**Previous months:**

2010 - 1003(1) - 1005(2) - 1008(2) - 1009(1) - 1010(2) - 1011(2) - 1012(1)

2011 - 1101(2) - 1103(3) - 1105(1) - 1108(1) - 1109(1) - 1111(2)

2012 - 1202(2) - 1203(3) - 1204(2) - 1205(2) - 1206(2) - 1207(1) - 1208(3) - 1211(1) - 1212(1)

2013 - 1301(1) - 1302(2) - 1303(4) - 1304(3) - 1305(2) - 1306(4) - 1309(3) - 1310(2) - 1311(2) - 1312(2)

2014 - 1401(2) - 1402(3) - 1403(639) - 1404(85) - 1405(59) - 1406(1) - 1407(4) - 1408(1) - 1409(2) - 1411(54) - 1412(19)

2015 - 1501(7) - 1502(18) - 1503(6) - 1504(7) - 1505(1) - 1506(6) - 1507(1) - 1508(111) - 1509(18) - 1510(143) - 1511(16) - 1512(176)

2016 - 1601(65) - 1602(28) - 1603(33) - 1604(38) - 1605(16) - 1606(24) - 1607(45) - 1608(36) - 1609(39) - 1610(9) - 1611(21) - 1612(25)

2017 - 1701(234) - 1702(9) - 1703(11) - 1704(20) - 1705(53) - 1706(79) - 1707(1) - 1708(9) - 1709(23) - 1710(17) - 1711(131) - 1712(7)

2018 - 1801(31) - 1802(31) - 1803(121) - 1804(37) - 1805(37) - 1806(8) - 1807(8) - 1808(164) - 1809(77) - 1810(20) - 1811(6) - 1812(13)

2019 - 1901(9) - 1902(14) - 1903(5)

Any replacements are listed farther down

[2984] **viXra:1903.0428 [pdf]**
*submitted on 2019-03-23 15:37:20*

**Authors:** Markos Karameris

**Comments:** 19 Pages.

A lot of controversy surrounds the use of Elliptic Curves in finite fields as Random Number Generators. There is little information however concerning the "randomness" of different procedures on Elliptic Curves defined over fields of characteristic $0$. The aim of this paper is to investigate the behaviour of the sequence $\psi_m=[m]P$ and then generalize to polynomial seuences of the form $\phi_m=[p(m)]P$. We examine the behaviour of this sequence in different domains and attempt to realize for which points it is not equidistributed in $\mathbb{C}/\Lambda$. We will first study the sequence in the space of Elliptic Curves $E(\mathbb{C})$ defined over the complex numbers and then reconsider our approach to tackle real valued Elliptic Curves. In the process we obtain the measure with respect to which the sequence $\psi$ is equidistributed in $E(\mathbb{R})$. In Section \ref{sec} we prove that every sequence of points $P_n=(x_n,y_n,1)$ equidistributed w.r.t. that measure is not equidistributed$\mod(1)$ with the obvious map $x_n\to\{x_n\}$. Finally we propose a PRNG based on polynomial sequences which will be studied in future work.

**Category:** General Mathematics

[2983] **viXra:1903.0280 [pdf]**
*submitted on 2019-03-14 12:05:33*

**Authors:** Andrew Alexander Logan

**Comments:** 9 Pages, 3 Figures Small addition on convergence of harmonic addition result for infinite series.

This paper investigates the characteristics of the zeros of the Riemann zeta function (of s) in the critical strip by using the Dirichlet eta function, which has the same zeros. The characteristics of the implicit functions for the real and imaginary components when those components are equal are investigated and it is shown that the function describing the value of the real component when the real and imaginary components are equal has a derivative that does not change sign along any of its individual curves - meaning that each value of the imaginary part of s produces at most one zero. Combined with the fact that the zeros of the Riemann xi function are also the zeros of the zeta function and xi(s) = xi(1-s), this leads to the conclusion that the Riemann Hypothesis is true.

**Category:** General Mathematics

[2982] **viXra:1903.0184 [pdf]**
*submitted on 2019-03-10 20:57:02*

**Authors:** Saburou Saitoh

**Comments:** 9 Pages. The results of José Manuel Rodríguez Caballero will be important historically on the division by zero calculus and so, we would like to know the exact information.

In this short paper, we will introduce an essence of the division by zero calculus and the situation from the viewpoint of computers that will contain a surprising news on the division by zero calculus.

**Category:** General Mathematics

[2981] **viXra:1903.0087 [pdf]**
*submitted on 2019-03-05 15:06:40*

**Authors:** F.L.B. Périat

**Comments:** 2 Pages.

A new lemma that permits it's proof

**Category:** General Mathematics

[2980] **viXra:1903.0067 [pdf]**
*submitted on 2019-03-04 12:49:54*

**Authors:** A.A. Salama, Florentin Smarandache

**Comments:** 5 Pages.

Abstracts for The Third International Scientific Conference of the Faculty of Nursing Port Said University 2017,
Neutrosophic Information Systems and Nursing Scientific Research.

**Category:** General Mathematics

[2979] **viXra:1902.0432 [pdf]**
*submitted on 2019-02-25 22:16:51*

**Authors:** Saburou Saitoh

**Comments:** 9 Pages. In this paper, as one important property of zero, we will simply show that zero expresses non-possibility.

In this paper, as one important property of zero, we will simply show that zero expresses non-possibility.

**Category:** General Mathematics

[2978] **viXra:1902.0410 [pdf]**
*submitted on 2019-02-24 18:01:31*

**Authors:** Toshiro Takami

**Comments:** 9 Pages.

Zeta star man, appearing in my dream and say it "There is a groove in 0.5 (longitudinal direction), but the groove gets very shallow when it leaves the zero point, but there are grooves in the lateral direction for non-obvious zeros"
0.5 is the vertical groove, the imaginary value of the nontrivial zero is the horizontal groove, the place [f(p)]here this intersects is a non-trivial zero point.
Therefore, the nontrivial zero point al[f(p)]ays exists on 0.5.
[f(p)]hen z = a + ib, z takes the minimum value [f(p)]hen a value is 0.5, and [f(p)]hen real value of b is non-trivial zero value, real value and imaginary value take the minimum value.
Also, z takes the minimum real value and imaginary value [f(p)]hen z is 0.5 [f(p)]hen the value of b is a value of a nontrivial zero.

**Category:** General Mathematics

[2977] **viXra:1902.0328 [pdf]**
*submitted on 2019-02-21 05:31:52*

**Authors:** Toshiro Takami

**Comments:** 5 Pages.

I had a dream. There was a ζ star.
It is in 7005 to 7006.5
I just told him to disappear.
I soon noticed that this was counter example.
Write before you die. Write in a hurry.
plot [{re [zeta [0.5002 + i t]], im [zeta [0.5002 + i t]]}, {t, 7005.0, 7005.1}]
I want you to see. It was a counter example.

**Category:** General Mathematics

[2976] **viXra:1902.0263 [pdf]**
*submitted on 2019-02-16 04:27:05*

**Authors:** Toshiro Takami

**Comments:** 2 Pages.

Infinite next is 0. Therefore, Riemann hypothesis is denied.
Infinity returns to 0.
0 is x = y = z = 0, that is, the origin.
The Big Bang is repeated from infinite long ago, but it has expanded infinitely from 0 to infinity, returning from infinity to 0. This repetition is the universe.
Therefore, Riemann hypothesis is denied.

**Category:** General Mathematics

[2975] **viXra:1902.0240 [pdf]**
*submitted on 2019-02-13 22:57:25*

**Authors:** Saburou Saitoh

**Comments:** 13 Pages. In this paper, we first fix the definitions of zero and infinity in very general senses and we will give their simple and definite relation by means of division by zero. On this problem and relation we have considered over the long history beyond mathema

In this paper, we first fix the definitions of zero and infinity in very general senses and we will give their simple and definite relation by means of division by zero. On this problem and relation we have considered over the long history beyond mathematics. As our mathematics, we will be able to obtain some definite result for the relation clearly with new concept and model since Aristotle and Euclid.

**Category:** General Mathematics

[2974] **viXra:1902.0238 [pdf]**
*submitted on 2019-02-14 00:28:27*

**Authors:** Surapati Pramanik, Rama Mallick

**Comments:** 10 Pages.

Multi-attribute decision making(MADM) strategy has been proposed to handle uncertain decision making problem .The most extensively used models of Grey system theory is grey relational analysis (GRA). This strategy was flourished by Chinese Professor J. Deng. This strategy also known as Deng’s Grey Incidence Analysis model. GRA uses a generic concept of intelligence. It describes any circumstance as, no information as black, and perfect information as white. Nevertheless, these idealized situations ever appear in real world problem. In this paper, we extend GRA strategy for multi attribute decision making in trapezoidal neutrosophic number (TrNN) environment. Here, we describe score and accuracy function for TrNNs. Then Hamming distance for twoTrNNs are also described. Lastly, a numerical problem is solved to explain thepertinence of the proposed strategy.

**Category:** General Mathematics

[2973] **viXra:1902.0221 [pdf]**
*submitted on 2019-02-12 23:41:31*

**Authors:** Hiroshi Okumura

**Comments:** 1 Page.

We consider why Brahmagupta did not refer to $z/0$ for $z\not=0$ but $0/0=0$.

**Category:** General Mathematics

[2972] **viXra:1902.0216 [pdf]**
*submitted on 2019-02-12 06:24:16*

**Authors:** Edgar Valdebenito

**Comments:** 13 Pages.

Esta nota muestra una integral para la constante Pi y algunos fractales.

**Category:** General Mathematics

[2971] **viXra:1902.0215 [pdf]**
*submitted on 2019-02-12 06:26:02*

**Authors:** Edgar Valdebenito

**Comments:** 1 Page.

This note presents a logarithmic integral for Pi.

**Category:** General Mathematics

[2970] **viXra:1902.0204 [pdf]**
*submitted on 2019-02-11 18:46:02*

**Authors:** Saburou Saitoh

**Comments:** 6 Pages. A new very interesting interpretation for negative areas of figures.

In this paper, we give a simple and surprising interpretation of minus areas of figures by means of the division by zero calculus 1/0=0.

**Category:** General Mathematics

[2969] **viXra:1902.0189 [pdf]**
*submitted on 2019-02-10 20:08:10*

**Authors:** Hugh Wang

**Comments:** 2 Pages.

What is mathematics? Why does it exist? Is it consistent? Is it complete? We answer these questions as well as resolve Russell’s Paradox and debunk Godel’s Incompleteness Theorem.

**Category:** General Mathematics

[2968] **viXra:1902.0187 [pdf]**
*submitted on 2019-02-10 22:40:35*

**Authors:** Saburou Saitoh

**Comments:** 6 Pages. By the concrete examples, we will be able to understand 1/0=0 with clear feelings.

The division by zero 1/0=0 was discovered on 2014.2.2, however, the result may still not be accepted widely with old and wrong feelings. Since we gave already logically mathematics on the division by zero, here we will give very good examples in order to see the division by zero 1/0=0 clearly. By these examples, we will be able to understand the division by zero as a trivial one.

**Category:** General Mathematics

[2967] **viXra:1902.0138 [pdf]**
*submitted on 2019-02-07 22:47:16*

**Authors:** John Sherfey

**Comments:** 1 Page. Idk

This is a test to see how well this works

**Category:** General Mathematics

[2966] **viXra:1902.0078 [pdf]**
*submitted on 2019-02-05 01:56:12*

**Authors:** D Williams

**Comments:** 11 Pages.

Part II provides more details and examples of an alternative probability theory as outlined previously in "A Possible Alternative Model of Probability?" which should be considered as Part I. Some alternative estimators (dx-less, "wild") are given that seem to be better at estimating stochastic expressions than expectations, along with some BASIC programs for estimating finite product approximations. Please help in solving the many unanswered questions involving this work.

**Category:** General Mathematics

[2965] **viXra:1902.0058 [pdf]**
*submitted on 2019-02-03 22:47:53*

**Authors:** Saburou Saitoh

**Comments:** 7 Pages. It is a famous word that we are not permitted to divide the numbers and functions by zero. In our mathematics, {\bf prohibition} is a famous word for the division by zero. For this old and general concept, we will give a simple and affirmative answer. In

It is a famous word that we are not permitted to divide the numbers and functions by zero. In our mathematics, {\bf prohibition} is a famous word for the division by zero. For this old and general concept, we will give a simple and affirmative answer. In particular, certainly we gave several generalizations of division as in referred in the above, however, we will wish to understand with some good feelings for {\bf the division by zero}. We wish to know the division by zero with some good feelings. We wish to give clearly a good meaning for the division by zero in this paper.

**Category:** General Mathematics

[2964] **viXra:1901.0444 [pdf]**
*submitted on 2019-01-29 06:25:37*

**Authors:** Edgar Valdebenito

**Comments:** 2 Pages.

Esta nota muestra tres integrales definidas.

**Category:** General Mathematics

[2963] **viXra:1901.0432 [pdf]**
*submitted on 2019-01-28 20:29:31*

**Authors:** Toshiro Takami

**Comments:** 10 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:** General Mathematics

[2962] **viXra:1901.0399 [pdf]**
*submitted on 2019-01-27 01:52:36*

**Authors:** Toshiro Takami

**Comments:** 3 Pages.

ζ(3),ζ(5),ζ(7),ζ(9),ζ(11),ζ(13) was obtained by another method.
and
and
zeta(3) =[{=[{-1.034353-[log(2)]^3}*12- 4*log^3(2)+pi^3*log(4))]*(1/21)=-[log(2)]^3}*12-4*log^3(2)+pi^2 log(4))]*(1/21)=1.202056903160......
=zeta(3)
zeta(3) =[11.5610+pi^2*log(4)]*(1/21)=1.202056903160......
\begin{equation}
\zeta(5)=1.19693- log^5(2)= 1.03693...
\end{equation}

**Category:** General Mathematics

[2961] **viXra:1901.0267 [pdf]**
*submitted on 2019-01-18 09:55:56*

**Authors:** Timothy W. Jones

**Comments:** 6 Pages.

The full potential of elementary algebra is presented. A simple regression problem demonstrates how programming can be combined with linear regression. The math and programming are simple enough for any algebra class that uses a TI-83 family calculator.

**Category:** General Mathematics

[2960] **viXra:1901.0209 [pdf]**
*submitted on 2019-01-14 17:11:15*

[2959] **viXra:1901.0154 [pdf]**
*submitted on 2019-01-11 06:25:44*

**Authors:** Edgar Valdebenito

**Comments:** 1 Page.

Esta nota muestra una integral elemental.

**Category:** General Mathematics

[2958] **viXra:1901.0153 [pdf]**
*submitted on 2019-01-11 06:28:59*

**Authors:** Edgar Valdebenito

**Comments:** 69 Pages.

Esta nota muestra una colección de fractales.

**Category:** General Mathematics

[2957] **viXra:1901.0100 [pdf]**
*submitted on 2019-01-09 01:40:30*

**Authors:** Jianwen Huang, Jianjun Wang, Feng Zhang, Hailin Wang

**Comments:** 17 Pages.

In this paper, we bring forward a completely perturbed nuclear norm minimization method to tackle a formulation of completely perturbed low-rank matrices recovery. In view of the matrix version of the restricted isometry property (RIP) and the Frobenius-robust rank null space property (FRNSP), this paper extends the investigation to a completely perturbed model taking into consideration not only noise but also perturbation, derives sufficient conditions guaranteeing that low-rank matrices can be robustly and stably reconstructed under the completely perturbed scenario, as well as finally presents an upper bound estimation of recovery error. The upper bound estimation can be described by two terms, one concerning the total noise, and another regarding the best $r$-approximation error. Specially, we not only improve the condition corresponding with RIP, but also ameliorate the upper bound estimation in case the results reduce to the general case. Furthermore, in the case of $\mathcal{E}=0$, the obtaining conditions are optimal.

**Category:** General Mathematics

[2956] **viXra:1901.0025 [pdf]**
*submitted on 2019-01-04 00:51:50*

**Authors:** Sai Venkatesh Balasubramanian

**Comments:** 4 Pages.

Every number, every equation carries profound meaning, not just physically, but in the bigger scheme of things. We set out to study and uncover them.

**Category:** General Mathematics

[2955] **viXra:1812.0480 [pdf]**
*submitted on 2018-12-31 00:05:05*

**Authors:** Kohji Suzuki

**Comments:** 28 Pages.

We explore classification of conics from a viewpoint of differential forms.

**Category:** General Mathematics

[2954] **viXra:1812.0410 [pdf]**
*submitted on 2018-12-24 16:22:46*

**Authors:** Kohji Suzuki

**Comments:** 4 Pages.

The interested reader is invited to solve these exercises.

**Category:** General Mathematics

[2953] **viXra:1812.0361 [pdf]**
*submitted on 2018-12-21 02:55:08*

**Authors:** Toshiro Takami

**Comments:** 2 Pages.

ζ (3) was obtained by another method.
\sum_{k=1}^\infty \frac{1}{k^2*2^(k-1)}+(log2)^2
=π^2/6 =ζ(2)
\sum_{k=1}^\infty \frac{1}{k^3*2^(k-1)}+(log2)^3≈1.40745
zeta(3)= 1.202056903160…..

**Category:** General Mathematics

[2952] **viXra:1812.0350 [pdf]**
*submitted on 2018-12-19 08:04:33*

**Authors:** Nicolò Rigamonti

**Comments:** 8 Pages.

This paper shows the importance of two properties, which are at the base of the Riemann hypothesis.
The key point of all the reasoning about the validity of the Riemann hypothesis is in the fact that only if the Riemann hypothesis is true, these two properties, which are satisfied by the non-trivial zeros, are both true.
In fact, only if these two properties are both true , all non-trivial zeros lie on the critical line

**Category:** General Mathematics

[174] **viXra:1902.0410 [pdf]**
*replaced on 2019-02-25 21:49:36*

**Authors:** Toshiro Takami

**Comments:** 4 Pages.

Abstract
From the graph, we see that the line of a = 0.5 runs in the middle.
If a = 0.5 and the curve on the right side is y is sufficiently large, It will run immediately, but never touch.
The formula (2) is an expression that holds when infinitely going on, and it will not hold if it stops halfway.
The figure below is a graph of complex numbers on the plane.
I can prove not to take the zero point at a <0.5, 0.5 <a.

**Category:** General Mathematics

[173] **viXra:1902.0328 [pdf]**
*replaced on 2019-02-22 07:34:39*

**Authors:** Toshiro Takami

**Comments:** 24 Pages.

I had a dream. There was a ζ star.
It is in 7005 to 7006.5
I just told him to disappear.
I soon noticed that this was counter example.
Write before I die. Write in a hurry.
plot [{re [zeta [0.5002 + i t]], im [zeta [0.5002 + i t]]}, {t, 7005.0, 7005.1}]
I want you to see. It was a counter example.
Perhaps I did not try to ascertain the 73 counterexamples that I showed, so it seems that the ζ star showed me.
zeta(0.5006 + 7005.06134015327676558264694240626505583787 i)= 1.99722... × 10^-40 - 0.000704980... i
However, this value was examined up to the minus 40th power in the real part, but it was judged that the imaginary part did not decrease and it can not be said to be zero point and counter example.

**Category:** General Mathematics

[172] **viXra:1902.0328 [pdf]**
*replaced on 2019-02-21 06:13:19*

**Authors:** Toshiro Takami

**Comments:** 6 Pages.

I had a dream. There was a ζ star.
It is in 7005 to 7006.5
I just told him to disappear.
I soon noticed that this was counter example.
Write before I die. Write in a hurry.
plot [{re [zeta [0.5002 + i t]], im [zeta [0.5002 + i t]]}, {t, 7005.0, 7005.1}]
I want you to see. It was a counter example.
Perhaps I did not try to ascertain the 73 counterexamples that I showed, so it seems that the ζ star showed me.

**Category:** General Mathematics

[171] **viXra:1902.0263 [pdf]**
*replaced on 2019-03-15 03:58:53*

**Authors:** Toshiro Takami

**Comments:** 2 Pages.

Have you ever received emails from the future or letters from the future? It is a person who is thinking of making a time machine seriously. If you put a letter to the past in the Tesla coil (the space must be reversed in the coil) and put a stamp, Japan should definitely put it in the post even if it is on the way (In the Showa era when it was once peaceful). In that way, I would like to write a warning letter to the past.

**Category:** General Mathematics

[170] **viXra:1901.0432 [pdf]**
*replaced on 2019-03-19 02:35:04*

**Authors:** Toshiro Takami

**Comments:** 30 Pages.

Tried to simulate the non-tribial zero point of the Riemann zeta function.
At the beginning, we tried to be exactly the same value as the non-tribial zero 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.
And in the last paper, I made a compromise in (3).
I found that non-trivial zeros exist near the curve which can be expressed by the equation (1) and (2).
Non-trivial zeros are dotted around this curve.
The factor of 2.0123 may also change slightly if it is raised further.

**Category:** General Mathematics

[169] **viXra:1901.0432 [pdf]**
*replaced on 2019-03-18 03:41:09*

**Authors:** Toshiro Takami

**Comments:** 35 Pages.

Tried to simulate the nontribial zero point of the Riemann zeta function.
At the beginning, we tried to be exactly the same value as the nontribial zero 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.
And as a result of various verifications, I found that the formula for finding nontrivial zeros is such that x = 0.5.
From the original, we found that nontrivial zeros are in the vicinity of x = 0.5, but not exactly x = 0.5 but exist in the vicinity.
And I found that nontrivial zeros exist near the curve which can be expressed by the equation (1) and (2).
The factor of 2.0123 may also change slightly if it is raised further.
That is, nontrivial zeros are near x = 0.5 from the beginning, and never above x = 0.5.
The formula for finding nontrivial zeros is such that the nontrivial zero is x = 0.5, and since 150 years ago, there are no nontrivial zeros not on x = 0.5 and there are in the vicinity.

**Category:** General Mathematics

[168] **viXra:1901.0432 [pdf]**
*replaced on 2019-03-15 08:26:51*

**Authors:** Toshiro Takami

**Comments:** 12 Pages.

Tried to simulate the nontribial zero point of the Riemann zeta function.
At the beginning, we tried to be exactly the same value as the nontribial zero 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:** General Mathematics

[167] **viXra:1901.0432 [pdf]**
*replaced on 2019-03-14 23:29:48*

**Authors:** Toshiro Takami

**Comments:** 11 Pages.

Tried to simulate the nontribial zero point of the Riemann zeta function.
At the beginning, we tried to be exactly the same value as the nontribial zero 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:** General Mathematics

[166] **viXra:1901.0267 [pdf]**
*replaced on 2019-02-07 09:37:49*

**Authors:** Timothy W. Jones

**Comments:** 9 Pages. Typos corrected with additiional commentary added.

The full potential of elementary algebra to precipitate a human quantum leap is presented. A simple regression problem demonstrates how programming can be combined with linear regression. The math and programming are simple enough for any algebra class that uses a TI-83 family calculator. The problem fully considered might enable students to see the picture and evolve to a better place.

**Category:** General Mathematics

[165] **viXra:1901.0267 [pdf]**
*replaced on 2019-01-22 10:42:33*

**Authors:** Timothy W. Jones

**Comments:** 7 Pages. A few corrections and amplifications.

The full potential of elementary algebra to precipitate a human quantum leap is presented. A simple regression problem demonstrates how programming can be combined with linear regression. The math and programming are simple enough for any algebra class that uses a TI-83 family calculator. The problem fully considered might enable students to see the picture and evolve to a better place.

**Category:** General Mathematics

[164] **viXra:1812.0361 [pdf]**
*replaced on 2018-12-21 14:13:22*

**Authors:** Toshiro Takami

**Comments:** 2 Pages.

ζ (3) was obtained by another method.
\begin{equation}
\zeta(3) =\frac{-17.74063+\pi^3 log(4)}{21}= \end{equation}
and
\begin{equation}
\zeta(3) =\frac{11.5610 +\pi^2\log(4)}{21} \end{equation}

**Category:** General Mathematics

[163] **viXra:1812.0361 [pdf]**
*replaced on 2018-12-21 02:58:52*

**Authors:** Toshiro Takami

**Comments:** 2 Pages.

ζ (3) was obtained by another method.
\sum_{k=1}^\infty \frac{1}{k^2*2^(k-1)}+(log2)^2
=π^2/6 =ζ(2)
\sum_{k=1}^\infty \frac{1}{k^3*2^(k-1)}+(log2)^3≈1.40745
=
zeta(3)= 1.202056903160…..

**Category:** General Mathematics