Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Greensite, Fred"'
Autor:
Greensite, Fred
The multiplicative inversion operation of a real finite-dimensional unital associative algebra defines a vector field and (assuming the standard topology on the vector space of elements) an associated infinitesimal rotation tensor (and in this regard
Externí odkaz:
http://arxiv.org/abs/2306.14995
Autor:
Greensite, Fred
As we have previously shown, recognition of an algebra's group of uncurling metrics leads to a generalization of the usual algebra norm and a novel set of isomorphism invariants. It is herein detailed how this arose in the analysis of an unusual Inve
Externí odkaz:
http://arxiv.org/abs/2209.14137
Autor:
Greensite, Fred
We present a non-physical interpretation of the Cosmological Constant based on a particular algebraic analysis. This also introduces some novel algebraic structures, such as ``unital norms", ``uncurling metrics", and ``partial wedge products".
C
C
Externí odkaz:
http://arxiv.org/abs/2209.14127
Autor:
Greensite, Fred
A new proof of the Pythagorean Theorem is presented, utilizing George Birkhoff's version of the postulates of Euclidean geometry as incorporating the field of real numbers. Extrapolation of the mechanism of proof leads to a generalization of the usua
Externí odkaz:
http://arxiv.org/abs/2209.14119
Autor:
Greensite, Fred
We present a generalization of the notion of an algebra norm relevant to real finite-dimensional unital associative algebras. Among other things, this leads to a novel set of algebra isomorphism invariants, some of which are computationally straightf
Externí odkaz:
http://arxiv.org/abs/2207.11358
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2001 Jun . 359(1783), 1277-1286.
Externí odkaz:
https://www.jstor.org/stable/3066570
Autor:
Greensite, Fred
For real finite-dimensional unital associative algebras we identify a group of characterizations of an algebra's multiplicative inversion operation, some of whose features are novel computationally straightforward algebra isomorphism invariants. Thes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ec4d737a8cc840e4568ab43257c51db
http://arxiv.org/abs/2306.14995
http://arxiv.org/abs/2306.14995
Autor:
Greensite, Fred
Publikováno v:
SIAM Journal on Applied Mathematics, 1998 Sep 01. 59(1), 1-16.
Externí odkaz:
https://www.jstor.org/stable/118370
Autor:
GREENSITE, FRED
Publikováno v:
Quarterly of Applied Mathematics, 2009 Mar 01. 67(1), 137-161.
Externí odkaz:
https://www.jstor.org/stable/43638864
Publikováno v:
In Journal of the Neurological Sciences 2009 287(1):7-16