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MATHEMATICAL LANGUAGE AND SYMBOLS Introduction to Sets | Darwin Ong | YouTubeToText
YouTube Transcript: MATHEMATICAL LANGUAGE AND SYMBOLS Introduction to Sets
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Video Summary
Summary
Core Theme
This content introduces fundamental mathematical concepts, focusing on sets as collections of distinct objects and exploring various methods for describing and classifying them.
let's continue our lesson
regarding some mathematical language and symbols
symbols
now we have four basic concepts
first we have sets functions
functions relations
relations
and binary operations
introduction regarding through sets
sets
okay sabjan a collection of distinct
objects forming a group
or a collection of well-defined objects
called elements and
member or member
embraces nothing okay
okay
so for example we have abc
but is nothing else elements
elements
breeze attention element
user a or element b or element c so depend
that object is not belong to the set
set
so for example let me the
set of soldier signs sorry we have
capricorn leo virgo towers and libra so
they are all
relayo
is an element of b
while queen
okay
for example
we have here example zero one two three
one is an element of s
s
ways to describe essence first we have
roaster and tabler method
the elements in the given set are listed
or enumerated separated by comma
inside the pair
the set
v of a vowel in the english alphabet can
be written as
v is equal to
braces the a e i o u
so a team of members yeah
so a e i o u so
they are all vowels
the set e of even counting numbers less
than ten
can be expressed by e
e
even numbers we have two four six and
eight so they are independent sum and
10 because less than 10 okay now which is
is
while for this
star roster and tabular method
the set of positive even numbers less
than one hundred
can be denoted by for example i had
why
while for the rule descriptive method we
have the common characteristics of the
elements are defined
this method uses set builders notation
where x is used to represent
any elements or any element of the
given set
remember
x is such that
such that x is an even number
our o is equal to x such that x is an ad
positive integers or integer less than 10
or x
x
such that
on
bedding three 27
rational 91 per entry over five
five and
well for the interval notation
so recall the notation for intervals of
real numbers when a and b are real
numbers with a is
less than or equal to b so we write for example
example
so here
is an element of r or rationale
a real number is poly mean so that is
less than or equal to x which is less
than or equal to p
so
on the end
3.4.2 5.8 6.9
you know because of that okay
okay
note that a and b
is called close interval from a to b and
and
this is a called an open or open
parametric cardinality refers to the
numbers of elements in a set
set
for example
a n and then any so it is a
representative cardinality of a set a
all sets which either has no elements
or has elements which could all be
for example we have here let r not be
natural numbers less than 40. hindi
39 casaba
i don't know if
i in finite set in our infant set
in finite set so our sets whose elements
cannot be listed or unlimited
we have also have a
the null set of this set with no elements
elements
i mean
so for example set
set
of positive integers between one to ten
to the positive b
one to ten are divisible by thirteen merunda
merunda
voila so that is a national set next
next
set of integers between two and three
for the equality of sets
so let a and b be sets if both a and b
have the same elements then a and a is
equal to b
for example check not n a
a
has an element of one two three four
so b
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