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00:00:02

[music]

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[applause]

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[music]

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hello, the topic of today's

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lesson is set, elements of a set of

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images, set.

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Today in the lesson you will learn the concept of

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sets, elements of a set, and you will also

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learn what an empty set is,

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you will be able to use symbols of

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membership of an empty set when

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working with sets, what a

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set represents. is the unification of

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some objects or objects into a single

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set according to some common

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property

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or law, for example, many stars in the

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sky, many students in a class,

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many numbers, many consist of

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elements,

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objects or objects that make up the

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set are called elements of the set, a

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set is usually denoted in capital

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letters of the Latin alphabet, for example, a b

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c and so on and its elements are written

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lowercase from bc

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for example, like a set of letters in the word

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square is written a set k

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has elements k a d vrt

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or a set k has elements a v.d.

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krt of the word square has a set to the

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following elements q a d vrt

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or the same set how can you write the

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elements in the following pair order a in d a

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r t or the elements can be written in the

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following order d r t a vka and the

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elements of a set can be written in

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any order but at the same time, not a single

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element is written twice guys in the

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word square there are two letters and when we

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list

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the elements of the set k we

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write a only once, consider the

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set m consisting of natural

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numbers

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one two three four and so on if

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element a belongs to the set

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b then writes a belongs to

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the set b

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as for our

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set for example the number 7 belongs to

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the set n this natural number

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element c does not belong to the set ef

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for example we write its price does not

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belong to the set ef for example the number

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0 does not belong to the set of natural

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numbers n if the set does not contain

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any element it is called empty

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Mars and is denoted by this symbol,

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for example, the set of natural numbers

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less than one is the empty set, the

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set can be a finite set

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and also an infinite set, for example, a

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set of fish in an aquarium, a set of

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musicians, a set of

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infinite numbers

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there, for example, a set of snowflakes, a set of

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natural numbers from history,

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a little guys, the

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basics of finite theory and infinite

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bridges were laid by Bernard Bojtsa, a Czech

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mathematician and philosopher who

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formulated some of its principles

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in the second half of the 19th century, a

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new concept of set appeared in mathematics,

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introduction to mathematics, the concept of set

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contributed to the formation of set theory, the

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creator of set theory is the

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German mathematician Georg Cantor,

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set and the relationship between

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sets

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are represented by Euler-Venn circles

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Leonard Euler

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one of the greatest Swiss

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mathematicians of the 18th century John Wen English

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logician and philosopher we can precisely

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determine the set of all brown

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chairs in a room since either an object

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is or is not a brown

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chair the

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set of all good Beatles songs is not a

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set because it is not clearly defined;

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inclusion of a set is a matter of taste; the

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same entry may

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be liked by some and not by others; the

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set of all lampposts on your

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street is clearly defined because the object

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is either a lamppost or

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is not one; a set of beautiful

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clothes in a store is not a set

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because it is defined inaccurately,

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some people may like dresses and

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others may not, let's look at the following

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task: it says write down the name of

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the sets look guys

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first in the moment set a consists of

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elements plate

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cup teapot dish what one word

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can

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this set be called this set of dishes

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set k consists of elements

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10 20 30 40 50 60 70 80 90 what do you

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think, yes, this is a set of numbers that are multiples of

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10 and, moreover, two-digit numbers, a set

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and the elements will be children who are studying at

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school, what can you call this set in one word

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and this set is a set of

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schoolchildren,

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write down the elements of the set now

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let's see Igor this is a set of

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three-digit numbers that are multiples of star

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let's check y consists of

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elements 100 200 300 400 500 600 700

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800 and 900

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as a set of workers who treat

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people let's check this is a doctor

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nurse surgeon therapist and so on and a

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set of schoolchildren that is a set and

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consists of elements guys who

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study at school these are students primary

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school middle school senior level the

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next task guys, describe the

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set a from the picture,

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indicate the correct answer

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please look at the set ah shown by

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Euler circles in this case the set a

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consists of and choose the correct answer

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we will check guys so guys

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the correct answer set a consists of

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elements 0.3

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2004 68.

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1 2 so guys today in the

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lesson you got acquainted with the concept of a set, the

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elements of a set, the empty set,

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you learned to use symbols of

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membership and also the empty set

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when working with sets, this lesson is

00:09:30

over all the best

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[music]

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[applause]

00:09:40

[music]

Description:

Тема урока: Множество. Элементы множества. Изображение множеств С понедельника по пятницу с 09:00-18:00 телевизионные уроки в эфире EL ARNA Запись телеуроков: https://www.youtube.com/playlist?list=PLDIwNJYcIQ77fZ7Tqrb5myYpNtQbhnA4p https://edu.elarna.kz/ru/tv-lessons

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