Algebra

1809 Submissions

[2] viXra:1809.0496 [pdf] submitted on 2018-09-23 06:40:07

Simulation of Nontribial Point of Riemann Zeta Function Ver.4

Authors: Toshiro Takami
Comments: 14 Pages.

Tried to simulate the nontribial point of the Riemann zeta function. At the beginning, we tried to be exactly the same value as the nontribial point of the Riemann Zeta function only with the degree of increase of the circle going up like wrapping x = 0.5, but the degree of increase varies from moment to moment extremely difficult It was judged impossible. Then I created an expression that can take approximate values, but always take lower values than the nontribial zeros of the Riemann zeta function except for the initial values. However, by increasing the degree of increase of the circle going up like winding x = 0.5, it became possible to take a value which can be said to be an approximate value. The degree of increase in circle was based on the formula of the nuclear energy value of uranium. Since the degree of increase of the zero point changes from moment to moment, satisfactory approximate values can not be obtained yet.
Category: Algebra

[1] viXra:1809.0485 [pdf] replaced on 2018-10-01 16:23:37

On The Non-Real Nature of x.0 (x in R*): The Set of Null Imaginary Numbers

Authors: Saulo Queiroz
Comments: 6 Pages.

In this letter we discuss the inconsistencies of $0/0\cdot x=y$, $x,y\in\real_{\ne 0}$ from the perspective of the zero property multiplication (ZPM) $x\cdot 0 = y\cdot 0$ on $\real$. We axiomatize $x\cdot 0$ as a number $\inull(x)$ that has a real part $\Re(\inull(x))=0$ but indeed is not real. From this we define the set of null imaginary numbers $\nullset$ as $\{\inull(x)|\forall x\in\real_{\ne 0}\} \cup \{0\}$. We present the elementary algebra on $\nullset$ based on the definitions of uniqueness (i.e., if $x\ne y\Leftrightarrow \inull(x)\ne \inull(y)$) and the null division (i.e., $\inull(x)/0=x\ne 0$). Also, \emph{under the condition of existence of $\nullset$}, we show that $0/0=\inull(0)/\inull(0)=1$ does not cause the logic trivialism of the real mathematic.
Category: Algebra