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Please just do not neglect the topics other than the shortcuts. They are all posted for you. So please read them. The posts are, Expanding and condensing pattern, The law of UNIQUENESS, ZERO The expander and like that.

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Exponential Equations

Equations are the language of nature. When a person is simply forced to mug up an equation he/she tries to mug it up in a detesting mood. But there is no need to mug up. You just have to know why is it so. Exponential Equations are one of the important equations of nature in which its language is so significant. I know that significant word, but exposing in the web leads to criticisms. So just leave it. But to generally look upon the exponential equations, it can be given as:

N = N₀e^±λt

^{Actually here N is the final value. "t" is the time.} 

"λ" is another constant depending on the process.

N_{0 is called as the initial value.}

 _{The main thing here is the "e" called as the exponential constant. It is just a factor that has the value of 2.718. "e" is also called as Euler's constant after the person who gave it i.e. Leonhard Euler.}

_{Now, here what I wanted to tell is the importance of this equation. I will give examples that are of practical life which follow this equation. Population growth attains exponential growth. When you deposit an amount in the bank for Fixed Deposit, after some time that money would have increased in an exponential manner. When you keep a hot cup of coffee to cool down on the table, the speed at which the coffee cools down would be exponential.} 

_{"For this must I know this equation?", if you think like this, just leave that coffee example, but is the fixed deposit example not important to you?}

_{If you had a doubt about} λ, I will tell how it works. The bank will say that that this percent per annum the interest will be calculated no? That percent is that λ. Actually we call the symbol Lambda. If you know about the symbol please do not scold me. Just for others to know.

I think the above content helped you. If you have any doubts about these types of equations or if you have any suggestions also, just mail me at iforindia123@gmail.com. And sorry for the different sizes of text. It may be irritating for some people. Due to addition of symbols and equations into the content such things occurred.Please do not mind it, OK ?!

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Law of Uniqueness

           Each number whether in a addition or a subtraction or a multiplication or a division process maintains its own individuality.

          In Vedic Division shortcuts what I have observed is that the long form of division is so much reduced in size, that it makes the humans to calculate in a limited workspace. Some may feel that Vedic division is faster. It is because, when one searches for a shortcut, and if this process appears "as" shortcut, they say to themselves, "Oh yes, it is a shortcut. It will help me to do the calculations faster."

          But does it really help to calculate using mind? The real answer is "No". Certain people can do division using Vedic method so quickly because it is due to years of practice. And even some people like Scott Flansburg do the calculations in fractions of second and tell the answer immediately because, it is scientifically observed that, in his brain he has the ability to say the answer by "instinct". The doctor says such abilities may be due to genetic reasons.

         You know, shortcuts must be easier to learn and easier to use. Even the great math Prodigy Shakunthala Devi did not expose her secrets of mental math.

         Let it be. Soon we will find some shortcuts that can be easily practiced and easily used. However division is a different process. But with the help of Law of Uniqueness that numbers retain their individuality in all processes I will try to find some shortcuts in Division.

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