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These are the user uploaded subtitles that are being translated: 1 00:00:00,600 --> 00:00:04,590 Hello everyone and welcome to the lecture on vector operations. 2 00:00:04,620 --> 00:00:10,440 Let's go ahead and jump to our studio and learn how to work with actors and some basic operations. 3 00:00:10,440 --> 00:00:15,750 OK so here we are our studio and what we're going to do is just perform some basic arithmetic with vectors 4 00:00:15,930 --> 00:00:20,060 and do some other operations just to show you how they work within our. 5 00:00:20,170 --> 00:00:24,300 So are going to go ahead and start off by creating two vectors. 6 00:00:24,300 --> 00:00:27,190 The first one is just going to be a numeric vector one to three. 7 00:00:27,210 --> 00:00:31,370 So use the combined function that see when to go ahead and aim at v1. 8 00:00:31,530 --> 00:00:33,570 And then I will assign the two. 9 00:00:33,640 --> 00:00:34,870 We're just going to say this once. 10 00:00:34,870 --> 00:00:36,320 Five six seven. 11 00:00:37,050 --> 00:00:37,390 OK. 12 00:00:37,410 --> 00:00:38,900 So I have my two vectors. 13 00:00:38,910 --> 00:00:41,310 Let's just go ahead and go over some basic arithmetic. 14 00:00:41,520 --> 00:00:46,670 So for basic arithmetic what you'll be doing is an element by element operation. 15 00:00:46,680 --> 00:00:53,190 And so what that means to say something like the one plus the two it's going to perform the operation 16 00:00:53,220 --> 00:00:54,140 element by element. 17 00:00:54,150 --> 00:01:00,510 So you can see here that 6 is 5 plus 1 8 to 6 plus 2 and tennis 3 plus 7. 18 00:01:00,690 --> 00:01:02,950 And it's going to be the same for subtraction. 19 00:01:02,950 --> 00:01:05,890 So I could say something like V-1 minus 2. 20 00:01:05,970 --> 00:01:13,720 Notice I just get all negative force I could do against the two might be one positive force. 21 00:01:13,800 --> 00:01:17,290 I can also multiply vectors element by element basis. 22 00:01:17,460 --> 00:01:22,860 So the one times to Elby five times one six times two etc.. 23 00:01:23,100 --> 00:01:27,530 You can also do subtraction which I showed earlier as well as division. 24 00:01:27,690 --> 00:01:31,390 So I could do the one divided by the two. 25 00:01:32,010 --> 00:01:34,920 And that's going to perform element by element division. 26 00:01:34,920 --> 00:01:39,690 Now let's move on to learn about some useful built in functions that are that we can use along with 27 00:01:39,690 --> 00:01:41,060 vectors. 28 00:01:41,070 --> 00:01:46,610 So as we've seen before with functions you basically have the name of your function some parentheses 29 00:01:46,680 --> 00:01:48,480 and then you have some input. 30 00:01:48,570 --> 00:01:54,450 So let's say you wanted to sum up all the elements in an American actor you can use the built in some 31 00:01:54,450 --> 00:01:55,860 function. 32 00:01:55,860 --> 00:01:59,810 So that will be su M and then you can just pass in your vector. 33 00:01:59,820 --> 00:02:03,310 This case we have the one in all returned the sum for you. 34 00:02:03,430 --> 00:02:08,280 And if you wanted to you could actually assign the output to some sort of variable. 35 00:02:08,280 --> 00:02:25,290 So we could make a variable called let's say some of the C and A that as some one looks enter. 36 00:02:25,980 --> 00:02:30,910 And now if we call some of that we get that six. 37 00:02:30,990 --> 00:02:32,840 So that's a useful builtin function. 38 00:02:32,850 --> 00:02:37,890 And now we're just going to show you a couple of more easeful built in functions for vector operations 39 00:02:37,910 --> 00:02:38,120 . 40 00:02:38,340 --> 00:02:40,830 So we've learned about some common function. 41 00:02:40,830 --> 00:02:50,910 You can also do things like check the mean of the vector loops the one they'll return the mean you can 42 00:02:50,910 --> 00:02:53,700 also do things like standard deviation. 43 00:02:53,820 --> 00:03:02,940 You can find the maximum elements in a vector as well as the minimum elements in a vector and you can 44 00:03:02,940 --> 00:03:10,320 do that or as built in operations in the last one I want to show you quickly is the ticket the product 45 00:03:10,410 --> 00:03:16,110 of all the elements in the vector which is Parodi which just returns all the product the product of 46 00:03:16,110 --> 00:03:17,940 all the elements in the vector. 47 00:03:17,940 --> 00:03:23,290 So one times two times story is short for V-2 as well to 10. 48 00:03:23,310 --> 00:03:25,550 So that's five times six steps seven. 49 00:03:25,590 --> 00:03:26,120 All right. 50 00:03:26,250 --> 00:03:30,140 So that's definitely not all the functions that are available that are built into our. 51 00:03:30,290 --> 00:03:34,110 There's just some that are going to be using over and over again don't worry too much about memorizing 52 00:03:34,110 --> 00:03:34,820 them now. 53 00:03:35,160 --> 00:03:40,890 They'll come up often throughout the course if you want a reference for all the functions that are available 54 00:03:40,890 --> 00:03:41,260 . 55 00:03:41,340 --> 00:03:51,450 You can go to the link Crann that are Dasch project or org slash doc slash contrib slash shorts ref 56 00:03:51,450 --> 00:03:52,930 card that PDA. 57 00:03:53,400 --> 00:03:58,980 This link is also available to you in the notes for this lecture or you can just google search for our 58 00:03:59,040 --> 00:04:03,120 reference card and this link should be in one of the top results. 59 00:04:03,120 --> 00:04:08,370 Again you can look up any sort of our built in functions reference and there's tons of cheat sheets 60 00:04:08,440 --> 00:04:14,430 online which are just nice reference cards for all the built in functions as we go throughout the course 61 00:04:14,460 --> 00:04:16,910 we'll be using the most common ones over and over again. 62 00:04:16,920 --> 00:04:19,890 So you probably will have to reference them too often. 63 00:04:19,890 --> 00:04:23,160 OK thanks everyone and I'll see you at the next lecture. 6538