| viXra.org > Functions and Analysis > 2005 |
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| viXra.org > Functions and Analysis > 2005 |
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[3] viXra:2005.0256 [pdf] submitted on 2020-05-27 12:00:03
Authors: Dmitri Martila
Comments: 2 Pages.
The Limits and infinitesimal numbers were invented by the fathers of Science like Newton and Leibniz. However, a hypothetical being from another star system could have developed more realistic mathematics [in my opinion the mathematics should be defined via numbers of our fingers and the actions (like adding) with them]. In this note, I am showing the paradox of the current version of ``highest mathematics''.
Category: Functions and Analysis
[2] viXra:2005.0159 [pdf] replaced on 2024-08-03 18:56:15
Authors: Teo Banica
Comments: 400 Pages.
This is an introduction to noncommutative geometry, from an affine viewpoint, that is, by using coordinates. The spaces $mathbb R^N,mathbb C^N$ have no free analogues in the operator algebra sense, but the corresponding unit spheres $S^{N-1}_mathbb R,S^{N-1}_mathbb C$ do have free analogues $S^{N-1}_{mathbb R,+},S^{N-1}_{mathbb C,+}$. There are many examples of real algebraic submanifolds $Xsubset S^{N-1}_{mathbb R,+},S^{N-1}_{mathbb C,+}$, some of which are of Riemannian flavor, coming with a Haar integration functional $int:C(X)tomathbb C$, that we will study here. We will mostly focus on free geometry, but we will discuss as well some related geometries, called easy, completing the picture formed by the 4 main geometries, namely real/complex, classical/free.
Category: Functions and Analysis
[1] viXra:2005.0048 [pdf] replaced on 2020-05-14 14:32:51
Authors: Isaac Mor
Comments: 26 Pages. Dirichlet Eta Function Negative Integer Formula without using the zeta function in the form of a polynomial of a single indeterminate.
f(x)=1n−2n+3n−4n+5n−6n+...+xn=???
Pages 22 & 23 were fixed!
but everything else is still good :)
Category: Functions and Analysis
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