Automāti ar p-adiskiem parametriem

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Automāti ar p-adiskiem parametriem

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Šajā bakalaura darbā autors ir apskatījis p-adiskos skaitļus un veidus, kā pielietot to savdabīgo absolūtās vērtības interpretāciju, lai uzlabotu divas izplatītas konstrukcijas – galīgus varbūtiskus automātus un varbūtiskus vaicājošos algoritmus, iegūstot ultrametriskos automātus un vaicājošos algoritmus. Darbā ir parādīti konkrēti ultrametriskie automāti un parādīts, cik ļoti tie pārspēj determinētus automātus stāvokļu skaitā. Ir apskatīti vaicājošie algoritmi, kuri nosaka, vai dota k punktu permutācija saglabā doto galīgo projektīvo plakni (darbā ir aprakstīts, ko nozīmē saglabāt projektīvo plakni). Šīs problēmas risināšanā ultrametriskie algoritmi, kā sagaidīts, piedāvā jūtamu sarežģītības samazinājumu.

year	journal	country	edition	language
2012-01-01

https://dspace.lu.lv/dspace/handle/7/19019

PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
  - PE2_1Theory of fundamental interactions
  - PE2_2 Phenomenology of fundamental interactions
  - PE2_3Experimental particle physics with accelerators
  - PE2_4Experimental particle physics without accelerators
  - PE2_6Nuclear, hadron and heavy ion physics
  - PE2_8Gas and plasma physics
  - PE2_5Classical and quantum physics of gravitational interactions
  - PE2_7Nuclear and particle astrophysics
  - PE2_9 Electromagnetism
  - PE2_10Atomic, molecular physics
  - PE2_11Ultra-cold atoms and molecules
  - PE2_18Equilibrium and non-equilibrium statistical mechanics: steady states and dynamics
  - PE2_14Lasers, ultra-short lasers and laser physics
  - PE2_17Metrology and measurement
  - PE2_16Non-linear physics
  - PE2_12Optics, non-linear optics and nano-optics
  - PE2_13Quantum optics and quantum information
  - PE2_15Thermodynamics
- PE1Mathematics
  - PE1_1Logic and foundations
  - PE1_6Geometry and global analysis
  - PE1_8Analysis
  - PE1_7Topology
  - PE1_9Operator algebras and functional analysis
  - PE1_10ODE and dynamical systems
  - PE1_12Mathematical physics
  - PE1_11Theoretical aspects of partial differential equations
  - PE1_13Probability
  - PE1_14Mathematical statistics
  - PE1_15Generic statistical methodology and modelling
  - PE1_4 Algebraic and complex geometry
  - PE1_19Scientific computing and data processing
  - PE1_2Algebra
  - PE1_20Control theory, optimisation and operational research
  - PE1_21Application of mathematics in sciences
  - PE1_22Application of mathematics in industry and society
  - PE1_5Lie groups, Lie algebras
  - PE1_18Numerical analysis
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  - PE1_17Mathematical aspects of computer science
  - PE1_3Number theory
- PE3Condensed Matter Physics
  - PE3_1Structure of solids, material growth and characterisation
  - PE3_2Mechanical and acoustical properties of condensed matter, lattice dynamics
  - PE3_3Transport properties of condensed matter
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  - PE6_1Computer architecture, embedded systems, operating systems
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  - PE6_11Machine learning, statistical data processing and applications using signal processing (e.g. speech, image, video)
  - PE6_6Algorithms and complexity, distributed, parallel and network algorithms, algorithmic game theory
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- PE7Systems and Communication Engineering
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- PE10Earth System Science
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  - PE10_16Ozone, upper atmosphere, ionosphere
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  - PE10_18Cryosphere, dynamics of snow and ice cover, sea ice, permafrosts and ice sheets
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  - PE10_21Earth system modelling and interactions
  - PE10_14Earth observations from space/remote sensing
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  - PE10_13Physical geography, geomorphology
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- PE11Materials Engineering
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  - PE11_7Engineering of metal oxides
  - PE11_8Engineering of alternative established or emergent materials
  - PE11_9Nanomaterials engineering, e.g. nanoparticles, nanoporous materials, 1D & 2D nanomaterials
  - PE11_10Soft materials engineering, e.g. gels, foams, colloids
  - PE11_11Porous materials engineering, e.g. covalent-organic, metal-organic, porous aromatic frameworks
  - PE11_12Semi-conducting and magnetic materials engineering
  - PE11_13Metamaterials engineering
  - PE11_14Computational methods for materials engineering
LSLife Sciences
- LS1Molecules of Life: Biological Mechanisms, Structures and Functions
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  - LS1_4Protein biology
  - LS1_5Lipid biology
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  - LS1_12Protein design
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  - LS1_14Innovative methods and modelling in molecular, structural and synthetic biology
  - LS1_10Synthetic biology
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  - LS1_9Molecular mechanisms of signalling processes
  - LS1_7Molecular biophysics, biomechanics, bioenergetics
- LS2Integrative Biology: from Genes and Genomes to Systems
  - LS2_1Genetics
  - LS2_3Epigenetics
  - LS2_2Gene editing
  - LS2_4Gene regulation
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  - LS2_7Transcriptomics
  - LS2_8Proteomics
  - LS2_9Metabolomics
  - LS2_10Glycomics/Lipidomics
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  - LS2_12Biostatistics
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  - LS2_16Innovative methods and modelling in integrative biology
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- LS4Physiology in Health, Disease and Ageing
  - LS4_1Organ and tissue physiology and pathophysiology
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  - LS4_2Comparative physiology
  - LS4_5Non-hormonal mechanisms of inter-organ and tissue communication
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  - LS4_11Haematopoiesis and blood diseases
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  - LS4_13Other non-communicable diseases (except disorders of the nervous system and immunity-related diseases)
- LS3Cell Biology, Development, Stem Cells and Regeneration
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  - LS3_17Theoretical modelling in cellular, developmental and regenerative biology
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  - LS3_1Cell cycle, cell division and growth
  - LS3_2Cell senescence, cell death, autophagy, cell ageing
- LS5Neuroscience and Disorders of the Nervous System
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  - LS5_4Neural stem cells
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  - LS8_15Theoretical developments and modelling in environmental biology, ecology, and evolution
- LS9Biotechnology and Biosystems Engineering
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  - LS9_1Bioengineering for synthetic and chemical biology
SHSocial Sciences and Humanities
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