Journey To The INFINITY

The whole Subject of Natural Philosophy  is based upon only one motivation and that is to predict the future of the things using the observations from present.. But as we dive deep into this topic we stumble upon some basic inconsistencies..The inconsistencies are about the Observer or more preciously which Observer is Superior over the others.. What is Relativity Suppose you and your friend both go to same school and a stranger asked you and your friend about the distance and direction of your school from your and yours friend houses respectively.. You replied your School is 5 KM away in the north and your friend replied it's 3 KM afar at the East.. Now the question arises who is telling the truth?? Or which description is more effective than the other?? The short answer is that both of you are correct.. both your and yours friend's description have some advantages and some disadvantages, as we ponder.. This Particular mindset or notion that Every description of a...

Thanks to the development of Natural Philosophy we've unveiled a great deal about the nature.. But Sometime Nature is too stubborn to unravel all its glory before the imbeciles like us.. We, creatively enough, named these glories, paradoxes.. This paradoxes may represent themselves in various ways.. Like whether Zeno's turtle wins the race or not, or Schrödinger's Cat is dead or alive.. (pay a visit to the omniscient Google to know about them and of their likings.) There is one particular Paradox which shapes our everyday life..And The paradox is of the Speed of Light.. Now you may say why should we care?? Then let me remind you from the very contraption on which you're now reading the raving of a lunatic, like me; to you, yourself, your existence are just some consequences of this CONSTANT, which we believe to be..To me, one must wonder about the very basic of our existence not just being a scientist but being a conscious being.. Enough of the introduction.. Th...

In our previous lesson we studied the origin of the Euler number e and also took a glance at its mathematical background(focused mainly on the deduction of the number).. In this part we'll see its magical and profound implications in our daily experiences and will also try to unravel why it is as it is.. Part 2 (The Mysterious appearances of e ):- From our previous lesson we came to know that wherever e appears in an equation, somehow some sort of growth or decay is lurking in the picture... For this property e ,it appears not only in Population Equation or Radioactive decay but also in Calculas , Probability ,  Statistics  some other crucial Equations and functions like Hyperbolic Function , Logarithmic Function ,   Gamma Function , Hardy-Ramanujan Partition Formula of Mathematics and even in Statistical Mechanics ,   Planck's Radiation Law etc... Today we'll take into account some regular cases like Population Growth, Radioactive Decay a...

After Archimedes' constant (π) the number (e) or Euler's number is perhaps the second most famous number in all Mathematics and Physics..It appears numerous occasions in various phenomenons from simple population growth, spread of pandemics, to radioactive decay etc.. So, in General wherever there is growth or decrement based on previous amount, somehow e is embedded there .. I am going to break this topic on two parts..In part one I will try to bring forth the basic properties of e and in second part I would try to explain why does it appear in various real world aspects... Part 1(The Mathematical Sorcery) The journey of begin with the curiosity of one of the Bernoulli brothers (Jacob Bernoulli)                                       Jacob Barnouli  Jacob Bernoulli was interested in Special kind of interest, Compound Interest ..It is a type of interest where each ...