Functions and Analysis

1703 Submissions

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

Higher Order Derivatives of the Inverse Function

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

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

Field Equations

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

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

Universal Evolution Model

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

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

Density Problem of Périat

Authors: F.L.B. Périat
Comments: 2 Pages.

This could help science going faster.
Category: Functions and Analysis

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

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

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

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

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

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

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

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

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

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

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

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

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

Proof of Global in Time Solvability of Incompressive NSIVP in the Whole Space Using Time Transformation Analysis (Japanese Version)

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

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

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

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

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

Proof of Global in Time Solvability of Incompressive NSIVP in Periodic Space Using Time Transformation Analysis (Japanese Version)

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

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

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

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