General Mathematics

2312 Submissions

[4] viXra:2312.0133 [pdf] submitted on 2023-12-25 21:57:40

Uchida's Identities and Simple Results of 1/0=0/0= Tan(π/2)= Cot(π/2)=0

Authors: Saburou Saitoh
Comments: 4 Pages.

In this note, we would like to show the simple results 1/0=0/0= tan(π/2)= cot(π/2)=0 based on the simple identities that are discovered by Keitaroh Uchida. The logic and results are all reasonable and exceptionally pleasant lookings for high school students.
Category: General Mathematics

[3] viXra:2312.0104 [pdf] submitted on 2023-12-21 01:29:26

Convergence Condition for the Newton-Raphson Method: Application in Real Polynomial Functions

Authors: Juan Jorge Isaac Lopez
Comments: 5 Pages.

The Newton-Raphson method applies to the numerical calculation of the roots of Real functions, through successive approximations towards the Root of the function. The Newton-Raphson method has the drawback that it does not always converge. This work establishes the convergence condition of the Newton-Raphson method for Real functions in general; once the convergence condition is met, the method will always converge towards the Root of the function. In this work, the development of the application of the convergence condition is established to specifically solve Real polynomial functions.
Category: General Mathematics

[2] viXra:2312.0074 [pdf] submitted on 2023-12-13 01:09:03

Abraham Sharp's Formula

Authors: Edgar Valdebenito
Comments: 9 Pages.

In 1699,Abraham Sharp calculates pi to 72 decimal places by taking x=1/sqrt(3) in Gregory's series.
Category: General Mathematics

[1] viXra:2312.0008 [pdf] submitted on 2023-12-02 13:49:01

Weighted Riemann Zeta Limits on the Real Axis

Authors: Han Geurdes
Comments: 7 Pages.

It is investigated whether for real argument s the (s−1)n+1 weighted Riemann zeta ζ(n)(s) limits s ↓ 1 do exist. Here, we will look into n = 0,1. The answer to the question could very well be that assuming existence to be true gives a confusing outcome. That may support the possibility of incompleteness in concrete mathematics.
Category: General Mathematics