friends today i was comming from my college then a problem disturb my mind and i try to get a equcation of universe coz i heared that euler's equcation gives the equcation of universe then i take a step in that direction and try to solve . but as well as i go deeper than i found that it can take my all life to get a complete solution. in that study i learn some basic things which creat a strom in my mind so i am share here.
we all off know that euler's equcation e(i@) =cos@+i sin@ in this every onces know that @ is angle cos and sin are trigonometical function in which the imagenery axix is y and real axix is x and variable @ is angle. it can represented by a circular curve.
then
a question aries that what is the funda of this equcation........
then i found that taylor's equcation gives this equcation. "what and why need of taylor's equcation"
the solution of n th polinomial can solved by taylor's equcation.coz to solve that equcation In mathematics, the Taylor series is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. it is very efficient thing
in in this curve the black represented the sine wawe and other colour line is try to making approximate sine wave means n derivatives is try to making the required wave
same approach is here the red line is going to get required curve by changing is order
in combind way we can represente this in form of derivatives of equcation taking a variable (approaching this to its required value)
f(a)+f'(a)/!1(x-a)+f''(a)/!2 (x-a)2............
now a question again "why and what is complex no. and plane from where it come"
the ans with history is that:
A complex number is a number consisting of a real and imaginary part. It can be written in the form a + bi, where a and b are real numbers, and i is the standard imaginary unit with the property i 2 = −1.[1] The complex numbers contain the ordinary real numbers, but extend them by adding in extra numbers and correspondingly expanding the understanding of addition and multiplication.
Complex numbers were first conceived and defined by the Italian mathematician Gerolamo Cardano, who called them "fictitious", during his attempts to find solutions to cubic equations.[2] The solution of a general cubic equation in radicals (without trigonometric functions) may require intermediate calculations containing the square roots of negative numbers, even when the final solutions are real numbers, a situation known as casus irreducibilis. This ultimately led to the fundamental theorem of algebra, which shows that with complex numbers, a solution exists to every polynomial equation of degree one or higher. Complex numbers thus form an algebraically closed field, where any polynomial equation has a root.
now i think after the fundamental concept we again move to eller;s equcation and analysis that
The original proof is based on the Taylor series expansions of the exponential function ez (where z is a complex number) and of sin x and cos x for real numbers x (see below). In fact, the same proof shows that Euler's formula is even valid for all complex numbers z.
A point in the complex plane can be represented by a complex number written in cartesian coordinates. Euler's formula provides a means of conversion between cartesian coordinates and polar coordinates. The polar form reduces the number of terms from two to one, which simplifies the mathematics when used in multiplication or powers of complex numbers. Any complex number z = x + iy can be written as
z=x+iy=modz(cos@+isin@)
z bar=x-iy=modz(cos@-isin@)
now according to this there is two plane and the maximum value must be root-1 so after combind both planes the 3d view will be like:-
see curve and feel two plane with its maximum value and according to euler's calculas varition equcation combind the maximum and its minimum.
thus if we see this equcation with very closely then we will find that it is like a string with continuous value and according to partical physics in my view that the closely binding curve may represent a strong nuclier force which is the cause of creation of universe and called fundamental force. so in my view universe nature like string.
for m theory please keep in touch......
we all off know that euler's equcation e(i@) =cos@+i sin@ in this every onces know that @ is angle cos and sin are trigonometical function in which the imagenery axix is y and real axix is x and variable @ is angle. it can represented by a circular curve.
then
a question aries that what is the funda of this equcation........
then i found that taylor's equcation gives this equcation. "what and why need of taylor's equcation"
the solution of n th polinomial can solved by taylor's equcation.coz to solve that equcation In mathematics, the Taylor series is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. it is very efficient thing
in 
same approach is here the red line is going to get required curve by changing is order
in combind way we can represente this in form of derivatives of equcation taking a variable (approaching this to its required value)
f(a)+f'(a)/!1(x-a)+f''(a)/!2 (x-a)2............
now a question again "why and what is complex no. and plane from where it come"
the ans with history is that:
A complex number is a number consisting of a real and imaginary part. It can be written in the form a + bi, where a and b are real numbers, and i is the standard imaginary unit with the property i 2 = −1.[1] The complex numbers contain the ordinary real numbers, but extend them by adding in extra numbers and correspondingly expanding the understanding of addition and multiplication.
Complex numbers were first conceived and defined by the Italian mathematician Gerolamo Cardano, who called them "fictitious", during his attempts to find solutions to cubic equations.[2] The solution of a general cubic equation in radicals (without trigonometric functions) may require intermediate calculations containing the square roots of negative numbers, even when the final solutions are real numbers, a situation known as casus irreducibilis. This ultimately led to the fundamental theorem of algebra, which shows that with complex numbers, a solution exists to every polynomial equation of degree one or higher. Complex numbers thus form an algebraically closed field, where any polynomial equation has a root.
now i think after the fundamental concept we again move to eller;s equcation and analysis that
The original proof is based on the Taylor series expansions of the exponential function ez (where z is a complex number) and of sin x and cos x for real numbers x (see below). In fact, the same proof shows that Euler's formula is even valid for all complex numbers z.
A point in the complex plane can be represented by a complex number written in cartesian coordinates. Euler's formula provides a means of conversion between cartesian coordinates and polar coordinates. The polar form reduces the number of terms from two to one, which simplifies the mathematics when used in multiplication or powers of complex numbers. Any complex number z = x + iy can be written as
z=x+iy=modz(cos@+isin@)
z bar=x-iy=modz(cos@-isin@)
now according to this there is two plane and the maximum value must be root-1 so after combind both planes the 3d view will be like:-
see curve and feel two plane with its maximum value and according to euler's calculas varition equcation combind the maximum and its minimum.
thus if we see this equcation with very closely then we will find that it is like a string with continuous value and according to partical physics in my view that the closely binding curve may represent a strong nuclier force which is the cause of creation of universe and called fundamental force. so in my view universe nature like string.
for m theory please keep in touch......
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