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To start from what math is? it is the formal science that deals with the structure , patterens , shape , space and it is basically used for logical reasoning
Branches of Mathematics:
we learn many branches, especially of two types which are; pure and applied. Pure means where mathematics is used for its own sake, like mathematical analysis, topology , etc and applied means math is used in other field e.g. Statistics and probability , linear algebra, calculus etc,
and then we also learn number theory
which cover concept like even, odd, prime, composite, or fabonacci numbers these concepts I knew already. Today I polished them. What's new I learned about number theory are perfect numbers, 1 modulo 4, 3 modulo 4, and triangular numbers.
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I learned mathematics and branches of mathematics, and also number theory and types of numbers, like natural numbers, whole numbers, modulo, perfect numbers, Fibonacci numbers, composite number, prime numbers and some more types.
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I learned about Mathematics and it's importance in different fields. Branches of mathematics, number theory, perfect number, 1(module 4), 3(modulo 4) and Fibonacci numbers. These are a few topics that I learned and hope to learn more.
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Done
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I know it all but i startted it after 5 years ......Maths is easy .
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mathamatics may jo in picyly leactures may sikha buhat hi aham tha , like firstly mathamtatis jo hay quantity may shamil hota hay logical reasing , and Rigruous prof shamil hay, pir agy is ki main brachis k bary may batt kary to 1, PURE MATH,, AND 2. APPLIDE MATHAMAITICS bhi shamil hy , in ki bhi kafi agay brachess hay jis may (PURE MATH) 1, number theory,2,algebra,3 arthimatic ,4 combinatorics,5,topholgy, 6, mathamatics ets, (APPLIDE MATHAMATICS)
1, calculs
2, statitics
3,prpbablity
4, trignomatry
shamil hay Data science k liya ktni zarrrori hy to ye operational research or discrete mathamatics k oper dipand karti hy or bad may e axpend or statistics or pir data science banti hy ja
NUMARIC THEORY: ye whole numabe kahlaty hy
like `2,3,4,5,6,7.........
is may 2 typs hoti hy
ODD: jo 2 py divid na ho saky like 1,5,7,9ect,,,,,
EVEN: jis may 2 remening bachy
2,4,6,8,,10................
SQUIRE NUMBER: (2)
4,16,25 in power 2 hoti hay jin sy world complet hoty hy,
CUBE NUMBER:(3)
jin ki powr 3 hoti hy , like8,27,64.....................
pathams inside data from -----report---- data driven deciion makingSET OF NUMBERPRIME NUBER:
2,3,5,7,11,13,17,19,23
>1 2/2, 3/3
COMPOSITE NUMBER:
>1 not prime number like 4,6,8,9,10,12,14,15
1 (modulo 4) = 4*4 +(1) =17
3 (modulo 4) = 4*4 +(3) = 19TRAINGULAR NUMBER : n(n+1)/2PERFECT NUMBAR:
6/1 ,6/2 = 6/3
1+ 2 +3 =6
matlib asa number kis ko divid kary jo bachta ho un ko jamma kary to wohi numbar bana jayFIBONACCI NUMBER:
2,4,6,10,16,26....................
number of series where the next number fowund by adding up two number before it starting with o, and 1
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i learned composite number , perfect number,1 (module 4),3(module 4) and trianguler number(The triangular number sequence is the representation of the numbers in the form of equilateral triangle arranged in a series or sequence. These numbers are in a sequence of 1, 3, 6, 10, 15, 21, 28, 36, 45, and so on. The numbers in the triangular pattern are represented by dots.) anf Fibonacci number.
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I learned Fibonacci numbers, perfect numbers, 1 (modulo 4), 3 (modulo 4) and triangular number.
thanks a lot sir!
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In this lecture, I learn many new things such as Fibonacci numbers, perfect numbers, 1 (modulo 4), 3 (modulo 4) and many more, I enjoy the lecture.
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In this lecture I learned about some new concepts such as, 1(modulo 4), 3(modulo 4), Triangular Numbers(A number which forms equiliteral triangle when represented by dots and the equation for finding the triangular numbers are "T = n(n+1)/2"), Perfect numbers(Those numbers that is also the sum of its proper divisors other than itself such as 6 can be divided by 1, 2 and 3, which when added together 1+2+3 = 6), and Fibonacci numbers (A series of numbers in which the next numbers is the addition of the immediate previous two numbers)
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