Virtual Helper


Any small thing looked at a greater depth have excellent structure or pattern behind them


My parallelogram law of forces

Philosophy of Mathematics

Is Mathematics really Hard?(specially for those who hate it).I have expressed my views regarding mathematics.How Mathematics is associated with all walks of human life.

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Web technology

Everything in the world is connected.This is another nice article related to div tag.

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Another webtechnology post

Funny illustration of webtechnology related concept.How web technology various branches associated with the human life

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Free Educational Video

Treasure Resources

All open resources Educational resources under one shell for all subjects .Don't forgot to bookmark this.

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helpful post which I came across(How to Detect Hidden Camera in Trial Room? )



credits to the original poster
How to Detect Hidden Camera in Trial Room?
In front of the trial room take your mobile and make sure that mobile can make calls........
Then enter into the trail room, take your mobile and make a call.....
If u can't make a call......!!!!
There is a hidden camera......
This is due to the interference of fiber optic cable during the signal transfer......
Please forward this to your friends to educate this issue to the
public......To prevent our innocent ladies from HIDDEN CAMERA...........
Pinhole Cameras in Changing Rooms of Big Bazaar, Shoppers Stop?
A few days ago, I received this text message:
Please don't use Trial room of BIG BAZAAR there are pinhole cameras to make MMS of young girls.
So, please forward to all girls. Also forward to all boys who have sisters and girlfriends.
Don't be shy in forwarding this message. Because its about protecting the integrity of all girls & ladies.
HOW TO DETECT A 2-WAY MIRROR?
When we visit toilets, bathrooms, hotel rooms, changing rooms, etc., How many of you know for sure that the
seemingly ordinary mirror hanging on the wall is a real mirror, or actually a 2-way mirror I.e., they can see you,
but you can't see them. There have been many cases of people installing 2-way mirrors in female changing rooms or bathroom or bedrooms.
It is very difficult to positively identify the surface by just looking at it. So, how do we determine with any amount of
certainty what type of Mirror we are looking at? CONDUCT THIS SIMPLE TEST:
Place the tip of your fingernail against the reflective surface and if there is a GAP between your fingernail and the
image of the nail, then it is a GENUINE mirror.
However, if your fingernail DIRECTLY TOUCHES the image of your nail, then BEWARE, IT IS A 2-WAY MIRROR!
(There may be someone seeing you from the other side). So remember, every time you
see a mirror, do the "fingernail test." It doesn't cost you anything. It is simple to do.
This is a really good thing to do. The reason there is a gap on a real mirror, is because
the silver is on the back of the mirror UNDER the glass. Whereas with a two-way mirror, the silver is on the surface. Keep it in mind! Make
sure and check every time you enter in hotel rooms.
Share this with your sisters, wife, daughters, friends, colleagues, etc.
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Note



என்னுடைய எழுத்தில் பிழை இருக்கலாம் ஆனால் என்னுடைய உள்நோக்கத்தில் பிழை இல்லை.
My words may go wrong sometimes but not my intentions
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தமிழ் காலம் (Recursion)



void kaalam(kaalam)
{
நேற்றைய எதிர்காலம் இன்றைய நிகழ்காலம் .
இன்றைய எதிர்காலம் நாளைய நிகழ்காலம்.
நாளைய இறந்தகாலம் இன்றைய நிகழ்காலம் .
kalam(kalam);
}
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program to find prime factorisation of a given number



you can extend the array as far you like by typing the prime numbers so that it will works for larger numbers
#include<stdio.h>
int main()
{
int a[]={2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127};
int i=0,n;
printf("enter any even number for which prime factorisation has to be foundn");
scanf("%d",&n);
printf("n the prime factorisation of a given number is n");
while(n!=1)
{
if(n%a[i]==0)
{
printf("n%d",a[i]);
n=n/a[i];
}
else
{
i=i+1;
}
}
getch();
}
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Great site for true learners



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Good speeches



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Best youtube channel for those who want to learn french from novice to professional



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how to check the given number is a palindrome (using pow and log in a easy way)



#include<stdio.h>
#include<math.h>

void main()
{
int num,cnt,rev=0,temp;
clrscr();
printf("\n Enter the number\n");
scanf("%d",&num);
temp=num;
cnt=log10(num)+1;
printf("\n the no of digits in a given number is %d",cnt);
cnt=cnt-1;
while(num!=0)
{
rev=rev+((pow(10,cnt))*(num%10));
cnt=cnt-1;
num=num/10;
}
printf("\n the digits in reverse order is %d",rev);
if(temp==rev)
printf("\nThe given number is a palindrome");
else
printf("\nThe given number is not a palindrome");
getch();
}
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how to compute square root of a perfect square just using simple addition only



Caution: This methods works just only for perfect squares
#include<stdio.h>
void main()
{
int cnt=0,sum=0,i=1,num;
printf("\n Enter the number for which you want the square root\n");
scanf("%d",&num);
while(sum<num)
{
sum+=i;
i+=2;
cnt+=1;
}
printf("\n The square root of a given no is %d",cnt);
getch();
}
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Is Right is an Synonym for wrong or Right is an Antonym for wrong



This is just my own idea.So don't take it seriously.What is wright and what is wrong?.Is Right is right or wrong is wrong?
What the heck in the world is it mean?.You may think like that but in the end you will understood why is it the case.Every object has its own nature.Here the object which I refer may be person,place or thing and the nature refer to its behaviour,character or properties.The nature of the object in most of the times it is fixed.But it is the window through which we look differs.That's why for someone the event seems to be good and for others it isn't.Here the window which I am referring to here is your illusion.
This can be understood very well by taking an example from our epic called Mahabhartha.one time somebody asked Yudhisthira and Duryodhana the same question .But their answers are completely different. The question is go out and tell about what sort of people are out there in the world.Yudhisthira went and came back and he told that world is full of good peoples.There is nobody bad out there.similarly when Duryodhana went and came back he told that world is full of bad peoples .For some people the heaven seems to be hell and for others the hell seems to be heaven .
One more story which I want to mention is from an ( author named shivkhera) book called "you can win".In that one of the story I want to mention specifically.The story is as follows.
This is true when we consider a failure and success.When someone wins an competition to the outerworld that person got an success but that person only knows whether it is a success or failure for him and viceversa.So if you get failure in life consider this in your mind and hope that you have learned something from that.It means that you interpret failure as a starting point for your success.
once upon a time there was a man who is a father of two sons.The nature of the father is a drinker.The years rolled.After thirty years the two sons became grown up.In that one of them became rogue.And the other one became a district collector.Here the nature of the object(father) didn't change rather the viewers prespective changed(and here the viewers are two sons.).
Let us assume that if 20 people say that one thing is right among 25 people.Eventhough it may be wrong but in their universe(among 25 people) that may become right.Because the majority is always overriding the minority.It doesn't means that 20 people are right and the remaining 5 people are wrong.
We always love to be fooled by our illusions eventhough sometimes if we get an opportunity to overcome it. so your illusion rules you .And in general illusion rules our world which we live in. An illusion is a imaginary circle which we create ourselves and we want to live within it. But the great weakness can become a great strength if we fooled by it other illusion.(e,g like the complement of complement of the something is the original).
one more simple math example to understand this .suppose you solve a problem related to area or distance and while solving the problem let us assume that you got an quadratic equation and you are solving it.The answers are one root is positive and the other one is negative.you are verifying by applying them in the quadratic equations.Both are valid solutions .Eventhough both are valid solutions to the quadratic equations our answer should be in positive.Since the distance and area cannot be expressed in negative quantity.The context matter much more(here the context is problem definition).
Also you can feel this is very well true if I mention one more point.once I heard sukisivam talk.One time he mentioned that "a philosopher called osho told that "Words are mine and their meanings are yours".This is absolutely right.
In everything we are fooled by our senses .For example eventhough we know that in mp3 most of the things are cut out we are in illusion that we are getting an complete one.This is the same with video encoding and illusion will be our partner for our own life.If you say someone is sitting idle .It means are they really idle.If you say they are idle then means you are thinking (caption is used as name in visual basic)but in reality they aren't.Their biological part is always working.
Illusion has great power that has been understood by scientists and mathematicians.I want to mention one example.If something is very tough to prove in mathematics then mathematician will assume contradictory to the nature and that leaves to contradictory so the assumption is wrong like that he will prove.Here he used the power of illusion something which is not prevailed.
similar to mathematicians ,the computer guys have understood the power of illusion and they used its power to it's full length and they created a concept called view in the database.The views provides a great level of advantage.Actually view is a virtual table which does not exist in the database which can be computed or collated from data in the database.
More often the concept of illusion has been used in programming to achieve the reality.I have just given two or three examples to illustrate the power of illusion but illusion is associated with all parts of our life.

So what we think might be good in our universe may not be treated as good in other universe.so the context matters. why these stupid reasonings that I want to tell to you.Because I thought of introducing a new weird concept called p-adic numbers.In our universe the distance between 2 and 5 is greater than distance between 0 and 0.6(i.e 6/10)if we consider all the realnumbers from starting point to the ending point between the numbers.But this is not true in case of other universe called p-adic numbers in which the reverse is true . where p in p-adic stands for prime numbers consider this infinite sum 1+3+3^2+3^3+3^4+3^5+........... If I say the answer is -1/2(if you consider the 3-adic universe) you may tell that what the heck are you doing?
You may tell that it is wrong .But it is absolutely right when we consider the p-adic universe because our way of distance concept is shattered completely in this universe.
In order to understand this I will give an example related to computer science k="55"; j=72; what is k+j answer is not 55+72 as you may think .The real answer is 5572.It's the context matters plus generally stands for addition but in java and javascript it is not like that .plus may stand for addition or concatenation depending upon their components.If the two components are numbers then usual addition will be performed or when either one of them or both of them are string concatenation will be performed.
Last example which I want to mention you is that I want to ask a simple basic question what is an array?.You may say that it is an homogenous collection of elements.Again the context matters .This definition will be valid in strong programming languages like c,java.But this definition will fail in case of weak datatype languages like javascript where array can contain masala elements(where masala means mixed datatype )
Now you might ask then what the heck is mean that what is right and what is wrong?.
That's the heck I don't know. Simple things are not simple when you go in depth under it you may find the universe which has no end to it.
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another funny imaginary narration I came across



Credit to the original poster

A Computer Engineer's narration of Ramayana

This is just an imagination, pls dont take it seriously

This is a small riddle kind of a thing. Just imagine a Computer Engineer narrates Ramayana.

LAN, LAN ago, in the SYSTEM of I/O-dhya, there ruled a PROCESSOR named DOS-rat. Once he EXECUTED a great sacrifice PROGRAM after which his queens gave an OUTPUT of four SONs - RAM, LSIman, BUG-rat and SED-rughana.

RAM the eldest was a MICROCHIP with excellent MEMORY. His brothers, however, were only PERIPHERAL ICs. Once when RAM was only 16MB, he married princess C ta.

12years passed and DOS-rat decided to INSTALL RAM as his successor.However,Queen CIE/CAE(Kayegayee), who was once offered a boon by DOS-rat for a lifesaving HELP COMMAND, took this opportunity at the instigation of her BIOSed maid and insisted that her son Bug-rat be INSTALLED and that RAM be CUT-N-PASTED to the forest for 14 years. At this cruel and unexpected demand, a SURGE passed through DOS-rat and he CRASHED like unstable version of AI MSN does in intel.

RAM agreed to LOG INTO forest and C ta insisted to LOGIN with him. LSI-man also resolved on LOGGING IN with his brother. The forest was the dwelling of SPARCnakha, the TRAN-SISTOR of RAW-van, PROCESSOR of LAN-ka. Attracted by RAM, she proposed that he should marry her. RAM, politely declined, perceiving C ta to be his SOURCE CODE. She hastened to kill her but LSI-man cut her nossile PERIPHERAL. Weeping, SPARC-nakha fled to LAN-ka, where RAW-van, moved by TRAN-SISTOR s plight, approached his uncle MAR-icha. MAR-icha REPROGRAMED himself to form a golden stag and drew RAM deep into the forest. Finally, RAM shot the deer, which, with his last breath, cried out for LSI-man in voice of RAM s SOUND CARD. Fooled by this VIRTUAL RAM SOUND, C ta urged LSI-man to his brother said. Catching the opportunity, RAW-van DELINKED C ta from her LIBRARY and changed her ROOT DIRECTORY to LAN-ka.

RAM and LSI-man started SEARCHING for the missing C ta all over the forest. They made friendship with the forest SYSTEM ADMINISTRATOR Akshat sorry… SU-greev and his powerful co-processor Ha-NEUMAN . who agreed to help RAM. SU-greev ordered his PROGRAMMERS to use powerful SEARCH techniques learnt in GOOGLE to FIND the missing C ta. His PROGRAMMERS SEARCHED all around the INTER-NETworked forests. Many tried to EXCITE the birds and animals not to forget the WEBCRAWLERS (Insects) and tried to INFOSEEK something about C ta. Some of them even shouted YAA-HOO but they all ended up with NO FOUND MESSAGES Google, Lycos nothing was left untouched. The only thing they forgot was to mail iitcse01 & get PTI s help. Ha-NEUMAN then devised a RISCy TECHNOLOGY and used it to cross the seas at an astonishing CLOCK SPEED. Soon Ha-NEUMAN DOWNLOADED himself into LAN-ka. Ha-NEUMAN found C ta under a brown - green (as Brahma will call it) TREE STRUCTURE Ha-NEUMAN used the LOGIN ID (ring) to identify himself to C ta. After DECRYPTING THE KEY, C ta asked him to send STATUS_OK MESSAGE to RAM.

Meanwhile all raakshasa BUGS around C ta captured Ha-NEUMAN to DELETE him using everything including Ctrl-Alt-Del. But Ha-NEUMAN spread chaos by spreading VIRUS Fire . Ha-NEUMAN pressed ESCAPE from LAN-kaand & conveyed all the STATUS MESSAGES to RAM and SU-greev. RAW-wan decided to take RAM head-on. One of the RAW-wan s SUN almost DELETED LSI-man with a Brahma -astra. But Ha-NEUMAN resorted to some ACTIVE-Xgradients and REFORMATTED LSI-man. RAM used the SOURCE CODE secrets of RAW-wan and wiped out RAW-wan’s presence on earth. Later, RAM got INSTALLED in I/O-dhya and spreaded his USER FRIENDLY PROGRAMS to all USERS and everyone lived happily ever after, playing & enjoying.

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What is the meaning of fancy word named code optimization(explained with Buddha principle)



I actually heard this talk from sukisivam and I thought of associating it with topic called code optimization.I think everyone have heard about Buddha.If not google it . Now let’s get into the discussion .The discussion is as follows “once a man asked Buddha guruji everybody telling that you have attained something great.Could you tell me what you have actually attained for that Buddha told that “I have not actually attained anything rather I actually left the unnecessary things which are minimum to retain the supreme thing”. Do you know why the word retain is used instead of attained since it is there with us but the junk seems to be dominating it which has be to be filtered or cleaned in order to retain the information( like data mining) This word has much more powerful meaning than you think. This principle not only applied to programming it can be applicable to various scenarios(example in case of database normalized database is the best one).I am pointing to a specific scenario here called programming.This is the principle that every programmer wishes to attain it.Everybody can do a program.But it doesn’t mean that it is efficient and readable one.Only a few can achieve it in action by applying the Buddha principle.
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All free legal e- books avaialable on this site



Hope this may help you.I hope most of them will be interesting to you.
http://www.getfreeebooks.com/
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best youtube channels and sites for those who want to learn computer science



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Is Quantum mechanics really weird?(simple and easy explanation )



Sorry for some funny things .These are my own ideas. During the explanation you make think that I am going out of the topic but while you finish reading the entire post everything will makes sense.Also one more thing I want to say before entering the topic All are equal in intelligence God has given equal intelligence for all.then why some people can easily grab the concepts while others are not.The answer is very simple since the people who are intelligent ( sorry for using the word intelligent ) people they have found an easy way to grab the concept.

Some concepts are intuitive and weird means they are not incomprehensible.It means that you have not found a way to make sense out of it.It does means they can’t be understood by any people.Things which may seems simple are not really simple.If it seems simple means you have not looked at in different directions.When you look at the same problem in different directions you can see some interesting and intricating ideas.This is true for learning also.The ability may differ for some people but everyone is entering into the sea .

Is normal things are normal ,similarly abnormal things are abnormal ?Ans:The answer is No.Humans are always fooled by their intuitions(this answer will make sense at the end) Quantum mechanics is a kind of physics where people go at atom level and they observe something with the help of it they are predicting something related to the universe.Their predictions are much more counterintuitive when they keep on going much more smaller level.But is this really valid?.This is the thing I am going to explain with a simple example of numbers concept.

Oh! Sorry for saying the word simple for numbers.Because in reality we know numbers are not simple as we think.These are not just digits .They are real valid objects.Since you have no identity on your own.You are recognized by the society by the associated number you have like social security .they have just 10 digits but how they are able to rule the world compared to the alphabets of the language.English has 26 alphabets but japanese and some other languages have more than 6000 or more alphabets .why they didn’t win the battle with the numbers .The Answer is very simple .Actually I have told you the answer .The answer is the question itself.Isn’t it funny?.since in order to say that itself I have used an associated numbers .So everything in the world can be just decrypted by numbers.

Why quantum mechanics makes sense.I am going to explain with the philosophical concept associated with the number theory concept called cantor set.Since when infinity enters the battle philosophical things will come into action.okay lets get into action.

Cardinality is the number of elements in the given set .

e.g consider a set A={1,2,3} ,B={a,b,c} .The cardinality of A is 3 and that of B is 3.

Cantor said that the cardinality of these two sets {1,2,3,4,5,………………….} and {2,4,6,8,10,12,14……………} are equal.

Similarly we can say that {1,2,3,4,5……….} and {1000,1001,1002,1003,1004,…………..} are equal .So we can find the numerous examples like this when infinity enters the battle . Why the cardinality of the following sets{1,2,3,4,5…………….} and {2,4,6,8,10………} and {100,101,102,103………} and {1000,1001,1002,1003……..} are equal?

Are they really equal?What is happening at the backend.

Answers are simple and interesting but before that we need some prior definitions.

Discrete values: Anything that can be listed are called discrete values.e.g integers,rational numbers etc…so when we say integers we are looking at a isolated points on the real number lines . similarly for rational numbers case but you have to go depth in order to understand it.Since when you consider an interval example[0,1] the middle point gives another rational numbers for an infinite times .It does not means that they are completely dominating on the real line.But there are numbers called irrational numbers which are like microorganisms which are really dominating the real number line.They are the rulers of the real number line.Consider some basic biology terms dominant and recessive for fun.so that you can appreciate the beauty behind it.

Continuous values:Anything that can’t be listed are called continuous values.e.g [0,1],[1,2],R etc….but in case of continuous values you have never able to list them even if you take your full lifetime or the time of universe.You can’t even able to list the numbers within an interval within[0,1] itself.The cardinality of R and [0,1] are same.

If you know the limit concepts in calculus then recall it otherwise leave it .This will help you to make much more sense.But I will do it with simple examples than these intuitive concepts.

So we can see that natural numbers ,integers,rational numbers can also be listed so they are called as countable set .In simple words anything that is discrete can be listed so that they can be paired with others sets that are listed like these.why I told you to recall the limit concepts some things can be listed easily some requires little intelligence.

First I will explain in a cantor manner .And then in a childish way by me.Cantor said that any two sets that can be listed with another are countable .The two sets that can’t listed with one another are called uncountable(means there are different size of infinity)



So we can see natural numbers are countable.Similarly for integers
Now we can say that we can’t make pair with integers.so it can be said uncountable.This is what I said previously you have to look in all possible directions since we matched 1 with 1 and 2 with 2 and this is an infinite set we will number come back so we are not able to list the ordered pairs .It does not mean that it can’t be done .Now



We got the answer with the simple logic called oscillation between positive and negative numbers .So we can list now .so they are countable.similarly this holds true for rational numbers .

But now we got he question are all sets are countable no it is not consider a set between [0,1] with natural numbers .you can’t do a mapping like the prevous ones .why since you can never can list all the the numbers between 0 and 1. Cantor explain this with this simple cantor diagonalization proof which is very simple.

Suppose you have listed the three numbers(consider 3 for example)0.255356….0.34555891…0.6589…….

These are the numbers that you have listed and you are saying that you have listed all the numbers .then I can create a new number which is not in your list by looking at a diagonal unit matrix 0.357…..(3 replaced for first decimal no in first no and 5 for second decimal no in second no and 7 for third decimal no in third no).

Now my childish explanation consider a sphere of radius (conisder for example laddu)with small size and big sizes . now you can list them in pairs with one to one



In this way when you are pairing you do not give matter to big sizes mapped with small sizes ..Also it is discrete you are able to list them.

Now for funny visualization put into grinder and make a powder as possible as you can do now you can see that you are not able to list them so one-to-one matching is not possible .Also one more thing we can observe that sphere with big radius will obviously provide more powder compared to sphere with small radius.In this way we are unintentionally giving importance to sizes.This leads to a conclusion that there are sets which are not countable and also among them there are bigger sizes of infinity are there.why you are not able to list them because they are continuous.

Also this can be done with the simple graphically

e.g for {1,2,3,4……} and {2,4,6,8….} y=2x functions but defined only for isolated points


Which is a straight line for any given x value you can always find an corresponding y values.Similarly for {1,2,3,4……….} and {….,-4,-3,-2,-1,0,1,2,3,………} are as follows


When you look at graphically it will look like this .So now we can easily verify the cantor concept with a simple test called horizontal line test.

Horizontal line test:To determine whether the function is a one-to-one.Draw a horizontal at each solutions whether any other one more solution has been found on the horizontal line drawn.In this case and previous case which is no way possible so these are one-to-one function.


Before arriving to the conclusion one more simple example to understand it very deeply .why the word one-to-one function is very important .what role does it plays in the cantor’s concept.
Note:It is very important to analyze the defintion from nook and corner .Each word you consider unimportant may play a crucial role like the word here one-to-one.How depth you are going that is important that can decides your level of understanding of that concept especially this is true in case of mathematics.For you 0.9,0.99,0.999,0.9999..... all these may be equal but for a mathematician it is not.
you may leave it and put the number like 1 but behind it whole universe is arising that you can realize it's depth when you study only analysis and calculus at a greater depth.


Consider squares and square root of a number and as well as cube and root of a number
















As we can see the y=x^2 function since it is not one to one it does not cover the whole range so it’s inverse function is not defined for negative numbers where as in case of cube and cuberoot function that problem did not arise since it is one-to-one function.So it’s inverse function has values for all numbers including negative numbers.







So now we atlast arrived at the conclusion(moral of the story).the interval [0,1] is o neglible compared to the size of [-R,R] but we can get an complete idea about the universe of numbers by just taking a neglible part of it .Similarly quantum mechanics is valid .Actually the [0,1] is not a neglible part it is as same size as R .so studying the [0,1] means we are indirectly studying the entire real number line(entire universe of numbers)similarly this holds for quantum mechanics .scientists who are studying atoms and much smaller level are indirectly studying the universe.Everything in disguise.We have to come out of our ignorance in order to understand the reality.why is this because as albert Einstein said the two things are infinite. One is universe and another one is human stupidity .There is question about universe whether it is finite or not.But the second one is valid I think so.
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