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Mathematical Language and Symbol Introduction | Darwin Ong | YouTubeToText
YouTube Transcript: Mathematical Language and Symbol Introduction
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Video Summary
Summary
Core Theme
Mathematics serves as a precise, concise, and powerful universal language for communicating complex ideas through symbols, numbers, and operations, distinct from natural languages in its structure and conventions.
okay now we're going to discuss for the
mathematical language and symbols this
will be the
chapter 2 of our lesson question
and it is mathematics a universal language
troll false
if mathematics is a universal language
then mathematics is the language of the universe
universe sakotana
sakotana [Music]
for the mathematical language and
symbols so
nothing language is a systematic means
of communicating ideas or feelings by
the use of conventionalized signs sounds
gestures or marks having understood
meanings according to miriam webster of 2017
2017
what are the importance of language
the language of mathematics was designed
to communicate with others okay so the
language of mathematics was designed
first we have the numbers sets
sets functions
functions
and perform operations
of mathematics first
first
and by convention so we have the order
of operations we have the pemdas
parentheses exponents multiply or divide
add or subtract so these are the order
of operations tells you the sequence to
follow when you are performing
operations in the mathematical expressions
expressions
because of the exponent and parenthesis
so we have also the greek letters so
one is a minimum variable a letter that
represents an unknown number for example
we have x y z
this is
so we have here the operation complex or
minus or multiplication
and then we have the equal sign and then
we have the constant diva
committee okay so the mathematical
language is system used to communicate
mathematical ideas so it has its own
grammar syntax vocabulary word order
synonyms and acquisitions
negations i mean conventions idioms
observation sentence structure and
what are the characteristics of
mathematical language first we have the precise
precise
concise and powerful
passing having precise is able to make
five very fine distinction
such again
for example its query is different to rc
precise
but nobody concise
it's able to say things briefly
for example
twice the number
or
verbal praise
and expression
for the verbal praise we have the sum of
6 and a number
8 more than a number
a number plus 5
a number increased by seven
a number decreased by eight
or ten times a number
or a seven divided by a number because a
number a number perimeter meeting x y or
or
a number plus five
five
a number plus
plus five
five or
or
a number
so a number decrease by 8 and
and
and then 10
times a number or
you can use
and then we have 7 divide a number
so this is the mathematical language you
have addition subtraction multiplication
plus the sum of increase by or total
added two or more than than or greater
than so you know
nothing minus so the difference of or
decreased by subtract from less or less
than for multiplier we have
multiplied by the products of the
product of times or twice or twice
for a division we have divided
divided by
the quotient of per or ratio of sodium
for the
last characteristic is powerful
powerful
so it's able to express complex thoughts
with relative ease
for example
2 plus 4 means we need to add 2 and four
to get six
so for example we have work is equal to
force multiplied distance or
w is called force times this or
or
from the inclination we have the work is
equal to force times distance
for the english language versus
mathematical language foreign
foreign
for the noun in phrase or mathematical expressions
expressions
so we have here for example christian
now or two times eight that is a
mathematical expression
jersen's dog
a noun neo underwear or praise
praise
either one four plus eight so nothing
that's the mathematical expression where
or
or this is a mathematical expression so
alumni in the difference between english
language and mathematical mathematical
language so mamiya i'm giving you a
sentence and mathematical sentence okay
so the english language everybody has mathematical
so we have here for example
4 plus 8 is equal to 12.
jude's is handsome
or 2x minus 5y is equal to 0
so anymore difference in a mathematical
sentence and a sentence regarding
english language versus a mathematical language
he taught him to mention
mention
english noun
so we have here 2 12 minus 8 is equal to
4 that's a mathematical sentence
where august 11 2008 is my birthday so
that's an english sentence so any
difference combination so
so
i think example okay
y minus 12 is equal to 8 y plus 4
mathematical sentence mathematical
mathematical sentence
one for the convention in mathematical language
language
convention is a general agreement about
basic principle accepted as true
according to miriam webster of dictionary
dictionary
so we have mathematical expressions so a
correct arrangement of mathematical
symbols used to represent a mathematical object
object
of interest and it does not
state a complete thought
so for the mathematical sentence
you have a correct arrangement of
mathematical symbols that
state a complete thought
for the grammar of mathematics so the
mathematical notation used for the formulas
formulas
has its own grammar not dependent on the
specific natural language but shared
internationally by mathematicians
regardless of their mother tongues
so for example we have the word is could
mean equally inequality or membership in
a set depending on how they are used in
a sentence for example
10 times
10 is 2 times 5
10 is 2
times 5. anubasha equality inequality
inequality
or membership
because i'm not in a 2 times 5 is 10 soy
10 is greater than 3 ten
ten
and y plus y is equal to y only
grammar in mathematics language so
number two betting
betting
number in the sentence maybe cardinal or
little or nominal type okay
okay
checking that then for example
my phone number is zero nine nine seven
five eight zero one zero zero two
i have five sets of pair of bodies anusha
anusha
cardinal or dinner
okay next we have here jison is the
first place in the singing contest definitely
well for the grammar in mathematical
another one we have three is the words
and an or means differently in
mathematics compares english
lastly we have mathematical object objects
objects
may be represented in many ways such as sets
sets and
and functions
[Music] ciao
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