This is very silly and funny question but still we will try to find the answer. APPRECIATION: We should appreciate all covid-fighters like Health workers , Municipality Worker ,Policemen , and Soldiers for their endless effort in this pandemic time. Introduction: we should keep in mind that there is two ways to reopen schools and college(though Medical colleges has opened) The Active cases must be very low(0-2K) that Govt. will open school/college fearessly.                       2. An effective vaccine  must be produce ..read more

Q. What is probability of getting 19 marks from 20 marks in test? ANS: This is a basic question which require fundamental(Basic) knowledge of probability. If you want to just remind the basics of probability  JUST CLICK HERE !!!!!! This is a #QuickQuestion so let's start. Here the sample space ' S ' will be {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20} Let ' E ' be the event of getting 19marks out of 20marks. so E={19} ⇒|E|= 1   So probability of E will be  ..read more

Many Students think that math is tough because somehow they are weak in math. In this blog i post some tips and technique to improve your math skills.But before I am going to discuss about some problems in our study life: (Must read the below section) ➡️Our Study Life: Most of the students study only for marks and nothing else.This is not the fault of the students, this is family pressure.   I mostly says about India. Look at some example of this. Example:                Father(Family):- Son just secure 90% above marks ..read more

INTRODUCTION: All of you must read the 1st part of real analysis.If you are not then just CLICK HERE TO READ. Though I repeat some basic knowledge about real analysis. Real Sequence:A real sequence is a map ∱: N ➝ R If we write ∱(n)= xn , n ∈ N  then it is customary to denote the sequence ∱ by (xn)n=1 or sometimes (x1 ,x2 ,x3 ,...,xn ) The set {xn : n ∈ N } is the range of the sequence. A sequence in R is a list or ordered set: (a1 , a2 , a3 , ... ) of real numbers. Bounded Sequence: The sequence  (xn) is said to be bounded above if there exist a real number 'M' such that ..read more

INTRODUCTION: I am damn sure that you never heard this name before.If you know this before then you are special.      Don't get sad we will discuss about it briefly and from basic. ZENO: Zeno of Elea was a pre-Socratic Greek philosopher of Magna Graecia and a member of the Eleatic School founded by Parmenides. Aristotle called him the inventor of the dialectic. He is best known for his paradoxes. What is Paradox? A paradox is a statement that contradicts itself, or that must be both true and untrue at the same time. ... But a key part of paradoxes is that they at leas ..read more

INTRODUCTION: Some Thinks that Probability is very easy a And Some think it is very tough.       If you Think Probability is tough then Proceed to our Probability blogs to learn easily. Let's Proceed to our Topic ✦ A random variable is often described as a variable whose values are determines  by outcomes of a random experiment. OR,        We assigned some real values to each of the outcomes of a sample space ,which is called the random variable. ✦ A random variable is a function , X :S ➝ R i.e a random variable is a function whose domain is the sa ..read more

INTRODUCTION: Regula-Falsi method is also used for finding approximate roots of an equation .It is very similar to bisection method.                 If you don't read about bisection method OR forgot the bisection method just click here to read now. This is also called False Position Method. THEORY: As before (in Bisection Method), for a given continuous function f(x) we assume that f (a) and f (b) have opposite signs ( a = lower guess, b = upper guess). This condition satisfies the Balzano's Theorem for continuous func ..read more

Algebraic Structure: A non-empty set eqipped one or more binary operation.      Ex: ( G,*) , ( S,*) etc NOTE: Here G and S are non-empty sets and  ' * ' is called binary operations. Group: A group is an algebraic structure ' G ' equipped with one binary operation ' * ' i.e; (G,*) along with the following four properties. 1. Closure Property: For every a,b ∈ G ⇒ a *b ∈ G 2.Associative Property: For every a,b,c ∈ G ⇒ a*(b*c) =(a*b)*c 3.Identity Property: There is an element e∈G ,such that a*e=a=e*a Here ' e ' is the identity element in G. 4.Inverse Property: For every a∈G , T ..read more

Function: A Function is an ordered triple <∱,A,B> such that 1. A and B are sets and ∱ ⊆ A × B 2. For every x ∈A  there is some y ∈ B such that <x,y>∈∱ 3.If <x,y>∈∱ and <x,z>∈∱ ,then y=z ;in other words the assignment is unique in the sense that an x ∈A is assigned  atmost one element of B. A is called Domain of ∱ and B is called Co-domain. Then we will usually write y=∱(x) ,and called " y is the image of x under ∱ " The set {y ∈ B :there is an x ∈A such that y=∱(x)} is called range of ∱ . Types Of Function: One to One Function: A function f: A&nb ..read more

INTRODUCTION: In this session we will discuss about a question which had appeared in IMO 1995.  So before staring the session i will discuss about ' Titu's Lemma ' and  ' Cauchy-Schwarz Inequality '. Cauchy-Schwarz Inequality :  The Cauchy-Schwarz inequality also known as Cauchy-Bunyakovsky-Schwarz inequality states that for all sequence of real number ai and bi,we have Condition: Equality holds if and only if  ai = kbi, for non-zero constant K € R. TITU'S LEMMA: Titu's lemma is a direct consequence of cauchy-Schwarz inequality . It is also known as Engle's Fo ..read more