archive-eu.com » EU » M » MATHEMATICS-IN-EUROPE.EU

Total: 1028

Choose link from "Titles, links and description words view":

Or switch to "Titles and links view".
  • Mathematics In Europe - Mathematics In Europe
    je očito da je Bošković shvaćao da se rješenje proizvoljne točnosti može dobiti korištenjem trigonometrijskih tablica no da kako se sferni trokut obično rješava iz primijenjenih razloga pa poznati podaci sadrže greške mjerenja općenito nema smisla računati nepoznate veličine na preveliku točnost Bošković napominje i da čak i kad postoji potreba za velikom točnošću njegova geometrijska metoda može poslužiti kao kontrola točnosti rješenja Na temu sferne trigonometrije i njene primjene u astronomiji objavio je više djela od kojih je najpoznatije De formules différentielles de trigonométrie objavljeno u sklopu Opera pertinentia ad opticam et astronomiam etc 1785 gdje je uveo četiri temeljne jednadžbe diferencijalne ravninske i sferne trigonometrije iz kojih se mogu izvesti sve ostale Njegova teorija konika opisana u trećem svesku udžbenika Elementa universae matheseos 1754 bila je prva potpuna i sustavna teorija konika a sadrži mnoge nove ideje i izvedena je čisto geometrijskim argumentima Specijalno kao definiciju svih konika iz koje je izveo sva njihova svojstva odabrao je sljedeću konika je geometrijsko mjesto točaka u ravnini za koje je omjer udaljenosti do čvrste točke žarišta i čvrstog pravca ravnalice konstantna Taj omjer je nazvao ratio determinans konike a danas ga nazivamo numeričkim ekscentricitetom Iako je ovo svojstvo bilo poznato još starogrčkim matematičarima posebice Papusu Aleksandrijskom nikad prije nije korišteno kao definicija prije Boškovića konike su definirane kao krivulje koje nastaju presjekom stošca ravnine dok kod njega teorija konika postaje čisto ravninske Uveo je i vrlo korisno sredstvo za dokazivanje raznih tvrdi o konikama To je poznata Boškovićeva ekscentrična kružnica kružnica s proizvoljnim središtem koja ima svojstvo da joj je omjer polumjera i udaljenosti središta do ravnalice jednak omjeru ratio determinans Koristeći ju Bošković je opisao razne konstrukcije i izveo mnoga svojstva konika posebice tako što ih je izvodio iz svojstava kružnica koristeći korespondenciju ekscentrične kružnice i konike Kao prilog De transformatione locorom geometricorum trećem svesku Elementa universae matheseos Bošković je predstavio i potpuno novu teoriju geometrijskih transcformacija koje su u osnovi kolineacije te ga se može smatrati prethodnikom razvoja projektivne i sintetičke geometrije u 19 stoljeću Bošković je prvi predstavio sistematsku i općenitu metodu za izravnavanje grešaka tj procjenu krivulje koja najbolje opisuje podatke Razvio ju je da ujednači rezultate geodetskih mjerenja podaci na koje je primijenio svoju metodu bili su skupljeni na ekspedicijskom putovanju od Rima do Riminija koje je poduzeo s engleskim isusovcem Cristopher om Maire om kako bi skupio podatke o dvama meridijanskim stupnjevima Skupljene podatke i metodu je opisao u De Litteraria expeditione per pontificam ditionem ad dimetiendos duos meridiani gradus a P P Maire et Boscovich 1755 a s više detalja u nekim kasnijim tekstovima Boškovićeva ideja za nalaženje krivulje koja najbolje opisuje podatke je da minimizira zbroj apsolutnih vrijednosti ostupanja izmjerenih vrijednosti od vrijednosti koje bi se dobilo korištenjem krivulje Boškovićevu je metodu analitički opisao Pierre Simon Laplace 1789 Metoda je neposredni prethodnik metode najmanjih kvadrata koju su razvili Adrien Marie Legendre ind Carl Friedrich Gauss Bošković je dao i više doprinosa matematičkoj fizici od kojih je najpoznatije rješenje problema tijela najveće privlačne

    Original URL path: http://mathematics-in-europe.eu/hr/component/content/article?id=826 (2013-11-18)
    Open archived version from archive


  • Mathematics In Europe - Diderot Mathematical Forum 2013
    Popularizacijske aktivnosti Natjecanja Matematička pomoć Matematika kao zanimanje Razno Articles in Croation Izjava o svrsi Dobrodošli EMS Sponzor Jezici Kontakt Impresum Traži The European Mathematical Society Our Sponsor Munich RE Diderot Mathematical Forum 2013 Detalji Kategorija News On December 17 2013 there will take place a Diderot Forum Mathematicians in Berlin Germany Exeter UK and Zagreb Croatia give lectures concerned with Mathematics of Planet Earth 2013 for a general public

    Original URL path: http://mathematics-in-europe.eu/hr/novosti/10-frontpage/news/1011-diderot-mathematical-forum-2013 (2013-11-18)
    Open archived version from archive

  • Mathematics In Europe - Bridges Conference 2013
    Matematika kao zanimanje Razno Articles in Croation Izjava o svrsi Dobrodošli EMS Sponzor Jezici Kontakt Impresum Traži The European Mathematical Society Our Sponsor Munich RE Bridges Conference 2013 Detalji Kategorija News In the last days of July the Bridges conference 2013 took place in Enschede Netherlands Mathematicians met artists poets dancers and musicians to exchange ideas on the relations between their fields Bridges Conferences are organised since 1998 Here is the mission statement The International annual conference of Bridges Mathematical Connections in Art Music and Science was created in 1998 and is conducted annually It has provided a remarkable model of how seemingly unrelated and even antipodal disciplines such as mathematics and art can be crossed During the conference practicing mathematicians scientists artists educators musicians writers computer scientists sculptures dancers weavers and model builders have come together in a lively and highly charged atmosphere of mutual exchange and encouragement Important components of this conference series apart from formal presentations are gallery displays of visual art working sessions with practitioners and artists who are crossing mathematics arts boundaries and evening musical or theatrical events Furthermore a lasting record of each Bridges Conference is its Proceedings a beautiful resource book of the

    Original URL path: http://mathematics-in-europe.eu/hr/novosti/10-frontpage/news/1000-bridges-conference-2013 (2013-11-18)
    Open archived version from archive

  • Mathematics In Europe - Gaps between prime numbers
    Society Our Sponsor Munich RE Gaps between prime numbers Detalji Kategorija News The prime numbers 2 3 5 7 11 have attracted the attention of mathematicians since centuries How small can the gaps between very large primes be Are there e g infinitely many examples where both p and p 2 are primes so called twin primes This problem is far from being solved but recently it has been proved

    Original URL path: http://mathematics-in-europe.eu/hr/novosti/10-frontpage/news/997-gaps-between-prime-numbers (2013-11-18)
    Open archived version from archive

  • Mathematics In Europe - Abel prize ceremony in Oslo
    European Mathematical Society Our Sponsor Munich RE Abel prize ceremony in Oslo Detalji Kategorija News On May 21 the Belgian mathematician Pierre Deligne received the Abel prize 2013 from the Norwegian King in the aula of the university in Oslo The Abel prize is one of the most prestigeous prizes in mathematics it is awarded annually by the Norwegian academy of Sciences of Lettres The prize sum is about 800

    Original URL path: http://mathematics-in-europe.eu/hr/novosti/10-frontpage/news/987-abel-prize-ceremony-in-oslo (2013-11-18)
    Open archived version from archive

  • Mathematics In Europe - Postage stamps and the history of mathematics
    Impresum Traži The European Mathematical Society Our Sponsor Munich RE Postage stamps and the history of mathematics Detalji Kategorija Strick Here we present translations of articles that have been written by Heinz Klaus Strick Germany translations David Kramer They appeared originally in German in 2009 and 2011 in the German science journal Spektrum der Wissenschaft They are republished here with the kind permission of the author and Spektrum der Wissenschaft

    Original URL path: http://mathematics-in-europe.eu/hr/76-enjoy-maths/strick/598-postage-stamps-and-the-history-of-mathematics (2013-11-18)
    Open archived version from archive

  • Mathematics In Europe - The mathematical dictionary: Symbols
    zanimanje Razno Articles in Croation Izjava o svrsi Dobrodošli EMS Sponzor Jezici Kontakt Impresum Traži The European Mathematical Society Our Sponsor Munich RE The mathematical dictionary Symbols Detalji Kategorija Mathematics in foreign languages Our dictionary of mathematical symbols provides help with how to speak about mathematics in various European languages It is administrated by Krzysztof Ciesielski Kraków Poland Choose a language and click show you will see how a b

    Original URL path: http://mathematics-in-europe.eu/hr/65-mathhelp/mathematics-in-foreign-languages/127-the-mathematical-dictionary-symbols (2013-11-18)
    Open archived version from archive

  • Mathematics In Europe - Recreational Mathematics
    Brückler How many candies do you have By Franka Brückler The Three Ducks Trick by Franka Brückler The clairvoyant mathe magician by Franka Brückler Gergonne s trick by Franka Brückler Two rows of pebbles by Franka Brückler The Four Ducks Trick by Franka Brückler Inductive Magic by Franka Brückler Magical mathematics The Integers by Ehrhard Behrends Order amidst Chaos by Ehrhard Behrends Magical invariants by Ehrhard Behrends A Beer Trick

    Original URL path: http://mathematics-in-europe.eu/hr/78-enjoy-maths/recreational-mathematics/611-recreational-mathematics (2013-11-18)
    Open archived version from archive