Search results for "QA Mathematics"

BIO-SYSTEMS AS SELF-ORGANIZING QUANTUM SYSTEMS

2018

This book belongs to a series of online books summarizing the recent state Topological Geometrodynamics (TGD) and its applications. TGD can be regarded as a unified theory of fundamental interactions but is not the kind of unified theory as so called GUTs constructed by graduate students at seventies and eighties using detailed recipes for how to reduce everything to group theory.

Dzīvība un matemātika: vai ir kas kopīgs?

2013

Evidence for spatiotemporal shift in demersal fishery management priority areas in the western Mediterranean

2022

14 pages, 10 figures, 2 tables, 1 appendix

GPT no iekšpuses: ko var iesākt ar GPT? Matemātiķa skatījums. Mans skatījums.

2023

Aplūkojam vienu no AI language model rīkiem, ChatGPT, ko matemātiķis var gūt no šādām AI sistēmām. Apskatām sarunas ar GPT, apskatām rekomendācijas, kādas dod gan pats GPT, gan ko izsecinām no prakses, GPT lietojot. Diskutējam par GPT spēju pierādīt matemātiskas teorēmas.

On nature of mathematics. On mathematics and reality Par matemātikas dabu. Par matemātiku un realitāti

2007

Idea that mathematics should be considered as creative order in nature is considered.

Modeling multiple taxis: Tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence

2021

We provide a short review of existing models with multiple taxis performed by (at least) one species and consider a new mathematical model for tumor invasion featuring two mutually exclusive cell phenotypes (migrating and proliferating). The migrating cells perform nonlinear diffusion and two types of taxis in response to non-diffusing cues: away from proliferating cells and up the gradient of surrounding tissue. Transitions between the two cell subpopulations are influenced by subcellular (receptor binding) dynamics, thus conferring the setting a multiscale character. We prove global existence of weak solutions to a simplified model version and perform numerical simulations for the full se…

Can there be a general nonlinear PDE theory for existence of solutions ?

2010

Updated version of the 2004 paper arxiv:math/0407026; Contrary to widespread perception, there is ever since 1994 a unified, general type independent theory for the existence of solutions for very large classes of nonlinear systems of PDEs. This solution method is based on the Dedekind order completion of suitable spaces of piece-wise smooth functions on the Euclidean domains of definition of the respective PDEs. The method can also deal with associated initial and/or boundary value problems. The solutions obtained can be assimilated with usual measurable functions or even with Hausdorff continuous functions on the respective Euclidean domains. It is important to note that the use of the or…

Contribution of observed multi frequency spectrum of Alfvén waves to coronal heating

2019

Context. Whilst there are observational indications that transverse magnetohydrodynamic (MHD) waves carry enough energy to maintain the thermal structure of the solar corona, it is not clear whether such energy can be efficiently and effectively converted into heating. Phase-mixing of Alfvén waves is considered a candidate mechanism, as it can develop transverse gradient where magnetic energy can be converted into thermal energy. However, phase-mixing is a process that crucially depends on the amplitude and period of the transverse oscillations, and only recently have we obtained a complete measurement of the power spectrum for transverse oscillations in the corona. Aims. We aim to investig…

ORNAMENTAL SIGN LANGUAGE IN THE FIRST ORDER TRACERY BELTS

2010

18 pages; We consider ornamental sign language of first order where principles of sieve displacement, of asymmetric building blocks as base of ornament symmetry, color exchangeability and side equivalence principles work. The generic aspects of sieve and genesis of ornamental pattern and ornament sign in it are discussed. The hemiolia principle for ornamental genesis is introduced. The discoverer of most of these principles were artist Modris Tenisons [4, 5, 6, 7 (refs. 23, 24), 8 (ref. 65)]. Here we apply systematical research using simplest mathematical arguments. We come to conclusions that mathematical argument in arising ornament is of much more significance than simply symmetries in i…