Ultrametriski algoritmi dažādiem automātu tipiem

6533b832fe1ef96bd129a7d9

RESEARCH PRODUCT

Ultrametriski algoritmi dažādiem automātu tipiem

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Bakalaura darbā tiek apskatīti p-adiski skaitļi un to izmantošana automātos par parametriem, kas ļauj veidot ultrametriskus automātus. Ultrametriski automāti ir līdzīgi varbūtiskiem automātiem, tikai varbūtību vietā tiek izmantotas amplitūdas, kas ir p-adiski skaitļi. Darbā tiek apskatītas ultrametrisku algoritmu izmantošanas iespējas atpazīstamo valodu klases paplašināšanai, nepieciešamo stāvokļu skaita samazināšanai un sarežģītības samazināšanai. Tiek apskatīti ultrametriski algoritmi galīgiem vienvirziena un divvirzienu automātiem, automātiem ar magazīnas atmiņu, automātiem ar vairākām galviņām un Tjūringa mašīnām. Darbā ir parādīts, ka determinētas Tjūringa mašīnas uzdevumus var reducēt uz ultrametriskiem galīgiem automātiem, kā arī pierādītas vairākas teorēmas par dažādiem automātu tipiem.

year	journal	country	edition	language
2013-01-01

https://dspace.lu.lv/dspace/handle/7/17088

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
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  - 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
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  - PE1_21Application of mathematics in sciences
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  - PE1_3Number theory
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  - PE3_2Mechanical and acoustical properties of condensed matter, lattice dynamics
  - PE3_3Transport properties of condensed matter
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  - PE11_7Engineering of metal oxides
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  - 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
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LSLife Sciences
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  - LS2_9Metabolomics
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  - LS4_1Organ and tissue physiology and pathophysiology
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- LS5Neuroscience and Disorders of the Nervous System
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SHSocial Sciences and Humanities
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