[13] **viXra:1703.0295 [pdf]**
*submitted on 2017-03-31 06:45:36*

**Authors:** Andrej Liptaj

**Comments:** 7 Pages.

A general recursive and limit formula for higher order derivatives of the inverse function is presented. The formula is next used in couple of mathematical applications: expansion of the inverse function into Taylor series, solving equations, constructing random numbers with a given distribution from uniformly distributed randomnumbers and expanding a function in the neighborhood of a given point in an alternative way to the Taylor expansion.

**Category:** Functions and Analysis

[12] **viXra:1703.0261 [pdf]**
*submitted on 2017-03-28 03:24:35*

**Authors:** J.A.J. van Leunen

**Comments:** 4 Pages.

Field equations occur in many physical theories. Most dynamic fields share a set of first and second order partial differential equations and differ in the kinds of artifacts that cause discontinuities. The paper restricts to first and second order partial differential equations. These equations can describe the interaction between the field and pointlike artifacts. The paper treats periodic and one-shot triggers in maximally three spatial dimensions. The paper applies quaternionic differential calculus. It uses the quaternionic nabla operator. This configuration implements the storage of dynamic geometric data as a combination of a proper timestamp and a three-dimensional spatial location in a quaternionic storage container. The storage format is Euclidean. The paper introduces warps and clamps as new types of super-tiny objects that constitute higher order objects.

**Category:** Functions and Analysis

[11] **viXra:1703.0253 [pdf]**
*submitted on 2017-03-27 00:05:14*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 9 Pages.

In this research investigation, the author has prevented a novel scheme of Universal Evolution Model.

**Category:** Functions and Analysis

[10] **viXra:1703.0184 [pdf]**
*submitted on 2017-03-19 09:23:11*

**Authors:** F.L.B. Périat

**Comments:** 2 Pages.

This could help science going faster.

**Category:** Functions and Analysis

[9] **viXra:1703.0135 [pdf]**
*replaced on 2017-03-29 06:22:52*

**Authors:** Naoya Isobe

**Comments:** 13 Pages.

Proof of Global in Time Solvability of Incompressive NSIVP in the Whole Space Using Time Transformation Analysis.

**Category:** Functions and Analysis

[8] **viXra:1703.0134 [pdf]**
*replaced on 2017-03-29 06:21:16*

**Authors:** Naoya Isobe

**Comments:** 1 Page.

Key point of the proof (Proof of Global in Time Solvability of Incompressive NSIVP in the Whole Space Using Time Transformation Analysis).

**Category:** Functions and Analysis

[7] **viXra:1703.0133 [pdf]**
*replaced on 2017-03-29 06:19:34*

**Authors:** Naoya Isobe

**Comments:** 15 Pages.

Proof of Global in Time Solvability of Incompressive NSIVP in Periodic Space Using Time Transformation Analysis.

**Category:** Functions and Analysis

[6] **viXra:1703.0132 [pdf]**
*replaced on 2017-03-29 06:17:44*

**Authors:** Naoya Isobe

**Comments:** 1 Page.

Key point of the proof (Proof of Global in Time Solvability of Incompressive NSIVP in Periodic Space Using Time Transformation Analysis).

**Category:** Functions and Analysis

[5] **viXra:1703.0121 [pdf]**
*replaced on 2017-03-29 06:11:05*

**Authors:** Naoya Isobe

**Comments:** 12 Pages.

Proof of Global in Time Solvability of Incompressive NSIVP in the Whole Space Using Time Transformation Analysis.

**Category:** Functions and Analysis

[4] **viXra:1703.0120 [pdf]**
*replaced on 2017-03-29 06:09:07*

**Authors:** Naoya Isobe

**Comments:** 1 Page.

Key point of the proof (Proof of Global in Time Solvability of Incompressive NSIVP in the Whole Space Using Time Transformation Analysis).

**Category:** Functions and Analysis

[3] **viXra:1703.0119 [pdf]**
*replaced on 2017-03-29 06:06:14*

**Authors:** Naoya Isobe

**Comments:** 14 Pages.

Global in time solvability of incompressive Navier-Stokes initial value problem in periodic space is proved using time transformation analysys.

**Category:** Functions and Analysis

[2] **viXra:1703.0118 [pdf]**
*replaced on 2017-03-29 06:02:51*

**Authors:** Naoya Isobe

**Comments:** 1 Page.

Key point of the proof (Proof of Global in Time Solvability of Incompressive NSIVP in Periodic Space Using Time Transformation Analysis)

**Category:** Functions and Analysis

[1] **viXra:1703.0036 [pdf]**
*submitted on 2017-03-04 09:10:26*

**Authors:** Antoine Balan

**Comments:** 4 Pages. written in French

We study the periodic Navier-Stokes equations with help of holomorphic functions bounded with the Fourier series of the solution of the equations.

**Category:** Functions and Analysis