:43.000 --> 00:47.270 P is not defined so first of all we have to import the manpower package. 00:47.270 --> 00:54.390 So by default the number of package is not imported and before I accept that we typically we import 00:54.390 --> 01:00.960 non pi S and P but yeah we do not have to make these abbreviations so we can also just say we want to 01:00.960 --> 01:08.550 import an umpire and still not works because we didn't define M Ps but what we can do we can just write 01:08.550 --> 01:09.260 out an umpire. 01:09.260 --> 01:16.500 So the function is an umpire daughter range and then it works. 01:16.500 --> 01:21.770 However the convention is to have an abbreviation so writing out always num PIs. 01:21.850 --> 01:24.770 But a bit too much work for most of us. 01:24.840 --> 01:32.220 So it makes definitely sense to have an abbreviation so important umpire as MP and then instead of having 01:32.220 --> 01:35.790 to write out num pay every time we can just write and P 01:38.840 --> 01:44.660 and they can see we have an umpire Ray from 1 until 10 including and what we can also do we can create 01:44.660 --> 01:52.730 an umpire Ray from one till eleven excluding all ten including and only every second number is created. 01:52.760 --> 01:55.150 So let's see how it works. 01:55.210 --> 02:00.110 They can see it starting from 1 We get only every second number to 10. 02:00.280 --> 02:05.360 So 1 3 5 7 9 so eleven is already excluded. 02:05.360 --> 02:10.850 All right so in this lesson I want to highlight the difference between lists and umpire race when it 02:10.850 --> 02:18.410 comes to element y's operations on first of all let's create a list L with four elements 1 2 3 and 4. 02:18.830 --> 02:27.560 And our intention is to to multiply each element by two and if try to not just calculate l times to 02:30.210 --> 02:33.410 and we do not get them the result we we actually intended. 02:33.430 --> 02:39.740 You only get two copies of concatenated and if you want to make element y's operations we have to use 02:39.740 --> 02:47.630 a for loop so we create an empty list and for element and l we have to multiply the element and appended 02:47.630 --> 02:56.710 to the new list L1 and then we can print out the one with the multiplied elements 2 4 6 and 8 and we 02:56.710 --> 02:59.790 also know that we cannot make an element y's addition. 02:59.800 --> 03:08.140 So if we want to add two to each element in the list and to then Python drops us an error message. 03:08.770 --> 03:17.080 All right so let's create an umpire Ray from 1 to 4 is 4 elements with the function NPI range 1 2 5 03:17.080 --> 03:24.940 5 excluding we get an array with the 1 2 3 FA and now if we want to make an element y's operation so 03:24.940 --> 03:31.620 we want to multiply each element by 2 we can do this simply by saying okay our ray times 2 and this 03:31.630 --> 03:39.580 gives us element y's operation so one must multiply by 2 2 was multiplied by 2 Three was multiplied 03:39.580 --> 03:46.180 by 2 and 4 was multiplied by 2 and they are we we didn't use any for loop or something it's just them 03:46.210 --> 03:54.130 so-called vector rise the scalar operation here and also we can add each element with two that's no 03:54.130 --> 03:59.110 problem and we can also square each element to the power of two. 04:00.310 --> 04:10.160 So 1 2 the power of 2 gives us 1 to 2 the power of 2 gives us 4 3 2 the power of 2 gives us 9 and 4 04:10.170 --> 04:17.900 2 the power to give the sixteen and our vector a an umpire Ray can also serve as an exponent so two 04:17.930 --> 04:27.470 to the power of a gives us a vector of four elements so two to the power one is two to the two the power 04:27.470 --> 04:35.150 of two gets for two to the power of three gas eight and two to the power of four gives us sixteen and 04:35.150 --> 04:43.400 we can also take the square root of each element of a and also we can make an exponential motion with 04:43.400 --> 04:47.020 the E so e to the power of a 04:50.570 --> 04:56.000 and we can also calculate the natural logarithm of all elements of a. 04:57.950 --> 05:03.910 Moreover we can also take the sum of all elements so one plus two plus three plus four. 05:03.920 --> 05:06.410 There are some in the array method that some 05:09.520 --> 05:11.450 now that actually three alternatives. 05:11.450 --> 05:19.910 To sum up all elements of our array so we can use the n the Array method that some we can use the name 05:19.910 --> 05:29.170 pi function and Pitot some and then in the brackets a and also we can use just the the sum function. 05:29.180 --> 05:30.690 So some A. 05:31.520 --> 05:38.640 This also works with lists gets also 10 and we can also calculate the number of elements and then ended 05:38.640 --> 05:48.620 array by applying the attribute size so a dot size gives us far and that's actually the same functionality 05:48.660 --> 05:51.170 than the length function which we already know. 05:52.100 --> 05:59.960 And let's create a new an umpire ray with the elements minus two minus 1 minus 0 point 5 0 1 2 three 05:59.960 --> 06:09.170 point five and assign the variable B and that's also the function end Pitot EPS and what MPD EPS does 06:09.210 --> 06:16.640 it's actually calculate the absolute values of all elements so you can see here we have negative numbers 06:16.670 --> 06:23.240 and these negative numbers are transformed to positive numbers to say so minus two is two minus one 06:23.240 --> 06:27.560 this one minus 0 point five is oh point five and so on. 06:28.160 --> 06:34.880 All right so let's create another array see with the elements minus one point seven minus one point 06:34.880 --> 06:44.810 five minus 0 point 2 and so on and that's the function in P that C and what NPD out C told us actually 06:44.870 --> 06:48.970 it element was rounding up all elements to the next higher integer. 06:49.010 --> 06:51.180 So let's see what we get here. 06:51.290 --> 06:57.710 So the next higher integer of minus one point seven is minus one and the next higher integer of minus 06:57.710 --> 07:05.390 one point five is minus one and so on and for example here the next higher integer of 0 point 2 is one 07:06.050 --> 07:13.390 that's also the possibility to have an element by rounding down with the function and P top floor. 07:14.200 --> 07:21.920 So with Episode 4 we element elementals round down all elements to the next lower integer minus one 07:21.920 --> 07:32.890 point seven gives minus two minus 0 point to guess minus 1 0 point to gives zero one point seven for 07:32.890 --> 07:40.520 example I one and we can also round all elements with a given number of decimals. 07:40.560 --> 07:48.940 So let's assume here we have an list with the minus three point two three minus open seven six. 07:48.960 --> 07:52.380 And now we can define how many decimals we want to have. 07:52.380 --> 07:57.440 And here we can define 1 so we can see here. 07:57.450 --> 08:05.180 Now we rounded minus three point two three two minus three point two one point four four to one point 08:05.180 --> 08:09.390 four and two point six five to two point six then we can. 08:09.390 --> 08:18.660 Now we can also increase the number of decimals to to and I can also say I don't want to have any decimals. 08:18.860 --> 08:19.720 Now you can see here. 08:19.750 --> 08:26.900 So we have minus three minus one 1 and 3 so NPR US has actually the same functionality as the round 08:26.900 --> 08:28.850 function as we already know. 08:28.850 --> 08:29.200 All right. 08:29.200 --> 08:34.640 So this is to for the time being in this session we learn back to rise or element y's operations with 08:34.640 --> 08:35.540 an umpire race. 08:35.540 --> 08:41.770 And this is quite easy and we don't need any for loops like with the pace and standard library. 08:41.780 --> 08:48.230 And the next lesson we learn about indexing and slicing num pi raise so hope to see you there and your 08:48.230 --> 08:48.900 next session. 08:48.900 --> 08:49.130 By.