positions of numbers

[AntonioLao]

The totality of all positions of real numbers in one dimension is called the real number line. This is a straight line of infinite extent. By convention, this extension is toward negative infinity on the left and toward positive infinity on the right. The midpoint of this extension is represented by the whole number zero. The science of number allows three arithmetic operations for the whole number zero. These are addition, subtraction, and multiplication. Nonetheless, for the arithmetic operation of division, zero as a divisor is not defined while zero as a dividend is defined. This mathematical fact can easily be checked by using a simple handheld electronic calculator. The totality of all positions of complex numbers in two dimensions is called the complex plane. This plane is constructed by passing a perpendicular line thru the midpoint of the real line. This line is called the imaginary number line of infinite extent and by convention it extends to positive imaginary infinity at the top and extends to negative imaginary infinity at the bottom. Although the cardinality of real number exists along the real line, the cardinality of complex numbers does not exist anywhere on the complex plane.


The totality of all positions of repetitive whole numbers in two dimensions is called the sieve of Diophantus. This sieve is a matrix of infinite order. However, by convention, infinitely many elements of the matrix occupy the upper left triangle, which is not necessarily an isosceles right triangle since each element is determined by the Diophantine expression 2m+3n where m and n are matrix indices taking integer values (including the whole number zero) from 0, 1, 2, 3 … to infinity. This elemental triangle becomes symmetrical if and only if the index coefficients are equal and the inverse of any arbitrary two by two square matrices is a symmetric Hadamard matrix. Larger and larger elements two by two square Hadamard matrices would always be associated with the multiplicative factor of the multiples of 1/6. This would suggest the inherent three dimensionality of the sieve of Diophantus since any arbitrary cube in 3-space always has 6 faces, which is spanned by three pairs of opposite sieves and where the 8 vertices of the cube represent the eight directional invariance properties.

[mkirkpatrick]

It is most important the positioning of numbers,from one all else follows.


regards michael.

[AntonioLao]

The positioning of numbers can atmost constructed in three or less dimensions. Positions in the 4th dimension have no meaning in a quantum theory of the space-time continuum.

[mkirkpatrick]

The positioning of numbers can atmost constructed in three or less dimensions. Positions in the 4th dimension have no meaning in a quantum theory of the space-time continuum.

Thanks for that,I had not realised that.

regards michael.

[AntonioLao]

The four dimensions of special and general theory of relativity is really one dimension of space-time. This is undertandable if the concept of dimension is replaced by the concept of direction.

[mkirkpatrick]

The four dimensions of special and general theory of relativity is really one dimension of space-time. This is undertandable if the concept of dimension is replaced by the concept of direction.

Right,but there is only one direction we can use right?

regards michael.

[AntonioLao]

Right. I'm advocating that physical laws can be understood simpler in one dimension as a quantum theory of direction of the space-time continuum.

[mkirkpatrick]

Right. I'm advocating that physical laws can be understood simpler in one dimension as a quantum theory of direction of the space-time continuum.

That sounds like a sensible thing to do,we need to keep it simple.


regards michael.

[AntonioLao]

That's right. But most writers want to make it complicated. Complicated plots in fiction novels seem to sell more books. People are still intrigue about complicated conspiracy theory of JFK assasination.

[mkirkpatrick]

That's right. But most writers want to make it complicated. Complicated plots in fiction novels seem to sell more books. People are still intrigue about complicated conspiracy theory of JFK assasination.

Yes that does seem to be the case.

regards michael.