I luckily went on to Newton's laws which I already know. I was stuck with a fantastic question ( I have been seeing the newton's laws from my childhood, but I didn't notice these sort of observation ) . I was seeing the Force and Momentum. Force is based upon acceleration and Momentum on Velocity. Then I started realizing that they both are derivatives and integrals of each other. But I went further thinking something else. Why cant there be some other higher term which is the derivative of acceleration. What is rate of change of acceleration ?. What is its rate of change ?. What is its rate of Change?....., Why can't we proceed to infinite applying the derivative recursively ?. * Why did we stop only at Acceleration which is the 2-nd derivative of displacement ?. *That idea has lead to a profound realization of discovering a new space that looks elegant for me. The space is called D-Space. For a D(X)-Space the elements in that space are nothing but functions in X. Description of Space : D(X). D(X) contains all the functions in X. Every entity " M " in D(X) can be represented by a tuple < d^0(M), d^1(M),d^2(M)........d^n(M).........>. Where d^n(X) is the n-th derivative of X . The minimum 'n' for which the M vanishes is termed by me as Tolerance of M which is an integer ( Tolerance of M represents the patience of M to bear the rude derivatives without vanishing, like we bear the petrol hikes without stopping the usage of vehicles ;) ) . So for example SinX belongs to D(X) . SinX = < SinX, CosX, -SinX, -CosX,......> ( Since d^0(SinX)= SinX, d^1(SinX)= CosX....) . Its Tolerance is infinite . * If we consider all such tuples we can even add them defining a group operation. For example x^2=<x^2,2x,2,0,0,.....> and x=<x,1,0,0,0...>. Then x^2+x = < x^2+x, 2x+1, 2, 0, 0...>. So the pair wise addition luckily seems to hold perfectly. Even Multiplication too. So we can define a group D(X) with these properties. * In the same way there can be I(X) ( Integral group, where every element can be written as the tuple containing derivatives replaced by integrals ). I(X) and D(X) are inverses of each other. * So if we are given an D(X) the Displacement tuple contains Infinite tolerance. Displacement is M=< M, Velocity, Acceleration, ......>. * So this type of spaces can be used in differential algebra and also geometric analysis. Because we consider some smooth functions everywhere. Those can be easily represented by a map from D(X) . That is my idea. I am struggling to find an elegant application and put this forward.