00:00To build the infrastructure for our cluster, let's first look at how a cluster is represented.
00:06Let's take an example.
00:07The elements in base 10 are greater than 5.
00:23Made up of numbers.
00:26We are currently using base 10, right guys?
00:29Okay, let's represent the set of numbers greater than 5 using three different methods.
00:54First of all, friends.
00:59What is our method of showing off?
01:02List method.
01:07Yes, friends.
01:09In the list method, let's call your set A.
01:13We needed to show it in capital letters.
01:15This is how we open parentheses in the list method, folks.
01:18What were our numbers in base 10, guys?
01:22You remember.
01:23What do our numbers consist of?
01:250, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
01:28Okay, now we'll write the set of numbers greater than 5 here.
01:32By placing a burden between them.
01:34It also consists of 6, 7, 8, and 9, right?
01:38This is how we create lists, folks.
01:40Now, the second method of generalization is the common feature method.
01:59We were already discussing set A, weren't we, guys?
02:02Yes, we're in the same group.
02:03I'm saying X so that...
02:05How was our X, guys?
02:08We remember it from the propositions.
02:09We needed to write this part.
02:10A good definition needs to be well-defined.
02:13I'm talking about base 10.
02:19Our X, which is greater than 5, is the number greater than 5 in base 10.
02:32And we're closing.
02:35Or, friends, we can show it like this:
02:38We say A equals.
02:40I'm saying that X is like that.
02:42You can also write it here as two dots, also to the other side.
02:45X is greater than 5.
02:47Our X must be greater than 5, right guys?
02:52And
02:53What's up, guys?
02:55X
02:55Numbers in base 10.
03:07So, this is how the common trait method works, friends.
03:12Alternatively, friends, we can read it like this.
03:15I want to write about this too.
03:17This cluster
03:19What's up, guys?
03:21So set A consists of the X's.
03:23Our X must be greater than 5, right?
03:33So much so that
03:38X is greater than 5.
03:44And in base 10.
03:51And in base 10
03:53Why?
03:53They are numbers.
03:57Here's a well-defined set, friends.
04:00In this way too
04:01readable.
04:06Our third feature method, friends.
04:10In the representation of the set.
04:11Why?
04:12My diagram.
04:19He has friends
04:21One
04:22in this way
04:24You can also make a circle.
04:26You can also make a triangle.
04:27You can also make a square.
04:29In a convex manner.
04:30We call it set A.
04:32Why?
04:336
04:33Right, guys?
04:346
04:357
04:358
04:36and 9
04:367
04:378
04:39And
04:409
04:40shaped
04:41We can show it.
04:43Here are the friends
04:44after I created the diagram
04:46I need to point this out.
04:47If we write it as an element
04:496
04:49why?
04:51It is an element of set A.
04:537
04:53It is an element of set A.
04:568
04:57It is an element of set A.
04:599
05:00It is an element of set A.
05:01However, 5
05:02why?
05:03An element of set A.
05:04It is not.
05:06Set A
05:07Here
05:11What's up, guys?
05:13Number of employees
05:17How many members are there, guys?
05:191
05:192
05:193
05:194
05:206
05:207
05:208
05:209
05:204
05:214
05:22And
05:23Like this
05:25S
05:25A
05:25well
05:26The number of elements in set A
05:284
05:29It is shown as follows.
05:31And I want to give an example of that.
05:33With your permission.
05:37Let's consider another set A.
05:40After I finish this.
05:42Let's say A equals...
05:45Let it be A.
05:461
05:472
05:50Let's have a group like this, guys.
05:53How many elements are there here?
05:54Look how we've demonstrated this?
05:56Using the list method.
05:57In the list method, each element is considered a separate element when separated by commas.
06:001
06:011
06:021
06:022
06:03and one in parentheses
06:05They are elements of set A.
06:07And how many people are here, guys?
06:091
06:092
06:093
06:104
06:11that is, the number of set A
06:13It was 4.
06:15And also A is small A
06:17is an element of set A
06:19It is an element of set A.
06:232
06:24It is an element of set A.
06:26And what is it, friends?
06:27The element inside the parentheses is an element of set A.
06:31is an element of set A
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