Search results for "kompleksiluvut"

showing 6 items of 6 documents

Visible and nonexistent trees of Mandelbrot sets

2003

iterointikompleksiluvutMandelbrotin joukkoMandelbrotin fraktaalifraktaalit

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Kierrosluku ja yhdesti yhtenäiset alueet

2011

kompleksianalyysikompleksiluvutkierrosluvut

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Kompleksiluvut ja kvaterniot kiertoina

2012

kompleksiluvutkvaterniokonjugointiisometria

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Fuchsin ryhmän perusalue

2011

kompleksiluvuttopologia

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Kvaterniot

2014

kvaterniotkompleksiluvut

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Tason isometriat ja similariteetit kompleksiluvuilla

2018

Tämän tutkielman tarkoituksena on tarkastella isometrioita ja similariteettejä tasossa kompleksilukujen avulla. Tässä kirjoitelmassa tarvitaan kompleksilukujen ominaisuuksista ainakin kompleksiluvun käänteisluku ja argumenttien laskusäännöt. Lisäksi isometrioiden tulosten todistamista helpottavat erilaiset kompleksilukujen esitystavat, kuten napakoordinaattiesitys ja imaginääriyksikön avulla esittäminen. Isometriat ovat kuvauksia, jotka säilyttävät jokaisen pisteen välisen etäisyyden kuvauksen aikana. Tason isometrioita ovat siirto, kierto, peilaus ja peilauksen ja siirron yhdisteenä saatava liukupeilaus. Edellä mainitut kaikki Gaussin tason isometriat voidaan jakaa kahteen luokkaan: suorii…

matematiikkaHjelmslevin lausekompleksiluvutsimilariteettiisometria

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PEPhysical Sciences and Engineering
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