Tuesday 12 May 2015

quantaum mathematics chapter 9 : oscillating number 130

Chapter 9  oscillating number

as you know about indium function which is a additivie function
ex:  i(10)=i(5)+i(2)=p(5)+p(2)=11+3=14
now if you repeatedly apply then you get a prime number after it goes on incresing. for example
i(38)=i(19)+i(2)=67+3=70
i(i(38))=i(70)=i(7)+i(5)+i(2)=17+11+3=31=i^2(38)
i( i(i(38)))=i(31)=127

after applying it the number keep on increasing but there are certain numbers in which it don't happen
such numbers are called oscillating number
i^n(m)=m 
then m is oscillating number n is natural number also n is called frequency. first oscillating number is 130 in which frequency is 7.
                                                        

i(130)=i(2)+i(5)+i(13)=3+11+41=55

i^2(130)=i(55)=i(5)+i(11)=42

i^3(130)=i(42)=i(7)+i(2)+i(3)=17+3+5=25

i^4(130)=i(25)=2*i(5)=2*11=22

i^5(130)=i(22)=i(11)+i(2)=34

i^6(130)=i(34)=i(17)+i(2)=62

i^7(130)=i(62)=i(31)+i(2)=130

also number that occurs are also oscillating for example
22,25,34,42,55,62  are partially oscillating number with 130

Monday 11 May 2015

quantaum mathematics Chapter 8 uses of helium function

Chapter 8 Uses of helium Function

there is a lot of uses of helium function in solving prime numbers
  1. first use is that it could be use to find the total number of distinct prime factors a number has using euler's totient function.
  2. second use is about finding the number of primes between x(x+1) and (x+1)(x+2), i had found that number of primes between the the given range is equal to h(x(x+1)). it could be further be generalized to x(x+1)+1 and (x+1)(x+2)+1 because the the single value of helium function is almost constant or variation is very slow.
  3. third use is in measuring the randomness of prime numbers, it could also be generalized for natural numbers.
randomness of prime graph is

it is interesting to note that natural number upto 12 have zero randomness. and the first randomness is found in natural number 13 of unit randomness also unit of randomness is chanchal which itself means randomness.

you can see the variation of blue line and red line .
4. helium function could be used to find the group number of primes.
h(n)=2h+1  n belongs to h group of prime if n is  replaced by 10^m then it is very useful.

quantaum mathematics chapter 7 uses of Random functions

Chapter 7     Uses Of Random Functions

in this chapter you will find about the various uses of random functions.

7.1 uses of The God Function 

  1.  used in super conjecture,numerology is fully based on  the god function
  2. some properties of god function are , if d(n)=n then n will be prime exception 4
  3. it could used to produce random euler's number as
4. d(n) is related to pi as follows




there might be an error please verify it

5. it could be used to calculate the nth term of prime precisely
      n=z*d(pn-1)
113=p(30)
30=2*(d(112))
there exit many kind of above different formulas formulas
6. there are many numbers in which god function becomes equal to 







Sunday 10 May 2015

Quantaum mathematics Chapter 6:quantaum prime conjecture

Chapter 6 The Quantaum Prime conjecture

prime gap is connected to geo function here is what i founded
interesting prime density is itself govern by prime gap itself.

quantaum mathematics chapter 5 : quantaum nth term of prime

Chapter 5 Quantaum nth term of prime

using random function we could find the nth term of prime precisely and accurately also.
to find nth term precisely i had found these formulas

calculating nth term using helium function accurately




calculating nth term Precisely using Random Functions





calculating Nth term of prime using minimum operator and prime gap, also using infinity

note that d(3!)=d(3)+d(2)+d(1)

similarly for others


Quantaum Mathematics: Chapter 4 quantaum geometry

Chapter 4 The Quantaum Geometry

this chapter deals with quantaum geometry.

what quantaum geometry really is?

quantaum geometry is a special kind of co-ordinate geometry in which numbers are replaced with random numbers,on any of the axis.

Types of quantaum plane

m*b^0=m     if  this is satisfied on all 3 axis then it is 3-3 D plane. it is useful in describing the motion of planets to the atom.random number do not exit on any axis.

m*b^m  it will have many but finite value . on the basis of this 3 kind of co-ordinate exit
  • 2-3 D plane in which 1 axis has random number plotted on it.
  • 1-3 D plane in which 2 axis has random number plotted on it.
  • 0-3 D plane in which all 3 axis has random number plotted on it.

Uses of Quantaum Geometry

in near by future we will face many kind of particle and thier random functions, in that case quantaum geometry will be helpful in understanding their random function. i am making few predictions of the use of quantaum geometry.
  • electron motion could be understand in 2-3 D plane.
  • bosons,photons,etc could be understand in 1-3 D plane.
  • the ultimate particle, if exit could be understand in 0-3 D plane

the point of coincident is that at below the minimum label randomness exit , it is also shown in the nature,
in nature atom is the minimum and below minimum that is electron motion random .
 



quantaum mathematics chapter 3 : the theory of minimum

Chapter 3 The theory of Minimum

in this chapter i will prove that randomness exit below the minimum , same as that of atomic level.

the minimum operator


the minimum conjecture:

 it states that if we decrease any number below minimum value then it will behave as a random number.
proof 

so, one thing is proved that below the minimum randomness exist.